Free Printable Algebra Midterm Review

1.

What is the y-intercept of the function?

a)

2

b)

3

c)

1

d)

-2

2.

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

a)

y=6(0.14)^x

b)

y=6(1+14)^x

c)

y=6(1.14)^x

d)

y=6(0.86)^x

3.

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

a)

y = 15(35)^x

b)

y = 15(1.35)^x

c)

y = 15(0.35)^x

d)

y = 35(1.15)^x

4.

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

a)

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

b)

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

c)

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

d)

f(x)=400(0.03)^x

5.

A new savings account is opened with $400 and gains 3% every yr. What's the amount after 5 years?

a)

$415

b)

$463.71

c)

$343.49

d)

$460.12

6.

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

a)

y=8(15,000)^x

b)

y=15,000(1.08)^x

c)

y=15,000(0.92)^x

d)

y=15,000(0.08)^x

7.

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the value after 7 years?

a)

$800

b)

$8367.70

c)

$6600

d)

$25,707.36

8.

Pick the equation that is exponential decay

a)

y = 2000(0.88)^x

b)

y = 0.5(1.88)^x

c)

y = 10(3/2)^x

d)

y = 0.8(13)^x

9.

Suppose the population of a species of insects doubles every year. There are 1600 insects initially. The function for the scenario would be?

a)

$f\left(x\right)=2x+1600$

b)

$f\left(x\right)=1600\times2$

c)

$f\left(x\right)=1600\cdot2^x$

10.

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

a)

300

b)

1.16

c)

.16

d)

x

11.

Is the graph linear, exponential or neither?

a)

Linear

b)

Exponential

c)

Neither

12.

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

a)

Growth

b)

Decay

c)

Linear

d)

None

13.

Let w(x) = 3x - 7. If w(x) = 14, find x.

a)

7

b)

35

c)

2.33333

d)

-49

14.

a)

f(-2) = -1

b)

f(-2) = -9

c)

f(-2) = 9

d)

f(-2) = 0

15.

r(-2) = ?

a)

r(-2) = -12

b)

r(-2) = -8

c)

r(-2) = -4

d)

r(-2) = -2

16.

f(x)=x²-5x
f(4)=

a)

-4

b)

126

c)

24

d)

84

17.

A company is selling bubble gum. The function g(x)=3x+4 tells the company how much to charge if someone buys x packages of bubble gum. Find g(8) and tell what it means within the context of the problem.

a)

g(8)=8. This means that after 8 packages of gum, the company makes $8.

b)

g(8)=42. This means that 8 packages of gum costs $42.

c)

g(8)=28. This means that 8 packages of gum costs $28.

d)

g(8)=24. This means that 8 packages of gum costs $24.

18.

f(t) = −2t²+ 1

f(2) = ?

a)

9

b)

17

c)

−17

d)

−7

19.

5z - 2 - 2z < 13

a)

z > 5

b)

z < 5

c)

z > 1

d)

z < 1

20.

a)

h > 10

b)

h > -10

c)

h < 10

d)

h < -10

21.

Will my dot be colored in?
5 ≥ x

a)

Yes

b)

No

22.

Solve the inequality.

30 + n ≥ 50

a)

n ≥ 50

b)

x ≥ 80

c)

n ≤ 30

d)

n ≥ 20

23.

Solve the inequality

a)

x ≥ -7

b)

x ≤ -7

c)

x ≤ -15

d)

x ≥ -15

24.

Solve:
7(x + 3) < 5x + 13

a)

x>-4

b)

x < 17

c)

x<-4

d)

x > -17

25.

6x + 2 + 6x < 14

a)

x < 1

b)

x > 1

c)

x < -1

d)

x > -1

26.

Is the graph linear, exponential or neither?

a)

Linear

b)

Exponential

c)

Neither

27.

Function or not a function?

a)

Function

b)

Not a Function

28.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

29.

Function? Or not a function?

a)

Function

b)

Not a Function

30.

Function or not a function?

a)

Function

b)

Not a Function

31.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

32.

