review test #1 2015 review...3) a jar of change has $68.45 in it. there are 7 less dimes than 4...

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Final Exam Review Packet 1 Name ______________________________________________________ Date ________________ Teacher______________________________________________________ Period _____________ Review Test #1 Part 1 Answer 20 out of the 25 questions from this part. Fill in your answers on the scantron sheet provided. Each correct answer will receive 2 credits. For each of the 5 questions you omit, fill in choice 5, “OMIT”, on the scantron sheet. No partial credit will be given. ____ 1) Find the equation of the line that has a slope of and passes through the point [1] y [2] [3] [4] ____ 2) If A = and B = , then equals: [1] [2] [3] [4] ____ 3) A swim team member performs a dive from a foot high spring board. The parabola shows the path of her dive. Which equation represents the axis of symmetry? [1] [2] [3] [4] ____ 4) Which choice represents the domain of the data as displayed in the graph? [1] [0, 100] [2] [25,100] [3] [5700, 22800] [4] [0, 22800]

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Page 1: Review Test #1 2015 Review...3) A jar of change has $68.45 in it. There are 7 less dimes than 4 times the amount of nickels. There are 7 less dimes than 4 times the amount of nickels

Final Exam Review Packet

1

Name ______________________________________________________ Date ________________

Teacher______________________________________________________ Period _____________

Review – Test #1

Part 1 – Answer 20 out of the 25 questions from this part. Fill in your answers on the scantron sheet

provided. Each correct answer will receive 2 credits. For each of the 5 questions you omit, fill in choice 5, “OMIT”, on the scantron sheet. No partial credit will be given.

____ 1) Find the equation of the line that has a slope of

and passes through the point

[1] y

[2]

[3]

[4]

____ 2) If A = and B = , then equals:

[1] [2]

[3] [4] ____ 3) A swim team member performs a dive from a foot – high spring board.

The parabola shows the path of her dive. Which equation represents the axis of symmetry? [1] [2] [3] [4]

____ 4) Which choice represents the domain of the data as displayed in the graph?

[1] [0, 100] [2] [25,100] [3] [5700, 22800] [4] [0, 22800]

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____ 5) Solve for a:

[1]

[2]

[3]

[4]

____ 6) Given: and Which graph shows the solution of the given system of inequalities?

[1] [2] [3] [4]

____ 7) Jenny has 8 more quarters in her piggy bank than dimes for a total value of $10.40. Which

equation could be used to find the number of dimes, x, in her piggy bank? [1] .10(8x) + .25(x) = $10.40 [2] .25(8x) + .10x = $10.40 [3] .10x + .25(x +8) = $10.40 [4] .10(x + 8) + .25x = $10.40

____ 8) Solve for x.

[1] x = [2] x = [3] x = [4] x =

____ 9) Find the slope of the line passing through the points: and

[1]

[2]

[3]

[4]

____ 10) Find the product of and

[1] [2]

[3] [4]

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____ 11) The graph of is shown above. Which point could be used to find f(-2)? [1] C [2] D [3] E [4] F

____ 12) Which of the following lines is parallel to

?

[1] [2]

[3] [4]

____ 13) The table below represents the function F. The equation that represents this function is

[1] [2] [3] [4]

____ 14) Given the expression - - what is the greatest common factor? [1] [2] [3] [4]

____ 15) Which value(s) of x makes the denominator of

equal to zero?

[1] {-4,10} [2] {7} [3] {-10, 4} [4] {-7}

____ 16) Which equation has the same solution as:

[1] [2] [3] [4]

____ 17) Which interval notation represents the set of numbers that are greater than or equal to

- but are less than 7?

