Worksheet

Makerspace Loans: Tables, Equations, and Graphs

Connect changing quantities in a library makerspace using two-variable equations, tables, and graphs.

Grade 6MathInteractive · Printable

Aligned to6.EE.C.9

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What’s included

Single worksheet
Auto-graded online
1 Common Core standard
Printable answer key
13 questions
Classroom-ready

Details

Format: Interactive · Printable
Grade: Grade 6
Subject: Math
Question types: Fill in the blank, Multiple choice, Short answer, Drawing

About this worksheet

What students practice

Students identify independent and dependent variables in makerspace lending situations.
Students write equations linking two changing quantities.
Students connect two-variable equations to tables and coordinate graphs.

How to use

Have students work through each lending situation and label units carefully. Discuss how a table row and a graph point represent the same pair of quantities.

Curriculum

Common Core standard covered

6.EE.C.9

Use two variables for quantities that change together, write an equation linking them, and connect it to tables and graphs.

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Name Date

Makerspace Loans: Tables, Equations, and Graphs

Model how quantities change in a library makerspace.

Repair Kit Loans

Each repair kit contains 3 tools. Use x for the number of kits borrowed and y for the total number of tools borrowed.

A librarian chooses how many kits to lend. Which statement identifies the variables correctly?

A. The number of tools is independent; the number of kits is dependent.
B. The number of kits is independent; the number of tools is dependent.
C. The number of kits and the number of tools are both independent.
D. The number of kits and the number of tools are both fixed.

Which equation gives the total number of tools borrowed?

A. y = x + 3
B. y = x ÷ 3
C. y = 3x
D. x = 3y

Complete the missing value in the lending table.

Repair Kit Loans
Kits, x	Tools, y
0	0
2	6
5	?
8	24

When x = 5, y = tools.

Noor borrows repair kits containing a total of 21 tools. Every kit is complete.

How many kits does Noor borrow? kits

A graph places kits, x, on the horizontal axis and tools, y, on the vertical axis. Which point represents borrowing 4 kits?

A. (4, 12)
B. (3, 12)
C. (12, 4)
D. (4, 7)

Chargers on the Shelf

The makerspace starts with 10 chargers. Each checkout lends 2 chargers, and none are returned during this period. Let x be the number of checkouts and y be the number of chargers left.

Which equation matches the charger graph?

A. y = 10 + 2x
B. y = 2x
C. y = 10 − x
D. y = 10 − 2x

Use the charger graph. A librarian needs at least 4 chargers to remain on the shelf.

What is the greatest number of checkouts that can occur? checkouts

Eli says point C means that 6 checkouts have occurred and 2 chargers remain. Explain the error and state what point C actually means.

On another day, the makerspace starts with 14 chargers and still lends 2 per checkout. Which equation models this new situation using the same variable meanings?

A. y = 14 − 2x
B. y = 14 + 2x
C. y = 10 − 14x
D. y = 2 − 14x

Packing Equipment Loans

A tool loan needs 2 labels for its case plus 1 label for each tool inside. Let x be the number of tools in a loan and y be the total number of labels needed.

10.

Which equation links the number of tools to the total number of labels?