Solve for v.

a)

60

b)

-3

c)

15

d)

3

33.

a)

x = 24

b)

x = 12

c)

x = 17.5

d)

x = 19.5

34.

6 ( 2n + 5 ) = 66

a)

3

b)

5.08

c)

8

d)

432

35.

$97=-3\left(6n-5\right)-8$

a)

$-10$

b)

$16$

c)

$-5$

d)

$-2$

36.

Solve for x:

-7x-36=20-3x

a)

x=14

b)

x=-14

c)

x= 11

d)

x= -5

37.

-3x - 32 = -2(5 - 4x)

a)

-3

b)

2

c)

-2

d)

3

38.

3(x+4) = 2(x-1)

a)

-14

b)

7

c)

14

d)

-7

39.

$-3\left(1+6r\right)=2r+17$

a)

r = -1

b)

r = -2

c)

r = 10

d)

r = 4

40.

$3\left(x+1\right)=5+x$

a)

x = 1

b)

x = -1

c)

x = 2

d)

x = 4

41.

Solve the equation
$12y-15=3(2y+3)$

a)

y = 4

b)

y = -4

c)

y = 2

d)

y = -2

42.

Solve for variable x

a)

-2/5 or -0.4

b)

-5/2 or -2.5

c)

5/2 or 2.5

d)

2/5 or 0.4

43.

What is the value of x?

a)

9.6

b)

-9.6

c)

1.6

d)

-1.6

44.

What is the value of x?

a)

1.3

b)

1.73

c)

-1.73

d)

14

45.

$-3x\ +2c\ =\ 3\ \ \ \ \ \ \ \ solve\ for\ x$

a)

$x=\frac{3-2c}{-3}$

b)

$x\ =\ 6+2c$

c)

$x\ =\ 6-2c$

d)

$x\ =\ \frac{3+2c}{3}$

46.

$Given\ ax-b=c,\ solve\ for\ x.\$

a)

$x\ =\ \frac{c+b}{a}$

b)

$x\ =\ \frac{c-b}{a}$

c)

$x\ =\ \frac{a+b}{c}$

d)

$x\ =\ \frac{c+a}{b}$

47.

$Given\ d=rt,\ solve\ for\ r.\$

a)

$r=\frac{t}{d}$

b)

$t\ =\ \frac{d}{r}$

c)

$d=\frac{r}{t}$

d)

$r=\frac{d}{t}$

48.

$Given\ V=lwh,\ solve\ for\ l.$

a)

$l=\frac{Vw}{h}$

b)

$l=\frac{V}{wh}$

c)

$l=\frac{Vh}{w}$

d)

$l=\frac{wh}{V}$

49.

$Solve\ y\ =\ mx\ +\ b\ for\ x.$

a)

$x=\frac{\left(y-b\right)}{m}$

b)

$x\ =\ y-\frac{b}{m}$

c)

$x=\frac{y}{m}-b$

50.

Solve for x:
$m\ =\frac{x+y}{2}$

a)

$\ 2m-y=x$

b)

$\frac{2m}{y}=x$

c)

$\frac{m-y}{2}=x$

d)

$2\left(m-y\right)=x$

51.

Solve for w undefined

a)

$w=\frac{2P}{l}$

b)

$w=\frac{2l+P}{2}$

c)

$w=\frac{l+P}{2}$

d)

$w=\frac{P-2l}{2}$

52.

Solve for b $A=\frac{bh}{2}$

a)

$b=\frac{2h}{A}$

b)

$b=\frac{h}{2A}$

c)

$b=\frac{A}{2h}$

d)

$b=\frac{2A}{h}$

53.

$Given\ xy\ +\ w\ =\ 9,\ solve\ for\ y.$

a)

$y=\frac{9+w}{x}$

b)

$y=\frac{9-x}{w}$

c)

$y=\frac{9-w}{x}$

d)

$y=\frac{9+x}{wy}$

54.

Solve the system:
3x + y = 19
2x - y = 6

a)

(5, 14)

b)

(4, 5)

c)

(5, 4)

d)

(14, 5)

55.

