CLT, Distribute, Equations

CLT, Distribute, Equations

by Courtney Yatteau

Terms

Terms are separated by + and -.​

Multiple Choice

Which expression contains exactly 3 terms?

• 5 + 6xy
• 9 + 4t
• 8 + 2y - 5x
• 24xy

Multiple Choice

Which expression contains exactly 2 terms?

• 5 + 6x - xy

• -5 + 3x

• 2y + 2y - 5x + 5x

• 24y

Coefficient

A coefficient is the number attached to the front of a letter.

Multiple Choice

The number in front of a variable is called the __________

• variable
• slope
• constant
• coefficient

Multiple Choice

What is the coefficient in the algebraic expression 7xy²?

• 7
• x
• y²
• 0

Multiple Choice

State the coefficient of mn in the following expression: n - 8mn + 7.

• 1

• 7

• 8

• -8

Multiple Choice

What are the coefficients in this statement?
a + 6b = 2

• 6
• 2
• 1, 6
• 1, 6, 2

Like Terms

Like terms have the same:

- VARIABLE(s)

​

Multiple Choice

Select the like term with: $$2x^3$$  

• $$-2x$$  

• $$3x^2$$  

• $$-15x^3$$  

• $$-\frac{1}{2}yx^2$$  

Multiple Choice

Select the like term with: $$6x^2y$$  

• $$-5y^2x$$  

• $$\frac{1}{6}xy$$  

• $$6xy^2$$  

• $$-\frac{1}{2}yx^2$$  

Combine Like Terms

To simplify an expression we combine like terms, by adding the coefficients (number in front).

Multiple Choice

Simplify the Expression:

3a + 7 - 2a

• 8a

• 12a

• a + 7

• 5a + 7

Multiple Choice

Simplify the expression: 2x + 1 + 7x 

• 10x
• 10
• 9x + 1
• 9 + 1x

Multiple Choice

Simplify the following expression:
3 + 5x + 8 - 2x

• -3x² - 11
• 3x² + 11
• 11 - 3x
• 11 + 3x

Multiple Choice

Simplify the Expression:

3m - 15 + 2m - 4

• 5m - 19

• m + 19

• 5m - 15

• 24m

Distributive Property

To simplify an expression with ( ), multiply the number attached to everything inside ( ).

Multiple Choice

Simplify: 2(c - 8)

• 2c - 16
• 2c + 16
• 2c - 8
• c - 16

Multiple Choice

Simplify: 3(2c - 5)

• 6c - 15
• 6c + 15
• 6c + 15
• -6c - 15

Multiple Choice

Simplify: 3(4 + 3r)

• 12+9r
• 7+6r
• 12+5r

Simplify an Expression

To simplify an expression, do the following:

1. Distribute (if possible)

2. Combine like terms​

Multiple Choice

Simplify the following expression:
-7x +5 (1 - 8x)

• -33x + 5
• 5 + 33x
• 47x + 5
• 5 - 47x

Multiple Choice

Simplify the following expression:
-6x + 4(-x - 3)

• -2x - 12
• 10x + 12
• -10x - 12
• -2x + 12

Multiple Choice

Simplify the following expression:
-8 (5b + 2) -7 (b - 5)

• -33b + 19
• -47b² +  21
• 33b - 19
• -47b -19

Multiple Choice

Simplify the following expression:
19 - ( 3 - 5b)

• 16 + 5b
• 21 + 5b
• 16 - 5b
• 21 - 5b