Algebraic Expressions Review

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

How many coefficients are in the following algebraic expression? What are the coefficients?

8+7y+z

2 coefficients - 7 and 1 

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

100

Simplify the following expression:

2 ( x + 5)

2x + 10

200

Simplify the given algebraic expression by combining like terms:

-3 ( 2x - 6)

-6x +18

300

Simplify the given algebraic expression by applying the distributive property:

5(4n-3)

20n-15

400

Simplify the given algebraic expression:

1+7(1-3x)

8-21x

500

Simplify the given algebraic expression:

2x+5y-3(x-y)

-x + 8y

Verbal to Algebraic

100

10 more than a number 

n+10

200

3 less than a number 

n-3

300

the quotient of a number and 7

n/7

400

8 times the sum of 6 and a number

8(6+n)

500

the product of 9 and a number, split into 3 equal groups

9n/3

Factoring expressions

100

What operation is done when distributing a number?

multiplication

200

Factor the expression?

12 + 42

6(2 + 7)

300

Factor the expression 

2x +10

2(x + 5)

400

Factor the expression.

10x - 25y

5(2x - 5y)

500

Factor the expression

90y² + 65y

5y(18y + 13)

More 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?

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

Yes

500

Are the expressions equivalent?

5(2a - 3b) = 15a - 10b

No