[1] - [2] -

[3] - [4] -

x 0 1 2 4 5 F(x) 1 3 9 81 243

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____ 18) If A = (x + 4) and B = (x + 3), what is [1] [2] [3] [4] ____ 19) A company the manufactures protective cases for iPhones. The company has a fixed cost of

plus a unit cost for the production of each case. If the cost function for the company is c(x) = 13.75 + 500, what does 13.75 represent? [1] The company’s fixed cost [2] The company’s unit cost [3] The company’s total cost [4] The company’s profit

____ 20) Evaluate:

[1] [2] 8

[3] [4] ____ 21) The accompanying diagram shows a box-and-whisker plot of student test scores on last year’s Mathematics midterm. What is the median score? [1] 62 [2] 71 [3] 81 [4] 92

____ 22) Write the expression so it contains only positive exponents:

[1]

[2]

[3]

[4]

____ 23) Solve for x:

-

-

[1] -20.5 [2] -21

[3] -

[4] -10.25

____ 24) Which of the following equations can be used to solve for the number, if 5 more than the

number is 7 less than half the number.

[1] 5 + x – 7 =

[2] x + 5 =

[3] 2x – 5 =

[4] x + 5=

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____ 25) Graph 8x + 5 > 2x + 17

[1]

[2]

[3]

[4]

Part 2 – Answer All Questions from this part in the space provided. Show all work, including formulas.

A correct answer with no work shown will only receive 1 credit. 1) Solve for b: 2) What are the slope and y-intercept of the following equation? 3) Solve the inequality:

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4) Let be the function represented by the graph. What are the roots of the function? Part 3 – Answer All Questions from this part in the space provided. Show all work, including formulas.

A correct answer with no work shown will only receive 1 credit. 1) Factor each quadratic completely:

a) – – b) –

c) – d) –

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2) Solve the following system of equations graphically 3) A jar of change has $68.45 in it. There are 7 less dimes than 4 times the amount of nickels. There are 3 more quarters than double the amount of nickels. How many nickels, dimes, and quarters are in the jar? (There are no pennies in the jar)

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4) A bank is advertising that new customers can open a savings account with a

% interest rate

compounded annually. Robert invests $5,000 in an account at this rate. If he makes no additional deposits or withdrawals on his account, find the amount of money he will have, to the nearest cent, after three years. 5) Solve for x:

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Part 4 – Answer 1 out of the 2 Questions from this part in the space provided. Answer all parts of the question. Show all work, including formulas. A correct answer with no work shown will only receive 1 credit.

1) Derek and Jorge went to the burger stand and bought dinner. Derek had 4 cheeseburgers and 1 order of fries. Jorge bought 3 cheeseburgers and 2 fries. Derek paid $17.25. Jorge paid $16.25. What would the total bill be for 2 cheeseburgers and 1 fries cost? 2) On the axes below, graph the function . (b) If g(x) = f(x ), how is the graph of f(x) translated to form the graph of g(x)? (c) If h(x) = f(x) + 6, how is the graph of f(x) translated to form the graph of h(x)?

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Part 5 – Answer 2 out of the 3 Questions from this part in the space provided. Answer all parts of the question. Show all work, including formulas. A correct answer with no work shown will only receive 1 credit.

1) Two students measured the density of solution in a science lab. Their average value was 2.438 grams/ml. The accepted value is 2.375 grams/ml. What is the percent of error in the student’s measurements to the nearest tenth? 2) Write an equation that defines m(x) as a trinomial where Solve for x when .

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3) A company is considering building a manufacturing plant. They determine the weekly production cost at site A to be , while the production cost at site B is , where x represents the number of products, in hundreds, and A(x) and B(x) are the product costs, in hundreds of dollars. Graphed below are the functions. a) State the positive value(s) of x for which the production costs at the two sites are equal. Explain how you determined your answer. b) If the company plans on manufacturing 200 products per week, which site should

they use? Justify your answer.

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Name ______________________________________________________ Date ________________

Teacher______________________________________________________ Period _____________

Review – Test #2

Part 1 – Answer 20 out of the 25 questions from this part. Fill in your answers on the scantron sheet

provided. Each correct answer will receive 2 credits. For each of the 5 questions you omit, fill in choice 5, “OMIT”, on the scantron sheet. No partial credit will be given.

