Math 0312 Intermediate AlgebraChapter 1 and 2

Test ReviewName___________________________________ Date___________________________

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Solve the equation for y.1) -5x + 4y = 3 1)

A) y = 3 + 5x4

B) y = -3 - 5x4

C) y = 20x + 12 D) y = 3 - 5x4

Solve the equation.

2) f6

- 5 = 1 2)

A) {-36} B) {36} C) {24} D) {-24}

Solve the problem.3) Bert is 22.5 kilometers away from Brenda. Both begin to walk toward each other at the same time.

Bert walks at 2.5 kilometers per hour. They meet in 5 hours. How fast is Brenda walking?3)

A) 2.5 kilometers per hour B) 4 kilometers per hourC) 2 kilometers per hour D) 3 kilometers per hour

4) Jay drove 355 km at an average rate of 71 km/hr. How long did the trip take? 4)

A) 6 hr B) 5 hr C) 15

hr D) 4 hr

For the compound inequality, decide whether intersection or union should be used. Then give the solution set in bothinterval and graph forms.

5) 4x + 2 -6 or 4x -4 5)

A) Intersection;

B) Intersection; [-2, -1]

C) Union; (- , )

D) Union; (- , -2] [-1, )

1

Solve the inequality. Give the solution set in both interval and graph forms.6) 0 < 5x 20 6)

A) (0, 4] B) [0, 4)

C) [0, 4] D) (0, 4)

Solve the problem.7) Find the measures of the vertical angles.

(86 - 6n)° (16 + 8n)°

7)

A) 86°, 86° B) 5°, 5° C) 56°, 56° D) 16°, 16°

Solve the compound or absolute value inequality.8) y - 8 -15 8)

A) [9, 22] B) [7, 22] C) D) ( , )

Solve the equation.9) 5s - 8 = s + 3 9)

A) B) 114

C) -114

, - 56

D) 114

, 56

10) 6m + 5 = 6 10)

A) B) 15

, - 115

C) -16

, 116

D) 16

, - 116

Solve the equation or inequality.11) 5f - 3 = -6 11)

A) B) 95

, 35

C) -65

, - 35

D) -35

Solve the equation.

12) r + 65

=r + 8

712)

A) {2} B) {-1} C) {1} D) {-2}

2

Solve the problem.13) Find the measure of each angle.

(2x + 156)°

13)

A) 2 , 2 , 176 B) 6 , 6 , 168 C) 16 , 16 , 148 D) 8 , 8 , 164

Write an inequality statement involving the letter x that describes the given graph or interval notation.14) 14)

A) x > 4 B) x 4 C) x 4 D) x < 4

For the compound inequality, give the solution set in both interval and graph forms.15) 5x - 1 < 4 and x - 2 > -1 15)

A) (0, 1)

B)

C) {1}

D) [0, 1]

3

Solve the inequality and graph the solution set.16) x > 5 16)

A) (5, )

B) (-5, 5)

C) (- , -5) (5, )

D) (-5, )

Solve the investment problem.17) Roberto invested some money at 6%, and then invested $4000 more than twice this amount at 9%.

His total annual income from the two investments was $3480. How much was invested at 9%?17)

A) $12,000 B) $26,000 C) $30,000 D) $3000

Solve the given equation or inequality. If an equation is given, then write the solution set in set notation. If an inequalityis given, then write the solution set in interval notation.

18) |h + 5| - 3 -1 18)A) (-7,-3) B) [-7,-1] C) D) [-7,-3]

4

Find the x- and y-intercepts, and graph the equation.19) 4x - 6y = -24 19)

A) (0, -6), (4, 0) B) (0, -4), (-6, 0)

C) (0, 4), (6, 0) D) (0, 4), (-6, 0)

Find the slope of the line through the pair of points.20) (3, -2) and (-7, -4) 20)

A) 5 B) 15

C) -15

D) - 5

Decide whether the pair of lines is parallel, perpendicular, or neither.21) 8x + 6y = 2 and 4y = 3x + 13 21)

A) Parallel B) Perpendicular C) Neither

5

Find an equation of the line, and write it in (a) slope-intercept form if possible and (b) standard form.22) Through (-9, 9); m = -9 22)

A) (a) y = -9x - 72(b) 9x + y = 72

B) (a) y = 9x - 70(b) -9x + y = -70

C) (a) y = -9x + 79(b) 9x + y = 79

D) (a) y = -9x - 72(b) 9x + y = -72

Plot the point on the rectangular coordinate system provided. Write the corresponding letter as your answer.

