Cumulative Review Unit 1-5

Intro to Algebra

100

Evaluate the expression when a= 4 and b=12 

36÷a÷b 

0.75

200

Evaluate the expression when m=14 and n=16 

(m+n)÷ 3

10

300

Find the solution or solutions for the given replacement set. 

3k+1=13; {4,5,6}

4

400

Write a variable expression for the word phrase.

Twenty added to the product of a number and ten.

20+10n

500

Solve. The ticket for the theater cost $7.50 each. Miles bought 4 for them and gave the cashier a fifty-dollar bill. What was the cost of the tickers? 

$30 

The Decimal System

100

Write as a single power of the given base. 

b⁸ x b²

b¹⁰

200

Evaluate the expression if m=6, n=4, p=8.

(2n)³

512

300

What value of the variable makes the statement true?

2.4 + (r + 9.5)= 2.4 + (9.5 + 7.8) 

r=7.8

400

Simplify the expression.

[6²÷ (8+1)]+5

9

500

Simplify the expression. 

5p(p+4)+3p

5p²+23p

Positive and Negative Numbers

100

Express as an integer 

|12|

12

200

What does the absolute value mean? 

the DISTANCE away from zero

300

Find the sum.

-8+36

28

400

Find the difference.

-4-20

-24

500

Write the expression without exponents.

8^-9 x 8⁷

8^-2

^1/64

Rational Numbers

100

solve

6 x 1/6 = ?

1

200

Write as a mixed fraction. 

-28/5

-5 3/5

300

Solve

-1/6 + 3/14

1/21

400

Multiply 

3 1/8 x 2 3/5

8 1/8

500

Divide 

2/3 ÷ 7/9

6/7

Equations and Inequalities

100

Solve for the variable 

m - 21 = -16

m = 5

200

Solve for the variable. 

-3b + 4 = -19

7 2/3 or 23/3

300

Solve for the variable. 

-3y ≤ 42

y ≥ -14

400

Solve for the variable. 

1/4d - 2 >  18

d > 80

500

Which of the equations represents the problem? 

In a survey for orange juice, one fifth of the people questioned were under 20 years old. If 45 people were under 20, how many people were questioned? 

a. 1/5x=20 b. 5x=45 c. 1/5x=45 d. 20x=45

c