Free Printable Unit 2 Test Prep

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Unit 2 Test Prep

Total questions: 60

Worksheet time: 5hrs 0mins

Name

Class

Date

Given g(x) = 4x - 7, find g(-9).

g(-9) = 29

g(-9) = -43

g(-9) = 43

g(-9) = -29

If f(x) = -4x - 5 and
g(x) = 3 - x,
what is g(-4) + f(1)?

-2

-9

-10

f(x) is the same thing as ______.

input

an equation

g(x) = 3x + 1
g(10) = ______

-31

Is the relation a function? Why.

Yes, because the x-value 11 has two y-values pair with it.

Yes, because each x-value has only one y-value paired with it.

No, because the x-value 11 has two y-values pair with it.

No, because each x-value has only one y-value paired with it.

Given f(x) = -4x - 10 and f(x) = 10. Find x

x = -5

x = 5

x = -50

x = 30

Which ordered pair below would prevent this table from being a function?

(10, 10)

(2, 4)

(6, 1)

(-2, 0)

Identify the domain of the following relation:

-6, 14, 2, 28

(-6,14), (0,32), (2,38), (4,44)

-6, 0, 2, 4

14, 32, 38, 44

What is the range of the following relation:
(9, -2) (4, 3) ( 8, 10) ( -4, 8)

-4, 4, 8, 9

-2, 3, 8, 10

(9, -2) ( 4, 3)

(8, 10) (-4, 8)

10.

What is the range of the graph?
Remember: Range is y!

1 ≤ x ≤ 5

1 < x < 5

1 ≤ y ≤ 5

1 < y < 5

11.

What is the domain of the graph?
Remember: Domain is x

1≤ x ≤ 4

1 < x < 4

1≤ y ≤ 4

1 < y < 4

12.

Which graph does NOT pass the vertical line test?

Graph 1

Graph 2

Graph 3

Graph 4

13.

All of the y values or outputs are called what?

Domain

Range

14.

All of the x values or inputs are called what?

Domain

Range

15.

What is the range of the graph?
Remember: Range is the "y" values (up and down)

-7 ≤ x < 5

-3 ≤ x < 1

-3 ≤ y < 1

-7 ≤ y < 5

16.

What is the DOMAIN of this graph?
Remember: DOMAIN is the x from left to right.

x < -3

x ≤ -3

x > -3

x ≥ -3

17.

IS THIS GRAPH DISCRETE AND CONTINUOUS?

CONTINUOUS

DISCRETE

18.

The total cost in dollars, c, to purchase video games online can be found using the function c = 16.95x + 4.75, where x is the number of video games purchased. If at least 4 games but no more than 7 games are purchased online, what is the range of the function for this situation?

{4, 5, 6, 7}

4 ≤ x ≤ 7

72.55 ≤ c ≤ 123.50

{72.55, 89.50, 106.45, 123.40}

19.

Using his spending account at the school store, Randy buys pencils which are 12 cents each. For the first 4 months of school, Randy bought 3, 4, 6, and 9 pencils. If the function A = .12p represents the amount, A, Randy spent on pencils each month and p is the number of pencils he buys, what is the range of this function?

{3, 4, 6, 9}

{0.15, 0.16, 0.18, 0.21}

{0.36, 0.48, 0.72, 1.08}

{3.12, 4.12, 6.12, 9.12}

20.

Does this graph have a maximum or minimum?

Maximum

Minimum

21.

Does this graph have a minimum or maximum and what is its value?

minimum: 2

maximum: 2

minimum: 5

maximum: 5

22.

Which represents the parent function shifted down two units?

f(x) = -2x

f(x) = x - 2

f(x) = x + 2

f(x) = 2x

23.

Identify the line less steep than:

y = 3x + 8

y = 5x + 8

y = 3x + 5

y = -3x + 6

y = 2x + 7

24.

Rewrite f(x) = 2x - 1 shifted up three units and the slope doubled

f(x) = 5x - 2

f(x) = 4x + 2

f(x) = 4x + 3

f(x) = 5x - 4

25.

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

a reflection across the line x = -4

a reflection across the line y = -4

a translation shifting f(x) 4 units to the left

a translation shifting f(x) 4 units to the right

26.

Match the description to its equation.
Moves right 7

27.

Find the slope of the line that passes through:
(10, 1) and (5, 2)

1/5

-1/5

-5

28.

Which statement below accurately represents the graph?

$100 is earned for each hour worked

$100 is earned for every 2 hours worked

$500 is earned for every 8 hours worked

$200 is earned for every 3 hours worked

29.

