Dist. Prop/Factoring
Simplifying Expressions
Linear Expressions
Write/Evaluate Exp.
Terminology
100

3(–2x + 2)

-6x + 6 

100

Combine like terms:

-6n + 3n  + 12 - 8

-3n + 4

100

Add the expressions ...

(5x - 4) + (9x + 5)

14x + 1 

100

The expression 3a + 2b represents the total cost for "a" pounds of apples and "b" pounds of bananas.  Find the cost to buy 3 pounds of apples and 4 pounds of bananas. 

$17

100

The number that is in front of the variable

Coeffiecent

200

–2(x + 1)

-2x - 2

200

Combine like terms:

-8a - 3a + 15b + 9b + 6

-11a + 24b + 6

200

Add the expressions ...

(-x + 4) + (-2x - 5)

-3x - 1 

200

Tickets to the zoo cost $14 per person "p" plus $8 to go on the carousel.  Write an expression for the cost for "p" to go to the zoo plus 1 carousel ride. 

14p + 8

200

The letter in an expression that stands for an unknown number

Variable

300

–4(–5x + 3y - 9)

20x - 12y + 36

300

Combine like terms:

-4x - 3x + 12 - 19

-7x - 7 

300

Subtract the expressions ...

(x +7 ) - (-2x + 1)

3x + 6 

300

John made x baskets in the game and Andy made twice as many baskets as John.  Write a simplified expression for the total number of baskets made. 

3x

300

The term in an expression without a variable is called a...

Constant

400

Factor the expression using the GCF:

-14x + 18 

2(-7x + 9)

400

Combine like terms:

2(3x - 4) - 10x 

-4x - 8

400

Subtract the expressions ...

(3x - 4) - (-2x - 9)

5x + 5 

400

Write a simplified expression for perimeter of a rectangle with a length of 3x + 2 and a width of 2x + 1

10x + 6

400

List the coefficients and constants

-3ab + 6a - 9b + 9 - 6ab + 8 - 11a

Coefficients: -3, 6, -9, -6, -11

Constants: 9 and 8

500

Factor the expression using the GCF:

36x - 48y + 12 

12(3x - 4y + 1)

500

Combine like terms:

 - 3(-2x + 4) + 10 

6x - 2

500

Subtract the expressions ...

(11 + 9x) - (8 - 12x)

3 + 21x  or  21x + 3 

500

Mike ran 5x + 8 miles and Jim ran 3x - 3 miles.  How many more miles did mike run than Jim.  

2x + 11 miles

500

List the like terms

-5x + 9x - 3y + 6 - 8y - 12

-5x and 9x

-3y and -8y 

6 and -12

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