Pre-Algebra Review

Integers

100

Subtract 7 from -3. 

-3 - 7 = -10

200

Subtract -2 from 8.

8 - (-2) = 10

300

Multiply -7(3)

-7(3) = -21

400

What is the product of -5 and -25?

-5(-25) = 125

500

Find the quotient of -100 and -5

-100/-5 = 500

Expressions

100

Evaluate x + 6 if x = 8

8 + 6 = 14

200

Evaluate 2a - b if a = 8 and b = -6

2(8) - (-6) = 22

300

Simplify 4 - 8 (7 - 3) - (- 1)

4 - 8 (7 - 3) - (- 1)

4 - 8 (4) + 1

4 - 32 + 1

-27

400

Simplify 6x + 2 - 3x + 7

6x + 2 - 3x + 7

3x + 9

500

2 times a number plus four is the same amount as three times a number minus seven. What is the number?

Equation: 2x + 4 = 3x - 7

Solution: x = 11

Fractions

100

What is 39/5 written as a mixed number?

39/5 = 7 4/5

200

What is 4 2/9 written as an improper fraction?

9(4) = 36 + 2 = 38/9

300

Write 42/66 in simplest form.

42/66 = 7/11

400

Multiply 1/3 (7/8) 

1/3 (7/8) = 7/24

500

What is 2/9 + 7/15 - 1/3

2/9 + 7/15 - 1/3 = 16/45

Decimals

100

What is 1/8 written as a decimal? 

1/8 = 0.125

200

Multiply 7.68 (10)

7.68 (10) = 76.8

300

85 - 17.31

85 - 17.31 = 67.69

400

Divide 2.5 by 0.05

2.5/ .05 = 50

500

True or False. 

470 is the solution to x/100 = 4.75 

4.75(100) = 475

False

Ratios & Proportions

100

A class has 1 teacher for every 10 students. Write this as a ratio in 3 different ways

1 to 10

1/10

1:10

200

Is 4.1/7 = 2.9/5 a true proportion? 

4.1( 5) = 20.5 

2.9(7) = 20.3 

20.5 does not equal 20.3

False

300

A store charges $3.36 for 16 oz jar of picante sauce. What is the unit price in dollars per ounce. 

3.36/16 = 0.21

$0.21 per oz

400

A student doing math homework for their pre-algebra class can complete 7 problems in about 6 minutes. At this rate, how many problems can be completed in 30 minutes? 

7/6 = x/30 

6x = 7(30)

6x = 210

x = 35

About 35 problems

500

Using the Pythagorean Theorem, find the length of the hypotenuse of a triangle with the legs a=3 and b=9

(Hint: a² + b² = c²)

a² + b² = c²
3² + 9² = c²
9 + 81 = c²
89 = c²

c = 9.434