Unit 3: Solving Linear Equations Midterm Review

Solve 4x - 2 = 22

Answer: x = 6

Solve 3x + 1 = 4x - 7

Answer: x = 8

Solve -2x + 5 = 6x - x - 16

Answer: x = 3

Camila has saved $17. She earns $45.75 per week baking cakes. How many weeks will Camila need to work to save $200? Write and solve an equation to find x, the number of weeks.

Answer:
45.75x + 17 = 200
x = 4

Solve -6(2x + 4) = 36

Answer: x = -5

Solve -3(x - 1) = -3x - 11

Answer: No Solution

Solve x - 3x + 5 = 4x + 11

Answer: x = -1

Solve 4x - 5 = 2x - 23

Answer: x = -9

Solve x + 3x - 4 = 3x - 6

Answer: x = -2

Solve 6x + 5 = 9x + 26

Answer: x = -7

Solve 14 = 5x - 11

Answer: x = 5

Solve 3x + 18 = 4x + 9

Answer: x = 9

Solve for x: ax + b = c

Answer: x = (c - b)/a

Connor has 24 to spend. He buys a sandwich for $6.50 and some snacks that cost $2.50 each. What is the maximum number of snacks he can buy?

Answer: 7

Identify the property: 9 + 8 = 8 + 9

Commutative Property

What is the first step in solving 3x + 8 = 17?

Subtraction Property of Equality
OR
Subtract 8 from both sides

Oldie but Goodie. Factor: 18x - 12y

6(3x - 2y)

Identify the variable, the constant and the coefficient in 12x + 6 = 22

Constant: 6 and 22
Coefficient: 12
Variable: x

2/3x - 4 = 8

x = 18

Matt has $85.00 to spend. He wants to buy an Islander shirt that costs $26.50 and some hockey pucks that cost $4.25 each. Write an equation that can be used to determine x the maximum number of hockey pucks that Matt can buy.

4.25x + 26.50 = 85.00