Linear Equations And Inequalities In One Variable Worksheet With Answer Key printable pdf download

Linear Equations And Inequalities In One Variable Worksheet With Answer Key

120

(2-56)

Chapter 2 Linear Equations and Inequalities in One Variable

F I G U R E F O R E X E R C I S E 8 3

84. Building a ski ramp. Write an inequality in the variable x

for the degree measure of the smallest angle of the triangle

shown in the ﬁgure, given that the degree measure of the

smallest angle is at most 30°.

180

F I G U R E F O R E X E R C I S E 8 6

F I G U R E F O R E X E R C I S E 8 4

where N is the number of teeth on the chainring (by the

85. Maximum girth. United Parcel Service deﬁnes the girth of

pedal), n is the number of teeth on the cog (by the wheel),

a box as the sum of the length, twice the width, and twice

and w is the wheel diameter in inches (Cycling, Burkett and

the height. The maximum girth that UPS will ship is 130 in.

Darst). The following chart gives uses for the various gear

If a box has a length of 45 in. and a width of 30 in., then

ratios.

what inequality must be satisﬁed by the height?

2(30)

130

Ratio

Use

86. Batting average. At one point during the 1997 season, Jay

hard pedaling on

level ground

Lopez of the Atlanta Braves had 93 hits in 317 times at bat

for an average of 93 317 or 0.293. If he gets x hits in the

90 moderate effort on

level ground

next 20 times at bat to get his average over 0.300, then what

70 mild hill climbing

inequality must x satisfy?

0.300

317

50 long hill climbing

Solve.

with load

87. Bicycle gear ratios. The gear ratio r for a bicycle is deﬁned

A bicycle with a 27-inch diameter wheel has 50 teeth on the

by the formula

chainring and 17 teeth on the cog. Find the gear ratio and

indicate what this gear ratio is good for.

79, moderate effort on level ground

S O L V I N G I N E Q U A L I T I E S A N D

I n t h i s

2.9

A P P L I C A T I O N S

s e c t i o n

To solve equations, we write a sequence of equivalent equations that ends in a very

Rules for Inequalities

simple equation whose solution is obvious. In this section you will learn that the

Solving Inequalities

procedure for solving inequalities is the same. However, the rules for performing

operations on each side of an inequality are slightly different from the rules for

Applications of Inequalities

equations.

Linear Equations And Inequalities In One Variable Worksheet With Answer Key

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