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Linear and Quadratic Functions Take Test: 1.08 Linear and Quadratic Functions Unit Exam

Take Test: 1.08 Linear and Quadratic Functions

Unit Exam

Test Information

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Instructions

Multiple Attempts Not allowed. This test can only be taken once.

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QUESTION 1

The following is an example of a function.

TRUE

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2 points

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?

FALSE

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QUESTION 2

2 points

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2 points

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2 points

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What is the inverse of y = 4x – 2?

y = 2x + 4

QUESTION 3

What is the range of the following function?

y≥1

y≥2

y ≥ -2

y > -1

QUESTION 4

Find

if f(x) = 2x – 1 and g(x) = x + 2.

2x – 3

2x + 1

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2x – 1

2x + 3

QUESTION 5

2 points

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2 points

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2 points

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2 points

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2 points

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What is the solution of -2x + 8 = 20?

x = -6

x=4

x=6

x = -4

QUESTION 6

What is the solution of 2(x – 5) + 4 = 30?

x = 20

x = -10

x = 16

x = 18

QUESTION 7

What is the solution of

?

x ≤ -3 and x ≥ -7

No solution

x ≥ -3 and x ≤ -7

x ≤ -3 or x ≥ -7

QUESTION 8

Find the slope between points (2, 10) and (-5, 12).

QUESTION 9

What is the slope of the following linear function?

Question Completion Status:

2

-2

QUESTION 10

What is the equation of the following linear function?

2 points

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y = -3x

y = 3x

y = -2x

y = 2x

Q U E S T I O N 11

2 points

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Find the equation of a line that goes through points (0, 4) and (1, 6).

y = -2x – 4

y = 2x + 4

y = 4x + 2

y = -4x – 2

QUESTION 12

2 points

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What is the equation of the line that has a slope of -1 and goes through point (0, 5)?

y = -x + 5

y = -2x + 5

y = -x

y = 2x + 5

QUESTION 13

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2 points

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2 points

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The following is the graph of -x + y = -3.

TRUE

FALSE

QUESTION 14

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TRUE

FALSE

QUESTION 15

2 points

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TRUE

FALSE

QUESTION 16

Write the equation of the following inequality.

2 points

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y < 3x + 3
y > -3x + 3

y > 3x + 3

y < -3x + 3
QUESTION 17
2 points
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2 points
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The parent function of a quadratic equation is f(x) = x2.
TRUE
FALSE
QUESTION 18
Explain the effect that "a" has on the function f(x) = a(x - h)2 + k.
The "a" compresses (a < 0) or stretches (a > 0) a quadratic function.

The “a” moves the function left (a < 0) or right (a > 0).

