equation and inequality review guide

The equation 2x + 4 = 11 is modeled above. What is the value of x?

• 2 1/2

• 3

• 3 1/2

• 2

Solve the equation showing all steps:

-3/4x - 5 = -14

• 12

• 9

• -12

• -9

Solve the equation showing all steps:

-1/2x +3 = -9

• 12

• 24

• -12

• -24

Mr.Wennerlind wants to buy a winter jacket. He needs $82.00 to buy a jacket. He can earn $12 an hour by teaching Friday Night Lights and he found $10 on the sidewalk. Write and solve an equation to find how many hours he needs to teach at Friday Night Lights.

• 72

• 12

• 6

• 48

Mr. Griffin needs more than $400 to buy a Playstation. He will earn $25 per hour to tutor students after school and Ms. Solis finally paid him the $50 she owed him. Write an equation or inequality that best represents the amount of hours that Mr. Griffin would need to work to be able to buy the Playstation. Then solve the equation or inequality.

• 350

• 25

• 14

• 11

Mrs. Pickle-Pena needs more than $30,000 to buy a new SUV. She just won $25,000 from the lottery and will earn $50 per hour working at Kumon tutoring kids. Which equation or inequality below best represents the amount of hours that Mrs. Pickle-Pena would need to work to purchase her new SUV?

• h = 100

• h < 100

• h > 100

• h ≥ 100

What would be a possible situation to solve the equation $10.25x + $9 = $132.

• You have $132 to spend. You buy a pair of sunglasses for $10.25. How many scarves can you buy if they are $9 each?

• You have $132 to spend. You buy a pair of sunglasses for $9. How many scarves can you buy if they are $10.25 each?

Which problem situation matches the equation?

$4.25x + $10 = $100

• Taz needs $100 to buy a new bike. He has $4.25 and can earn $10 per hour babysitting.

• Lea needs $100 to buy a prom dress. She has $10 and can earn $4.25 per hour helping her neighbor wash their cars.

• Brighton needs $4.25. He has $10 and can earn $100 per hour driving his taxi.

• Anna needs $4.25 to take her friends to the movies. She has $100 and can earn $10 per hour babysitting.

Solve the following inequalities and know how to graph:

-5x - 8  ≤  -13

•  $x\ge1$  
  

•  $x\le1$  

•  $x\ge-1$  

•  $x\le-1$  

 $3x\ +6\ \ge15$  

•  $x\ge3$  

•  $x\le3$  

•  $x\le-3$  

•  $x\ge-3$