Solve the system:
x + 6y = 17
x - 3y = 8

a)

(5, 2)

b)

(11, 1)

c)

(1, 11)

d)

no solution

56.

3x - 3y = 33
6x - 3y = 57

a)

(8,-3)

b)

(-3,8)

c)

(10,1)

d)

(10,-1)

57.

-4x-2y=-12
4x+8y=-24

a)

(5,6)

b)

(6,-6)

c)

(6,-2)

d)

(4,-3)

58.

Solve the system

2m + 3n = 6

-m + 2n = 5

a)

n = 2

b)

( 2, -1 )

c)

( 2 , 1 )

d)

( -1, 2 )

59.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(0, 1)

60.

Solve the system using Multiplication.
2x + 3y = 12
5x - y = 13

a)

x = -3, y = -2

b)

x = 1.5, y = 2

c)

x = 6, y = 0

d)

x = 3, y = 2

61.

What number should we multiply by and on which equation?
2x + 10y = -20
-x + 4y = 28

a)

bottom, 2

b)

bottom, -2

c)

top, -1

d)

top, -2

62.

What number should we multiply by and on which equation?
2x + 10y = -20
-x + 4y = 28

a)

bottom, 2

b)

bottom, -2

c)

top, -1

d)

top, -2

63.

5x + 16y = -16
-9x - 8y = 8
Multiply bottom equation by 2

a)

(3, 1)

b)

(3, -1)

c)

(-3, -1)

d)

(0, -1)

64.

Nancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?

a)

4x + 6y = 3
13.5x - 13y = 6

b)

x + y = 4
x - y = 6

c)

4x + 6y = 13
3x + 7y = 13.5

d)

4x - 6y = 13
3x - 7y = 13.5

65.

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, which system could be used to find how many of each type of ticket were sold?

a)

S + A = 530
3S + 4A = 1740

b)

S + A = 530
4S + 3A = 1740

c)

S + A = 1740
3S + 4A = 530

d)

S + A = 1740
4S + 3A = 530

66.

1. The cost of 5 squash and 2 zucchini is $1.32. Three squash and 1 zucchini cost $0.75. Write a system of equations.

a)

5q + 2z = 1.32
1z = 0.75

b)

5q + 2z = 1.32
3q + 1z = 0.75

c)

q + z = 1.32
q + z = 0.75

d)

5q + 2z = 0.75
3q + 1z = 1.32

67.

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the coffee. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?

a)

10c + 5d = 14.25
5c + 10d = 16.50

b)

10c + 5d = 16.50
5c + 10d = 14.25

c)

c + d = 10
5c + 10d = 16.50

d)

c + d = 5
5c + 10d = 16.50

68.

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Solve the system:
x + y = 21
6x + 4y = 104

a)

(10, 11)

b)

(12, 9)

c)

(11, 10)

d)

(9, 12)

69.

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. How many of each type of ticket were sold?

a)

10 adults, 11 children

b)

12 adults , 9 children

c)

11 adults, 10 children

d)

9 adults, 12 children

70.

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined.

a)

35 nachos, 52 sodas

b)

18 nachos, 69 sodas

c)

52 nachos, 35 sodas

d)

61 nachos, 26 sodas

71.

Your family goes to a restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for $14.80 and some order steak for $17. If the total bill was $91, how many of each kind of dinner was purchased?

a)

3 chicken, 3 steak

b)

5 chicken, 1 steak

c)

1 chicken, 5 steak

d)

4 chicken, 2 steak

72.

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?

a)

y = 9.65 + x
y = 8.40 + x

b)

y = 9.65x + 43
y = 8.40x + 58

c)

y =9.65x
y = 8.40x

d)

y = 9.65x - 43
y = 8.40x - 58

73.

A restaurant sells pizza for the prices in the data table. Calculate the linear regression equation of the data.

a)

y = 1.5x + 12

b)

y = 12x + 1.5

c)

y = 0.67x - 8

d)

y = -8x + 0.67

74.