____ 1) Which equation has the same solution as:

[1] [2 [3] [4]

____ 2) If A = x – 1 and B = x + 5, what is [1] [2] [3] [4]

____ 3) Which of the following lines is perpendicular to

[1] [2]

[3] [4]

____ 4) Given the expression - - what is the greatest common factor? [1]36 [2] [3] [4]

____ 5) Solve for x:

[1]

[2]

[3]

[4]

____ 6) If A = 8x + 3 and B = 5 + 6x. What is [1] 2x + 8 [2] 14x – 2 [3] 2x + 2 [4] 2x – 2

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____ 7) Graph 8x + 5 > 4x - 3

[1]

[2]

[3]

[4]

____ 8) Which choice represents the range of the data as displayed in the graph?

[1] [0, 100] [2] [25,100] [3] [5700, 22,800] [4] [0, 22800]

____ 9) What value(s) of x makes the denominator of

equal to zero?

[1] 3 [2] [3] 5 [4]

____ 10) The table below represents the function F.

The equation that represents this function is [1] [2]

[3] [4] –

____ 11) Evaluate:

[1] 64 [2] 12

[3] 4 [4] 7

x 2 3 4 6 7 F(x) 10 14 22 70 134

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____ 12) Find the equation of the line that has a slope of and passes through the point (4,3) [1] [2] [3] [4]

____ 13) Which graph represents the solution of ?

[1] [2] [3] [4]

____ 14) The box-and-whisker plot below represents students scores on a recent English test. What is the range of the scores? [1] 30 [2] 28 [3] 76 [4] 94

____ 15) Solve for x. – [1] x = 7 and 15 [2] x = 5 and 9 [3] x = 27 and 15 [4] x = 5 and -9

____ 16) Find the slope of the line passing through the points: and

[1]

[2]

[3] undefined [4] 0 ____ 17) If and , the value of is

[1] 16 [2] 23 [3] 34 [4] 41

____ 18) Find three consecutive even integers such that the sum of the 1st and 3rd is -100.

[1] -52, -50, -48 [2] -31, -29, -27 [3] -52, -54, -56 [4] -53, -51, -49

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____ 19) Write the expression so it contains only positive exponents:

[1]

[2]

[3] [4]

____ 20) Which interval notation represents “the set of numbers from -8 to 2 inclusive”?

[1] - [2] -

[3] - [4] -

____ 21) Multiply:

[1] [2]

[3] [4] ____ 22) A sweatshirt company must charge a $32 flat fee to design a jersey plus $19 for each jersey

produced. Which function represents the company’s cost function? [1] [2] [3] [4]

____ 23) Which of the following equations can be used to solve for the number, if 18 less than triple the number is the same as the sum of the number and 9.

[1] 18 – 3x = 9 + x [2] 3x – 18 = x + 9 [3] 3x + 18 = x + 9 [4] 18x + 3 + x = 9

____ 24) Solve for x:

-

-

[1] -24.25 [2] 23.75 [3] 24.25 [4] -23.75

____ 25) The zeros of the function are [1] and [2] and [3] and [4] and

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Part 2 – Answer All Questions from this part in the space provided. Show all work, including formulas. A correct answer with no work shown will only receive 1 credit.

1) Solve for r:

2) Solve the inequality: 3) Let be the function represented by the graph. What are the zeros of the function?

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4) What are the slope and y-intercept of the following equation?

Part 3 – Answer All Questions from this part in the space provided. Show all work, including formulas.

A correct answer with no work shown will only receive 1 credit. 1) A jar of change has $209.25 in it. There are 10 dimes less than twice the amount of nickels and 15 less quarters than triple the amount of nickels. How many nickels, dimes, and quarters are in the jar? (There are no pennies in the jar)

2) Solve for x: –

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3) Kirsten invested $1000 in an account at an annual interest rate of 3%. She made no deposits or withdrawals on the account for 5 years. The interest was compounded annually. Find the balance in the account, to the nearest cent, at the end of 5 years. 4) Solve the following system of equations graphically

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5) Factor each quadratic completely:

a) – b) – c) d)

Part 4 – Answer 1 out of the 2 Questions from this part in the space provided. Answer all parts of the

question. Show all work, including formulas. A correct answer with no work shown will only receive 1 credit.

