Unit 3 Test Review

Collecting Like Terms

100

Simplify: 4x+5-3x+1

1x+6

200

Simplify: 2x+7-5-5x

-3x+2

300

Simplify: 11x+20y+8+5+2x-5y

13x+15y+13

400

Simplify: 

0.25k-2(k+2.75)-1.25

-1.75k-6.75

500

Simplify: 

1/2(x-6)+5/4x-2

7/4x-5

Distributive Property and GCF

100

What is the Greatest Common Factor of 6 and 24?

6

200

Simplify:    

 2(3x-4)+3

6x-5

300

Factor out the GCF: 12x+9

3(4x+3)

400

Factor out the GCF:  32x-80

16(2x-5)

500

-2/3(4x-10)+8x-11/3

16/3x+3

1 & 2 Step Equations (Integers & Rational)

100

Solve:

-17x=51

x=-3

200

Solve:

x/8=-3

x=-24

300

Solve: 4.45x+0.25  = 9.15

x=2

400

Solve: 

(x-5)/4=-3

x=-7

500

Solve: 

-1/3x-7/2=4

x=-45/2

Multi-Step Equations (Integers)

100

Solve:

 6(x+1)=24

x=3

200

Solve:

 -1+2(x+2)=-7

x=-5

300

Solve: 

200=154+2(3-5x)

x=-4

400

 Solve: 

-4(2x-9)=90

x=-27/4

500

Solve:

5(x-5)-(x-16)=-12

x=-3/4

Multi-Step Equations (Rational)

100

When solving an equation with a fractional coefficient, you must _______ ____ ___ _________?

Multiply by the Reciprocal

200

 Solve:

 2.8=-3x-1.2+x

x=-2

300

Solve: 

1/4(x-16)=-3

x=4

400

Solve:

 2.75x-2(x+1)+0.75x=10

x=8

500

 Solve:

2/3(x+5)+1/2=11/6

x=-3

Types of Solutions

100

Solve:

7x+5-7x=1

No Solution

200

Solve:

4(x+5)-16 = 4

x=0

300

Solve:

5(4-2x)+10x=20

IMS

400

Solve:

1/2(6x-8)=3(x-4/3)

IMS

500

In order to make the following equation have an answer of NO SOLUTION, what value must z be?

1.8r+9= z(0.6r-3)

z= 3

VOBS(Integers)

100

Solve:

x + 7= 4x + 4

x=1

200

Solve:

x=-5x+18

x=3

300

Solve:

-5+12x=6(2x-9)

NS

400

Solve: 

2z+4+3x=8x+22-10+9x-8x

x=-2

500

Solve: 

^{5x+6(-2x-4)-3x+9+2(-x+7)=-27+40x+12-4x-6x-8(4x+2)+6(-2x+3)}

x=-6

VOBS(Rational)

100

Solve:

2(3.2x-2)=8(0.1x+0.2)

x=1

200

Solve: 

x+3=5/2x-3

x=4

300

Solve:

1+2x=5(1/3x+1)

x=12

400

Solve: 

2/7(x+14)=-6(6+3/7x)

x=-14

500

Solve: 

3/2 (26x-39)=66+3/2x+9/2+12x-3/2

x = 5

Word Problems

100

Olivia drank twice as many Bublrs as Audrey this year. Altogether, they have had 42 Bublrs. How many Bublrs has olivia drank?

28 Bublrs

200

Coca Cola sells 6 times as many cans of soda as Pepsi in a month. Together, they sell 21 million cans of soda in one month.

How many cans of Pepsi are sold in one month?

3 million cans of pepsi sold in one month

300

Write and solve an equation for the following words:

4 times the quantity of a number and 2 is equal to seven less than the number

4(x+2)=x-7

x=-5

400

Nicole is building a triangular shaped patio for Sparky to run around on in the summers. One side is 18 feet long. The second side is three times the length of the third side, and she only has 50 feet of material to use.

How long are the three sides of the patio?

18 feet, 8 feet, and 24 feet

500

Mr. Parola and his daughter are building a block tower. Mr. Parola's tower is 4 times the height of his daughters, and they are a combined height of 120 inches tall. 

How tall is Mr. Parola's block tower?

96 inches tall

If you said 24, you forgot to multiply it by 4