23) (4, -5) 23)A) L B) F C) A D) K

Find an equation of the line, and write it in (a) slope-intercept form if possible and (b) standard form.

24) Through (-2, -6) and perpendicular to y = 13

x + 13 24)

A) (a) y = 13

x - 163

(b) x - 3y = 16

B) (a) y = 3x - 12(b) 3x - y = -12

C) (a) y =-13

x - 203

(b) x + 3y = -20

D) (a) y = -3x - 12(b) 3x + y = -12

6

Provide an appropriate response.25) Which one of the following has positive slope and negative y-coordinate for its y-intercept? 25)

A) B)

C) D)

Graph the compound inequality.26) 3x + 2y > 4 or x > 2 26)

7

A) B)

C) D)

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

Provide an appropriate response.27) What is the difference between the graphs of y < mx + b and y mx + b? 27)

8

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Graph the linear function. Give the domain and range.28) f(x) = 3x + 3 28)

A) Domain: (- , )Range: (- , )

B) Domain: (- , )Range: (- , )

Graph the equation by determining the missing values needed to plot the ordered pairs.29) 3x + 4y = 12; (0, ), ( , 0), (1, ), ( , 2) 29)

9

A) B)

C) D)

Name the quadrant, if any, in which the point is located.30) (-13, -7) 30)

A) III B) None C) IV D) II

Find the slope.

31) m = 13 - 37 - 5

31)

A) 8 B) 5 C) -5 D) 12

Find the slope and the y-intercept of the line.32) 6x - 9y = -9 32)

A) Slope 32

; y-intercept (0, -1) B) Slope 23

; y-intercept (0, 1)

C) Slope - 23

; y-intercept (0, -1) D) Slope - 32

; y-intercept (0, 1)

Find the equation in slope-intercept form of the line satisfying the conditions.33) m = 2, passes through (5, -7) 33)

A) y = 2x - 17 B) y = 2x + 16 C) y = 3x + 18 D) y = 2x - 15

10

The graph shows sales in thousands of dollars for 1989 and 1990. Use it to answer the question.

34) What month in 2006 had the highest sales? 34)A) Month 12 B) Month 5 C) Month 2 D) Month 3

Provide an appropriate response.35) Which one of the following does not define y as a function of x? 35)

A)x y

-1 62 6

-1 64 -2

B) y = 4x - 1

C) {(2, 6), (4, -2), (9, 8)} D) y = x + 4

Determine whether the relation defines y as a function of x. Give the domain.36) y = x3 36)

A) Function; domain: all whole numbersB) Not a function; domain: (- , )C) Function; domain: (- , )D) Not a function; domain: all whole numbers

11

Choose the inequality that best matches the given calculator graph.37) 37)

A) y -x + 1 B) y 2x + 2 C) y x - 1 D) y 2x + 2

Find the x- and y-intercepts. Then graph the equation.38) y = -2 38)

A) (-2, 0); none B) None; (0, -2)

12

C) None; (0, -2) D) (-2, 0); none

Find an equation of the line satisfying the conditions. Write the equation in slope-intercept form.39) Through (-6, 5); parallel to -7x + 5y = 57 39)

A) y = 75

x + 675

B) y = -57

x - 307

C) y = 57

x + 307

D) y = -75

x - 675

Provide an appropriate response.40) Which one of the following is the graph of a function? 40)

A) B)

C) D)

13

Give the domain and range of the relation shown in the following.41) 41)

A) Domain: (-1, ); range: (- , ) B) Domain: (- , ); range: (- , -1]C) Domain: (- , -1]; range: (- , ) D) Domain: [-1, ); range: (- , )

Solve the problem.42) Find f(a) when f(x) = -x2 + 4x - 4. 42)

A) -2a B) a2 + 4a - 4 C) -a2 + 4a D) -a2 + 4a - 4

Graph the linear function. What is its domain and range?

43) f(x) = 54

x - 1 43)

A) Domain: (- , ); range: (- , ) B) Domain: (- , ); range: (- , )

14

C) Domain: (- , ); range: (- , ) D) Domain: (- , ); range: (- , )

15

Answer KeyTestname: MATH 0312 TEST 1 REVIEW

1) A2) B3) C4) B5) D6) A7) C8) C9) D

10) D11) A12) B13) B14) D15) B16) C17) C18) D19) D20) B21) B22) D23) A24) D25) D26) A27) The boundary line of y < mx + b is a dashed line. The boundary line of y mx + b is a solid line.28) B29) A30) A31) B32) B33) A34) B35) A36) C37) B38) C39) A40) C41) D42) D43) C

16