Algebra, Unit 5 Quizizz

Rodrigo and Melissa went to the art supply store to buy drawing materials. Rodrigo bought 10 pencils and 7 felt-tip markers for a total of $19.00. Melissa bought 3 pencils and 5 felt-tip markers for a total of $10.05. Which of the following systems of equations could be used to determine the cost of one pencil, p, and one felt-tip marker, m?

• 17𝑝+8𝑚=29.05

  𝑝+𝑚=11

• 10𝑝+7𝑚=19.00

  3𝑝+5𝑚=10.05

• 10𝑝+3𝑚=19.00

  7𝑝+5𝑚=10.05

• 10𝑝+7𝑚=10.05

  3𝑝+5𝑚=19.00

A system is composed of 𝑓(𝑥), which is graphed below and 𝑔(𝑥) = −2𝑥 + 10. What is the solution to this system of equations?

• (4,9)

• (2,6)

• (-2,0)

• (-4,-3)

The tables below describes a system of two linear equations. Which of the following is represented by this table?

• 𝑥 − 2𝑦 = 1

  3𝑥 + 2𝑦 = 3

• 𝑥 − 2𝑦 = 2

  3𝑥 + 2𝑦 = 6

• 𝑥 + 2𝑦 = −1

  3𝑥 − 2𝑦 = −3

• 𝑥 + 2𝑦 = −2

  3𝑥 − 2𝑦 = −6

April and Bill went to the grocery store to buy chocolate bars. April bought 4 small chocolate bars and 6 large chocolate bars, while Bill bought 4 small chocolate bars and 3 large chocolate bars. If April paid $16.50 and Bill paid $11.25, what is the price of a single large chocolate bar?

Which region represents the solution to the system of linear inequalities? 𝑦 − 𝑥 < 1

𝑦 ≤ −2

• Region A

• Region B

• Region C

• Region D

In the laboratory setup, liquid slowly drains from one beaker while another beaker is gradually filled. The graph below shows the ounces of liquid, y, in each beaker over time, x. According to the graph, approximately how long will it take until the two beakers contain the same amount of water?

• 6.5 sec

• 11 sec

• 13 sec

• 15 sec

Kevin and Hannah are both saving money for a new television. Kevin has already saved $47 and plans to save $16 every week. Hannah has already saved $20 and plans to save $25 every week. The system of equations below shows the amount of money, m, Kevin and Hannah have saved after w weeks.

𝑚 = 16𝑤 + 47

𝑚 = 25𝑤 + 20

After how many weeks will Kevin and Hannah have the same amount of money saved?

Nancy has a rectangular garden with length l, width w, and a perimeter of 28 feet. The length of the rectangle is 2 less than 3 times the width. Choose the system of equations that can be solved to find l and w.

• 𝑤 = 2𝑤

  𝑙 = 𝑤 − 4

• w = 3𝑙 + 2

  2𝑙 + 2𝑤 = 28

• l + 𝑤 = 28

  𝑙 = 3𝑤 − 2

• 2𝑙 + 2𝑤 = 28

  𝑙 = 3𝑤 − 2

A system of equations is graphed below. What is the system of linear equations?

• 7𝑥 − 4𝑦 = 8

  4𝑥 − 7𝑦 = 28

• 7𝑥 + 4𝑦 = −8

  4𝑥 + 7𝑦 = −28

• 7𝑥 − 4𝑦 = −8

  4𝑥 − 7𝑦 = −28

• 7𝑥 + 4𝑦 = 8

  4𝑥 + 7𝑦 = 28

Dejan was asked to solve the following system of linear equations on an algebra exam.

3𝑥 + 8𝑦 = 39

6𝑥 + 16𝑦 = 68

He had a difficult time finding a solution, so he incorrectly guessed (0, 0) before turning in his exam. What is the correct answer to the question?

• (2,0)

• (0,2)

• Infinitely Many

• No solution