Solving Absolute-Value Equations

Name______Date______Class______

Practice A

Solving Absolute-Value Equations

Fill in the blanks to solve each equation.

2-1Holt McDougal Algebra 1

Name______Date______Class______

1. 3 52. 73.5 30

____ 3Case 1 Case 2____

____x 4 = ____ x 4 = ____Case 1 Case 2

Case 1 Case 2____ ____ ____ ____x 1 = ____ x 1 = ____

x = ____ x = ____x = ____ x = ____x = ____ x = ____

2-1Holt McDougal Algebra 1

Name______Date______Class______

Solve each equation.

4. 85. 146. 6  3

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7. 7  108. 99. 6

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10.3 1511.4 2012. 2  8

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Troy’s car can go 24 miles on one gallon of gasoline. However, his gas mileage can vary from this value by 2 miles per gallon depending on where he drives.

13.Write an absolute-value equation that you can use to find the minimum and maximum gas mileage.

______

14.Solve the equation to find the minimum and maximum gas mileage.

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2-1Holt McDougal Algebra 1

Practice C

1.w2.vfatvi

3.f4.a 12  5b

5.x6.h

7.rs(t 9)8.n

9.a. a10.a. t

b. 19 m/s2b. 8 years

Review for Mastery

1.s2.b 180 a – c

3.K4.w

5.12 in.

6.add –x to both sides

7.multiply both sides by 2

8.add 3r to both sides

9.a10.z 3(yx)

11.mpn 3

Challenge

1.l 3752.P 2000

3.t 5 years

4.r 0.032 or 3.2%

5.$3516.3 years

7.$22008.0.03 or 3%

9.$24710.5 years

11.0.027 or 2.7%

Problem Solving

1.r2.9.1 m/s

3.8.5 m/s4.0.4 m/s

5.B6.F

7.D8.J

Reading Strategies

1.Possible answer: 3x 2y 9

2.The equation contains only one
variable, n.

3.Yes, because it has two or more variables.

4.Divide both sides by r.

5.t

6.a. h
b. 3 cm

LESSON 2-6

Practice A

1.3; 2; 2; 2

2.7; 7; 4; 4; 4; 4; 11; 3

3.6; 6; 6; 5; 7

4.{8, 8}5.{14, 14}

6.{9, 9}7.{17, 17}

8.{11, 7}9.{1, 11}

10.{5, 5}11.{7, 3}

12.{11, 9}

13.

14.22 miles per gallon; 26 miles per gallon

Practice B

1.{12, 12}

3.{10, 10}

4.{9, 9}

5.{8, 8}

6.{13, 7}

7.{1, 3}

8.{2, 8}

9.{14, 10}

10.{3, 3}

A18Holt McDougal Algebra 1