The “a” moves the function up (a > 0) or down (a < 0).
The "a" reflects the graph across the y-axis.
QUESTION 19
2 points
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3x2 - 2.
Graph is compressed by a factor of 3 and moves 2 units up.
Graph is stretched by a factor of 3 and moves 2 units down.
Graph is compressed by a factor of 3 and moves 2 units down.
Graph is stretched by a factor of 3 and moves 2 units up.
QUESTION 20
2 points
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2 points
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2 points
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The following is the graph of f(x) = (x − 5)2 + 2.
TRUE
FALSE
QUESTION 21
Solve the quadratic function x2 - 8x + 16 = 0 for x.
x = 4 or x = -4
x = 4 (double root)
x = 2 or x = 4
x = 2 (double root)
QUESTION 22
Solve 3x2 - 3x - 6 = 0.
{1, 2}
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{-2, 1}
{-1, 2}
{-2, -1}
QUESTION 23
2 points
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Determine the number of solutions for the quadratic function f(x) = x2 - 6x + 9.
No real solutions
1 solution (double root)
2 distinct real solutions
QUESTION 24
The solution to -x2 − 3x + 1 = 0 is
2 points
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2 points
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2 points
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.
TRUE
FALSE
QUESTION 25
The solution to 3x2 − 2x = 12 is
.
TRUE
FALSE
QUESTION 26
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{-4, 0}
{5, 1}
{-4, 2}
{2, 4}
QUESTION 27
2 points
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2 points
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What is the vertex of f(x) = x2 + 2x - 8?
(-1, -9)
(1, 9)
(2, 5)
(-2, -5)
QUESTION 28
An object is launched at 25 m/s from a height of 80 m. The equation for the height (h) in
terms of time (t) is given by h(t) = -4.9t2 + 25t + 80. What is the object's maximum
height?
Approximately 109 ft
Approximately 110 ft
Approximately 111 ft
Approximately 112 ft
QUESTION 29
Question Completion Status:
2 points
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2 points
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What is the range of the following function?
y≤1
y ≤ -1
y≥1
y ≥ -1
QUESTION 30
What is the quadratic function that is created with roots -10 and -6 and a vertex at (-8,
-8)?
f(x) = -2x2 + 32x + 120
f(x) = 2x2 - 32x + 120
f(x) = 2x2 + 32x - 120
f(x) = 2x2 + 32x + 120
QUESTION 31
2 points
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QUESTION 32
2 points
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You have a pool that measure 8 yards by 10 yards. You want to build a deck around
your pool of uniform width increasing the total area of the pool to 120 square yards.
What is the width of the deck?
2 yards
1 yard
3 yards
4 yards
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David Williams 107
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Rational Functions Take Test: 3.04 Rational Functions Unit Exam
Take Test: 3.04 Rational Functions Unit Exam
Test Information
Description
Instructions
Multiple Attempts Not allowed. This test can only be taken once.
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QUESTION 1
Save and Submit
2 points
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2 points
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Which of the following represents a direct variation?
y = -3x
y = x2 − 2x + 5
QUESTION 2
If y varies directly as x, find the constant of variation if y = 34 when x = 2.
15
10
17
12
QUESTION 3
2 points
If y varies inversely as x, find the constant of variation if y = 2 as x = -9.
4.5
-18
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QUESTION 4
2 points
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Write the appropriate inverse variation equation if y = 6 when x = 3.
QUESTION 5
2 points
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Does the following graph represent a direct or inverse variation?
Question Completion Status:
Direct Variation
Inverse Variation
QUESTION 6
2 points
If y varies directly as x, and y = 6 as x = -1, find y for the x-value of 5.
-32
30
Save Answer
-26
QUESTION 7
2 points
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If y varies inversely as x, and y = 5 as x = -2, find y for the x-value of 3.
10
-10
QUESTION 8
The following is the graph of
2 points
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2 points
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.
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TRUE
FALSE
QUESTION 9
What affect does k = -4 have on the parent function
Graph moves 4 units to the right
Graph moves 4 units to the left
QUESTION 10
2 points
Describe the transformations of the function
Save Answer
.
Graph is stretched by a factor of
, moves 8 units to the left and 10 units down.
Graph is stretched by a factor of
, moves 8 units to the left and 10 units up.
Graph is stretched by a factor of
, moves 8 units to the right and 10 units down.
Graph is stretched by a factor of
, moves 8 units to the right and 10 units up.
Q U E S T I O N 11
2 points
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2 points
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The graph moves 6 units to the right and 7 units down.
The graph moves 6 units to the left and 7 units down.
The graph moves 6 units to the right and 7 units up.
QUESTION 12
The following is the graph of
.
TRUE
FALSE
QUESTION 13
The following is the graph of
2 points
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2 points
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.
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TRUE
FALSE
QUESTION 14
Find the domain of
All Real Numbers except x = 0
All Real Numbers
x>0

All Real Numbers except x = 14

QUESTION 15

2 points

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2 points

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2 points

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2 points

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All Real Numbers except x = 7.

All Real Numbers

All Real Numbers except y = 4.

x>0

QUESTION 16

Find the domain of

All Real Numbers except x = -1

All Real Numbers

All Real Numbers except x = -4

x>0

QUESTION 17

The solution of

Question Completion Status:

is x = -1.

TRUE

FALSE

QUESTION 18

Solve

{-1}

{-1, 2}

{2}

{1, 2}

QUESTION 19

Solve

No Solution

{-1}

x=1

QUESTION 20

2 points

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2 points

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2 points

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Solve

No solution

{3}

{-3}

QUESTION 21

What is the approximate value of the function at x = -1?

Question Completion Status:

-1

1

0.5

-0.5

QUESTION 22

What is the approximate value of the function at x = -2?