1) At the Prep bookstore, long sleeve t-shirts cost $22 and short sleeve t-shirts cost $17. If the bookstore sold 240 t-shirts and collected $4,735, how many of each were sold?

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2) (a) On the axes below, graph the function . (b) If g(x) = f(x + 4), how is the graph of f(x) translated to form the graph of g(x)? (c) If h(x) = f(x) – 8 , how is the graph of f(x) translated to form the graph of h(x)? Part 5 – Answer 2 out of the 3 Questions from this part in the space provided. Answer all parts of the

question. Show all work, including formulas. A correct answer with no work shown will only receive 1 credit.

1) Write an equation that defines m(x) as a trinomial where Solve for x when .

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2) A scientist found the density of a certain metal to be 1.85 grams/ . The accepted value for this density is 1.92 grams/ . What is the relative error? Express your answer as a decimal to the nearest thousandth. 3) Amanda lives between two different Movie Rental Stores. She is having friends over this weekend and needs to decide which store to rent from. The first store is represented by , while the second store is running a sale and represented by . a) At what point will the cost of movie rentals be the same at both stores? b) If Amanda wants to rent 5 movies which store should she go to and how much

money should she bring with her?

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Name ______________________________________________________ Date ________________

Teacher______________________________________________________ Period _____________

Review – Test #3

Part 1 – Answer 20 out of the 25 questions from this part. Fill in your answers on the scantron sheet

provided. Each correct answer will receive 2 credits. For each of the 5 questions you omit, fill in choice 5, “OMIT”, on the scantron sheet. No partial credit will be given.

____ 1) The Deans at Prep use a function, L, to analyze lunch patterns. L(n) represents the rate of

students purchasing lunch, where n is the number of students observed buying lunch in a specified time interval. What would be the most appropriate domain for the function? [1] {…-2, -1, 0, 1, 2…} [2] {0, 0.5, 1, 1.5, 2, 2.5, …} [3] {-3, -1, 0, 1, 3} [4] {0, 1, 2, 3, 4…}

____ 2) Which of the following lines is parallel to the graphed line?

[1] [2]

[3] [4]

____ 3) Little Tanisha has 7 more dimes, hidden in a jar under her bed, than pennies for a total value

of $6.64. Which equation could be used to find the number of pennies, x, in her jar? [1] .01(7x) + .10(x) = $6.64 [2] .01(x + 7) + .10(x) = $6.64 [3] .01(x) + .10(7x) = $6.64 [4] .01(x) + .10(x + 7) = $6.64

____ 4) Which value(s) of x makes the denominator of

equal to zero?

[1] {-9,9} [2] {-4,4} [3] {4,9} [4] {2,8}

____ 5) Which of the following equations can be used to solve for the number, if 3 times a number is

subtracted from seven times the same number the result is 12. [1] 3x – 7 = 12 [2] 3x = 7x – 12 [3] 7x – 3x = 12 [4] 3x – 7x = 12

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____ 6) Graph

[1]

[2]

[3]

[4]

____ 7) If A = x – 4 and B = x – 6, what is the product of A and B?

[1] – [2]

[3] – [4] – – ____ 8) Solve for x.

[1] x = 20 and 60 [2] x = 4 and 12 [3] x = 5 and 12 [4] x = 12 and 4

____ 9) Solve for x:

[1] [2] [3] [4] ____ 10) Find the equation of the line that has a slope of and passes through the point (4,3)

[1] [2] [3] [4]

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____ 11) Given: and Which graph shows the solution of the given system of inequalities?

[1] [2] [3] [4]

____ 12) Which equation has the same solution as: [1] [2] [3] [4]

____ 13) Multiply:

[1] [2]

[3] [4] ____ 14) What is the value of the third quartile shown on the box-and-whisker plot? [1] 6 [2] 8.5 [3] 10 [4] 12

____ 15) The sum of and – is: [1] [2] [3] [4]

____ 16) Evaluate: –

[1] [2] –

[3] [4] ____ 17) The table below represents the function F.

