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Find the slope-intercept form of the equation of the line that
passes through the given point and has the indicated slope m.
Sketch the line.
A.
y=7x+7
B.
y=7x-4
C.
y=7x+7
D.
y=-4x-4
E.
y=7x-7
5 points
QUESTION 2
Find the slope-intercept form of the equation of the line that
passes through the given point and has the indicated slope m.
(-6,6), m=-2
A.
y=6x+6
B.
y=6x-6
C.
y=-6x-6
D.
y=-2x-6
E.
y=-2x+6
5 points
QUESTION 3
Determine whether the lines are parallel, perpendicular, or
neither.
A.
Parallel
B.
Perpendicular
C.
Neither
5 points
QUESTION 4
Evaluate the function ƒ(x) = 6x - 5 at ƒ(1)
A.
2
B.
1
C.
-1
D.
0
E.
3
5 points
QUESTION 5
A.
8
B.
25
C.
9
D.
-25
E.
8
5 points
QUESTION 6
Does the table describe a function?
A.
no
B.
yes
5 points
QUESTION 7
A.
-h - 8, h≠0
B.
-h - 6, h≠0
C.
-h - 5, h≠0
D.
-h - 9, h≠0
E.
-h - 7, h≠0
5 points
QUESTION 8
Find all real values of x such that ƒ(x) = 0.
ƒ(x) = 42 - 6x
A.
7
B.
5
C.
9
D.
6
E.
8
5 points
QUESTION 9
Find all real values of x such that ƒ(x) = 0
A.
5/4
B.
1
C.
9/8
D.
7/8
E.
11/8
5 points
QUESTION 10
Find the domain of the function.
A.
All real numbers t except t≠0
B.
Negative real numbers t
C.
All real numbers t such that t > 0
D.
Non-negative real numbers t
E.
All real numbers t such that t<0
5 points
QUESTION 11
Find the average rate of change of the function from x1=0 to
x2=3
ƒ(x) = 7x + 13
A.
The average rate of change from x1=0 to x2=3 is -7
B.
The average rate of change from x1=0 to x2=3 is 7
C.
The average rate of change from x1=0 to x2=3 is -13
D.
The average rate of change from x1=0 to x2=3 is 13
E.
The average rate of change from x1=0 to x2=3 is 19
5 points
QUESTION 12
Find the zeroes of the function algebraically.
ƒ(x) = 2x2 - 3x - 20
A.
-5/2, 4
B.
-5/2, -4
C.
-2/5, 4
D.
5/2, -4
E.
5/2, 4
5 points
QUESTION 13
Find (ƒ+g)(x)
ƒ(x) = x+3, g(x) = x - 3
A.
2x
B.
3x
C.
-3x
D.
-2x
E.
2x+6
5 points
QUESTION 14
Find (ƒ-g)(x)
ƒ(x) = x + 6, g(x) = x - 6
A.
2x - 12
B.
12
C.
2x - 6
D.
2x + 12
E.
2x
5 points
QUESTION 15
Find (ƒg)(x)
ƒ(x) = x2, g(x) = 7x - 6
A.
7x3 + 6x2
B.
7x3 - 6x2
C.
7x2 - 6x3
D.
7x2 + 6x3
E.
7x - 6x2
5 points
QUESTION 16
Evaluate the indicated function for ƒ(x) = x2 + 3, g(x) = x - 5
(ƒ + g)(6)
A.
42
B.
-40
C.
34
D.
44
E.
40
5 points
QUESTION 17
find ƒ ∘ g
ƒ(x) = x2, g(x) = x - 5
A.
x2
B.
(x-5)2
C.
(x+5)2
D.
x2-5
E.
x2+5
5 points
QUESTION 18
Find the slope and y-intercept (if possible) of the equation of
the line. Sketch the line.
y = 7x + 5
A.
m = 7
y-intercept (0,5)
B.
m = -7
y-intercept: (0,5)
C.
m=5
y-intercept: (0,5)
D.
m = -5
y-intercept: (0,5)
E.
m is undefined
y-intercept: (0,5)
5 points
QUESTION 19
Plot the points and find the slope of the line passing through the
pair of points
(0,6), (4,0)
A.
m = 3/4
B.
m = -3/2
C.
m = -3/2
D.
m = -2/3
E.
m = 3/2
5 points
QUESTION 20
Plot the points and find the lope of the line passing through the
pair or points
(11,0), (0,-9)
A.
m = -11/9
B.
m = 9/11
C.
m = -9/11
D.
m = 11/9
E.
m = -7/13
QUESTION 1
1. Select the graph of the quadratic function ƒ(x) = 4 - x2.
Identify the vertex and axis of symmetry.
