Dimensions Unit 1: Exam Review

Exponents

100

Evaluate 7³

7³ = 343

200

Evaluate the following expression:

19² + 7

19² = 368

300

Evaluate the following:

6² x 2²

6²x 2² = 144

400

Evaluate the following expression:

4² x 12³ x 1²

4² x 12³ x 1² = 27,648

500

Evaluate the expression. 

14³ x 36²

14³ x 36² =3,556,224

Order of Operations

100

Evaluate the expression.

4 x 3 - 2 x 2

4 x 3 - 2 x 2 = 8

200

Evaluate the expression.

2³ x 11 - 4

2³ x 11 - 4 = 84

300

75/3 - 5² + 24

75/3 - 5² + 24 = 24

400

(2 + 4)² x (2 + 9) - 3

(2 + 4)² x (2 + 9) - 3 = 393

500

5 x 8 ÷ (15 - 5) + 8² - 3²

5 x 8 ÷ (15 - 5) + 8² - 3² = 59

Factors and Multiples

100

Find the factors of 30.

Factors of 30: 1,2,3,5,6,10,15, and 30.

200

Find the first 5 multiples of 12.

First 5 multiples of 12:

12, 24, 36, 48, 60

300

Find the greatest common factor of 36 and 48.

Factors of 36: 1,2,3,4,6,9,12,18,36

Factors of 24: 1,2,3,4,6,8,12,24

Greatest common factor: 12

400

Find the least common multiple of 8 and 26. 

Least common multiple of 8 and 26: 104

500

Find the largest four-digit number that is a common multiple of 5 and 8. 

Find a multiple of 40 (because 5 x 8 = 40)

10,000 - 40 = 9,960

Properties and mental math- multiplication

100

Give an example of the Commutative Property of Multiplication. 

A x B = B x A 

(answers may vary)

200

Give an example of the Associative Property of Multiplication. 

(A x B) x C = (C x B) x A

(answers may vary)

300

Fill in the blank. Then, solve the equation. 

8 x 28 = 8 x ____ + 8 x 8 =

8 x 24 = 8 x 20   + 8 x 4 = 160 + 32=192

400

Use the distributive property to solve the following expression. 

68 x 7

68 x 7 = 60 x 7 + 8 x 7 = 420 + 56 = 476

500

Use the distributive property to solve the following expression.

8 x 326

8 x 323 = 8 x 300 + 8 x 20 + 8 x 6 =

2400 + 160 + 24 = 2,584