Pre-Algebra Midterm Review

Chapters 1 and 2

100

-17 + (-12)

-29 

200

9-15

-6 

300

12-(-24)

36

400

8(a + b)

8a + 8b 

500

(5-b)/3c when b = 11 and c = 1

-2 

Chapter 3

100

A number increased by 53 is 96

53 + n = 96

n = 43

200

6z - 5 = 19

z = 4

300

(x +7)/9 = 6

x = 47

400

Write an equation and solve the following problem:

Joe mows a lawn and does a one time clean-up for Mr. Rogers. He is paid $60, $30 of which is his regular fee for mowing lawns. How many more times will he have to mow the lawn to earn $300 for a new Switch?

30x + 60 = 300

x = 8

500

-4x > 28

x < -7

Chapter 4

100

Write the prime factorization of 63

3² x 7

200

Find the LCM of 15 and 25

75

300

Find the GCF of 90 and 104

2

400

Find the GCF of 9c³d⁵. 12c⁴d⁴

3c³d⁴

500

Write the explicit formula for the following sequence:

-3, 7, 17, 27, 37

a_n = -3 + (n-1)10

Chapter 5

100

Rename in lowest terms

30/42

5/7

200

Evaluate

15/36 = 3/8

False

120 does not equal 108

300

Convert 3.25 into a fraction

13/4

400

A department store has ten departments, each with a manager. There are one hundred employees total. 

What is the ratio of managers to total employees?

1:10

500

Solve x/8 = 9/50

x = 1.44

Chapter 6

100

8 7/18 + 3 7/12

11 35/36

200

-7/8 x 10/21 x -9/25

3/20

300

8/9 divided by 12

2/27

400

3.2(x - 4.5) + 0.23(11x + 12)

5.73x -11.64

500

7/8(x + 4/21) = 5/6

x = 16/21