Question Icon

Hotmath Practice Problems

book image
Title:
Hotmath Algebra 1
Author:
Hotmath Team
 
Free, Lessons
Chapter:Relations and FunctionsSection:Linear Functions
 
Problem: 1

Graph the line represented by the given function.

g(x) = 3x – 4

Problem: 3

Graph the line represented by the given function.

f(x) = 5x + 2

Problem: 5

Graph the line represented by the given function.

h(x) = –x + 5

Problem: 7

Graph the line represented by the given function.

f(x) = –5x – 3

Problem: 9

Graph the line represented by the given function.

Problem: 11

Find the slope of the graph of the line whose function f satisfies f(3) = –2 and f(5) = 7.

Problem: 13

Find the slope of the graph of the linear function f.

f(1) = 3,f(3) = 1.

Problem: 15

Find the slope of the graph of the linear function f.

f(5) = –2,f(1) = 6.

Problem: 17

Find the slope of the graph of the linear function f.

f(–3) = 6,f(3) = –5.

Problem: 19

A rental car company charges $42 per day and 23 per mile.

Write a function to represent the situation, and find out how much is charged for a one–day, 350–mile trip.

Problem: 21

A phone company charges a certain base amount every month, plus 21 per call unit. Mrs. Uffington's January bill is for $22, and she used 70 call units. If she uses 80 call units in February, write a function to represent the situation, and find her February bill amount.

Problem: 23

You can rent an electricity generator for $4.80 per hour plus $100.00 for a full tank of petrol.

Write a function to represent the situation. How much does it cost to rent the generator for 6.7 hours?

Time = 6.7 hours

Problem: 25

A 50 cm spring will stretch one–seventh the weight (in kg) attached to it. Write a function to represent the situation, and find the length of the spring if it holds a 42–kg weight.