Foundations of Algebra Review

Absolute Value

100

Find the absolute value of:

|-10|

Absolute value is the distance from zero.

10

https://www.khanacademy.org/math/arithmetic/arith-review-negative-numbers/arith-review-abs-value/v/absolute-value-of-integers

200

What is greater:

|-6| or |3|

The absolute value of a number is the number's distance from zero.

|-6|

300

Place the following in order from smallest number, to biggest number:

|-20|, 18, |12|, |-14|, 8

The absolute value of a number is the number's distance from zero.

8, |12|, |-14|, 18, |-20|

https://www.khanacademy.org/math/arithmetic/arith-review-negative-numbers/arith-review-abs-value/v/absolute-value-of-integers

400

What is:

|-7| + |-2|

The absolute value of a number is the number's distance from zero.

9

500

2 x |-5| + |4| - 14

Remember to use your order of operations.

0

Exponents

100

When you see the following expression, what is the big number called and what is the little number on top of it called?

2⁴

Big number - base number

little number - exponent or power

https://www.khanacademy.org/math/pre-algebra/pre-algebra-exponents-radicals/pre-algebra-exponents/v/introduction-to-exponents

200

How can you rewrite 9² in expanded form?

9 x 9

300

How can you rewrite the following in exponential form?

7 x 7 x 7 x 7 x 7 

7⁵

400

What is the value of:

8⁴

4096

https://www.khanacademy.org/math/pre-algebra/pre-algebra-exponents-radicals/pre-algebra-exponents/v/introduction-to-exponents

500

What is the value of:

2³ + 3² - 4²

3

https://www.khanacademy.org/math/pre-algebra/pre-algebra-exponents-radicals/pre-algebra-exponents/v/introduction-to-exponents

Order of Operations

100

Simplify the following expression:

62

https://www.khanacademy.org/math/pre-algebra/pre-algebra-arith-prop/pre-algebra-order-of-operations/v/introduction-to-order-of-operations

200

Simplify the following expression:

5

https://www.khanacademy.org/math/pre-algebra/pre-algebra-arith-prop/pre-algebra-order-of-operations/v/introduction-to-order-of-operations

300

3 + 4² * (3 + 2)

83

400

45

500

12

Adding Integers

100

-4 + -5

 -9

https://www.khanacademy.org/math/arithmetic/arith-review-negative-numbers/arith-review-add-negatives-intro/v/adding-negative-numbers

200

14 + -12

2

https://www.khanacademy.org/math/arithmetic/arith-review-negative-numbers/arith-review-add-negatives-intro/v/adding-negative-numbers

300

-10 + 15

5

https://www.khanacademy.org/math/arithmetic/arith-review-negative-numbers/arith-review-add-negatives-intro/v/adding-negative-numbers

400

-2 + -3 + 5

0

https://www.khanacademy.org/math/arithmetic/arith-review-negative-numbers/arith-review-add-negatives-intro/v/adding-negative-numbers

500

6 + (-2 + -5)

-1

Distributive Property

100

8(4+2) = ?

48

200

5(x - 3)

5x - 15

300

7 + 9(2x - 3)

18x - 20

400

-3(-x - 10)

3x + 30

500

x + 10 - 6(x - 3x) + 4

13x + 14

Fractions, %, and decimals

100

which is largest, 25%, 0.027, or 2/5?

25%

200

Which is smallest, .23, 22%, or 1/5?

1/5

300

what is 236% written as a decimal?

2.36

400

what is 4/5 written as a percent?

80%

500

What is 0.34 written as a fraction?

34/100 or 17/50

Rate and Ratio

100

Balia knows that 6 cups of rice will feed 15 people.  How many cups of rice are needed to feed 135 people?

54 cups

200

A train in Japan can travel 813.5 miles in 5 hrs.  Find the unit rate in miles per hour

162.7 mi / hr

300

Arrange in fasted to slowest:

Abel reads 50 pages in 45 minutes; Brian reads 90 pages in 75 minutes; Charlie reads 175 pages in 2 hours

Charlie, Brian, Abel

400

An ice skater covered 1500 meters in 106 seconds.  What is her unit rate in meters per second

14.15 m per second

500

Arrange from most expensive to least expensive if they buy lunch 5 days per week:

Alice spends $3 per day; Betty spends $25 every 2 weeks; Cindy spends $75 per month (assume 4 weeks in a month)

Cindy, Alice, Betty