Unit 5 Post Assessment Review Math 1

Consider the system of equations. What is the solution of the system of equations?

• (-30, 60 )

• (30, -60)

• (4,-8)

• (-4,8)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Malik sold chocolate chip (x) and oatmeal raisin (y) cookies and made a total sale of 71.35 dollars. He sold a total of 15 packages. The chocolate chip package is priced at 4.25 while the oatmeal raisin one costs 5.20.

Which systems of equations represents this situation?

• 5.20x + 4.25y = 71.35

  x + y = 15

• 5.20x + 4.25y = 15

  x + y = 71.35

• 4.25x + 5.20y = 15

  x + y = 71.35

• 4.25x + 5.20y = 71.35

  x + y = 15

Tags

CCSS.HSA.CED.A.3

Which operation describes a correct way to begin solving the system of equations?

• Multiply the second equation by 2 so the x values are the same.

• Multiply the second equation by 5 so the y-values are the same.

• Multiply the second equation by -5 so the y-values can cancel out.

• Multiply the second equation by 2 so the x-values can cancel out.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

The price of delivering packages for Send It, Inc. and Movers, Co. are shown. Let y represent the total cost of sending a package for a distance of x miles.

The two companies cost the same amount for a package sent to a distance of ​ (a)   miles.

• 10
• 5
• 15
• 12

Tags

CCSS.8.EE.C.8C

A trash collection company charges a monthly fee of 20 dollars as service charge plus an additional 2.50 dollars for equipment rental. Another company charges 17.5 dollars as service charge with an additional 10 dollars as rent for equipment How many months will it take for the charge of the first company to equal that of the second?

• 3

• 10

• 7.5

• 2.5

Mrs Cruz plans to buy fruits for the new year. She plans to spend no more than 150 dollars to buy mangoes and apples, and to buy at least a total of 15 fruits. Each mango costs 1.25 while every apple costs a dollar. Ifx and y represent the number of mangos and apples, respectively, which 2 equations represent this situation?

• 1.25x + y ≤ 150,

  x + y ≤ 10

• 1.25x + y ≤ 150,

  x + y ≥ 15

• 1.25x + y ≥ 150,

  x + y ≤ 15

• 1.25x + y ≤ 150,

  x + y ≤ 10

The pep squad of 72nd Classical Middle School needs new skirts and shoes for an upcoming competition. A skirt cost 25 dollars and a pair of shoes costs 30 dollars. The squad has a total funding of 450 dollars. If x represents the number of skirts and y represents the number of shoes, which inequality models this situation?

• 25x + 30y > 450
• 25x - 30y ≤ 450
• 25x + 30y ≥ 450
• 25x + 30y ≤ 450

A system of equations is shown. What is the x-value of the solution to the system of equations?

• -15

• 10

• -10

• 15

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Kris works part time at a fast food and earns 11 dollars per hour. He also mows lawns and earns 10 dollars per hour. Kris plans to save more than 200 dollars and to work for at most 30 hours in a month. Which graph represents this situation?

• C
• A
• B
• D

Linda sells anime stickers as a hobby. The Attack on Titan (AOT) stickers cost 2.50 dollars each while the Jujustu Kaisen (JJK) ones are 3.00. James, Linda's classmate plans to spend less than 70 dollars and wants to order a total of at least 10 stickers. If x represents the number of AOT stickers while y represents the JJK stickers, which inequalities give the possible number of stickers so James can stay within budget.

• x + y > 10

• x + y ≥ 10

• x + y ≤ 10

• 2.50x + 3y ≤ 70

• 2.50x + 3y < 70