Quiz

1. Given the points (-6, 1) and (2, 4) find the slope of the line that connects these points

a) -3/8

b) 8/3

c) -4/3

d) 3/8

e) -5/4

2. Solve the system

a) The value of y = -5

b) The value of y is 30

c) The value of y is 5

d) The value of y is -10

3. Find the center and radius of the circle given this equation:

(x – 1)² + (y – 5)² = 36

Center = ______________ and Radius = _________________

4. Given the equations of the lines (I) 2y + 3x = 3 (II) -3y - 2x = 5 (III) -6y + 4x = 9, (IV) 2y + 6x = 9 which two lines are perpendicular? A) (I) and (II) B) (II) and (III) C) (III) and (IV) D) (I) and (III) E) (IV) and (II)

5. If f(x) is a linear function such that f(-1) = 11 and f(2) = 5, then f(0) = A) 5 B) 6 C) 7 D) 8 E) 9

6. The scatter plot below shows the weights in ounces of several kittens at various ages. What is the best equation of the trend line through these points?

A) y = 10x

B) y = 4x

C) y = 1/4x + 10

D) y = 4x + 10

7. What is the graph of the equation 5x – 2y = 6?

A)

B)

C)

D)

8. What is the equation of the graph?

A) y = -|x| - 5

B) y = -|x -5|

C) y = |x + 5|

D) y = |x - 5|

9. What is the slope of the line through the points P(–5, –6) and Q(–12, 5)?

A) -11/7

B) 17/11

C) - 11/17

D) 11/17

10. What is the point-slope equation of the line through the point (–5, 5) that is perpendicular to the line whose equation is 5x = 3y?

A) y – 5 = 5/3(x + 5)

B) y – 5 = -3/5(x + 5)

C) y – 5 = 3/5(x + 5)

D) y – 5 = -5/3(x + 5)

11. What is the graph of y = |3x + 6|?

A)

B)

C)

D)

12. Find f(–5) if f(x) = –8x – 1

A) 39

B) -41

C) -39

D) 12

13. Evaluate the following functions: Given f(x) = 3x + 20, find f(- 4)

______________________________________________

14. What is the equation of a circle of radius 6 units centered at (3, 2)?

A. x2 + y2 + 6x – 4y = 23

B. x2 + y2 - 6x + 4y = 23

C. x2 + y2 + 6x + 4y = 23

D. x2 + y2 - 6x – 4y = - 23

E. x2 + y2 - 6x – 4y = 23

15. If you have a right triangle that has one leg being 21 units and the other leg being 72 units, what would be the number of units for the hypotenuse?

__________________________

16. What is the slope of the line that contains the given pairs of points (-11, 7) and (15, -3)?

___________________________

17. What is the slope of a roof on a house that has a vertical height of 2.4 feet from the ceiling of the top floor to the top of the pitch and a length of 8.2 feet from the center to the edge of the house?

___________________________

18. Determine whether the graphs of the equations are parallel? y = 2x + 7 and 5y + 10x = 20

A) Yes

B) No

19. Determine whether the graphs of the equations are perpendicular lines?

y = -8 + x and x – y = -1

A) Yes

B) No

20. Determine whether the graphs of the equations are parallel, perpendicular or neither? 5y + 50 = 4x and 4y + 5x = 12

A) Parallel

B) Perpendicular

C) Neither

21. Solve

a) x

5

b) x – 3

12

c) x² - 3

5x + 7

d) x + 3

5

22. Solve 4(x - 1) - (5x + 1) > 2x + 1

a)

b) x > -2

c) x < -2

d) x > -1

e) x < -1

23.

a)

b)

c)

d)

24. Solve for x: 3x2 - 5x > 2

a) x > 2 or x <

b)

c) or x < -2

d)

e)

25. Solve

a)

b)

c)

d)

26. Solve for x:

a) x = 3/2

b) x = 1/4

c) x = 1

d) x = 3

e) x = -1

27. If x2 - 8x - 4 = - 5 then

a) x = -11, 19

b)

c)

d) No real roots.

28. Solve for x:

a)

b)

c)

d)

e) None of these

29. Which of the following correctly completes the problem?

Solve for x: 2(x – 1) + 3 = 5

a) x = 3

b) x = 3/2

c) x = 5

d) x = 2

30. Which of the following expressions represents the product of two less than a number and three more than twice the number?

a) 2x² - x - 6

b) -2x² + x + 6

c) 2x² + x – 6

d) 2x² - x + 3

e) -2x² + x – 3

31. This is the graph of which equation?

This is the graph of which equation?

a) y = 3x + 1

b) y = 2x + 1

c) y = 3x – 1

d) y = 2x - 1

32. Let f(x) = -x² - 3x + 4, then f(-2) =

a) 2

b) 6

c) 16

d) 14

e) -6

33. Solve the inequality |-2x - 5| ≤ 6

a) x ≥ - 11/2

b) x ≤ -1/2

c) -11/2 ≤ x ≤ ½

d) -1/2 ≤ x ≤ 11/2

34. Find the y coordinate of the vertex of the quadratic function f(x) = -2x² - 4x + 5

a) 6

b) 7

c) -1

d) 9

e) -5

35. If f(x) is a linear function such that f(-2) = 4 and f(3) = 14, which of the following could represent f(x).

a) f(x) = 2x² - 4

b) f(x) = -2x² + 12

c) f(x) = 2x + 8

d) f(x) = ½ x + 5

e) none of these

36. ABC is a right triangle such that the length of BC (hypotenuse) is 5 units. The legs have length x and 2x. Find x.

A) 1 B) 2 C) 5√5 D) √5 E) 2√5

37. The equation 3y + 7x = 4 best describes a

A) point B) parabola C) line D) hyperbola E) circle

38. Which is the equation of the corresponding graph?

A) y = 2x B) y = -x C) -2x + y = 1 D) x = y + 2 E) y = 5

39. Find the dimensions of a rectangle with the perimeter 62m if the length is 5.2 time the width

A) 10m by 52m B) 13m by 12m C) 4m by 20.8m D) 2m by 10.4m E) 5m by 26m

40. For f(x) = x² + x - 9, find f(a + 2)

A) a2 + 5a - 3 B) a2 + 2a - 5 C) a2 + a - 3 D) a2 + a - 7 E) none of the above