Module 5 Practice Quiz 1 - Lessons 5.1-5.3

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5.1 — Recognizing Linear Functions

Question 1 of 20

Which statement describes a linear function?

Its graph is a curve that bends upward Its graph is a non-vertical straight line, and a constant change in x gives a constant change in y Its graph is a vertical line Its y-values double each time x goes up by 1

Question 2 of 20

A table shows:
x: −1, 0, 2, 3, 4
y: −5, 0, 5, 10, 15
A student says it is linear because y always goes up by 5. What is the error?

There is no error — it is linear The x-values do not change by a constant amount (0 to 2 is a jump of 2), so y should have changed by 10 there Linear functions cannot have negative values The y-values should go up by 1

5.1 — Standard Form Ax + By = C

Question 3 of 20

Is x + y² = 1 linear?

No — y is squared Yes — A = 1 and B = 1 Yes — it has two variables No — C must be 0

Question 4 of 20

In standard form Ax + By = C, if A = 0 (example: 0x + 2y = 8), what does the graph look like?

A vertical line A line through the origin A horizontal line A curve

5.1 — Discrete vs. Continuous & Modeling

Question 5 of 20

Anna pays the airport $35 for each ticket sold: f(x) = 35x. How much does she pay for 4 tickets?

Answer:

Question 6 of 20

Jordan’s dog-walking profits are $150, $300, $450, $600 after weeks 1–4. If the pattern continues, what is his profit after week 9?

Answer:

5.2 — Finding Intercepts

Question 7 of 20

Find the x-intercept of 3x − 2y = 6.

Answer:

Question 8 of 20

Find the x-intercept of 8x + 7y = 28. (Decimal or fraction is fine.)

Answer:

Question 9 of 20

The point (5, 0) is on a graph. Is it the y-intercept?

Yes — the y-intercept is 5 No — y = 0 there, so it is on the x-axis: the x-intercept is 5 Yes — any point with a 0 is an intercept No — intercepts can’t be positive

5.2 — Interpreting Intercepts

Question 10 of 20

The Sandia Peak tram’s distance from the peak is f(x) = 4500 − 300x (x in minutes). How many minutes does it take to reach the peak?

Answer:

Question 11 of 20

Kim owes her friend $245 and pays $35 per week: f(x) = 245 − 35x. How many weeks until she is paid off?

Answer:

5.2 — Graphing with Intercepts

Question 12 of 20

Find the x-intercept of 18y = 12x + 108.

Answer:

5.3 — Rate of Change & Slope

Question 13 of 20

Postage table — Years after 2000 (x): 3, 4, 6, 8, 13 | Cost in cents (y): 37, 37, 39, 42, 46.
What is the rate of change from 2003 to 2004?

Answer:

Question 14 of 20

Find the slope of the line.

Answer:

Question 15 of 20

Use the slope formula to find the slope through (2, −2) and (5, 7).

Answer:

Question 16 of 20

A table shows x: 3, 3, 3, 3 and y: 2, 4, 6, 8. What is the slope of the line?

Undefined — it is a vertical line 0 — it is a horizontal line 2 ½

Question 17 of 20

A plant’s height (cm) after x days is linear. The points (30, 15) and (40, 25) are on the line. What is the slope (cm per day)?

Answer:

Question 18 of 20

A graph converts temperature: (50 °F, 10 °C) and (77 °F, 25 °C). What is the slope? (Fraction is fine.)

Answer:

Question 19 of 20

A heart-rate graph passes through (20, 180) and (50, 150) (age, max beats/min). What does the slope mean?

Max heart rate goes up 1 beat/min each year Max heart rate goes down 1 beat/min each year of age Max heart rate goes down 30 beats/min each year A 50-year-old has a max of 1 beat/min

Question 20 of 20

A staircase has 10-inch treads (run) and 7.75-inch risers (rise). What is the slope?

Answer:

Practice Quiz 1 of 4