Math 7 Unit 2 Review

Simplifying Equations

100

x+2x=18

3x=18

200

6x+50-6+2x

8x+44

300

5+m-3+4m-2

5m

400

-4+3a-2a+6

a+2

500

x+x+x+x+5x+3x=132+x

11x=132

Evaluating

100

Draw a scale. On the left side are 3 boxes with an x in each box, and 4 circles with a positive 1 on the inside of each. On the right side are 10 circles with a positive 1 on the inside of each. Write an equation and evaluate.

3x+4=10

x=2

200

Evaluate the expression

4.5x-21 when x= -4

-39

300

DAILY DOUBLE 

Evaluate.

1/3x+22 for x= -24

14

400

Evaluate.

1/4x-8 for x= -20

-13

500

Evaluate.

x/3 + 10 when x=-9

7

Graphing Solutions

100

Graph the following inequality

x≥4

BONUS POINTS: Name 3 numbers in the solution set.

Positive 4, closed circle, shaded to the right.

200

Graph the following inequality:

x≤-10

Negative 10, closed circle, shaded to the left.

300

TRIPLE JEOPARDY

Draw an example of complementary angles and supplementary angles.

Complementary angles form 90 degrees. Supplementary angles form 180 degrees.

400

Solve and graph the following inequality:

3x + x -9>27

Positive 9, open circle, shaded to the right.

500

Solve and graph the following inequality:

-1/2x+5<10

Negative 10, open circle, shaded to the right.

Equations and Inequalities

100

Solve the equation for X

2c-2=6

c=4

200

Find the solution to the equation:

x+2x-14=55

x=23

300

Evaluate the inequality

-6x≤24

x≥-4

400

Which equation is true when b= -12?

A. 2b-10=4

B. -2b+5=29

C. -3b-3=-39

B. -2b+5=29

500

Evaluate the inequality:

negative three times a number x plus six is more than twenty-seven.

x<-7

Word Problems

100

Mrs. Minton bought several bags of Halloween candy for $7.88 each and a stuffed pumpkin for $9.49. Mrs. Minton spent at most $60. Which inequality statement can be used to find c, the number of bags of candy that Mrs Minton bought?

A. 7.88 + 9.49c ≤ 60

B. (7.88 + 9.49)c ≤60

C. 7.88c + 9.49 ≤60

D. 7.88c + 9.49 ≥ 60

C. 7.88c + 9.49 ≤60

200

DAILY DOUBLE 

Paxon and Ellie have a total of 36 toy cars.

∙ Paxon has twice as many toy cars in his collection than Ellie does. 

∙ Ellie has x number of toy cars.

A) Write an equation that could be used to calculate X, the number of toy cars in Ellie’s collection.

B) How many tickets did each friend win?  Make sure you clearly label your answers.

A) 3x=36

B) Ellie won 12, Paxon won 24

300

An equation is shown below.

y = 4x + 7

Which situation is not represented by the following equation?

A. Teachers order lunch from Jimmy Johns. Each small sandwich is $4. The restaurant charges $7 for delivery.

B. Track athletes must run 4 miles every practice. They ran an extra 7 miles today. How much did they run in total?

C. Students get their picture taken for yearbook. There is a $7 fee and each picture is $4.

D. Workers buy lunch from the nearby Starbucks. Each Frappuccino is $7 and there is $4 in tax.

D. Workers buy lunch from the nearby Starbucks. Each Frappuccino is $7 and there is $4 in tax.

400

A rectangle has a perimeter of 36 feet. the length of the rectangle is x+2 feet. The width of the rectangle is 3x feet. 

Write an equation that could be used to calculate the value of x. Simplify by combining like terms, if possible.

8x=32

500

The measures of the angles of triangle XYZ are given.

• The measure of angle X is x+5
• The measure of angle Y is twice the measure of angle X
• The measure of angle Z is equal to the measure of angle Y

What is the value of x?

Angle X=40