Systems of Equations/Inequalities

Which of the following is not a solution to this system of inequalities?

• (0,-1)

• (0,3)

• (4,0)

• (6,-2)

Tags

CCSS.HSA.REI.D.12

Which system of inequalities is shown?

• y ≥ -x - 1

  y ≤ x + 4

• y < -x - 1

  y ≥ x + 4

• y > -x - 1

  y ≥ x + 4

• y > x - 1

  y ≥ x + 3

Tags

CCSS.HSA.REI.D.12

Which system of inequality is shown?

• y ≥ -1/5x - 1/2

  y ≥ -2x - 4

• y > -1/5x - 1/2

  y ≤ -2x - 4

• y ≥ -1/5x - 1/2

  y ≤ -2x - 4

• y > -1/5x - 1/2

  y ≥ -2x - 4

Tags

CCSS.HSA.REI.D.12

Solve by elimination: Remember you are looking for Matching Opposites/You are always adding! PAY ATTENTION TO YOUR SIGNS. Hint: multiply the bottom one by "-1"

9x - 4y = 7

x - 4y = -17

• (-1,5)

• (-7,5)

• (7,5)

• (3,5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Is the ordered pair (2, 0) a solution to the following system of inequalities below?

y > -2x + 1

y ≥ 3x + 3

• YES

• NO

At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54.

The price of the math textbook is $8 more than 3 times the price of the novel.

Which system of linear equations could be used to determine the price of each book?

• M + N = 54 and N= 8M + 3

• M + N = 54 and 3M + N = 8

• M + N = 54 and 3N + M = 8

• M + N = 54 and M = 8 + 3N

Tags

CCSS.HSA.CED.A.3

He needs to save at least $100 for the prom.  He works 2 jobs earning $8 per hour at the car wash (c) and $15 per hour mowing lawns (m).

 He only has time to work 14 hours before the prom.

Which inequalities below model the situation?

• c + m  ≥ 15
  c + m ≤ 8

• 8c + 15m ≤ 100
  2c + 8m ≤ 14

• c + m ≥ 100
  8c + 15m ≤ 14

• 8c + 15m ≥ 100
  c + m ≤ 14

A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. To find determine when the cost will be the same, which system below would best models the information?

• y = 6.80x + 0.90 and y = 7.30x + 0.65

• y = 0.9x + 6.80 and y = 0.65x + 7.30

• 6.80x + 0.90y = 7.30 and x + y = 0.65

• 0.90x + 0.65y = 7.30 and x + y = 6.80

Tags

CCSS.8.EE.C.8C

At a restaurant the cost for a breakfast taco and a small glass of milk is $2.10. The cost for 2 tacos and 3 small glasses of milk is $5.15. Which pair of equations can be used to determine t, the cost of a taco, and m, the cost of a small glass of milk?

• T= M + 2.10 and 2T + 3M = 5.15

• T + M = 2.10 and 2T + 3M = 5.15

• 2T + 3M = 2.10 and T + M = 5.15

• T = M + 2.10 and T + M = 5.15

Tags

CCSS.8.EE.C.8C

At a restaurant the cost for a breakfast taco and a small glass of milk is $2.10.

The cost for 2 tacos and 3 small glasses of milk is $5.15.

What is the cost of a small glass of milk?

• M = 1.15

• M = 2.10

• M = 1.05

• M= 0.95

Tags

CCSS.8.EE.C.8C