Chapter 1 Review

1.1 Powers & Exponents

100

Write the product as a power.

8 x 8 x 8 x 8 x 8

8⁵

200

Find the value of the power.

6³

216

300

Determine whether the number is a perfect square. (show your work!)

122

No, it is not a perfect square.

11 x 11 = 121

400

A square painting measures 4 centimeters on each side. What is the area of the painting in square centimeters?

16 cm²

500

You are arranging chairs in the auditorium for the talent show. The number of rows is to be the same as the number of chairs per row. You will need a total of 225 chairs. How many chairs will be in each row?

15 chairs

1.2 Order of Operations

100

Evaluate the expression.

15 - 4 x 3

3

200

Evaluate the expression.

5 + (2 + 1)³

32

300

Evaluate the expression.

18 - 5(4.7 - 1.7)

3

400

A family buys 3 dinners at $9 each, 2 kid's meals at $4 each, and 4 desserts at $3 each. After using a $10 off coupon, how much do they owe? (write an expression to show your work)

(3 x 9) + (2 x 4) + (4 x 3) - 10 

They owe $37.

500

Evaluate the expression.

33 - 6(1 1/3 - 2⁄3)

29

1.3 Prime Factorization

100

List the factor pairs of the number.

14

1, 14; 2, 7

200

Write the prime factorization of the number.

50

5² x 2

300

Find the number represented by the prime factorization.

2² x 5² x 7

700

400

Write the prime factorization of the number.

243

3⁵ 

500

Find the greatest perfect square that is a factor of the number.

240

16

1.4 Greatest Common Factor

100

Use a Venn diagram to find the greatest common factor of the numbers.

10, 35

GCF = 5

200

Find the GCF of the numbers using lists of factors.

22, 121

22: 1, 2, 11, 22

121: 1, 11, 121

GCF = 11

300

Find the GCF of the numbers using prime factorizations.

42, 63

42 = 2 x 3 x 7

63 = 3 x 3 x 7

GCF = 21

400

Find the GCF of the numbers.

20, 36, 72

GCF = 4

500

Your baseball team has 120 ball caps, 180 miniature baseball key chains, and 240 glow in the dark bracelets to give away to children on opening day. The items will be split into identical sets with no items left over. What is the greatest number of children that will receive a set of items on opening day?

60 children

1.5 Least Common Multiple

100

Use a Venn diagram to find the least common multiple of the numbers.

4, 10

20

200

Find the LCM of the numbers using lists of multiples.

7, 8

7: 7, 14, 21, 28, 35, 42, 49, 56, 63

8: 8, 16, 24, 32, 40, 48, 56, 64

LCM: 56

300

Find the LCM of the numbers using prime factorizations.

26, 39

78

400

Find the LCM of the numbers.

3, 5, 7

105

500

You have piano lessons every 7 days and tuba lessons every 3 days. Today you have both lessons. In how many days will you have both lessons on the same day again?

21 days