Solving Linear Equations Review 2

What is the inverse operation of division?

• Division
• Multiplication
• Addition
• Subtraction

Tags

CCSS.HSA.REI.A.1

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

Tags

CCSS.HSA.REI.A.1

Select the situation that could be modeled by: 120 + 25x = 45x.

• John bought a car radio for $120 and speakers for $25 each. Joe bought a radio for $45. They each paid the same. How much did they spend?
• George charges a flat fee of $120 to mow a lawn plus $25 an hour. Greg charges $45 a hour to mow a lawn. After how many hours do they make the same amount?
• Lisa pays $120 for each purse she buys plus an additional $25 to have them personalized. Lauren pays $45 for each purse she buys. How many purses must they buy for the amount they spent to be the same?

Find the value of x.

• 1

• 4

• 5

• 8

Tags

CCSS.HSG.CO.C.11

At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00. Write an equation to determine how many games would need to be purchased for the cost to be equal?

• 150x + 24 = 180 + 20x

• 180 - 150 = 24 x + 20x

• 150 + 24x = 180 + 20x

• 150 - 24x = 180 - 20x

The objective when solving an equation is to....

• isolate the variable.
• check the solution.
• guess and check.
• Combine Like Terms.

Tags

CCSS.7.EE.B.4A

Solve: 5x + 15 = 10x - 40

• x = 10

• x = -10

• x = 11

• x = -11

Julie started with 20 pieces of gum and gave away x pieces. Conrad started with 35 pieces of gum and gave away twice as many pieces as Julie did. How many pieces of gum did Julie give away if they had the same number of pieces of gum left?

• 18

• 5

• 15

• 8

Tags

CCSS.7.EE.B.4A

Find x

• 3
• 4
• 2
• 10

Tags

CCSS.HSG.CO.C.11

Renting a kayak costs $10 per hour. Renting a canoe costs $5 per hour plus a $7 fee. Which equation could be used to determine h, the number of hours for which they each cost the same?

• 10h=5h+7

• 10h=5+7h

• 10h+5h=7

• 5h=10h+7