Lelfy

Linear Functions Quiz

Linear Functions: ten questions on slopes, intercepts, and equations. Includes calculations; answers explained.

Free, with no sign-up.

ByLelfy Editorial Team

For High school students and adults reviewing the topic.

About 11 minutes. 10 questions.

How does it work?

  1. Choose one answer or enter a number in the stated unit, then check it.
  2. Read the explanation before continuing.
  3. Round only the final answer to the precision requested.

What will you get?

See your score and review the reasoning behind each answer.

Question 1A tank holds 450 L at hour 1 and 210 L at hour 4. Find its constant rate of change in L/h, rounded to two decimals.

Answers within 0.005 L/h of the expected value are accepted.

Question 2A service costs $93 for 3 hours and increases by $21 per hour. Find the fixed fee in dollars, rounded to two decimals.

Answers within 0.005 dollars of the expected value are accepted.

Question 3A rental costs C = 7h + 26 dollars after h hours. Find the bill for 6 hours in dollars, rounded to two decimals.

Answers within 0.005 dollars of the expected value are accepted.

Question 4A reservoir model is V = 780 − 65t, with V in L and t in hours. When does it reach zero? Give hours to two decimals.

Answers within 0.005 h of the expected value are accepted.

Question 5A steady filling process has V − 35 = 9(t − 2), with V in L and t in minutes. Find V at 5 minutes in L, rounded to two decimals.

Answers within 0.005 L of the expected value are accepted.

Question 6For a line through (−3, 8) and (5, −12), find the slope as a number with no unit, rounded to two decimals.

Answers within 0.005 of the expected value are accepted.

Question 7Which equation passes through (1, 5) and (4, 14)?
Question 8A tank starts with 40 L and drains at 2 L/min. With x in minutes and y in liters, which equation models its volume before it empties?
Question 9Which equation represents a line through (2, 11) with slope 4?
Question 10Which equation matches the constant outputs 6 at x = −2 and 6 at x = 3?

Answer every question to see and share your score.

Read the topic guide