Grade 6 Chapter 1 Review

Exponents & Powers

100

Fill in the blank: Every number to the power of 0 = 

1

200

Write 7⁴ in expanded form

7x7x7x7

300

Write 4x4x4 + 5x5 in exponential form

4³ + 5²

400

What is the value of 3² + 4¹

13

500

Which of the following are equivalent to 36?

a. 6²

b. 36¹

c. 1³⁶

d. 18²

a,b

Factors and Multiples

100

How many factors do prime numbers have?

2 (itself and 1)

200

List the first 5 multiples of 6

6, 12, 18, 24, 30

300

List the factors of 34

1, 2, 17, 34

400

What is the prime factorization of 48?

2x2x2x2x3 or 2⁴x3

500

What number has the prime factorization of 2x3²x5?

90

GCF & LCM

100

When using the cake method, where do I find the GCF?

On the left side of the cake (if more than one number, multiply together)

200

Find the GCF of 18 and 54

18

300

Find the LCM of 18 and 24

72

400

Pencils come in packages of 10. Erasers come in packages of 12. Phillip wants to purchase the smallest number of pencils and erasers so that he will have exactly 1 eraser per pencil. How many packages of pencils and erasers should Phillip buy?

6 packs of pencils and 5 packs of erasers

500

Kiara baked 30 oatmeal cookies and 48 chocolate chip cookies. She wants to divide the cookies into identical containers so that each container has the same number of each kind of cookie. If she wants each container to have the greatest number of cookies possible, how many plastic containers does she need?

6 containers

Order of Operations

100

Draw the order of operations pyramid

-Parenthesis

-Exponents

-Multiplication and Division (left to right)

-Addition and Subtraction (left to right)

200

Evaluate the expression: 4(3+5) - 3(6-2)

20

300

Evaluate the expression: 4(3-1)³+7(6)-5²

49

400

Evaluate the expression: 2²(3+5)/4

8

500

Find the error in this problem. Then, solve it correctly.

19-6+12

19-18

1

19-6+12

13+12

25

Equivalent Expressions

100

Use the distributive property to solve: 

7 x 84

Show all steps!

7(80 + 4)

7(80) + 7(4)

560 + 28

588

200

Use the distributive property to solve:

6x79

Show all Steps!

6(70+9)

6(70) + 6(9)

420 + 54

474

300

Which expressions are equivalent:

a. 2² x 5

b. (42/7 + 21) -7

c. 8 + 3³ -12

d. 6(3) - 843⁰ + 3

a,b,d

400

Which equivalent expressions are true:

a. 2⁴ = 2x2x2x2

b. 5⁷ = 7x7x7x7x7

c. 6³ = 18

d. 17⁰=0

e. 10¹=10

a,e

500

Write an expression equivalent to 10 that uses all four operations

Answers will vary