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Linear Functions and Inequalities Review

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Last updated over 3 years ago
14 questions
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Question 1
1.

Lauren graphed the relationship between how many days had passed since she planted a cactus and its height (in centimeters).
What is the slope of the line in her graph?

Question 2
2.

Lauren graphed the relationship between how many days had passed since she planted a cactus and its height (in centimeters).
What does the slope mean in this situation?

Question 3
3.

Lauren graphed the relationship between how many days had passed since she planted a cactus and its height (in centimeters).
What is the y-intercept and what does it mean in this situation?

Question 4
4.

Lauren graphed the relationship between how many days had passed since she planted a cactus and its height (in centimeters).
Lauren wanted to set a domain for the function. What should be the minimum x value?

Question 5
5.

What is the slope of the line 14x + 2y = 28?

Question 6
6.

What is the y-intercept of the line 14x + 2y = 28?

Question 7
7.

A plumber charges $25 for a service call plus $50 per hour of service. f(x) = 50x + 25 represents his total fee. What does x represent in this scenario?

Question 8
8.

If the reciprocal formula of an arithmetic sequence is represented by a(n) = a(n - 1) + d, then what is the reciprocal formula of the table below?

Question 9
9.

What does the question mark need to be for this table to represent a function?

Question 10
10.

Write a function that represents the total cost renting a canoe, f(x), in terms of the number of hours rented, x.

Question 11
11.

How much would it cost to rent the canoe for 10 hours?

Question 12
12.

The first term in an arithmetic sequence is 16. The second term in the sequence is 11. The tenth term in the sequence is -29.
Write a formula to represent this sequence in slope-intercept form.

Question 13
13.

Match the standard form inequality to its graph.

Draggable itemarrow_right_altCorresponding Item
-2x + 4y > 8
arrow_right_alt

6x - 3y > 2
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7x + 7y ≤ -21
arrow_right_alt
3x + 2y < 6
arrow_right_alt
Question 14
14.

Sort the points based on whether or not they are solutions to the inequality y < 2x + 3 which is shown in the graph below

  • (-2, -2)
  • (-3, -5)
  • (0, 3)
  • (1, 6)
  • (2, 5)
  • (-2, 5)
  • (0, 0)
  • (-3, -3)
  • Solution
  • Not a Solution
If you have finished the entire review and still need practice, try this problem set: https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:linear-equations-graphs/x2f8bb11595b61c86:applying-intercepts-and-slope/e/interpreting-linear-graphs