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Practice

2.13.6 Practice

2.13.6 • Practice

Complete the following questions to practice the skills you have learned in this lesson.

This year, students in the 9th grade are collecting dimes and quarters for a school fundraiser. They are trying to collect more money than the students who were in the 9th grade last year. The students in 9th grade last year collected $143.88.

  1. Using d to represent the number of dimes collected and q to represent the number of quarters, which statement best represents this situation?
  1. 0.25 q + 0.1 d > 143.88
  2. 0.25 d + 0.1 q > 143.88
  3. 0.25 q + 0.1 d < 143.88
  4. 0.25 d + 0.1 q ≥ 143.88
  1. Which inequality is represented by the graph?

Inequality graphed on a coordinate plane, origin O. Each axis from negative 8 to 8, by 2’s. Dashed line goes through negative 2 comma negative 10, 0 comma negative 6, and 4 comma 2. The region below the dashed line is shaded.

  1. 4 x + 2 y < 12
  2. 4 x + 2 y > 12
  3. 4 x − 2 y < 12
  4. 4 x − 2 y > 12

For questions 3 – 4, use the scenario below to answer the questions:

A farmer is creating a budget for planting soybeans and wheat. Planting soybeans costs $200 per acre and planting wheat costs $500 per acre. He wants to spend no more than $100,000 planting soybeans and wheat.

  1. Let s represent the number of acres of soybeans and w represent the number of acres of wheat. Write an inequality to describe the situation.
  1. 200 s + 500 w > 100 , 000
  2. 200 s + 500 w ≤ 100 , 000
  3. 500 s + 200 w ≤ 100 , 000
  4. 500 s + 200 w < 100 , 000
  1. Name one solution to the inequality and explain what it represents in that situation.
  1. ( 300 , 90 )
  2. ( 170 , 140 )
  3. ( 250 , 100 )
  4. ( 200 , 130 )

For questions 5 – 7, use the passage below to answer the questions:

Amira is ordering dried chili peppers and corn husks for her cooking class. Chili peppers cost $16.95 per pound and corn husks cost $6.49 per pound.

Amira spends less than $50 on d pounds of dried chili peppers and h pounds of corn husks.

Here is a graph that represents this situation.

Inequality on grid.
  1. Write an inequality that represents this situation.
  1. 16.95 d + 6.49 h > 50
  2. 16.95 d + 6.49 h < 50
  3. 16.95 d − 6.49 h < 50
  4. 16.95 d + 6.49 h ≥ 50
  1. Can Amira purchase 2 pounds of dried chili peppers and 4 pounds of corn husks and spend less than $50? Be prepared to show your reasoning.
  1. Yes
  2. No
  1. Can Amira purchase 1.5 pounds of dried chili peppers and 3 pounds of corn husks and spend less than $50? Be prepared to show your reasoning.
  1. Yes
  2. No

For questions 8 – 10, use the scenario below to answer the questions:

A beach store rents surfboards for $15 per hour and beach umbrellas for $10 per hour. The store wants to make at least $200 per day on renting beach equipment. Let s be the number of hours that a surfboard is rented and u be the number of hours an umbrella is rented.

  1. Which inequality represents this situation?
  1. 15 s + 10 u < 200
  2. 15 s + 10 u ≥ 200
  3. 15 s + 10 u ≤ 200
  4. 15 s − 10 u ≥ 200
  1. Can the beach store rent surfboards for 7 total hours and rent umbrellas for 9 total hours and reach their goal of making $200? Be prepared to show your reasoning.
  1. Yes
  2. No
  1. Can the beach store rent surfboards for 10 total hours and rent umbrellas for 4 total hours and reach their goal of making $200? Be prepared to show your reasoning.
  1. Yes
  2. No
  1. Mariah has data in a table. Plot the data. Which inequality in two variables represents these ordered pairs as solutions?
x y
−4 7
−2 3
0 -1
2 -5
  1. y < − 2 x − 4
  2. y ≤ − 2 x − 4
  3. y > − 2 x − 4