Non-linear equations (one variable)

Solve the formula for y.  What is the 2nd step? 

• Divide each side by B. 
• Multiply each side by y. 
• Multiply each side by B. 
• Divide each side by y. 

If 7m - 4 = 31, then 7m = 35

• Addition Property of Equality

• Subtraction Property of Equality

• Multiplication Property of Equality

• Division Property of Equality

True or False:  In order to solve the equation below, you would add 6 to each side then multiply by 8 on each side. g/8- 6 = -12

• true

• false

 $\frac{3}{4}x+\left(-1\frac{1}{2}\right)=2$ Select the correct first step using Addition Property of Equality.

•  $\frac{3}{4}x+\left(-1\frac{1}{2}\right)\ +\left(1\frac{1}{2}\right)=2+\left(1\frac{1}{2}\right)$  

•  $\frac{3}{4}x+\left(-1\frac{1}{2}\right)\ +\left(\frac{3}{4}x\right)=2+\left(-\frac{3}{4}x\right)$  

•  $\frac{3}{4}x+\left(-1\frac{1}{2}\right)\ +\left(-1\frac{1}{2}\right)=2+\left(-1\frac{1}{2}\right)$  

In the equation below, what could be ANOTHER first step to solve?
-4(10m+5)=12

• Distribute the -4 to each term inside the parentheses
• Divide both sides by 12
• Multiply both sides by 4
• Add 10m and 5

What operation will you use to solve step two?

Five friends went to dinner at Old Chicago. Each person’s meal was $8. They paid with $55. The amount they got back after they paid was the amount they tipped their waitress. How much did they tip her?

• addition

• subtraction

• multiplication

• division

What property of equality is shown below?

10 + d = 25

10 + d -10 = 25 - 10

• addition property of equality

• subtraction property of equality

• division property of equality

• multiplication property of equality

What is the first step in solving the equation?

• Add 4 to each side
• Subtract 4 from each side
• Subtract 2y from each side
• Divide each side by 2y

What property of equality is shown below?

 $\frac{y}{8}=8$ 
 $y\cdot$  8 = 8 $\cdot$  8

• addition property of equality

• subtraction property of equality

• multiplication property of equality

• division property of equality

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