Review: Solving One Variable Equations

Review: Solving

Two-Step and

Multi-step

Equations​

Students will be able to analyze equations and state the correct steps to solve the equations.

​

Students will be able to solve equations.​

Multiple Select

Place a check mark in each step that is correct. (There should be 2)

4x−15=25

• Add 15 to both sides

• Subtract 15 from both sides

• Multiply by 4 on both sides

• Divide by 4 on both sides

Multiple Select

Place a check mark in each step that is correct. (There should be two checkmarks.)    

$$\frac{x}{-3}$$  ​+20 = 30

• Subtract 20 from both sides

• Add 20 to both sides

• Multiply by -3 on both sides

• Multiply by 3 on both sides

Multi-Step Equations

Multiple Choice

Solve. $$-6n\ -2n\ =\ 16$$  

• $$n\ =\ -2$$  

• $$n\ =\ 2$$  

• $$n\ =\ 8$$  

• $$n=\ -8$$  

Multiple Choice

$$4x\ +\ 6\ +\ 3\ =\ 17$$  

• $$x\ =\ 6.5$$  

• $$x\ =\ -6.5$$  

• $$x\ =\ -2$$  

• $$x\ =2$$  

Multiple Choice

$$50\ =-5\left(6n\ +\ 8\right)$$  

• $$n\ =9$$  

• $$n\ =\ -3$$  

• $$n\ =-10$$  

• $$n\ =\ -20$$  

Multiple Choice

$$-5\left(4x\ -\ 2\right)\ =\ -2\left(3\ +6x\right)$$  

• $$x\ =\ 2$$  

• $$x\ =\ 8$$  

• $$x\ =\ -2$$  

• $$x\ =\ -8$$  

Multiple Choice

8v - 4(v + 8) = 8

• 2

• 10

• 4

• -4 

Multiple Choice

$$198=-6\left(7-8n\right)$$  

• No Solution
  

• All Real Numbers
  

• n = 5
  

• n = 12
  

Multiple Choice

Solve:

$$8-\left(x+3\right)=10$$  

• $$x=-5$$  

• $$x=15$$  

• $$x=-1$$  

• x = 1

Fractions are our friends, but we are over them!

​

1. Take the reciprocal of the fraction

2. Multiply through​

​

​EXAMPLE

​Let's apply that to solving a multi-step equation

Multiple Choice

Solve the equation:

$$4-\frac{2}{3}x=12$$  

• $$x=-24$$  

• x = -15

• $$x=-12$$  

• $$x=-6$$  

​EXAMPLE

Multiple Choice

Solve for x:

$$-20=\frac{x-3}{6}$$  

• $$x=-123$$  

• $$x=-117$$  

• $$x=-\frac{1}{3}$$  

• $$x=-29$$  

Poll

How do you feel about your ability

to solve these problems on your own?

• Bring it!

• I think I can do most of them

• I'm not quite sure

• Can you do a couple more?

• Dude, what are we doing?