Modeling Equations and Inequalities

Greens are positive and reds are negative. Solve for x.

• x= -17

• x= -1

• x= 1

• x = 17

• x> -8.5

• x< -8.5

• x> -12.5

• x> 12.5

Greens are positive, reds are negative. Solve for x

• x<7

• x>7

• x<14

• x<4

Green boxes are equal to 1 and red boxes are equal to -1. Solve for x.

• x=3

• x =6

• x=15

• x=18

You have a budget of $160 to order shirts for a math club. The equation 8x + 10y = 160 models the total cost, where x is the number of short-sleeved shirts and y is the number of long-sleeved shirts.

Tags

TN21.A1.F.IF.C.7

TN21.A1.A.CED.A.2

TN21.A1.F.IF.B.5

TN21.A1.N.Q.A.1

TN.A1.N.Q.A.1a

Your taxi fare is $2.50 per mile, plus a $5 fee.  You cannot exceed $20.  Which inequality models this scenario?

• 5x + 2.50 ≤ 20

• 2.50x + 5 < 20

• 2.50x + 5 ≤ 20

• 7.50x < 20

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?

Garima likes her job as a baby-sitter (b), but it pays only Rs300 per hour. She has been offered a job as a tutor (t) that pays Rs600 per hour. Because of school, her parents only allow her to work a maximum of 15 hours per week, but she needs to make at least Rs6600 per week. Which system of inequalities below correctly models Joann's situation?

• b + t < 15

  3b + 6t > 66

• b + t > 15

  3b + 6t < 66

• 3b + 6t > 15

  b + t < 66

• 300b + 600t < 15

  b + t < 66

Write an linear equation to model the following:
You want to buy desserts, ice-cream is $2.50 per scoop and puppychow is $4 per bag and you want to spend $20. 

• y=2.50x+4

• 2.50x+4y=20

• y=4x+2.5

An airplane 30,000 feet above the ground begins descending at a rate of 2,000 feet per minute. Write an equation to model the situation.

• y = - 2,000x + 30,000

• y = - 2,000x - 30,000

• y = 30,000x + 2,000

• y = -30,000x + 2,000