MSTAR Practice Worksheet

Lesson 9-3: Write Equations to Represent Relationships Between Two Variables

Grade 6 Mathematics · Standard 6.AT.11

Name: Date:

These are MSTAR-style questions written for this curriculum to rehearse the format. They are not official Maryland assessment items. MSTAR — Maryland's new state test, first given in spring 2027 — uses the same kinds of questions you see here: selected response, select-all, two-part evidence questions, and written responses.

Part A — Skills Check

Warm up with the lesson's core skills — one best answer each.

Question 1Selected response · 1 point

Recreation World charges $24.95 per month. What is the total cost of 2 months of membership?

A$24.95
B$26.95
C$49.90
D$74.85

Question 2Selected response · 1 point

In the equation c = 24.95m for the gym membership, what does m represent?

AThe number of months of membership
BThe total cost in dollars
CThe monthly fee of $24.95
DThe name of the gym

Question 3Selected response · 1 point

A canoe rents for $15 per hour. Let h = hours and c = total cost. Which equation represents the relationship?

Ac = 15h
Bc = 15 + h
Ch = 15c
Dc = h − 15

Question 4Selected response · 1 point

Using c = 15h, what is the total cost of a 3-hour canoe rental?

A$15
B$18
C$45
D$75

Question 5Selected response · 1 point

In the gym membership situation, which quantity is the DEPENDENT variable?

AThe number of months
BThe total cost
CThe monthly fee of $24.95
DThe number of gyms in town

Question 6Selected response · 1 point

The membership table shows: 1 month, $24.95; 2 months, $49.90; 3 months, $74.85. By how much does the total cost increase each month?

A$24.05
B$24.95
C$25.00
D$49.90

Part B — Test-Format Questions

These match the state test's formats: two-part questions, select-all, and written responses.

Question 7Two-part question

Part A

A spin studio charges $7.50 for each class. Let n be the number of classes a member takes and let c be the total cost in dollars. Which equation represents the relationship?

Fill in the bubble next to the one best answer.

Ac = 7.5 + n
Bn = 7.5c
Cc = n ÷ 7.5
Dc = 7.5n

Part B

Answer Part A before Part B — Part B asks about your reasoning.

Which reasoning justifies the equation chosen in Part A?

AThe number of classes is added to the price of one class, so 4 classes cost 7.5 + 4 = $11.50.
BThe number of classes depends on the cost, so the classes belong alone on the left side of the equation.
CThe $7.50 is shared among the classes, so 4 classes cost 7.5 ÷ 4 = $1.875 each.
DThe $7.50 is charged for every single class, so the total is 7.5 times the classes; 4 classes cost 7.5 × 4 = $30.

Question 8Select all that apply

A community pool charges $9 for each hour of lane rental. Let h be the number of hours rented and let c be the total cost in dollars. Select ALL statements that correctly represent this relationship.

Mark the box next to EVERY answer that is true. More than one is correct.

Ac = 9h
Bh = 9c
CThe total cost is 9 times the number of hours rented.
Dc = 9 + h
EIn the equation, h stands for the number of hours rented and c stands for the total cost in dollars.
FIn the equation, c stands for the $9 charged for each hour.