A.
Vertex: (0,4)
Axis of symmetry: y-axis
B.
Vertex: (0,2)
Axis of symmetry: y-axis
C.
Vertex: (0,5)
Axis of symmetry: y-axis
D.
Vertex: (0,3)
Axis of symmetry: y-axis
E.
Vertex: (0,1)
Axis of symmetry: y-axis
5 points
QUESTION 2
1. Select the graph of the quadratic function ƒ(x) = x2 + 3.
Identify the vertex and axis of symmetry.
A.
Vertex: (0,4)
Axis of symmetry: y-axis
B.
Vertex: (0,5)
Axis of symmetry: y-axis
C.
Vertex: (0,1)
Axis of symmetry: y-axis
D.
Vertex: (0,3)
Axis of symmetry: y-axis
E.
Vertex: (0,2)
Axis of symmetry: y-axis
5 points
QUESTION 3
1. Determine the vertex of the graph of the quadratic function
A.
B.
C.
D.
E.
5 points
QUESTION 4
1. Determine the x-intercept(s) of the quadratic function
ƒ(x) = x2 + 4x - 32
A.
(-4,0), (8,0)
B.
(0,0), (7,0)
C.
(4,0), (-8,0)
D.
(0,0), (-7,0)
E.
no x-intercept(s)
5 points
QUESTION 5
1. Write a polynomial that fits the description.
A fifth-degree polynomial with leading coefficient 4
A.
1024x5 + 3x + 1
B.
4x5 + 3x + 1
C.
4x4 + 3x3 + 4x2 + 5x + 1
D.
6x5 + 3x + 1
E.
x5 + 4
5 points
QUESTION 6
1. Perform the operation and write the result in standard form.
(3x2 + 5) - (x2 - 4x + 5)
A.
3x2 + 4x
B.
2x2 + 4x + 5
C.
2x2 - 4x
D.
2x2 + 4x
E.
2x2 + 4x - 5
5 points
QUESTION 7
1. Multiply or find the special product.
(x+4)(x+9)
A.
x2 + 13x
B.
x2 + 4x + 36
C.
x2 + 36
D.
x2 + 13x + 36
E.
x2 + 13x + 9
5 points
QUESTION 8
1. Factor out the common factor.
8x3 - 104x
A.
8x3(1-13x)
B.
8(x3-13x)
C.
8x2(x-13)
D.
x(8x2-104)
E.
8x(x2-13)
5 points
QUESTION 9
1. Factor the Trinomial.
x2 + 14x + 45
A.
(x-5)(x-9)
B.
(x+5)(x-9)
C.
(x+5)(x+9)
D.
(x-5)-(x-9)
E.
(x-5)(x+9)
5 points
QUESTION 10
1. Determine whether the value of x=0 is a solution of the
equation.
5x-3 = 3x+5
A.
yes
B.
no
5 points
QUESTION 11
1. Solve the equation and check your solution.
67x - 24 = 3x + 8(8x-3)
A.
3
B.
67
C.
-3
D.
-67
E.
All real numbers
5 points
QUESTION 12
1. Solve the quadratic equation by factoring.
x2 - 6x + 5 = 0
A.
-1,5
B.
-1,-5
C.
1,-5
D.
1,5
E.
6,5
5 points
QUESTION 13
1. Solve the equation and check your solution. (If not possible,
explain why)
A.
8
B.
7/17
C.
15/8
D.
12
E.
15
5 points
QUESTION 14
1. Find the slope-intercept form of the equation of the line that
passes through the given point and has the indicated slope m.
Sketch the line.
A.
y=6x+6
B.
y=6x+6
C.
y = -6x-6
D.
y = -2x - 6
E.
y = 6x-6
5 points
QUESTION 15
1. Evaluate the function at q(3)
A.
1/8
B.
1/6
C.
1/4
D.
1/7
E.
1/5
5 points
QUESTION 16
1. Does the table describe a function?
A.
yes
B.
no
5 points
QUESTION 17
1. Find the domain of the function.
A.
All real numbers x
B.
Non-negative real numbers x such that x ≠ 0
C.
Non-negative real numbers x
D.
All real numbers x such that x<0
E.
All real numbers x such that x>0
5 points
QUESTION 18
1. Find the zeroes of the function algebraically.
ƒ(x) = 2x2 - 3x - 20
A.
-5/2, 4
B.
-5/2, -4
C.
-2/5, 4
D.
5/2, -4
E.
5/2, 4
5 points
QUESTION 19
1. Find (f+g)(x)
ƒ(x) = 2x - 4, g(x) = 6 - x
A.
3x - 2
B.
2x - 2
C.
2x + 2
D.
