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General Information

Related Standards: MAFS.7.EE.2.4
Reporting Category: Expressions & Equations
Type: GRID: Graphic Response Item Display
Difficulty: N/A
Question:

This question has three parts.

Vanessa has added 40 gallons of water to her new fish pond in her backyard and wants to add more water. Her pond can hold a maximum of 256 gallons. Her garden hose can add 48 gallons of water in 2 minutes.

Part A. Create an inequality to represent the number of minutes, m, Vanessa could run the garden hose to add more water to the pond without adding the maximum amount in case of rain.

Part B. Drag the appropriate arrow and circle to the number line to graph the solution to the inequality from Part A.

Part C. Select all the amounts of time, in minutes, that Vanessa could leave the house running.

 

Answer Options:

Part C

 

A. 7 minutes

B. 7.5 minutes

C. 9 minutes

D. 9.75 minutes

E. 10.3 minutes

F. 12 minutes



 


Aligned Standards

Code Description
MAFS.7.EE.2.4: Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.
  1. Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?
  2. Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.



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