Multi-Step Equations Classwork

What would be the next step in solving the following equation for x?  

$2x\ +\ 3\ =\ 7$ $2x\ +\ 3\ =\ 7\$  

• Divide both sides of the equation by 2

• Add 3 to both sides of the equation

• Multiply both sides of the equation by 2.

• Subtract 3 from both sides of the equation

Solve the equation below and justify the steps to your solution. $$
2\left(6k+8\right)-6k=4 
           

•  $n\ =\ 4$  

•  $k\ =\ \frac{11}{5}$  

•  $8n\ -\ 24\ +\ 2n\ =\ 16$  

•  $8n-6\ +2n\ =\ 16$  

•  $combine\ like\ terms\$  

What is the first step to solve this equation?
k + 6 = -4k - 9 

• Add k to both sides of the equation

• Add 4k to both sides of the equation

• Subtract 9 from both sides of the equation

• Subtract 4k from both sides of the equation

The goal of solving a one, two, or multi-step equations is to:

• Find the constant

• Find the coefficient

• Find the value of the variable

• Guess and check

Tags

CCSS.7.EE.B.4A

Simplify by combining like terms:
5a + 2b - 3a + 4

• 8a + 2b + 4
• 2a + 2b + 4
• 8ab
• 4ab + 4

Tags

CCSS.7.EE.A.1

What is the inverse of multiplication?

What is the inverse of subtraction?

How would you "undo" the coefficient of the equation here:

 $\frac{x}{5}=9$  

What is a multi-step equations

• An equation with multiple answers.

• An equation with multiple steps to find the answer.

• An equation with the multiplication operation.

• An equation with at least one variable.

The steps in solving 5b - 6 = 24 are: 

• Add 6 to both sides and divide both sides by 5
• Add 6 to both sides and multiply both sides by 5
• Subtract 6 from both sides then multiply both sides by 5
• Subtract 6 from both sides then divide both sides by 5

Tags

CCSS.7.EE.B.4A