Algebraic Expressions Review (Topic 3)

Vocabulary

100

What is the variable in the following algebraic expression?

3-4w

w

200

What is the constant in the following algebraic expression?

5g+19

19

300

What is the coefficient in the following algebraic expression?

8+7y

7

400

How many terms are in the following algebraic expression?

3x-4y+18-2z

4 terms

500

Which of the following algebraic expressions will have ONLY 2 terms AFTER being simplified?

A. 3x-2y+18-5

B. 21-3x+17-4x

C. 2a+3b-4-5a

B

Distributing & Factoring

100

Create an equivalent expression:

2 ( x + 5)

2x + 10

200

Create an equivalent expression:

3(2x - 6)

6x - 18

300

Create an equivalent expression::

5(4n-3)

20n-15

400

Factor using the GCF:

36x + 21y + 18 

3(12x + 7y + 6)

500

Factor using the GCF:

150x + 60y + 45

15(10x + 4y + 3)

Writing Expressions

100

10 more than a number, n

n+10

200

3 less than a number, n

n-3

300

the sum 7 and a number n, decreased by 3

7 + n - 3

400

8 times the sum of 6 and a number

8(6+n)

500

the product of 9 and a number squared into 6 

6 ÷ 9n² 

Mixed Review

100

Evaluate:  3⁴

81

200

Find the GCF:     60 and 48

12

300

Evaluate the expression: 

 x² + 4y - 12

x = 8   and y = 1/2

54

400

A cell phone company charges a one time fee of $35 for a new service. The cost for the phone plan is $50 per month. Write an expression to show the total cost for activation and monthly service for m months.

$35 + $50m

500

A small square has a side length of 4 cm. A larger square has a side length of 10 cm. What is the sum of the areas of both squares?

116 cm²

Simplifying

100

Simplify:

 2x+3+5x+6

 

7x+9

200

Simplify:

5c - 4c + c + 6b + 3b

9b + 2c 

300

Simplify:

5x + 2y - 3x + y - 5 + 8x

10x+3y-5

400

Are the expressions equivalent? Explain.

2(6x - 8) = 12x - 16

Yes, using the distributive property, the first expression equals 12x - 16.

500

Are the expressions equivalent? Explain

5(2a + 3b) = 7a + 2b + 3a + b

No, it should be a total of 15 b