Taylor can write 6 words per minute

Taylor can write 25 words per minute

Taylor can write 50 words per minute

Taylor can write 150 words per minute

30.

Which of these represents slope-intercept form?

y - y₁ = m(x-x₁)

Ax + By = C

y = mx + b

31.

What does "m" represent in y=mx+b?

y-intercept

slope

macaroni

nothing

32.

What is the slope in the equation: y=4x+3

33.

If m=3 and b=6, what is the correct slope intercept equation?

y=3-6

y=3x-6

y=3x+6

y=6x+3

34.

What type of slope does the graph have?

Zero

Undefined

Negative

Positive

35.

What does 'b" represent in y=mx=b

y-intercept

macaroni

nothing

slope

36.

Which of the following are ways to find the rate of change?

change in y over change in x

rise over run

subtract y coordinates over subtract x coordinates

all of the above

37.

What is the rate of change for the following graph?

160

38.

In a direct variation, y=39 when x=3. Find the value of y when x=2.

58.5

39.

Is this a direct variation?
y = 2x

yes

40.

Find the n^th term of the following sequence...

5, 9, 13, 17...

4n+1

4n-1

n+4

n-4

41.

U_n = 3n + 1, what is U₁₀?

42.

Write the explicit formula for the sequence shown below.

1, 6, 11, 16

a_n=1+5(n-1)

a_n=1−5(n-1)

a_n=5−(n-1)

a_n=5+(n-1)

43.

Write the equation below in standard form
y = 2/3 x + 5.

-2/3x+y=5

2x - 3y= -15

-6/3x + 3y= 15

-2x+3y=15

44.

Which of these represents point-slope form of a linear equation?

y - y₁ = m(x - x₁)

Ax + By = C

y = mx + b

45.

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?

(-4, 3)

(3, -4)

(-3, -4)

(-4, -3)

46.

For the equation
y + 1 = -3(x - 5),
the line contains the point (5, -1) and has a slope of?

-1

-3

47.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

y +7 = -1/4(x - 4)

y - 4 = -1/4(x + 7)

y+ 7 = 4(x - 4)

y - 7 = -1/4(x - 4)

48.

Convert to slope intercept

y = − 6 /5 x − 3

y = − 6/ 5 x + 3

y = 3/5x + 6

y = 3/5x - 6

49.

Write the standard form equation that passes through (0, -1) and (-6, -9)

-4x +3y = -4

-4x +3y = -3

-4x +3y = 5

-4x +3y = 10

50.

Which equation in standard form has a graph that passes through the point $\left(-4,2\right)$ and has a slope of $\frac{9}{2}$ ?

$9x-2y=36$

$9x-2y=26$

$9x-2y=-40$

$9x-2y=-10$

51.

What is the equation of the line in point slope form given a slope of -12 and a point of (-4, -5)?

y - 5 = -12(x - 4)

y + 4 = -12(x + 5)

y + 5 = -12(x + 4)

y - 12 = -4(x + 5)

52.

Estimate the correlation coefficient for this scatterplot.

A) r = -0.9

B) r = 1

C) r = 0.9

D) r = -1

53.

Describe the relationship between the variables.

A) Weak positive correlation

B) Weak negative correlation

C) Strong positive correlation

D) Strong negative correlation

54.

Positive correlation

Negative correlation

No correlation

55.

Positive correlation

Negative correlation

No correlation

56.

Which example shows CAUSATION? (Which one CAUSED the other to happen.)

High social media usage and reduced grades.

Car ran out of gas and being stranded on the side of the road.

Recess time and number of friends.

57.

Which example shows CAUSATION? (Which one CAUSED the other to happen.)

Rainfall and time spent reading.

Eating more butter and increased divorce rates.

It started raining and the baseball game was delayed.

58.

Data is collected comparing minutes of exercise each day and blood pressure. It is determined that the correlation coefficient is -0.87. What does this mean?

There is a strong negative correlation between exercise and blood pressure.

There is a weak negative correlation between exercise and blood pressure.

There is a strong positive correlation between exercise and blood pressure.

There is no correlation between exercise and blood pressure.

59.

point (5, 3)
Slope 2
Write in point slope form and then convert to slope intercept form

y = 2x - 7

y = 2x + 3

y = 2x + 13

y - 3 = 2(x - 5)

60.

Which of the following represents the equation of the line passing through (-4, 5) PERPENDICULAR to the line y = -1/2x + 5/2?

y = 2x + 13

y = 2x + 5

y = -1/2x + 3

y = -1/4x + 11/2

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Unit 2 Test Prep

Total questions: 60

Worksheet time: 5hrs 0mins

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