Chapter9 Key

MAT 0213.010 - Intermediate Algebra - Fall 2008

Chapter 9 Test

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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Answer the question. 1) True or False? The y-coordinate is positive in quadrants I and II. A) True B) False Find the coordinates of the labeled points. 2)

2)

A) C(-6, 2); D(-5, 4) C) C(-6, 2); D(4, -5)

B) C(2, 4); D(-5, 4) D) C(-6, -5); D(2, -5)

Determine whether the given ordered pair is a solution of the equation. 3) 2x + 4y = 14; (3, 2) A) Yes B) No

Solve the problem. 4) The value V, in dollars, of a shopkeeper's inventory software program is given by V = -40t + 300, where t is the number of years since the shopkeeper first bought the program. After how many years is the value of the software $100? A) 6 yr B) 4 yr C) 7 yr D) 5 yr

Find the coordinates of the x-and y-intercept. 5) 7x - 5y = 12

12 12 , 0 , 0, B) 5 7

A) 5, 0 , 0, 17 C)

1)

12 12 , 0 , 0, 7 5

D)

1

12 12 , 0 , 0, 7 5

3)

4)

5)

MAT 0213.010 - Intermediate Algebra - Fall 2008

Chapter 9 Test

Find the x- and y-intercepts for the equation. Then graph the equation. 6) 6x - 24y = 0

A) (0, 0), (0, 0)

6)

B) (0, 0), (0, 0)

Write an equation for the graph. 7)

A) x = 4

7)

B) y = x + 8

C) y = 4

2

D) y = x + 4

MAT 0213.010 - Intermediate Algebra - Fall 2008

Chapter 9 Test

Find the slope of the line. 8)

A) -2

9) y = -3 A) 0

8)

B)

1 2

B) 3

1 2

C) 2

D) -

C) -3

D) Undefined

Find the slope of the line going through the pair of points. 1 4 10) ( , 4), ( , -4) 5 5 A) -

24 5

B) -

9)

10)

3 40

C) -

40 3

D)

40 3

Solve the problem. 11) An old house has a basement stairway that has steps with 7.25 inch risers and 10 inch treads. What is the slope of the stairway? A) 2.75 B) 7.25 C) 1.38 D) 0.73

Find the slope and the y-intercept of the line. 12) -3x + 5y = -5 2 A) Slope -1 ; y-intercept (0, -1) 3

3 B) Slope - ; y-intercept (0, 1) 5

2 C) Slope 1 ; y-intercept (0, 1) 3

D) Slope

3

3 ; y-intercept (0, -1) 5

11)

12)

MAT 0213.010 - Intermediate Algebra - Fall 2008

Chapter 9 Test

Find the equation of the line with the given slope and y-intercept. 9 13) Slope , y-intercept (0, -13) 2 A) y = -

9 x + 13 2

B) y = -

9 x - 13 2

C) y =

13) 9 x - 13 2

D) y =

9 x + 13 2

Find an equation of the line having the specified slope and containing the indicated point. 14) m = 1.5; (5, -2) A) y = 1.5x + 5.5 B) y = 1.5x + 9.5 C) y = 1.5x - 9.5 D) y = 1.5x - 5.5

Find an equation of the line containing the given pair of points. 15) (2.7, -8) and (5.7, -1.6) A) y = -3.2x - 13.76 B) y = 2.13x - 8.427 C) y = -3.2x - 8.427 D) y = 2.13x - 13.76

Tell whether the lines are "parallel", "perpendicular", or "neither." 16) y + 19 = -4x 2y = 4x - 19 A) Perpendicular B) Parallel

17) 3x - 6y = -12 18x + 9y = -12 A) Parallel

14)

15)

16) C) Neither

17) B) Perpendicular

4

C) Neither

MAT 0213.010 - Intermediate Algebra - Fall 2008

Chapter 9 Test

Choose the ordered pair which is a solution of the inequality. 18) 2x + 4y 8 (0, 0), (1, 1), (0, 1), (2, 1) A) (2, 1) B) (0, 0) C) (0, 1)

Graph the linear inequality. 19) 2x + y 3

18) D) (1, 1)

19)

A)

B)

C)

D)

5

MAT 0213.010 - Intermediate Algebra - Fall 2008

Chapter 9 Test

20) y 2x

20)

A)

B)

C)

D)

6