Reasoning with Equations and Inequalities

Name______Date______Class______

Reasoning with Equations and Inequalities

Test Form B

Holt McDougalCoordinate Algebra

Name______Date______Class______

Select the best answer.

1.Solve 

A8C6

B6D8

2.Solve a 7  2a 8.

F3H5

GJ15

3.The average of two tests must be 92 or higher to get an A in class. Bryce got
an 86 on the first test. Which inequality represents the score he must receive on his second test to get an A in the class?

A86  92C 92

B86  92D 92

4.Which is the graph of 5h 3 7?

5.Solve m4m 15.

Am5Cm 3

Bm5Dm 3

6.Solve 3(1 h)  3h 9.

Fh 1Hno solutions

Gh 2Jall real numbers

7.Solve s s 8.

As 4Cs 12

Bs 8Ds 16

8.Jasmine and her sister are saving to
buy MP3 players. Jasmine has $50 and plans to save $10 per week. Her sister has $80 and plans to save $7 per week. In how many weeks will Jasmine have more money saved than her sister?

F2 weeksH10 weeks

G4 weeksJ11 weeks

9.Solve by elimination.

A(1, 2)C(1, 4)

B(1, 4)D(1, 2)

10.Joe spent $7.75 to purchase 23 snacks for the club meeting. Chips are $0.25 and pretzels are $0.50. How many of each type of snack did Joe buy?

F8 bags of chips; 15 bags of pretzels

G15 bags of chips; 8 bags of pretzels

H11 bags of chips; 12 bags of pretzels

J12 bags of chips; 11 bags of pretzels

11.Which is true about the equations of a linear system if the system is classified as inconsistent?

ATheir slopes are the same, but their y-intercepts are different.

BTheir slopes are different, but their
y-intercepts are the same.

CTheir slopes are different, and their
y-intercepts are different.

DTheir slopes are the same, and their
y-intercepts are the same.

12.How many solutions does the system
have?

FnoneHexactly two

Gexactly oneJinfinitely many

Holt McDougalCoordinate Algebra

Name______Date______Class______

Holt McDougalCoordinate Algebra

Name______Date______Class______

Reasoning with Equations and Inequalities

Test Form Bcontinued

Holt McDougalCoordinate Algebra

Name______Date______Class______

13.Solve S(ab)for b.

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Solve each inequality and graph the solutions.

14.5 x 31

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15.a 5

______

Solve each inequality.

16.3(x 1) 3x 2

______

17.x1

______

18.Perfect Pipes charges $120 plus $40 an hour to make plumbing repairs. No Leaks Here charges $50 plus $60 an hour. For how many hours is Perfect Pipes less expensive than No Leaks Here?

______

19.Classify .

______

20.Solve by graphing.

______

21.Solve by substitution: .

______

22.Solve by elimination: .

______

23.A farmer has 165 feet of fencing material in which to enclose a rectangular grazing area. He wants the length x to be greater than 50 feet and the width y to be no more than 20 feet. Write a system to represent this situation.

Holt McDougalCoordinate Algebra

Name______Date______Class______

Reasoning with Equations and Inequalities

Answersinconsistent

Unit Test Form B

1.D2.H

3.D4.F

5.C6.J

7.D8.J

9.B10.G

11.A12.J

13.ba

14.x26

15.a6

16.all real numbers

17.x ≤ 1

18.greater than 3.5 hours

19.inconsistent

20.(1, 3)

21.(3, 11)22.(6, 7)

23.

Holt McDougalCoordinate Algebra