Unit 7 Test Review

Evaluate Equations & Inequalities

100

Evaluate the expression when x=3 and y=4

2x + y

10

200

Which inequality is true when x=4?

A. x + 3 ≥ 15

B. x – 3 > 15

C. 11 + x < 15

D. 11 – x ≤ 15

D.

300

Evaluate the expression when m = 21 and s = 4

m + (-32) ÷ s²

19

400

Evaluate when x = -3

7(6x + 5 - x)

-70

500

If x = -8, then which inequality is true?

A. 2x > 16 

B. x +5 ≤ 2

C. -2x < 5 

D. x - 2 ≥ 16

B.

Solve Equations

100

3 + 3 x 8 = 7 + m

m=20

200

 17x=68

x=4

300

b/14 = -7

b = -98

400

3.6x = 54

x=15

500

Jared knows the length of his garden is 6 feet. He knows the area of the garden is 90 square feet. What is the width of Jared’s garden? (A=lw) Write the equation and solve for the variable.

Equation: 90=6x

x=15 feet

OoO with Rational Numbers

100

12(-2) + 16 - 25

-33

200

(28 - 4²) ÷ (4 - 16)

-1

300

-12² ÷ 4 - 3 x 2⁴

-84

400

3/4 - 1/6 ÷ (4/5)²

47/96

500

(7.1)² + 5.7 x (-3.7)

29.32

Inequalities

100

Solve and graph.

x + 7 > 6

x > -1

Graph: open circle at -1 shaded to the right

200

Solve and graph.

6x<21

x < 3.5

Graph: open circle at 3.5 shaded left

300

Solve and graph.

a/(-3) ≤ -2

a ≥ 6

Graph: closed circle at 6 shaded to the right

400

Solve and graph.

13w ≤ -52

w ≤ -4

Graph: closed circle at -4 shaded left

500

Find the possible length of the sides of a square with a perimeter of at most 36 inches. Write the inequality, solve, and graph.

4x ≤ 36

x ≤ 9 inches

Graph: closed circle at 9 shaded left

Surprise :)

100

Combine like terms to simplify the expression.

 12m + n - 3m - 4n

9m - 3n

200

Use the distributive property to simplify the expression.
 18(x - 3)

18x - 54

300

Use distributive property and combine like terms.
 8x + 6(4x -2) - 8x

24x - 12

400

The sum of the measures of two angles is 109.8 degrees. One angle has a measure of 63 degrees. What is the measure of the second angle? Write an equation and solve.

x + 63 = 109.8

x = 46.8 degrees

500

Find the perimeter of a rectangle with a length of 3x + 9 and a width of 5x + 4y.

16x + 8y + 18 square units