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

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

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:

5n(4n-3)

20n^2-15n

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

Factoring & more

100

Factor:  6x + 10

2(3x+5)

200

Factor:  21y - 49

7(3y-7)

300

Factor:   -16x - 4

-4(4x + 1)  

400

Factor: 

12x + 18xy + 26x

2x(9y+19)

500

Find the area of a rectangle with a length of 2x and a width of x + 5

2x² + 10x

Anything expressions

100

Write an expression for "8 less than the product of 5 and x"

5x - 8

200

What are the like terms in this expression?

4x+3y+4x-2y+7

4x and 4x

3y and -2y

300

Does the distributive property or combining like terms come first when simplifying algebraic expressions?

Distributive - Multiplying comes before addition and subtraction

400

True or False: You do 3 + 4 first to simplify this expression.

3 + 4(2n - 5)

False

500

Write an expression for "double the sum of 3 and n"

2(3 + n)

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^2

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

400

Are the expressions equivalent?

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

Yes

500

Are the expressions equivalent?

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

No