The equation that represents this function is [1] [2] [3] [4]

x 1 2 3 5 6 F(x) 1 7 25 241 727

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____ 18) Solve for x:

[1] 30.8 [2] 29.2

[3]

[4] 14.9

____ 19) Let be the function represented by the graph. Let

be a function such that

. Which

function has the larger maximum value? [1] [2]

____ 20) Write the expression so it contains only positive exponents:

[1]

[2]

[3]

[4]

____ 21) A cell phone company charges $51 a month for up to 1 gigabyte computations of data. The cost of additional data is $0.10 per megabyte. If d represents the number of additional megabytes

used and c represents the total charges at the end of the month, which linear equation can be used to determine a user’s monthly bill? [1] c = 51.10d [2]c = 51d + 0.10 [3] c = 51 - .10d [4] c = 51 + .10d

____ 22) Which statement represents -

[1] - [2] -

[3] - [4] -

____ 23) Given the expression – what is the greatest common factor? [1]7 [2] [3] [4]

____ 24) Find the slope of the line passing through the points: and [1] 1 [2] [3] undefined [4] 0

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____ 25) The graph of is shown above

Which point could be used to find f(x) = [1] A [2] B [3] C [4] D

Part 2 – Answer All Questions from this part in the space provided. Show all work, including formulas.

A correct answer with no work shown will only receive 1 credit. 1) Solve for r: 2) What are the slope and y-intercept of the following equation?

3) Let be the function represented by the graph. What are the zeros of the function?

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4) Solve the inequality: Part 3 – Answer All Questions from this part in the space provided. Show all work, including formulas.

A correct answer with no work shown will only receive 1 credit. 1) Solve the following system of equations graphically

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2) Factor each quadratic completely:

a) – b) – –

c) – d) – –

3) A bank account balance, b, for an account starting with s dollars, earning an annual interest rate, r, and left untouched for n years can be calculated as (an exponential growth formula). Find a bank account balance to the nearest dollar, if the account starts with $100, has an annual rate of 4%, and the money left in the account for 12 years.

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4) Solve for x: – 5) A jar of change has $57.25 in it. There are 2 dimes more than 3 times the amount of nickels and 3 quarters less than double the amount of nickels. How many nickels, dimes, and quarters are in the jar? (There are no pennies in the jar)

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Part 4 – Answer 1 out of the 2 Questions from this part in the space provided. Answer all parts of the question. Show all work, including formulas. A correct answer with no work shown will only receive 1 credit.

1) There is a jar of change containing only nickels and quarters. If there are 400 coins in the jar and the value of the coins is $41.45, how many of each coin are in the jar? 2) The graph of the quadratic function defined by has been translated 5 units left and 3 units down. What is the formula for the function, g? Graph and label both functions on the axes below.

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Part 5 – Answer 2 out of the 3 Questions from this part in the space provided. Answer all parts of the

question. Show all work, including formulas. A correct answer with no work shown will only receive 1 credit.

1) Write an equation that defines m(x) as a trinomial where Solve for x when . 2) In a Physics experiment, the acceleration of gravity was found to be 8.7 meters per second. The accepted acceleration of gravity to t his degree of accuracy is 9.1 meters per second. What is the approximate percent of error to the nearest tenth?

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3) Tom throws a ball into the air from the edge of a 48-foot-high cliff so that it eventually lands on the ground, represented by . Chris is at the base of the cliff and throws a frisbee, represented by . The graph below shows the height, y, of the ball from the ground after x seconds. a) At what height will the ball and frisbee hit? b) How long will it take for the ball and frisbee to hit?

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Name ______________________________________________________ Date ________________

Teacher______________________________________________________ Period _____________

Review – Test #4

Part 1 – Answer 20 out of the 25 questions from this part. Fill in your answers on the scantron sheet

provided. Each correct answer will receive 2 credits. For each of the 5 questions you omit, fill in choice 5, “OMIT”, on the scantron sheet. No partial credit will be given.

____ 1) Find four consecutive odd integers with a sum of 104. [1] 27, 29, 31, 33 [2] 24, 26, 28, 30

[3] 23, 25, 27, 29 [4] 21, 23, 25, 27

____ 2) Which value of x makes the denominator of

equal to zero?

