Unit A Expressions and Equations Review

Writing & Evaluating Expressions

100

Evaluate 2b + c   if    b = 8 and c = 5

What is 21

200

Rewrite 7 x 7 x 7 x 7 using exponents.  

Find the value of the expression.

What is 7⁴

What is 2401

300

The length of a rectangle is three times the width. If the width is represented by x, write an algebraic expression that describes the length.

What is 3x

400

Jennifer is taking a taxi to the airport. The taxi charges and initial fee of $2 and then $3 per mile. 

Write an algebraic expression for the cost of the taxi ride of m miles. 

Evaluate the expression to find how much a 9-mile taxi ride would cost Jennifer.

2 + 3m 

 $29

500

You are buying balloons for a party. A small balloon costs $2. A large balloon costs $4. 

Write an algebraic expression for the cost of x small balloons and y large balloons. 

Find the total cost for 6 small balloons and 6 large balloons

What is 

2x + 4y 

$46

Mixed Review

100

a. List the first 5 multiples of 5 and 3 b. Find the least common multiple (LCM) of 5 and 3

What is a. 5: 5, 10, 15, 20, 25 3: 3 6 9 12 15 b. 15

200

Evaluate the expression 7(0 x 5)

What is 0

300

An algebraic expression for "20 more than b"

What is b + 20

400

3 x 3 x 3 written in exponential form 

The value of the expression

What is 3³ 

What is 27

500

Write an expression for the following:

"Three less than the product of six and 2"

6(2) - 3

12 - 3 = 9

GEMS

100

24 - (5 x 3) / 3 - 12

7

200

3² + (32/4) x 5

49

300

29 + 4³ - (5 x 6)

63

400

5² + 2⁴ x 2

78

500

2 x 3 + (3³/9) + (2² + 3)

16

GCF (Greatest Common Factor)

100

First, list the factors of 75 and 20 Next, find the GCF (Greatest Common Factor)

What are: 75: 1x75, 3x25, 5x15, Factors: 1, 3, 5, 15, 25, 75 20: 1x20, 2x10, 4x5 Factors: 1, 2, 4, 5, 10, 20 Greatest (Largest) Factor they have in common: 5

200

What is the GCF of 18 and 24

6

300

Use prime factorization to find the GCF (Greatest Common Factor) of 40 and 100 

What is 20

400

The GCF of 9 and 27

What is 9

500

Students in an art class cut colored paper into equal sized squares. The paper measures 14cm by 98cm. Find the greatest possible side length for each square piece?

What is 14?

LCM (Least Common Multiple)

100

List the first 5 multiples of 6 and 8 

Least common multiple of 6 and 8

What are 6, 12, 18, 24, 30 8, 16, 24, 32, 40 

What is 24

200

Find the least common multiple of 4 and 16

What is 16

300

Two discs rotate at different speeds. The smaller disc rotates once every 6 minutes. The larger disc takes 15 minutes to rotate. Each disc has an arrow engraved on it. If they both start at the same time, how long will it take for the arrows to align? (hint - think LCM)

What is 30 minutes?

400

A group of people are waiting in line to get into the movies. Every 10th person will receive a free movie ticket. Every 6th person will receive a gift card for $30. Which person is the first to win both prizes?

What is the 30th person in line?

500

Two wheels rotate at different speeds. Both wheels have reflectors attached to the spokes. The smaller wheel rotates once every 14 minutes. The larger wheel rotates every every 21 minutes. How long before the reflectors match up?

What is 42 minutes