Model With Equations

14p - 8 = 22 + 20p

• -5

• 5

• 30

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?

Select the situation that could be modeled by: 8 + 4x = 12 + 3x.

• Winnie bought a family meal with 8 burgers and 4 fries. Wilson bought a family meal with 12 burgers and 3 fries. If they each paid the same amount, how much did they spend?

• Team A runs 8 drills that a 4 minutes each. Team B runs 12 drills that are 3 minutes each. Which team practices longer?

• The basketball team currently has 8 players and is growing by 4 players each month. The volleyball team has 12 players and is growing by 3 players each month. After how many months will they have the same number of players?

The school board is selling pizzas for
$7 each to raise money for new
uniforms. The supplier charges $100
plus $4 per pizza. How many pizzas
does the school board need to sell to
make a profit?
(HINT: Write the equation & then solve.)

• 33
  

• 100

• 15

Look at the table. Which equation best models the data?

• f(x) = -4x + 1

• f(x) = 2x - 8

• f(x) = -12x + 3

• f(x) = 2x + 2

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

The following table shows the cost of a canoe ride.

Which equation models the relationship between the total cost, y, and the hours, x?

• y = 40x + 15

• y = 40 + 15x

• y = 15x

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

What would be the first step to solving the equation being modeled? (green=x red = -1 blue = 1)

• -2x - 4= 10

• 2x - 4 = 10

• -2x -4= -10

• 2x + 4 = 10

Tags

CCSS.7.EE.B.4A

The following table tracks the ability of a football team to lift weights (bench press) and the amount of time the team spent working-out each week. A linear function can be used to model the data. Write a linear equation to model the data. Hint: On both m and b, go three decimals back.

Mathematical Equivalence

ON

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

What is the equation of the trend line?

Tags

CCSS.8.EE.B.5

Which of these equations could be represented by this model?

• 3x = 9

• x + 3 = 9

• x = 12

• 2x + 3 = 10

Tags

CCSS.6.EE.B.5