[1] 2 [2] 4

[3] [4]

____ 3) Which expression represents in simplest form? [1] [2] [3] [4]

____ 4) Graph

[1]

[2]

[3]

[4]

____ 5) Given the expression - what is the greatest common factor? [1] [2] [3] [4]

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____ 6) If A = and , then A – B equals: [1] [2] [3] [4] ____ 7) Which of the following lines is perpendicular to the graphed line?

[1] [2]

[3] [4]

____ 8) What is the vertex of the graphed function? [1] (-2,3) [2] (3,-2) [3] (-3,2) [4] (-2,-3) ____ 9) The function h(t) = represents the height, h(t), in feet, of an object from the

ground at t seconds after it is dropped. A possible domain for this function is [1] [2] [3] [4] all real numbers

____ 10) Write the expression so it contains only positive exponents:

[1]

[2]

[3]

[4]

____ 11) Marci went to the bakery and bought muffins which cost $2.50 each and donuts which cost

$1.75 each. If Marci bought 3 times the amount of donuts than muffins and she spent $31, which equation could be used to solve how many of each item Marci bought? [1] 2.50x + 1.75(3x) = 31 [2] 2.50(3x) + 1.75x = 31 [3] 2.50x – 1.75(3x) = 31 [4] 2.50(3x) – 1.75x = 31

____ 12) Which statement represents “all numbers from -1 up to and including 6”?

[1] - [2] -

[3] - [4] -

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____ 13) Solve for x:

-

[1] -34.25 [2] -13.7 [3] 12.5 [4] -35.75

____ 14) Solve for x: [1] [2] [3] [4] ____ 15) Solve for x.

[1] x = 13 [2] x = 13 and -13 [3] x = 39 and -39 [4] x = -39

____ 16) Which inequality is represented in the graph below.

[1] [2]

[3] [4] ____ 17) The table below represents the function F.

The equation that represents this function is [1] [2] [3] F(x) = 3x + 2 [4]

____ 18) Which equation has the same solution as:

[1] [2] [3] [4]

____ 19) Which of the following equations can be used to solve for the number, if a number is increased

by 4 the result is 6 less than double the number. [1] 4 + a – 6 = 2a [2] a + 4 = 2a – 6 [3] a + 4 = 6 – 2a [4] 4 + a = a – 6

____ 20) Multiply: [1] [2] [3] [4]

x 3 4 5 6 7 F(x) 10 18 34 66 130

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____ 21) Find the slope of the line passing through the points: and [1] 4 [2] [3] [4] 0 ____ 22) Which of the following results in a rational number?

D: A:

V: 7 E:

[1] [2]

[3]

[4] –

____ 23) Find the equation of the line that has a slope of and passes through the point (-1,0)

[1] [2] [3] [4]

____ 24) The graph of is shown above

Which point could be used to find f(5) [1] A [2] B [3] C [4] D

____ 25) The data set: 5, 6, 7, 8, 9, 9, 9, 10, 12, 14, 17, 17, 18, 19, 19 represents the number of hours spent on the Internet in a week by students in mathematics class. Which box-and-whisker plot represents the data? [1] [2] [3] [4]

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Part 2 – Answer All Questions from this part in the space provided. Show all work, including formulas. A correct answer with no work shown will only receive 1 credit.

1) Solve the inequality: 2) What are the slope and y-intercept of the following equation? 3) Solve for h: 4) Let be the function represented by the graph. What are the roots of the function?

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Part 3 – Answer All Questions from this part in the space provided. Show all work, including formulas.

A correct answer with no work shown will only receive 1 credit. 1) Solve for x: 2) Solve the following system of equations graphically

3) On January 1st of a certain year, the price of one gallon of gas was $2.24. Throughout the year, the price of gas increased by 1.7% per month. What was the cost of a gallon of gas on January 1st of the following year? Round your answer to two decimal places.

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4) Factor each quadratic completely:

a) – b)

c) – d) – 5) Jim has a jar of dimes, nickels, and pennies. He has one dime more than five times the number of

nickels and four times as many pennies as nickels. How many of each coin are in the jar if the total value is $7.77?

