Free Printable Fall Semester Exam Review

Worksheets

Fall Semester Exam Review

Total questions: 99

Worksheet time: 7hrs 1mins

Name

Class

Date

8v - 4(v + 8) = 8

-4

2x - 3 + 4x = 27

Solve for v.

-3

Identify if this equation has one solution, infinitely many solutions or no solution.
-3x+1=x+9-4x

one solution

infinitely many

no solution

Solve the equation:
4 - 6x - 2= -2(3x-1)

no solution

infinitely many solutions

x = ⅓

x = 4

-2x + 3(-4x + 6) ≤116

x ≤ -7

x ≥ 29

x ≥ -7

x ≤ 29

4x - 3 < -1x + 12

x > 3

x < 3

x < 5

x > 5

Solve -2 = 4r + s for s.

s = -2 + 4r

s = 2 - 4r

s = -2 - 4r

s = 2 + 4r

Solve:
8x + 4y = 16 , for y

y = -2x + 4

y = 2x - 4

y = 2x + 4

y = -2x - 4

10.

Solve:
12x - 4y = 20 , for y

y = 3x - 5

y = -3x + 5

y = -3x - 5

y = 3x + 5

11.

Solve:
V = πr²h , for h

V/(πr²) = h

V - πr² = h

V + πr² = h

V/π = h

12.

Solve the equation for w. ^{x = w / a}

w = a / x

w = x / a

w = ax

x = wa

13.

Is the following a function?

YES

14.

IS THE FOLLOWING A FUNCTION?

YES

15.

IS THE FOLLOWING A FUNCTION?

YES

16.

DOES THIS GRAPH REPRESENT A FUNCTION?

YES

17.

DOES THE GRAPH REPRESENT A FUNCTION?

YES

18.

What is f(6) for the function f(x)=3x-8

-8

-144

answer not here

19.

$f\left(x\right)=5x-12$ What is $f\left(-4\right)$

-32

-3

-12

20.

$Given\ f\left(x\right)=2x-10\ for\ which\ value\ of\ x\ that\ f\left(x\right)=-12?$

-1

21.

For the function f(x) = 4x + 2, find x such that f(x) = 2.

-2

22.

What is the range of the relation shown on the mapping diagram?

R:{3, 5, 8}

R:{-7, 11}

R:{3, 5, 8, 12}

R:{all real numbers}

23.

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

24.

Find the slope of the line that passes through (10, -8) and
(1, 12).

20/9

-20/9

4/9

9/4

25.

What is the constant rate of change?

Not here.

$80 per month.

$82 per month.

$41 per month.

26.

Which company shows a greater rate of change?

Water's Edge Rafts

Ryan's Rafts

27.

Is this sequence Arithmetic, Geometric, or Neither?
{14, 22, 30, 38, .. }

Arithmetic

Geometric

Neither

28.

Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint: Write your formula and then simplify it.)

a_n=2+6n

a_n=-6+6n

a_n=6n-4

a_n=4-6n

29.

Find the 22nd term of the following sequence:
5, 8, 11, ...

30.

The explicit formula for a sequence is a_n = 5 − 3n. What is the value of a₂₂?

a₂₂= -61

a₂₂= 61

a₂₂= -1

a₂₂= -51

31.

Which EXPLICIT function describes the sequence 500, 250, 125, ... ?

f(1)= 500; f(n)=f(n-1)*1/2

f(x)=1000(1/2)^x

f(x)=1000(2)^x

f(1)=500; f(n)=f(n-1)*2

32.

Which EXPLICIT function describes the sequence 3, 7, 11, 15, ...?

f(1)=3; f(n)=f(n-1)+4

f(1)=4; f(n)=f(n-1)+3

f(x)=3x+4

f(x)=4x-1

33.

Which functions describe the sequence -1, -7, -13, -19, . . .? PICK 2

f(1)= -1; f(n)=f(n-1)-6

f(1)= -1; f(n)=f(n-1)+6

f(x)= 6x+5

f(x)= -6x+5

34.

Mr. Cook is saving money in an account. At the beginning of the year, he has $56 in savings and puts in another $4 per week. Write a function f(x) that models the total amount in the savings account after x, weeks.

f(x) = 56 + 4x

f(x) = 56x + 4

y = 4x + 56

y = -56 - 4x

35.

