Unit 7 Quiz Review

Equations

100

In the following equation, what is my first step?

3(x+2) = 21

Use distributive property to make 

3(x+2) = 21

3x+6 = 21

200

Solve the following equation:

-4x + 20 = 68

x = -12

300

The first step is already done. Solve the equation for the value of x.

3/4 (x + 3) = 9

3/4 x + 9/4 = 9

x = 24

400

Solve the following equation:

16 - 2t = 5t + 9

t = 1

500

Solve the following equation for the value of g.

12g = 12 (2/3 g - 1) + 11

g = -1/4

Inequalities

100

Solve the following inequality:

-5x > 10

x < -2

200

Solve the following inequality and graph the solution.

x/2 - 4 < 6

x < 20

Graph: Open circle at 20 and everything going to the left.

300

Solve the following inequality and graph.

6 - 2y ≥ 3 + 3

y ≤ 0

Graph: Closed circle at 0 and everything going to the left.

400

Solve the following inequality.

0.2y - 0.3 > 1.5

y > 9

500

Solve the following inequality.

-2 (22 + b) > -60

b < 8

Word Problem

100

Translate the following phrase:

6 more than four times the number is less than or equal to 20

4x + 6 ≤ 20

200

15 is 4 less than twice the number. Write an equation to represent this statement. 

15 = 2x -4

300

Mr. Smith's family goes to the OC Fair. Mr. Smith has exactly $62 to spend. They bought 5 tickets for all of their family members and spent $7 for a turkey leg. Write an inequality that represents the situation, then solve for the cost of each ticket. 

x --> cost per one ticket

Thus, 7 + 5x = 62

x = $11

400

Selena has $5 in her pocket. She wants to buy one pencil and some erasers. Each pencil costs $1 and each eraser costs $0.25. Write an inequality that represents the situation and solve to find out how many erasers she can purchase?

1 + 0.25e ≤ 5

e ≤ 16; She can purchase 16 erasers or less.

500

Orchard Hills math department has extra budget to spend on their classrooms. They want to buy laptops and iPads, but want to spend no more than $75,000 altogether. If each laptop costs $550 and each iPad costs $499, write an inequality that represents the situation.

x = number of laptops

y = number of iPads

550x + 499y ≤ 75,000

Angles

100

If the sum of two angles add up to 180 degrees, then they are ______________ angles.

Supplementary

200

What is the definition of complementary angles?

When the sum of 2 angles add up to 90 degrees, we called them complementary angles.

300

If the angles are complementary, and one of the measurements is 43 degrees. What is the measurement of the other angle?

47 degrees

400

True or false? Justify your reasoning.

-20 degrees and 200 degrees are supplementary. 

False because although the definition of supplementary angles states that if two angles have a sum of 180 they are supplementary, we can never have an angle that is negative.

500

Angle A and Angle B are supplementary angles. Angle A is (2x -15) degrees and Angle B is (3x - 5) degrees. What is the value of x?

x = 40

(2x - 15) + (3x - 5) = 180

5x - 20 = 180

5x = 200

x = 40

Random

100

Look at Mr. Ro's work. What was his first step and why did he do that?

7 * (x/7) = -4 * 7

x = -28

He multiplied 7 on both sides because x/7 means x divided by 7. Thus, the inverse operation of division is multiplication.

200

Solve the following equation.

3m + 4 = 3m - 4

No solution 

300

DOUBLE OR NOTHING!!

Solve the following equation.

2(x - 3) = 4(x + 2) - 2

x = -6

400

Solve the following equation, then determine whether it’s “One solution,” “No solution,” or “Infinite solutions”

−4(k + 1) = −2 − (4k + 2)

Infinite Solutions because..

-4k -4 = -2 -4k -2

-4k -4 = -4k - 4

When they have the same expressions on both sides, we know that the equation will always be true no matter what the value of x is. 

500

Solve the following equation and find the value of x.

10 - (7 + 4x) = x + 2

x = 1/5