Multi-Step Equations Review Unit 1 Assessment

Two Step

100

7x-5=-30

-5

200

-x+7/2=-5/4

x=19/4 or 4 and (3/4)

300

9/2=15+8/3x

Answer -63/16 or -3 and 15/16

400

-14.3=-1.4-3x

x=4.3

500

(x-12.4)/1.9=-13

x =  -12.3

Multi Step - Variable on one side

100

-5(3x+6)=-120

x = 6

200

-3x+18+18x=-87

x = -7

300

9x - 8 - 3x = 64

x = 12

400

41 = 2(5x + 3) + 5

x = 3

500

-326=3x-5(6+8x)

x = 8

Variable on both sides

100

5x + 8 = x + 12

x = 1

200

15 + 6x = 45 + 8x

x = -15

300

5x + 11 + 3x = 4x + 12 + 7

x = 2

400

5x - 7x + 1 = 8(x + 2) - 5x

x = -3

500

-(-5x+8)=-3(-2x-1)

x = -11

One, None, and Infinite Solutions

100

5x - 10 = 3x + 2

x = 6

One solution

200

x-4=3+x

No Solution

300

1/3(2x-5)=3/5(5x-10)

One Solution

400

2(-7x+6)-5(1-2x)=2x-6x

No Solution

500

-1/4(5/4x-5/2)-9/8=-1/2(5/8x+1)

All Real Numbers or Infinite Solutions

Word Problems - Write an equation Solve

100

Ryan had some paper with which to make note cards.  On his way to his room he found two more pieces to use.  In his room he cut each piece of paper in half.  When he was done he had 24 half-pieces of paper.  With how many sheets of paper did he start?

(x+2)2=24

x=10

200

Lea spent half of her weekly allowance playing arcade games.  To earn more money her parents let her clean the windows in the house for $4.  What is her weekly allowance if she ended with $13?

$18

x/2+4=13

300

The sum of three consecutive numbers is 30.  What is the smallest of these numbers?

x+(x+1)+(x+2)=30

x=9

400

The sum of three consecutive odd

numbers is 45.  What is the smallest of

these numbers?

x+(x+2)+(x+4)=45

x = 13

500

Rachel’s Chemistry class has 4 unit exams and a final. She needs at least an average of 85 (a letter grade of B) in order to keep her scholarship. If her unit exam scores are 75, 89, 79 and 92, what is the grade Rachel needs on her final exam in order to keep her scholarship?

x=90

(75+89+79+92+x)/5=85