Tanya is making homemade greeting cards. The data table below represents the amount she spends in dollars, f(x), in terms of the number of cards she makes, x. Write a linear function, f(x) that represents the data.

f(x) = 4.5x + .75

f(x) = .75x + 4.50

f(x) = 4x + 7.5

f(x) = 7.50x + 4

36.

through (-4, 2), slope = 3/4

y=-x+5

y=-5x-1

y=3/4 x + 5

y=5x-1

37.

Find the slope of a line parallel to y=-1/5 x + 4

-1/5

1/5

5/1

-5/1

38.

Find the slope of the line perpendicular to y= -x - 5

-1

undefined

39.

Find the slope of the line perpendicular to y=8

-1/8

undefined

40.

Write the equation for the line in slope-intercept form.

y= -1x+3

y= 4x+3

y=1/4x+3

y= -4x+3

41.

Write the following equation in slope-intercept form:
4x - 3y = 12

y = -4/3x + 3

y = -4x + 12

y = 4/3x - 4

y = 4/3x - 12

42.

Find the x and y intercepts
4x - 5y = 40

x intercept is 10
y intercept is 8

x intercept is 10
y intercept is 20

x intercept is 8
y intercept is 10

x intercept is 10
y intercept is -8

43.

Name the x- and y-intercepts for the equation:
2x + y = 6

(0, 3) and (6, 0)

(0, -3) and (-6, 0)

(3, 0) and (0, 6)

(-3, 0) and (0, -6)

44.

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

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.

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)

47.

The amount of money earned on a job is directly proportional to the number of hours worked. If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?

$308

$1.57

$265

48.

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

58.5

49.

Is this a direct variation?
y=2x

yes

50.

Is this proportional?

yes

51.

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

52.

Michael run a mile about every 10 minutes. Is this discrete or continuous data?

Discrete

Continuous

53.

What is the domain?

-4 < x ≤ 5

-4 ≤ x < 5

-3 < y < 3

-3 ≤ y ≤ 3

54.

Erica received a $20 gift card to Starbucks. The table below shows the relationship between the purchases made and the money left on the card. What does the domain represent?

Number of White Chocolate Mochas purchased

The amount of money left on the card

55.

Sarah is participating in a walkathon to raise money for local literacy programs. The amount of money Sarah will raise depends on the distance she walks.
m = the amount of money Sarah will raise
d = the distance Sarah walks
Is the scenario discrete or continuous?

discrete

continuous

56.

When graphing a discrete function...

Do not connect the dots

Connect the dots

You can't graph discrete functions

There is no such thing as a discrete function

57.

When graphing a continuous function...

Do not connect the dots

Connect the dots

You can't graph continuous functions

There is no such thing as a continuous function

58.

The time it takes for a car battery to die.

Discrete

Continuous

59.

If I am looking for a line parallel to $y=-3x-2$ which one of these equations could it be?

$y=-2x-1$

$y=3x-4$

$y=-3x+6$

$y=-2x-3$

60.

$y=\frac{-2}{7}x+4$ and $y=\frac{7}{2}x-3$ are parallel lines

True

False

61.

y = 3x +2
y = 3x - 3
These lines are...

Parallel

Perpendicular

Neither

The same line

62.

Write the equation of a line PERPENDICULAR to the line y = 3x + 2 that passes through the point (9, -2)

y = -1/3x - 5

y = 3x-29

y = 1/3x -5

y = -1/3x +1

63.

Which transformation will occur if f(x) = x is replaced with f(x) + 2?

Translation left 2 units

Translation right 2 units

Vertical translation up by 2 units.

Reflection across the x-axis.

64.

Which transformation will occur if f(x) = x is replaced with 2f(x)?

Vertical stretch by a factor of 2

Vertical compression by a factor of 1/2

Vertical translation up by 2 units.

Horizontal compression by a factor of 1/2

65.

Which transformation on

f(x) = x

is g(x) = -f(x)

Reflection across the y-axis

The slope will be less steep

The graph will be wider

Reflection across the x-axis.

66.

Which point below is NOT part of the solution set?

(0, 0)

(-10, -10)

(-1, 5)

(5, 20)

67.

Select the graph for y ≥ -3.

68.

Select the graph for 5x+ y ≤ -1 .

69.

Which of the following is not a solution to this system of inequalities?

(0,-1)

(0,3)

(4,0)

(6,-2)

70.

Which system of inequalities matches the graph?

y > 2x - 4
y < 2

y < 2x - 4
y < 2

y > 2x - 4
y < 2

y < 2x - 4
y < -2

71.

