Evaluating Absolute Values and Piecewise Functions

Evaluating Absolute Values and Piecewise Functions

9th Grade

10 Qs

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Evaluating Absolute Values and Piecewise Functions

Evaluating Absolute Values and Piecewise Functions

Assessment

Quiz

English, Mathematics

9th Grade

Practice Problem

Hard

CCSS
HSF.IF.A.2

Standards-aligned

Created by

Anthony Clark

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

1. A temperature is recorded as -5 degrees Celsius. If the temperature rises by an absolute value of x degrees, what is the range of possible temperatures? Solve the inequality |x| < 10.

[-15, 5]

[-5, 15]

[-10, 10]

[-20, 0]

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

2. A piecewise function f(x) is defined as follows: f(x) = { 2x + 3, if x < 0; 5, if 0 ≤ x ≤ 2; x^2, if x > 2 }. What is f(-2)?

4

0

1

-1

Tags

CCSS.HSF.IF.A.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

3. A car's speed is represented by the absolute value inequality |s - 60| ≤ 10, where s is the speed in miles per hour. What is the range of speeds the car can travel?

40 ≤ s ≤ 60

30 ≤ s ≤ 50

60 ≤ s ≤ 80

50 ≤ s ≤ 70

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

4. Evaluate the piecewise function g(x) = { x + 4, if x < 1; 3x - 1, if 1 ≤ x < 3; 2, if x ≥ 3 } at x = 2.

5

4

7

6

Tags

CCSS.HSF.IF.A.2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

5. A store has a sale where the price of an item is given by the piecewise function p(x) = { 50, if x < 5; 40, if 5 ≤ x < 10; 30, if x ≥ 10 }. What is the price if you buy 7 items?

250

280

300

350

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

6. Solve the absolute value inequality |3x - 12| > 6 and interpret the solution in the context of a distance problem.

x < 2 or x > 6

x < 0 or x > 8

2 < x < 6

x = 4

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

7. For the piecewise function h(x) = { x^2, if x < 0; 2x + 1, if 0 ≤ x < 4; 10, if x ≥ 4 }, find h(5).

10

5

8

12

Tags

CCSS.HSF.IF.A.2

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