Unit 2 Study Guide

Simplifying Expressions

100

2x-6x+7x

3x

200

7y-y

6y

300

2x + 4 +3x

5x+4

400

For the expression 

10y+4y+8y 

What are all the equivalent expressions?

A) 22y

B) 12y-10y

C) 10y+12y

D) 22+y

A and C

500

3x+7-7x-2

-4x+5

Distributive Property

100

2(x+y)

2x+2y

200

5(2x+3)

10x+15

300

-7(3x-11)

-21x+77

400

For the expression 

6(8x-3)

What are all the equivalent expressions?

A) 14x-3

B) 6*8x-6*3

C) 48x-3

D) 48x-18

B and D

500

5(2x+4)-14x

-4x+20

Evaluating Expressions

100

a(b+c) 

a=2

b=6

c=-4

4

200

b²-7b-8      b=-2

10

300

Evaluate 5r - 8.35s when r = 12 and s = 4

32.6

400

Evaluate 3.6x + 4.5y when x = 3 and y = 7.

42.3

500

-50 + 5/13p    p=-26

-60

Definitions

100

What is a variable in math?

any letter or letters 

Example: x, y, a, b

200

What is a like term?

Something with the same letter and exponent

300

What a coefficient in math

any number by itself

Example: 1,2,500

400

What is an expression?

A combination of numbers, letters, and operations without an equal sign

500

Label the terms and like terms of the expression 

5x+2-3x-6

Terms:

5x,2,-3x,-6

Like Terms:

5x,-3x

2,-6

Write Expressions

100

16 increased by twice her height

use h for height

2h+16  or

16+2h

200

6 less than a

a-6

300

Write an expression that represents the weight of an object that weighs 12 pounds and increases by 0.5 pounds per month, m.

12+0.5m

400

Model with Math Which expression can be used to determine the total weight of b baseballs that weigh 5.25 ounces each and s softballs that weigh 6.5 ounces each?

5.25b+6.5s

500

five less than the quotient of 22 and Greg's savings

use g for gregs savings

22/g -5