Systems of Equations & Inequalities - Multiple Choice Practice

At a local high school, a student ticket to a soccer game costs $5 and an adult ticket to a soccer game costs $10. For one soccer game, the amount earned on ticket sales was $1430. Let x represent the number of student tickets sold and y represent the number of adult tickets sold. Which graph represents this situation?

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Tags

CCSS.8.EE.B.5

Samuel pays $59.99 plus $0.25 for each minute over 450 minutes for his mobile phone plan. Monica pays $64.99 plus $0.10 for each minute over 450 minutes for her mobile phone plan. Which system of equations represents this situation? Let x be the number of minutes over 450.

• y = 59.99x + 0.10

  y = 64.99x + 0.25

• y = 59.99x + 0.25

  y = 64.99x + 0.10

• y = 59.99 + 0.10x

  y = 64.99 + 0.25x

• y = 59.99 + 0.25x

  y = 64.99 + 0.10x

Tags

CCSS.HSA.CED.A.3

Solve this system of equations.

3x + 4y = 18

6x − 2y = 6

• (2, 3)

• (3, 2)

• (−2, −3)

• (−3, −2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Jonathan and Raymond receive a basic salary plus commission. - Jonathan earns $1500 plus 10% of his monthly sales. - Raymond earns $1200 plus 15% of his monthly sales. How much do Jonathan and Raymond need to sell to earn the same amount of money each month?

• $60

• $6000

• $21,000

• $54,000

Tags

CCSS.8.EE.C.8C

Solve this system of equations.

0.2x + 0.6y = 3.6

0.4x - 0.9y = -1.2

• (-4, 6)

• (-6, 4)

• (4, 6)

• (6, 4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which of the following points is a solution to the plotted system of linear equations?

• (6, 0)

• (5, 25)

• (2, 100)

• (4, 50)

Tags

CCSS.8.EE.C.8B

How many solutions does this system of equations have?

y = 7 - 4x

y = -2(2x + 4)

• 0

• 1

• 2

• Infinite

Tags

CCSS.8.EE.C.8B

A phone company has two long-distance calling plans. - The first plan is $25 per month for unlimited long-distance calls. - The second plan is $10 per month plus $0.05 per minute for each long-distance call. After how many minutes of long-distance calling does the first plan become cheaper?

• 100

• 150

• 300

• 500

Marli has $1200 in her savings account. She wants at least $y in her account by the end of the year. She withdraws $150 every month. Which inequality represents this situation, where x is the number of months?

• 1200 + 150x ≥ y

• 1200 + 150x ≤ y

• 1200 - 150x ≥ y

• 1200 - 150x ≤ y

Tags

CCSS.7.EE.B.4B

Curb Side Taxi charges a flat fee of $2.25 plus $0.50 for each mile. Taxi-4-You charges a flat fee of $1.25 plus $0.75 for each mile. Nicole has no more than y dollars to spend on the taxi ride. Which of the following system of inequalities can she use to determine the better option? Let x be the number of miles.

• y > 2.25x + 0.5

  y > 1.25x + 0.75

• y < 2.25 + 0.5x

  y < 1.25 + 0.75x

• y ≥ 2.25 + 0.5x

  y ≥ 1.25 + 0.75x

• y ≤ 2.25x + 0.5

  y ≤ 1.25x + 0.75