Unit Review Equations

Solve by Combining & Distributing

100

7x + 3 - 5x = 57

x = 27

200

5(-1 + 2x) = -25

x = -2

300

56 = 4(2x - 2)

x = 8

400

-6 = -3y + 4 + 5y

y = -5

500

78 = 3c + 12 - c + 4

c = 31

Variables on Both Sides

100

4x + 4 = 4(-x + 1)

x = 0

200

-18 + x = 5x + 6

x = -6

300

-5x + 4x - 5 = x - 4

x = -1/2

400

4 + 3(2x + 2) = 2(-2x + 5) + 10x

infinite solutions

500

7(9 - x) = -2x + 82 - 5x

no solution

Simplify Expressions

100

Simplify. 8b + 3b

11b

200

Simplify. -3x + 12 + 4x - 13

x - 1

300

Simplify. 3 + 5(a + 4)

5a + 23

400

Simplify. - 7(2x + 3) + 2(6x - 15)

-2x - 51

500

Simplify. 7(t + 8.5) - 5t + 4

2t + 63.5

Equation Grab Bag

100

3x + 7 = 28

x = 7

200

24 = 20 + x/6

x = 24

300

Graph:

-5 > x

________(-5)_________

<-----------0

400

7x - 5 <₌ 9

Graph

x <₌ 2

<-----*

500

7k - 8 + 2(k + 12) = 52

k = 4

Word Problems

100

WRITE AN EQUATION & SOLVE: The product of seven and a number less than five is fifty-four.

5 - 7n = 54

n = -7

200

A lawn has 156ft. of fencing. If ONE side has 4x + 10 and TWO sides have 3x - 2.

Solve for x.

4x + 10 + 2(3x - 2)

10x + 6 = 156

x = 15ft.

300

4(-2x - 3) = 12

  -8x - 12 = 12

         -8x = 0

            x = 0

What is wrong? What should the solution be?

They should have added 12.

x = -3

400

Mr. Bucci goes to the grocery store and purchases 17 bags of raisins and a $2.97 jar of peanut butter. His total cost was $34.76. What was the cost for a bag of raisins?

r - cost of a bag of raisins 17r + 2.97 = 34.76 r = 1.87 Each bag of raisins cost $1.87

500

A propene company charges $45 for installation, and $27 for each tank. You owe the company $207.

Write an equation that represents the scenario AND solve.

27p + 45 = 207

p=6