Unit 1 Solving Equations Midterm Review

2(4x - 3) - 8 = 4 + 2x

• x = 1

• x = 3

• x = 5/6

• x = -3

-3x + 6 = -3(x + 3)

• No solution

• all real numbers

• x = -9

• Identity

3 - 7t = -5t + 3 - 2t

• infinitely many

• no solution

• one solution

• t = 8

Solve the following equations
4 (x + 3) = 2x + 5

• 7/2
• - 7/2
• 2
• 7

2(4x - 3) - 8 = 4 + 2x

• x = 1

• x = 3

• x = 5/6

• x = -3

Solve:
2(2x + 3) = -6(x + 9)

• 1.2
• 6
• -6
• 7.5

-14 + 6b + 7 - 2b = 1 + 5b

• no solution
• -8
• 45
• -35

What is the first step you should take to solve this equation:

 $3\left(x-2\right)=2x+7$  

• Add 2 to both sides

• Use distributive property to get rid of the parentheses

• Isolate the variable on one side

• Subtract 7 from both sides

Check all steps that you would need to take to solve this equation:

 $8\left(2x-3\right)+2x=4x-4$  

• Use distributive property to get rid of parentheses

• Combine like terms

• Move the variable to one side of the equation

• Use inverse operations to isolate and solve for the variable.

Check all steps that you would need to take to solve this equation:

 $4x-2=-2x+16$  

• Use distributive property to get rid of parentheses

• Combine like terms

• Move the variable to one side of the equation

• Use inverse operations to isolate and solve for the variable.