Solving Multi-Step Equations

​Solving Multi-Step Equations

Lesson and Practice Problems

Multiple Choice

$$k+19=10$$   

• k = 190

• k = -9

• k = 29

• k = 10/19

Multiple Choice

$$-14\ =\ j\ -\ 20$$  

• j = -7/10

• j = -34

• j = 280

• j = 6

Multiple Choice

$$110\ =\ -11m$$  

• m = 99

• m = -10

• m = 121

• m = -1210

Multiple Choice

$$\frac{a}{3}=\ 15$$  

• a = 45

• a = 18

• a = 12

• a = 5

Solving multi-step equations

​Main Idea: Isolate the variable

• Variables on one side and constants on the other!

  • Variable: a quantity that can change (represented by a letter, x)

  • Constant: a quantity that stays the same

  • Coefficient: the number in front of a variable

Some text here about the topic of discussion

Multiple Choice

In order to solve an equation, we must get variables on one side of an equation, and constants on the opposite side.

• False

• True

Multiple Choice

What is the first step in solving this equation:
5x + 7 = 12

• Divide by 5

• Subtract 5

• Multiply by 7

• Subtract 7

Multiple Choice

What is the first step you should take to solve this problem?

1 + 4n - 6n = 1 - 8n

• subtract 8n to both sides

• multiply 6n to both sides

• combine the like terms 4n + -6n

• add 1 to both sides

Multiple Choice

What is the first step you should take to solve this problem?

1 + 4n - 6n = 1 - 8n

• subtract 8n to both sides

• multiply 6n to both sides

• combine the like terms 4n + -6n

Multiple Choice

Jacob solved the following equation using the steps shown.

Step 1 5x + 9 = 2x - 3

Step 2 3x + 9 = -3

Step 3 3x = -12

Step 4 x = -4

What operation did he perform to get from Step 1 to Step 2?

• Subtracted 2x from both sides of the equation

• Subtracted 9 from both sides of the equation

• Multiplied both sides of the equation by 3

• Added -3 to both sides of the equation

Multiple Choice

What is the first step in solving the equation 2a - 4(a - 5) = 10

• Add 4 to both sides

• Add the 2a and a 

• Distribute 4 to a and -5

• Distribute -4 to a and -5

• Properties of equality

  • What you do to one side you must do to the other side!​

​

​Remember to balance the equation!

​

Multiple Choice

$$y\ -\ 7\ =\ -5$$  

• y = -35

• y = 2

• y = -12

• y = 5/7

Multiple Choice

$$-11p\ =\ -44$$  

• p = -55

• p = -33

• p = 484

• p = 4

Multiple Choice

Solve the equation: 4x - 5x + 9 = 5x - 9

• x=3

• x=-3

• x=-9

• x=9

Multiple Choice

Solve: 14p - 8 = 22 + 20p

• -5

• 5

• 30