3x + 2
E.
x+2
5 points
QUESTION 20
1. Find g ∘ f
ƒ(x) = x3, g(x) = x - 1
A.
x3 - 1
B.
x3
C.
(x - 1)3
D.
(x3 + 1)
E.
(x + 1)3

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Find the slope-intercept form of the equation of the line that pas.docx

  • 1. Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m. Sketch the line. A. y=7x+7 B. y=7x-4 C. y=7x+7 D. y=-4x-4 E. y=7x-7 5 points QUESTION 2 Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m. (-6,6), m=-2 A. y=6x+6 B. y=6x-6
  • 2. C. y=-6x-6 D. y=-2x-6 E. y=-2x+6 5 points QUESTION 3 Determine whether the lines are parallel, perpendicular, or neither. A. Parallel B. Perpendicular C. Neither 5 points QUESTION 4 Evaluate the function ƒ(x) = 6x - 5 at ƒ(1) A. 2 B. 1 C. -1 D.
  • 3. 0 E. 3 5 points QUESTION 5 A. 8 B. 25 C. 9 D. -25 E. 8 5 points QUESTION 6 Does the table describe a function? A. no B. yes 5 points QUESTION 7
  • 4. A. -h - 8, h≠0 B. -h - 6, h≠0 C. -h - 5, h≠0 D. -h - 9, h≠0 E. -h - 7, h≠0 5 points QUESTION 8 Find all real values of x such that ƒ(x) = 0. ƒ(x) = 42 - 6x A. 7 B. 5 C. 9 D. 6 E. 8 5 points QUESTION 9
  • 5. Find all real values of x such that ƒ(x) = 0 A. 5/4 B. 1 C. 9/8 D. 7/8 E. 11/8 5 points QUESTION 10 Find the domain of the function. A. All real numbers t except t≠0 B. Negative real numbers t C. All real numbers t such that t > 0 D. Non-negative real numbers t E. All real numbers t such that t<0
  • 6. 5 points QUESTION 11 Find the average rate of change of the function from x1=0 to x2=3 ƒ(x) = 7x + 13 A. The average rate of change from x1=0 to x2=3 is -7 B. The average rate of change from x1=0 to x2=3 is 7 C. The average rate of change from x1=0 to x2=3 is -13 D. The average rate of change from x1=0 to x2=3 is 13 E. The average rate of change from x1=0 to x2=3 is 19 5 points QUESTION 12 Find the zeroes of the function algebraically. ƒ(x) = 2x2 - 3x - 20 A. -5/2, 4 B. -5/2, -4 C. -2/5, 4 D. 5/2, -4
  • 7. E. 5/2, 4 5 points QUESTION 13 Find (ƒ+g)(x) ƒ(x) = x+3, g(x) = x - 3 A. 2x B. 3x C. -3x D. -2x E. 2x+6 5 points QUESTION 14 Find (ƒ-g)(x) ƒ(x) = x + 6, g(x) = x - 6 A. 2x - 12 B. 12 C. 2x - 6 D.
  • 8. 2x + 12 E. 2x 5 points QUESTION 15 Find (ƒg)(x) ƒ(x) = x2, g(x) = 7x - 6 A. 7x3 + 6x2 B. 7x3 - 6x2 C. 7x2 - 6x3 D. 7x2 + 6x3 E. 7x - 6x2 5 points QUESTION 16 Evaluate the indicated function for ƒ(x) = x2 + 3, g(x) = x - 5 (ƒ + g)(6) A. 42 B. -40 C.
  • 9. 34 D. 44 E. 40 5 points QUESTION 17 find ƒ ∘ g ƒ(x) = x2, g(x) = x - 5 A. x2 B. (x-5)2 C. (x+5)2 D. x2-5 E. x2+5 5 points QUESTION 18 Find the slope and y-intercept (if possible) of the equation of the line. Sketch the line. y = 7x + 5 A. m = 7 y-intercept (0,5)
  • 10. B. m = -7 y-intercept: (0,5) C. m=5 y-intercept: (0,5) D. m = -5 y-intercept: (0,5) E. m is undefined y-intercept: (0,5) 5 points QUESTION 19 Plot the points and find the slope of the line passing through the pair of points (0,6), (4,0) A. m = 3/4 B. m = -3/2 C. m = -3/2
  • 11. D. m = -2/3 E. m = 3/2 5 points QUESTION 20 Plot the points and find the lope of the line passing through the pair or points (11,0), (0,-9) A. m = -11/9 B. m = 9/11 C. m = -9/11 D. m = 11/9 E. m = -7/13 QUESTION 1
  • 12. 1. Select the graph of the quadratic function ƒ(x) = 4 - x2. Identify the vertex and axis of symmetry. A. Vertex: (0,4) Axis of symmetry: y-axis B. Vertex: (0,2) Axis of symmetry: y-axis C. Vertex: (0,5) Axis of symmetry: y-axis D. Vertex: (0,3) Axis of symmetry: y-axis E. Vertex: (0,1) Axis of symmetry: y-axis 5 points QUESTION 2 1. Select the graph of the quadratic function ƒ(x) = x2 + 3. Identify the vertex and axis of symmetry. A. Vertex: (0,4) Axis of symmetry: y-axis
  • 13. B. Vertex: (0,5) Axis of symmetry: y-axis C. Vertex: (0,1) Axis of symmetry: y-axis D. Vertex: (0,3) Axis of symmetry: y-axis E. Vertex: (0,2) Axis of symmetry: y-axis 5 points QUESTION 3 1. Determine the vertex of the graph of the quadratic function A. B. C. D.
