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Laabri

Linear Functions and Inequalities Review

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Last updated about 4 years ago
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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

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
5.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
9.

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

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10.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
11.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
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.

Asemmisa {{asɛmmisaAhyɛnsode}}
13.

Match the standard form inequality to its graph.

Draggable itemarrow_right_altCorresponding Item

6x - 3y > 2

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3x + 2y < 6

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-2x + 4y > 8

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7x + 7y ≤ -21

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Asemmisa {{asɛmmisaAhyɛnsode}}
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

  • (0, 0)

  • (-3, -5)

  • (-2, -2)

  • (1, 6)

  • (2, 5)

  • (-3, -3)

  • (0, 3)

  • (-2, 5)

  • Solution

  • Not a Solution