This 45-minute test covers independent and dependent variables, equations, tables, and graphs (6.EE.C.9). It has 9 questions worth 20 points. Show your work for each question, and label axes on any graph you draw.
- Grade: Grade 6
- Chapter: Dependent and Independent Variables
- Common Core: 6.EE.C.9
- Time: 45 minutes
- Total: 20 points (Question 1: 2 pts; Question 2: 2 pts; Question 3: 2 pts; Question 4: 2 pts; Question 5: 3 pts; Question 6: 3 pts; Question 7: 2 pts; Question 8: 2 pts; Question 9: 2 pts)
Question 1: Identifying Variables (2 points)
Maya buys pounds of apples at the farmers market and pays a total cost that depends on the weight.
- Name the independent variable. (1 point)
- Name the dependent variable. (1 point)
Question 2: Variables in an Equation (2 points)
The equation \(p = 15h\) gives the pay \(p\) in dollars for \(h\) hours of work.
- Which variable is independent? (1 point)
- Which variable is dependent? (1 point)
Question 3: Writing an Equation (2 points)
A car travels at a steady \(55\) miles per hour. Let \(t\) be the time in hours and \(d\) the distance in miles.
- Write an equation for the distance. (1 point)
- Find the distance after 4 hours. (1 point)
Question 4: Completing a Table (2 points)
Complete the table for \(y = x + 9\). (1 point for the first two values, 1 point for the last two)
| \(x\) | 1 | 4 | 7 | 10 |
|---|---|---|---|---|
| \(y\) | ___ | ___ | ___ | ___ |
Question 5: Equation from a Table (3 points)
The table shows the cost y, in dollars, of x movie snack packs.
| \(x\) | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| \(y\) | 6 | 12 | 18 | 24 |
- Write an equation for y in terms of x. (1 point)
- Name the independent variable. (1 point)
- Use your equation to find \(y\) when \(x = 9\). (1 point)
Question 6: Reading a Graph (3 points)
The graph shows the total cost c, in dollars, of t movie tickets.
- Find the cost of 3 tickets. (1 point)
- Find the number of tickets that cost $24. (1 point)
- Write an equation for c in terms of t. (1 point)
Question 7: Plotting Points (2 points)
The table shows the distance \(d\), in miles, that Noah walks in \(t\) hours.
| \(t\) | 0 | 1 | 2 | 3 |
|---|---|---|---|---|
| \(d\) | 0 | 5 | 10 | 15 |
Plot the four points on the grid and label the axes. (2 points)
Question 8: Saving Money (2 points)
Diego saves $5 each week and starts with $0. Let \(w\) be the number of weeks and \(s\) the dollars saved.
- Write an equation for s in terms of w. (1 point)
- Find the number of weeks needed to save $65. (1 point)
Question 9: Explaining Variables (2 points)
Liam says that in \(d = 65t\), the variable \(d\) is the independent variable because it is the answer. Decide whether he is correct and explain.
See every chapter on the Grade 6 math page.