Systems Quiz Check-IN

Select the systems that have the same solution as the following below.

x + y = 11

2x + y = 19

• 3x + 2y = 30

  6x + 3y = 57

• x + y = 11

  -2x - y = -19

• 3x + 3y = 33

  -10x -3y = -95

• 4x + 4y = 44

  -8x - 4y = - 76

Select the systems that have the same solution as the following below.

5x + y = 9

10x + 7y = −18

• 15x + 8y = -9

  20x + 14y = -36

• -10x - 2y = -18

  10x - 7y = -18

• 15x - 5y = -9

  10x - 7y = -18

• -35x - 7y = -63

  10x + 7y = -18

• -10x - 2y = -18

  10x + 7y = -18

Select the systems that have the same solution as the following below.

-5x - 2y = 3
5x + 2y = 3

• -8x - 8y = 6
  8x + 8y = 5

• No solutions

• -60x - 20y = 3
  60x + 20y = 10

• -16x - 16y = -12
  16x + 16y = 12

• Infinitely Many Solutions

Maria owns a cake shop. She is currently preparing cakes for two anniversary parties. The first cake has 3 small tiers and 1 medium tier and will serve a total of 100 guests. The second one has 3 small tiers and 2 medium tiers and will serve a total of 140 guests. How many guests will a small tier serve? A medium tier?

• A Small Tier Serves 20 guest

  A Medium Tier serves 40 guest

• A Small Tier serves 10 guests

  A Medium Tier serves 20 guests

• A Small Tier serves 40 guest

  A Medium Tier serves 20 guests

• A Small Tier serves 33 guests

  A Medium Tier serves 70 guests

Carla volunteered to make pies for a bake sale. She bought two pounds of apples and six pounds of peaches and spent $19. After baking the pies, she decided they looked so good she would make more. She went back to the store and bought another pound of apples and five more pounds of peaches and spent $15. What are the costs per pound of apples and peaches?

• Apples cost $0.32 per pound

  Peaches cost $3.06 per pound

• Apples cost $1.25 per pound

  Peaches cost $2.75 per pound

• Apples cost $2.75 per pound

  Peaches cost $1.25 per pound

• Apples cost $ 16.50 per pound

  Peaches cost $0.50 per pound

Gabe works as a carpenter and as a blacksmith. He earns $20 per hour as a carpenter and $25 per hour as a blacksmith. Last week, Gabe worked both jobs for a total of 30 hours, and earned a total of $690.

How long did Gabe work as a carpenter last week, and how long did she work as a blacksmith?

• Gabe worked 1.4 Hours as a carpenter

  Gabe worked 28.6 Hours as a blacksmith

• Gabe worked 12 Hours as a carpenter

  Gabe worked 18 Hours as a blacksmith

• Gabe worked 10 Hours as a carpenter

  Gabe worked 5 Hours as a blacksmith

• Gabe worked 18 Hours as a carpenter

  Gabe worked 12 Hours as a blacksmith

Bruno has some yarn that he wants to use to make hats and scarves. Each hat uses 0.2 kilograms of yarn and each scarf uses 0.1 kilograms of yarn. Bruno wants to use 2 kilograms of yarn to make a TOTAL of 15 items.

Which system of equations represents this situation?

• 0.2h + 0.1s = 2

  h + s = 15

• 0.1h + 0.2s = 15

  h + s = 2

• 0.1h + 0.2s = 2

  h + s = 15

• 0.2h + 0.1s = 15

  h + s = 2

Tags

CCSS.8.EE.C.8C

What is the solution to this system?

• (1, -1)
• (-1, 1)
• (0, -2)
• (2, 0)

Tags

CCSS.8.EE.C.8B

Which point below is NOT part of the solution set?

• (0, 0)

• (-3, 6)

• (3, 5)

• (4, -2)

Which of the following equations match the given graph?

• y ≤ -3/4 x + 3
• y ≥ -3/4 x + 3
• y < -3/4 x + 3
• y > -3/4 x + 3

Tags

CCSS.HSA.REI.D.12