Chapter 1 (Pre-Alg) Test Review (Actual)

Multi-Step Equations

100

7a + 16 - 3a - 7 = -11

a = -5

200

3 + 2(x + 2) = 20

x = 7

300

1/5x+5 -2/5x = 1/5

x = 24

400

3/4x+14 - 1/4x = 3

 

x = -22

500

2/5x - 6 +4/5x = 12

x = 15 

Multi-Step Equations (Variables on both sides)

100

9y - 21 = 3(y + 7) + 6y

No solution

200

3(x + 1) - 5 = 3x - 2

Infinite Solutions (Identity)

300

Solve for x:

3(x + 4) = 2(x - 1)

x = -14

400

4(2g - 1)= 5(g - 2)

g = -2

500

3/8 - 1/4x = 1/2x - 3/4

x = 1.5 or 1 1/2

Literal Equations

100

Solve for the bold variable:

y = gm

g = y/m

200

Solve for the bold variable:

y = 3x - 4

x = (y+4)/3

300

Solve for the bold variable:

4x + 3y = 7

y = (7-4x)/3

400

Solve for the bold variable:

A = 3x + 5y + 7

y = (A - 3x - 7)/5

500

Solve for the bold variable (b): 

A=(bh)/2

b = (2A)/h

Word Problems

100

Set up an equation and solve:

Allie bought dinner for $17.21. This is $5.15 more than she spent on lunch. How much did she spend on lunch?

x + 5.15 = 17.21

x = $12.06

200

Set up an equation and solve. Show your work:

Jake mowed the lawn for 28 minutes. This is twice as long as he spent cleaning his room. How long did he spend cleaning his room?

2x = 28

x = 14 minutes

300

Set up an equation and solve:

Your grade is currently 85.3% in science class. This is 7.1% less than your grade last month. What was your grade last month?

x - 7.1 = 85.3

x = 92.4%

400

Set up an equation and solve:

Bethany wants to buy some CDs that each cost $12, and a DVD that costs $23. She has $71. Write and solve an equation to find how many CDs she can buy.

12x + 23 = 71

x = 4 CDs

500

Write an equation and solve:

You buy a hot chocolate and 5 candy bars (each costing the same price) at the football game. The cost of the hot chocolate was $2.25. Your total bill before tax was $9.75. What was the cost of each candy bar?

5x + 2.25 = 9.75

x = $1.50