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

#1 Equations - $100

ANSWER

y – 10 = 30 3

#2 Equations - $200

ANSWER

6 y + 12 = 84 8

#3 Equations - $300

ANSWER

3(y + 2) + 2(y – 3) = -15

#4 Equations - $400

ANSWER

3(3x - 1) + 5 = 9(x + 1)

#5 Equations - $500

ANSWER

5 – (y + 3) = - 1 + 2(y – 3)

#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.

#11 Inequalities - $100

ANSWER

Solve and Graph 4 – x ≥ - 3(x + 2)

#12 Inequalities - $200

ANSWER

Solve and Graph 4x < 2(6 – x )

#13 Inequalities - $300

ANSWER

Solve and Graph -2(x – 4) < -7x - 2

#14 Inequalities - $400

ANSWER

Solve and Graph 2(x – 7) – 4x ≥ 12

#15 Inequalities - $500

ANSWER

Solve and Graph -2x ≤ 10 5

#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?

#21 Mystery Box - $100

ANSWER

What are the steps for solving any equation or inequality?

#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?

#25 Mystery Box - $500

ANSWER

6 – 2x – 1 = 4x + 8 – 6x – 3