  • 14. E. 5 points QUESTION 4 1. Determine the x-intercept(s) of the quadratic function ƒ(x) = x2 + 4x - 32 A. (-4,0), (8,0) B. (0,0), (7,0) C. (4,0), (-8,0) D. (0,0), (-7,0) E. no x-intercept(s) 5 points QUESTION 5 1. Write a polynomial that fits the description. A fifth-degree polynomial with leading coefficient 4 A. 1024x5 + 3x + 1 B. 4x5 + 3x + 1 C. 4x4 + 3x3 + 4x2 + 5x + 1 D.
  • 15. 6x5 + 3x + 1 E. x5 + 4 5 points QUESTION 6 1. Perform the operation and write the result in standard form. (3x2 + 5) - (x2 - 4x + 5) A. 3x2 + 4x B. 2x2 + 4x + 5 C. 2x2 - 4x D. 2x2 + 4x E. 2x2 + 4x - 5 5 points QUESTION 7 1. Multiply or find the special product. (x+4)(x+9) A. x2 + 13x B. x2 + 4x + 36 C.
  • 16. x2 + 36 D. x2 + 13x + 36 E. x2 + 13x + 9 5 points QUESTION 8 1. Factor out the common factor. 8x3 - 104x A. 8x3(1-13x) B. 8(x3-13x) C. 8x2(x-13) D. x(8x2-104) E. 8x(x2-13) 5 points QUESTION 9 1. Factor the Trinomial. x2 + 14x + 45 A. (x-5)(x-9) B. (x+5)(x-9)
  • 17. C. (x+5)(x+9) D. (x-5)-(x-9) E. (x-5)(x+9) 5 points QUESTION 10 1. Determine whether the value of x=0 is a solution of the equation. 5x-3 = 3x+5 A. yes B. no 5 points QUESTION 11 1. Solve the equation and check your solution. 67x - 24 = 3x + 8(8x-3) A. 3 B. 67 C. -3 D. -67
  • 18. E. All real numbers 5 points QUESTION 12 1. Solve the quadratic equation by factoring. x2 - 6x + 5 = 0 A. -1,5 B. -1,-5 C. 1,-5 D. 1,5 E. 6,5 5 points QUESTION 13 1. Solve the equation and check your solution. (If not possible, explain why) A. 8 B. 7/17 C. 15/8
  • 19. D. 12 E. 15 5 points QUESTION 14 1. Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m. Sketch the line. A. y=6x+6 B. y=6x+6 C. y = -6x-6 D. y = -2x - 6 E. y = 6x-6 5 points QUESTION 15 1. Evaluate the function at q(3) A.
  • 20. 1/8 B. 1/6 C. 1/4 D. 1/7 E. 1/5 5 points QUESTION 16 1. Does the table describe a function? A. yes B. no 5 points QUESTION 17 1. Find the domain of the function. A. All real numbers x B. Non-negative real numbers x such that x ≠ 0 C. Non-negative real numbers x
  • 21. D. All real numbers x such that x<0 E. All real numbers x such that x>0 5 points QUESTION 18 1. Find the zeroes of the function algebraically. ƒ(x) = 2x2 - 3x - 20 A. -5/2, 4 B. -5/2, -4 C. -2/5, 4 D. 5/2, -4 E. 5/2, 4 5 points QUESTION 19 1. Find (f+g)(x) ƒ(x) = 2x - 4, g(x) = 6 - x A. 3x - 2 B. 2x - 2 C.
  • 22. 2x + 2 D. 3x + 2 E. x+2 5 points QUESTION 20 1. Find g ∘ f ƒ(x) = x3, g(x) = x - 1 A. x3 - 1 B. x3 C. (x - 1)3 D. (x3 + 1) E. (x + 1)3