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Part 4 – Answer 1 out of the 2 Questions from this part in the space provided. Answer all parts of the

question. Show all work, including formulas. A correct answer with no work shown will only receive 1 credit.

1) The graph of the absolute value function defined by has been translated 3 units right and 4 units up creating a new function What is the formula for the function, Graph and label both functions on the axes below. 2) John and Mike went shopping for Mets clothing to set on fire. John bought 4 sweatshirts and 5 t-shirts for $297. Mike bought 2 sweatshirts and 4 t-shirts for $180. Find the cost of each item. If Sarah went into the same store and bought 3 sweatshirts and 5 t-shirts, what would her bill be?

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Part 5 – Answer 2 out of the 3 Questions from this part in the space provided. Answer all parts of the question. Show all work, including formulas. A correct answer with no work shown will only receive 1 credit.

1) Write an equation that defines m(x) as a trinomial where Solve for x when . 2) Many different companies manufacture radios. The company that Sandra works for first pays a start-up cost, and then spends a certain amount of money to manufacture each radio. The cost of manufacturing r radios is given by the function S(r) = 5.25r + 125. The company that Erin works for also pays a start-up cost, and then spends a certain amount of money to manufacture each radio. The cost of manufacturing r radios is given by the function E(r) = 4r + 175. a) Which company manufactures 20 radios

for a cheaper price? b) How many radios have been manufactured

if the cost for both companies was the same?

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3) A bathroom scale in Johnny’s house measured his suitcase as weighing 49.8 lbs. The professional scale at the airport weighed his suitcase at 51.4 lbs. To the nearest percent, what was the relative error?

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Name ______________________________________________________ Date ________________

Teacher______________________________________________________ Period _____________

Review – Test #5

Part 1 – Answer 20 out of the 25 questions from this part. Fill in your answers on the scantron sheet

provided. Each correct answer will receive 2 credits. For each of the 5 questions you omit, fill in choice 5, “OMIT”, on the scantron sheet. No partial credit will be given.

____ 1) What is subtracted from [1] [2] [3] [4] ____ 2) The box-and-whisker plot below represents students’ scores on a recent Math test. What is the value of the median score? [1] 64 [2] 68 [3] 76 [4] 84 ____ 3) Graph

[1]

[2]

[3]

[4]

____ 4) Let . The function is then shifted as shown in

the graph provided. Which equation represents the new function? [1] [2] [3] [4]

____ 5) Solve for x:

-

-

[1] -59.625 [2] -60.375 [3] -2.025 [4] -2.775

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____ 6) If

and , the value of is

[1] -19 [2] -14 [3] 15 [4] 9

____ 7) Which value(s) of x makes the denominator of

equal to zero?

[1] {6} [2] {-12,-4} [3] {3,16} [4] [-8,-6}

____ 8) Which of the following lines is parallel to the graphed line? [1] [2] [3] [4] ____ 9) If A = (2x – 5) and B = (2x + 7) what is the product of A and B? [1] [2] [3] [4] ____ 10) Which notation represents “the set of numbers from and including both -10 and 3”?

[1] - [2] -

[3] - [4] -

____ 11) Bobby has $.65 in his pocket. He only has pennies and nickels. If he has 1 less penny than half the amount of nickels, which equation could be used to solve how many of each coin he has

in his pocket? [1].65 = .1(.5x – 1) + . 5x [2] .65 = .01(.5x – 1) + .05x [3] .65 = .1x + .5(.5x – 1) [4] .65 = .01x + .05(.5x - 1)

____ 12) Write the expression so it contains only positive exponents:

:

[1] [2]

[3]

[4]

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____ 13) Which of the following equations can be used to solve for the number, if four times a number is increased by 3 is equal to twice the sum of the number and 5 [1] n + 3 = 2(n + 5) [2] 4(n + 3) = 2n + 5 [3] 4n + 3 = 2n + 5 [4] 4n + 3 = 2(n + 5)

____ 14) Find five consecutive integers such that the sum of the 2nd and 4th is 112. [1] 54,55,56,57,58 [2] 24,25,26,27,28 [3] 56,57,58,59,60 [4] 52,54,56,58,60 ____ 15) Find the equation of the line that has a slope of and passes through the point (0,-3).