Which of the following is a solution to the systems of inequalities?

(0, -2)

(-3, 0)

(-3, 2)

(1, 1)

72.

7x+4y =12
x + 2y = -4

(-4,4)

(4,4)

(4,-4)

(-4,-4)

73.

x + 2y = -4
x - 2y = 8

(2,5)

(2,-3)

(2,-2)

(-3,2)

74.

x -2y = -2
3x - 2y = 6

(4,3)

(-3,4)

(-2,-3)

(-3,-4)

75.

^{What is the solution?}

-2

(1, 2)

(1, -1)

76.

Parallel Lines never intersect because...

they have the same slopes.

they have the same y-intercept.

they have different slopes.

they have different y-intercepts.

77.

Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3

(0,3)

(3,0)

No solution(parallel lines)

Infinitely many solutions

78.

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?

1s + 3c = 38
2s + 3c = 52

3s + 1c = 38
3s + 2c = 52

s + c = 38
s + c = 52

3s + 3c = 38
1s + 2c = 52

79.

Last season two running backs on the Steelers football team rushed a combined total of 1550 yards. One rushed 4 times as many yards as the other. Let x and y represent the number of yards each individual player rushed. Which system of equations could be used?

x + y = 1550
y = 4x

x + y = 1550
y = x + 4

y - x = 1550
y = 4x

y = 1550 + x
y = x + 4

80.

Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out the coins and it came to $6.60. Which system of equations could be used to find the exact number of dimes and nickels?

d + n = 6.60
.10d + .05n = 80

d + n = 80
d + n = 6.60

d + n = 80
.10d + .05n = 6.60

d + n = 80
.05d + .10n = 6.60

81.

Find the exponential model of the function.

y = 100(8.8)^x

y = 100(1.88)^x

y = 100(.88)^x

y = 100(.12)^x

82.

A person travels by car. They record their miles driven in a data table. Calculate the linear regression equation of this data.

y = 61.93x - 1.79

y = -1.79x + 61.93

y = 0.016x + 0.03

y = 0.03x + 0.016

83.

A person travels by car. They record their miles driven in a data table. Calculate the linear regression equation of this data.

y = 61.93x - 1.79

y = -1.79x + 61.93

y = 0.016x + 0.03

y = 0.03x + 0.016

84.

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

f(x)=400(1+3)^x

f(x)=400(1-0.03)^x

f(x)=400(1+0.03)^x

f(x)=400(0.03)^x

85.

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

y=8(15,000)^x

y=15,000(1.08)^x

y=15,000(0.92)^x

y=15,000(0.08)^x

86.

g(x)=3(2)^{x
Find g(3)}

216

87.

An adult takes 800 mg of ibuprofen. Each hour, the amount of ibuprofen in the person’s system decreases by about 29%. How much ibuprofen is left after 6 hours?

101

102

103

104

88.

Your shiny new boat cost $7650. The depreciation for your boat is 14% per year. What is the decay factor?

0.14

1.14

.86

89.

Which of the equations below represent this table?

y=3⋅(36)^x

y=36⋅(3)^x

y=3⋅(⅓)^x

y=36⋅(⅓)^x

90.

Write the equation that represents the table below:

y=½(4)^x

y=2(4)^x

y=4(2)^x

y=4(½)^x

91.

The correlation coefficient is a number "r" such that:

-1<r<1

-1>r>1

-1≤r≤1

-1≥r≤1

92.

r=-0.89

Strong positive

Weak positive

Strong negative

Weak negative

93.

r=0.3

Strong positive

Weak positive

Strong negative

Weak negative

94.

Is there causation in the following situation? The number of miles driven and the amount of gas used.

Causation

Not causation

95.

Is there causation in the following situation? There is a strong correlation between the amount of serious crime committed and the amount of ice cream sold by street vendors.

Causation

Not causation

96.

Is the pictured graph growth, decay, or linear or none?

Growth

Decay

Linear

None

97.

Identify the y-intercept (initial value) of the function f(x)=2(4)^x.

(2)^x

98.

What is the range of f(x) = 5^x?

-∞ ≤ x ≤ ∞

-∞ ≤ y ≤ ∞

x > 0

y > 0

99.

Given y=3^xdetermine the asymptote

(0,1)

(0,3)

x=0

y=0

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Fall Semester Exam Review

Total questions: 99

Worksheet time: 7hrs 1mins

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