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2-2 Practice: Linear Relations and Functions

This document contains practice problems related to linear functions and equations. It asks the student to identify whether functions are linear, write equations in standard form, find intercepts, graph linear equations, and solve word problems involving linear functions.

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Catalina
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5K views1 page

2-2 Practice: Linear Relations and Functions

This document contains practice problems related to linear functions and equations. It asks the student to identify whether functions are linear, write equations in standard form, find intercepts, graph linear equations, and solve word problems involving linear functions.

Uploaded by

Catalina
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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NAME _____________________________________________ DATE ____________________________ PERIOD _____________

2-2 Practice
Linear Relations and Functions
State whether each function is a linear function. Write yes or no. Explain.
2
1. h(x) = 23 yes, it is in the form of mx plus b 2. y = 𝑥 yes, it is in the form mx plus b
3

5
3. y = 𝑥 no, because a number is divided by a variable 4. 9 – 5xy = 2 no because two variables are being multiplied together

Write each equation in standard form. Identify A, B, and C.


3
5. y = 7x – 5 5 =7x-y A:7 B: -1 C:5 6. y = 8 𝑥 + 5 -40 =3x-8y A:3 B:-8 C:-40

2 3
7. 3y – 5 = 0 3y =5 A:0 B:3 C:5 8. x = − 𝑦 + 3/4 = x + 2/7y A: 1 B:2/7 C:3/4
7 4

Find the x-intercept and the y-intercept of the graph of each equation. Then graph the equation using the
intercepts.
9. y = 2x + 4 10. 2x + 7y = 14

x intercpt: -2 x intercpt: 7
y intercept: 4 y intercept: 2

11. y = –2x – 4 12. 6x + 2y = 6

x intercpt: -2 x intercpt: 1
y intercept: -4 y intercept: 3

13. MEASURE The equation y = 2.54x gives the length y in centimeters corresponding to a length x in inches. What is
the length in centimeters of a 1-foot ruler?

14. LONG DISTANCE For Meg’s long-distance calling plan, the monthly cost C in dollars is given by the linear
function C(t) = 6 + 0.05t, where t is the number of minutes talked.

a. What is the total cost of talking 8 hours? of talking 20 hours? C(8 hours) = $32 C(20 hours) = $66

b. What is the effective cost per minute (the total cost divided by the number of minutes talked) of talking 8 hours? of
talking 20 hours?

8 hours: $0.06 20 hours: $0.55

Chapter 2 14 Glencoe Algebra 2

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