[1] [2] [3] [4]

____ 16) Which equation has the same solution as: – [1] [2] [3] [4]

____ 17) Evaluate: 2 - + 4

[1] 8 [2] 10

[3] 18 [4] 10

____ 18) Given the expression – – what is the greatest common factor? [1] [2] [3] [4]

____ 19) Solve for x:

[1] [2] [3] [4] ____ 20) Solve for x.

[1] x = 11 and 12 [2] x = 11 and 12 [3] x = 11 and 12 [4] x = 8 and 11

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____ 21) Choose the answer that defines the system of linear inequalities shown in the graph below: [1]

[2] [3]

[4]

____ 22) Find the slope of the line passing through the points: and [1] 4 [2] [3] [4] 0 ____ 23) The table below represents the function F.

The equation that represents this function is [1] [2] [3] [4]

____ 24) The expression is equivalent to: [1] [2]

[3] [4] – ____ 25) The Cafeteria uses a function, S, to analyze lunch patterns. S(x) represents the rate of sodas

purchased during lunch, where x is the number of students buying soda in a specified time interval. What would be the most appropriate range for the function? [1] {…-2, -1, 0, 1, 2…} [2] {0, 1.25, 2.50, 3.75, 5.00, 5.25, …} [3] {-3, -1, 0, 1, 3} [4] {0, 100, 200, 300, 400…}

x 0 1 2 3 4 1 4 10 28 82

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Part 2 – Answer All Questions from this part in the space provided. Show all work, including formulas. A correct answer with no work shown will only receive 1 credit.

1) Let be the function represented by the graph. What are the roots of the function? 2) Solve for d: 3) Solve the inequality: 4) What are the slope and y-intercept of the following equation?

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Part 3 – Answer All Questions from this part in the space provided. Show all work, including formulas. A correct answer with no work shown will only receive 1 credit.

1) Solve for x: –

2) Coins in a bank are all dimes, nickels, and quarters. There are twice as many dimes as quarters, and two more nickels than quarters. If the total value of the coins is $7.60, how many of each coin are there? 3) An environmentalist determines that there were845 skunks in the village of Lexington, New York in 2004. The population of skunks is declining at a rate of 4% annually. How many skunks will be left in Lexington in 2016?

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4) Factor each quadratic completely:

a) – – b) –

c) – d) – 5) Solve the following system of equations graphically

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Part 4 – Answer 1 out of the 2 Questions from this part in the space provided. Answer all parts of the question. Show all work, including formulas. A correct answer with no work shown will only receive 1 credit.

1) (a) How would the graph of the absolute value function defined by be affected if the function transformed to (b) Write the equation for a new function ), if is the function shifted 2 units left and 4 units down. 2) Victoria and Nia went to the zoo to see the zebras. At the snack bar Victoria paid $29.00 for 5

popcorns and 2 sodas. Nia paid $25.25 for 2 popcorns and 5 sodas. Find the price of each item.

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Part 5 – Answer 2 out of the 3 Questions from this part in the space provided. Answer all parts of the question. Show all work, including formulas. A correct answer with no work shown will only receive 1 credit.

1) Jane measures the dimensions of the floor in her rectangular classroom for a rug. Her measurements are 10.50 feet by 12.25 feet. The actual measurements of the floor are 10.75 feet by 12.50 feet. Determine the relative error to the nearest thousandth. 2) Write an equation that defines m(x) as a trinomial where Solve for x when .

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3) The local High School is putting on a fundraiser concert. The Seniors and Juniors are selling tickets separately and both believe that they have the best idea for fundraising. The Seniors are utilizing a

function represented by

, where x is the number of tickets sold. The Juniors are

utilizing a function represented by

a) How many tickets must be sold for the Seniors and Juniors to have the same amount of money from the fundraiser? b) If 180 tickets are sold, which class fundraised the most amount of money?