2022-23 STANDARDS 1-3

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Given the absolute value function 𝑦 = |𝑥| − 5

describe the transformation of the vertex.

• The vertex moves right 5 units

• The vertex moves up 5 units

• The vertex moves down 5 units

• The vertex moves left 5 units

The length of a rectangle is four inches less than twice the width. If the

perimeter of the rectangle is 46 inches, what are the dimensions of the

rectangle?

• the length is 23 inches and the width is 2 inches

• the length is 15 inches and the width is 8 inches

• the length is 14 inches and the width is 9 inches

• the length is 12 inches and the width is 11 inches

Javier has $15 to spend at the bowling alley. It costs $3 to rent bowling shoes

and $4 per game of bowling. Write an inequality showing how many games

Javier can bowl. Let represent the number 𝑏 of games bowled.

• 7𝑏 ≤ 15

• 3𝑏 + 4 ≥ 15

• 3 + 4𝑏 ≤ 15

• 7 ≥ 15𝑏

Solve the system of equations.

8𝑥 + 𝑦 = 27

− 3𝑥 + 4𝑦 = 3

• (− 3, − 1. 5)

• (3, 3)

• (3, − 1. 5)

• (− 3, 51)

You can work no more than 20 hours total each week at your two jobs.

Walmart, w, pays $15 per hour and Burger King, b, pays $11 per hour. You need

to make at least $250 per week to pay for your bills. Which of the following

systems of inequalities could be used to find the number of hours you could work

at each job this week?

• 𝑤 + 𝑏 ≤ 250

  15𝑤 + 11𝑏 ≤ 20

• 𝑤 + 𝑏 ≤ 20

  15𝑤 + 11𝑏 ≥ 250

• 𝑤 + 𝑏 ≥ 20

  15𝑤 + 11𝑏 ≤ 250

• 𝑤 + 𝑏 ≥ 250

  15𝑤 + 11𝑏 ≥ 20

• -5

• 0

• 5

• 9

Caroline is building a patio in her backyard. She has enough lumber for her

patio to have an area of 140 square feet. The length should be 13 feet more

than its width. What should be the dimensions of the patio?

• Width= 9 feet, Length= 22 feet

• Width= 6 feet, Length= 19 feet

• Width= 10 feet, Length= 14 feet

• Width= 7 feet, Length= 20 feet