Grade 8 Mathematics Quiz: Slope and Rate of Change

Finding slope from a graph: What is the slope of the line shown in the graph?

• undefined

• 1/2

• -1/2

• 0

Finding slope from a graph: Determine the slope of the line represented in the graph.

• undefined

• 0

• 2/3

• -2/3

Finding slope from two points: Calculate the slope of the line passing through the points (3, 5) and (7, 9).

• 1

• 4

• 10

• 2

Finding slope from two points: Find the slope of the line that passes through the points (-2, 4) and (1, 7).

• 3

• 2

• 0

• 5

Rate of change: What is the rate of change if y increases by 4 when x increases by 2?

• 2

• 1

• 5

• 3

Rate of change: Determine the rate of change if y decreases by 6 when x increases by 3.

• 4

• 0

• 10

• -2

Interpreting slope: What does a negative slope indicate in a real-world scenario?

• A negative slope indicates an increase in the dependent variable as the independent variable increases.

• A negative slope indicates a constant value of the dependent variable regardless of the independent variable.

• A negative slope indicates a decrease in the dependent variable as the independent variable increases.

• A negative slope indicates no relationship between the dependent and independent variables.

Interpreting slope: Explain the meaning of a slope of 0 in the context of a problem.

• The dependent variable increases at a constant rate as the independent variable increases.

• The dependent variable decreases as the independent variable increases.

• The dependent variable increases as the independent variable increases.

• The dependent variable does not change as the independent variable changes.

Identifying rate of change: Identify the rate of change in the situation where the cost increases by $20 for every 5 units purchased.

• $10 per unit

• $5 per unit

• $4 per unit

• $15 per unit

Identifying rate of change: Find the rate of change when the distance traveled is 120 miles in 3 hours.

• 30 miles per hour

• 50 miles per hour

• 40 miles per hour

• 25 miles per hour