Free Printable Unit 6 Test Review

Worksheets

Unit 6 Test Review

Total questions: 38

Worksheet time: 2hrs 53mins

Name

Class

Date

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

(5, -4)

(-5, -4)

(-15, -4)

(15, -4)

What is the y-intercept of
y = -(x + 2)²+ 16.

(0, 16)

(0, 12)

(0, 2)

(0, 20)

What are the x-intercept(s) of

y = -(x + 2)²+ 16.

(-2, 0) & (16, 0)

(2, 0)

(2, 0) & (-6, 0)

(2, 0) & (-2, 0)

What are the roots of

f(x)=(x - 10)(x + 10)

(0,-100)

(10 , 0) and (-10 , 0)

(0, -10) and (0, 10)

(0,0)

If given the equation y = 3(x + 5)² - 4, what is the axis of symmetry?

(-4,0)

(-5,0)

x=-5

x=-4

Find the domain of h(x):

(-∞, +∞)

(-∞, -2) and (-2, ∞)

(2, ∞)

[-2, ∞)

Is it a function?

Function

Not a Function

What is the range?

(-∞, ∞)

[0, ∞)

[-5, 5]

(0, ∞)

What is the equation of the graph below?

f(x) = - I x + 2 I

f(x) = - I x - 2 I

f(x) = I x + 2 I

f(x) = I x - 2 I

10.

What are the transformations of this functions compared to the parent function?

Shifted right 5, shifted down 2, and reflected over the x-axis

Reflected over the x-axis, vertical stretch, and shifted right 5

Reflected over the x-axis, vertical stretch, and shifted left 5

Shifted right 5, shifted down 2

11.

What is the domain of the absolute value function?

(4, 0)

(0, 4)

All real numbers

[4, infinity)

12.

Solve for v
|v + 8| − 5 = 2

{-1,-15}

{-1,-5}

{-15,15}

No Solution

13.

Solve for n
|−2n| + 10 = −50

{30, -30}

{20,-20}

{-5,5}

No Solution

14.

Solve

no solution

x = -9

x = 9

x = 81

15.

Is the function increasing or decreasing on the following interval? 1 < x < 3

Increasing

Decreasing

Neither

16.

Is the Equation Linear, Quadratic, or Exponential?

Linear

Exponential

Quadratic

None of the above

17.

What is the rate of change of f(x) over the interval [0, 2]?

-2

3/2

2/3

18.

Write the equation that represents the table below:

y=1/2(4)^x

y=2(4)^x

y=4(2)^x

y=4(1/2)^x

19.

This table represents what kind of function?

Linear

Exponential Growth

Exponential Decay

Quadratic

20.

Which function has the greatest y-intercept?

g(x) at (0, -3)

g(x) at (-3, 0)

f(x) at (0, -7)

f(x) at (0, 2)

21.

Simplify:

√12

(4√3)/3

√3

(2√3)/3

22.

Simplify the expression:

√2 - 3√3

2√-59

-2√2 - 3√3

-3.782

23.

√(45x⁴y⁷)

3x²y³√5

9x²y³√5y

3x²y³√5y

3x⁴y⁷

24.

Simplify

3√3x

3√x

2√3x

2√x

25.

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

25 feet

26 feet

27 feet

28 feet

26.

Rewrite x^3/4in radical form

∜x³

∛x⁴

x^4/3

√x^3/4

27.

Compare the function values at x=1

h(x) < f(x) < g(x)

h(x) > f(x) > g(x)

f(x) > h(x) > g(x)

f(x) > g(x) > h(x)

28.

(7 − √2)(5 + √3)

35 + 7√3 − 5√2 − √6

29 + 7√3 − 5√2

35 +√10 − √7 −√6

√50

29.

Simplify 2√5(3√3+6√2)

6√15+12√10

15√6+30√10

6√10+12√6

30.

x = 49

x = 53

x = 45

x = 18

31.

4, -1

-1

-4

32.

Match the correct equation with the given graph.

y = √(x) + 2

y = √(x) - 2

y = √(x + 2)

y = √(x - 2)

33.

Match the correct equation with the given graph.

y = - √(x + 1)

y = √(x + 1)

y = - √(x) - 1

y = - √(x) + 1

34.

Where is the function increasing?

(4, ∞)

(−4, ∞)

(6, ∞)

4 < x < 6

35.

When are the function values positive?

x < 2 and x > 6

2 < x < 6

x < 4

x > 4

36.

When are the function values negative?

x < 2 and x > 6

2 < x < 6

x < 4

x > 4

37.

What is the range?

[-4, infinity)

(infinity, -4]

[2,6]

x > -4

38.

When is the function increasing? SELECT ALL THAT APPLY

4 < x < 6

x > 6

x < 2

2 < x < 4

Reset

Unit 6 Test Review

Total questions: 38

Worksheet time: 2hrs 53mins

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