Equations Review

There are multiple ways to check your equation. Which are true?

• Plug your variable back into the equation (make sure it is true)

• Graph both sides of your equation and look for the x value

• Graph your equation and look for the y value

• Type in your entire equation and see what x equals

Step 1 : 5(x + 2) = 8 - x  

Step 2:  5x + 10 = 8 - x 

                     - 10  -10

Step 3: 5x = 6 - x
Describe the property shown between step 2 and 3

• Addition Property of Equality

• Multiplication Property of Equality

• Subtraction Property of Equality
  

• Distributive Property

Step 1 : 5(x + 2) = 8 - x  

Step 2:  5x + 10 = 8 - x 

                     - 10  -10

Step 3: 5x = 6 - x
Describe the property shown between step 1 and 2

• Addition Property of Equality

• Multiplication Property of Equality

• Subtraction Property of Equality
  

• Distributive Property

Step 1 : 5(x + 2) = 8 - x  

Step 2:  5x + 10 = 8 - x 

                     - 10  -10

Step 3: 5x = 6 - x
            + x        + x
Step 4: 6x = 6
Describe the property shown between step 3 and 4

• Addition Property of Equality

• Multiplication Property of Equality

• Subtraction Property of Equality
  

• Distributive Property

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

• Divide by 5
• Subtract 5
• Multiply by 7
• Subtract 7

Tags

CCSS.7.EE.B.4A

Using the "opposite operation" to "undo" and isolate the variable when solving an equation is more commonly called...

• Inverse operations
• math
• variable
• PEMDAS

Tags

CCSS.6.EE.B.7

Mrs. Schmidt's family bought lunch from Culvers.  They also bought some sodas from Quick Trip for $5.00. The meals cost $6.00 each. The total cost of the lunch and soda was $41.00. Let x represent the cost of the number of meals that Mrs. Schmidt bought. Write the equation and solve for x.

• -5+6x = 41, 4 meals
• 6x + 5 = 41, 6 meals
• 6x = 36 meals
• 5 + 6x = 41, 7 meals

Tags

CCSS.7.EE.B.4A

Heather is a hairdresser and her customers pay $5 to reserve an appointment time and $12 for every hour Heather works on their hair style. As a back to school special she offers to lower her price per hour by $5. What equation represents the total amount paid to Heather, y, after x hours of hair styling?

• y = 5 + 12x
• y = 12x
• y = 7x + 5
• y = 12x + 12

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.C.9

Solve the equation for y.

5x - y = 16

• -y = 5x + 16

• y = 5x + 16

• x = 5y - 16

• y = 5x - 16

Tags

CCSS.6.EE.C.9

What is the first step in solving the equation for y?

8x + 4y= 16

• Divide both sides by 4.

• Add 8x to both sides.

• Subtract 8x from both sides.

• Subtract 4 from both sides.

Tags

CCSS.HSA.REI.B.3