review equations and inequalities - deer park high · pdf filereview equations and...
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REVIEW Equations and Inequalities
Equations Equations Real World Inequalities Inequalities
Real World Mystery Box
1.
y = 120
6. x = # of bus passes 7 + 1.50x = 29.50
11.
x ≥ -5
16.
x = height x ≤ 35
21. S -Simplify A - Add/Subtract M- Multiply/Divide
2.
x = 96
7. x = width
2(x) + 2(9x–10) = 140
12.
x < 2
17.
x = oven temp. x ≥ 450
22.
Equation
3.
y = -3
8. DAILY DOUBLE x = # of minutes 32 + 0.75x = 47
20 minutes
13.
x < -2
18. x = # of rides
8 + 1.50x ≤ 18 x ≤ 6.666666 6 rides or less
23.
Inequality
4.
No Solution
9. x = Penny’s Age 2x – 4 + x = 44
Penny is 16 yrs old
14.
x ≤ -13
19. x = amount of sales 1500 + .15x ≥ 2430
x ≥ 6200 $6,200 or more
24.
NS means 2 ≠ 67 IS means 2 = 2
5.
y = 3
10. x = # of months
56 + 12 x = 80 + 8x 6 months, 128 stamps
15.
x ≥ -25
20. DAILY DOUBLE area > perimeter
7(x+2) > 2(7)+2(x+2)
x > 4/5
25.
Infinite Solutions
#6 Equations Real World - $100
ANSWER
Tim bought a student discount card for the bus. The card cost $7 and allows him to buy daily bus passes for $1.50. After one month, Tim spent $29.50. Write an equation to represent the number of bus passes that Tim bought.
#7 Equations Real World - $200
ANSWER
The length of a rectangular field is 10 meters less than 9 times the width. The perimeter is 140 meters. Write an equation to could be used to find the length and width of the rectangle.
#8 Equations Real World - $300
ANSWER
For her cellular phone service, Vera pays $32 a month, plus $0.75 for each minute over the allowed minutes in her plan. Vera received a bill for $47 last month. For how many minutes did she use her phone beyond the allowed minutes?
**Write and solve an equation.
#9 Equations Real World - $400
ANSWER
Sheldon is four years younger than twice Penny’s age. Together they are 44 years old. How old is Penny? **Write and solve an equation.
#10 Equations Real World - $500
ANSWER
Sally and her brother both collect Stamps. Sally has 56 stamps, and her brother has 80 stamps. Both have recently joined different stamp-collecting clubs. Sally’s club will send her 12 new stamps per month, and her brother’s club will send him 8 new stamps per month. a. After how many months will Sally and her
brother have the same number of stamps? b. How many stamps will that be?
c. **Write and solve an equation.
#16 Inequalities Real World - $100
ANSWER
Define a variable and write an inequality.
All kid rides at Disney World allow kids 35 inches and under.
#17 Inequalities Real World - $200
ANSWER
Define a variable and write an inequality.
The oven in the kitchen is broken, so you will have to set the oven to at least 450°.
#18 Inequalities Real World - $300
ANSWER
A county fair charges a gate admission of $8.00 per person. It costs $1.50 for a person to ride one of the fair rides. If you arrive at the fair with $18.00, what is the greatest amount of rides that you can go on?
**Set up an inequality and solve.
#19 Inequalities Real World - $400
ANSWER
Marcus has accepted a job selling cell phones. He will be paid $1500 plus 15% of his sales each month. He needs to earn at least $2430 to pay his bills. For what amount of sales will Marcus be able to pay his bills? **Set up an inequality and solve.
#20 Inequalities Real World - $500
ANSWER
For what values of x is the area of the rectangle greater than the perimeter?
#22 Mystery Box - $200
ANSWER
A(n) _____________ is a mathematical statement that two quantities are equal.
#23 Mystery Box - $300
ANSWER
A(n) _____________ is a mathematical statement that two quantities are not equal.
#24 Mystery Box - $400
ANSWER
What is the difference between an answer of no solution and an answer of infinite solutions?