Question Completion Status:

2

-1

1

-2

QUESTION 23

2 points

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2 points

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Solve

x>0

QUESTION 24

Solve

x < -1 or x > 4

-1 < x < 4
QUESTION 25
2 points
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Solve
x < -9 or x > 3

-9 < x < 3
x>3

x < -9
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Exponential and Logarithmic Functions
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Take Test: 4.05 Solving Exponential and Logarithmic Equations Quiz
Take Test: 4.05 Solving Exponential and
Logarithmic Equations Quiz
Test Information
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Instructions
Multiple Attempts This test allows 3 attempts. This is attempt number 1.
Force Completion This test can be saved and resumed later.
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QUESTION 1
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2 points
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2 points
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2 points
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The solution of the equation x = log48 is approximately 1.2.
TRUE
FALSE
QUESTION 2
The solution of the equation
is approximately -2.
TRUE
FALSE
QUESTION 3
Solve 9x = 15. Round your answer to the nearest hundredth.
x ≈ 1.23
x ≈ 1.56
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QUESTION 4
2 points
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2 points
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Solve 3x = 23. Round your answer to the nearest hundredth.
x ≈ 2.85
x ≈ 2.98
x ≈ 3.14
x ≈ 3.56
QUESTION 5
Solve logx = log(4x - 9). Round your answer to the nearest hundredth.
x=3
x=4
x = -2
x = -1
QUESTION 6
2 points
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2 points
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2 points
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Solve 6x = 9. Round your answer to the nearest hundredth.
x ≈ 0.97
x ≈ 1.23
x ≈ 2.45
x ≈ 4.09
QUESTION 7
Solve 3x = 69. Round your answer to the nearest hundredth.
x ≈ 4.89
x ≈ 2.13
x ≈ 3.85
x ≈ 4.23
QUESTION 8
What is the approximate value of the function at x = 2?
Question Completion Status:
7
8
7.5
9
QUESTION 9
The approximate value of the function at x = 1 is 3.
2 points
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TRUE
FALSE
QUESTION 10
The approximate value of the function at x = 0 is 2.
2 points
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TRUE
FALSE
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Trigonometric Functions Take Test: 5.04 Inverse Trigonometric Values Quiz
Take Test: 5.04 Inverse Trigonometric Values Quiz
Test Information
Description
Instructions
Multiple Attempts This test allows 3 attempts. This is attempt number 1.
Force Completion This test can be saved and resumed later.
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QUESTION 1
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2 points
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Given sin A = .43 find angle A in degrees. Round your answer to the nearest hundredth.
22.67°
23.44°
25.47°
26.90°
QUESTION 2
2 points
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Given tan A = .29 find the angle A in degrees. Round your answer to the nearest
hundredth.
12.19°
14.83°
16.17°
18.56°
QUESTION 3
2 points
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Given cos B = .12 find angle B in radians. Round your answer to the nearest hundredth.
1.45 radians
1 55 radians
?
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QUESTION 4
2 points
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Given cos A = .29 find the angle A in radians. Round your answer to the nearest
hundredth.
1.19 radians
1.28 radians
1.34 radians
1.46 radians
QUESTION 5
2 points
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2 points
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Given the following triangle, solve for angle Y.
49.54°
51.89°
54.23°
57.12°
QUESTION 6
Given the following triangle, solve for angle Y.
Question Completion Status:
40°
45°
50°
55°
QUESTION 7
2 points
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2 points
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Find angle A in the following triangle.
50.67°
49.23°
48.19°
51.89°
QUESTION 8
Given the following triangle, solve for side YZ.
Question Completion Status:
8.17
7.69
8.32
7.27
QUESTION 9
2 points
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I want to build a right triangular deck behind my house. The hypotenuse of the deck will
be 25 feet long. The other two sides of the deck will be equal in length. What is the
length of the deck?
17.68 feet
15.98 feet
10.34 feet
9.32 feet
QUESTION 10
2 points
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You want to build a right triangular garden on the side of your house. The hypotenuse of
the triangle measures 8 feet. The other two sides are equal. What are the lengths of the
two sides?
5.43 feet
Question Completion Status:
5.93 feet
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