Reasoning with Equations and Inequalities

Name______Date______Class______

Reasoning with Equations and Inequalities

Form A

Holt McDougalCoordinate Algebra

Name______Date______Class______

Select the best answer.

1.A printing company will charge $6 plus $0.07 per page. Another company will charge $24 plus $0.04 per page for the same project. For how many pages will the costs be the same regardless of which company is used?

A330C600

B400D1000

2.Solve 10(x 1)  10  10x.

Fno solution

G1

Jall real numbers

3.Mrs. Nelson is buying folding chairs
that are on sale for $10. If she has $50, which inequality can be solved to show the number of chairs c she can buy?

A10c 50

B10c 50

4.Latisha is on page 30 of her book and reads 3 pages every night. Sal is on
page 40 of the same book and reads
2 pages every night. How long will it
take Latisha to be further in the book
than Sal?

F3 nightsH15 nights

G11 nightsJ71 nights

5.Which graph represents b 5?

6.Which inequality is shown by the graph below?

Fx3Hx3

Gx3Jx3

7.Which inequality represents the situation “no more than 160 students are in the freshman class”?

As 160Cs 160

Bs 160Ds 160

8.Solve x 7  2.

Fx5Hx 5

Gx5Jx 5

9.Solve 4(x1) 12.

Ax2Cx3

Bx2Dx3

10.Solve 23a3(2  6).

Fa6Ha4

Ga6Ja4

11.Solve by any method:

A(2, 1)

B(1, 2)

Holt McDougalCoordinate Algebra

Name______Date______Class______

Reasoning with Equations and Inequalities

Form Acontinued

Holt McDougalCoordinate Algebra

Name______Date______Class______

12.Which term describes a system with exactly one solution?

Fconsistent and independent

Gconsistent and dependent

Hinconsistent

Jdependent

Solve each equation.

13.10a 35 8a 1

______

14.5(x 1)  5(x 5)  15

______

15.Describe the solutions of x 2 in words.

______

Graph each inequality.

16.k1

17.w 2

18.Write the inequality shown by the
graph.

______

19.Citizens less than 18 years old are
not allowed to vote. Define a variable
and write an inequality for the ages of citizens who are not allowed to vote.

______

Solve each inequality.

20. 8

______

21.12  3x 32 18

______

22.One salesperson earns $1600 per month. A second salesperson earns $500 plus 5% of their sales per month. For what amount of sales would the second salesperson earn more than the first?

______

23.Tell whether (5, 6) is a solution of .

______

24.Classify

Write consistent and independent,
consistent and dependent, or
inconsistent.

______

Holt McDougalCoordinate Algebra

Name______Date______Class______

Answers

Holt McDougalCoordinate Algebra

Name______Date______Class______

Form A

1.C2.J

3.A4.G

5.C6.F

7.D8.F

9.A10.H

11.B12.F

13.a 2

Holt McDougalCoordinate Algebra

Name______Date______Class______

Reasoning with Equations and Inequalities

Answerscontinued

Holt McDougalCoordinate Algebra

Name______Date______Class______

14. no solution

15. all real numbers greater than or equal to 6

16.

17.

18.x3

19.a age; a 18; cannot be negative

20. x5321.x < 13

22.sales greater than $22,000

23.yes

24.inconsistent

Holt McDougalCoordinate Algebra