Describe the correlation in the graph shown.

a)

Strong Negative

b)

Strong Positive

c)

Weak Negative

d)

Weak Positive

75.

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

a)

y = 61.93x - 1.79

b)

y = -1.79x + 61.93

c)

y = 0.016x + 0.03

d)

y = 0.03x + 0.016

76.

The chart below tracts starting salaries for health care workers since the year 2000. Using linear regression, find the equation of best fit. Round decimals to 3 places.

a)

y = 839.721x + 27541.812

b)

y = 27541.812x - 839.721

c)

y = 27541.812x + 839.721

d)

y = 839.721x - 27541.812

77.

Find the equation of the line of best fit for the given data

a)

y = 163.41x+1.49

b)

y =- 163.41x+ 4.19

c)

y =- 4.19x+163.41

d)

y = 4.19x -163.41

78.

Find the equation of the Line of Best Fit from the data set.

a)

y = 0.892x - 1.82

b)

y = 1.82x - 5.02

c)

y = 0.796x + 5.02

d)

y = 1.82x + 5.02

79.

The table shown is comparing a person's foot length to their height in cm. Calculate a line of best fit.

a)

f(x) = 25.05x + 5.57

b)

f(x) = 5.57x + 25.05

c)

f(x) = -5.57x + 25.05

d)

f(x) = 5.57x - 25.05

80.

If Joe worked 30 hours, how much is he expected to earn?

a)

$600

b)

$200

c)

$1000

d)

$800

81.

Which kind of sequence has a common ratio?

a)

Arithmetic

b)

Geometric

82.

Which kind of sequence has a common difference?

a)

Arithmetic

b)

Geometric

83.

Is this sequence arithmetic, geometric, or neither?
{26, 22, 18, 14, ...}

a)

Arithmetic

b)

Geometric

c)

Neither

84.

Is this sequence Arithmetic, Geometric, or Neither?
{2, 9, 7, 14, 12, 19, ... }

a)

Arithmetic

b)

Geometric

c)

Neither

85.

What kind of sequence is illustrated below?
400, 200, 100, 50, 25, ...

a)

Arithmetic

b)

Geometric

c)

Neither

86.

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

a)

a_n=2+6n

b)

a_n=-6+6n

c)

a_n=6n-4

d)

a_n=4-6n

87.

Identify the common difference.
97, 86, 75, 64, ...

a)

8

b)

11

c)

-11

d)

-8

88.

Find the 32nd term of this sequence.
34, 37, 40, 43, ...

a)

32

b)

64

c)

127

d)

356

89.

Find the 25th term of the sequence if a₁ = 5 and d = 0.5

a)

18

b)

17

c)

15

d)

14

90.

You have $10 in you bank account. It doubles every month. How much money will you have after 5 months?

a)

$50

b)

$35

c)

$320

d)

$250

91.

What is the 8th term in the sequence below?
3, 9, 27, 81, ...

a)

19,683

b)

6,561

c)

2,187

d)

729

92.

What is the 38th term of this sequence?
{26, 22, 18, 14, ... }

a)

-4

b)

10

c)

-122

d)

174

93.

Which of the following best describes this sequence?

\left\{135,\ 45,\ 15,\ 5,\ ...\right\}

a)

An arithmetic sequence with a common ratio of $\frac{1}{3}$

b)

A geometric sequence with a common difference of 3.

c)

An arithmetic sequence with a common difference of 3.

d)

A geometric sequence with a common ratio of $\frac{1}{3}$

94.

Find the explicit formula:

8, 14, 20, 26, ...

a)

aₙ = 6n + 2

b)

aₙ = 8n + 6

c)

aₙ = 2n + 6

d)

aₙ = 6n + 8

95.

Simplify the expression: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

96.

Simplify the following expression:
-6x + 4(-x - 3)

a)

-2x - 12

b)

10x + 12

c)

-10x - 12

d)

-2x + 12

97.

Simplify the expression: 7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

98.

Simplify by combining like terms:
4x² - 3x + 11 -2x

a)

4x² - 5x + 11

b)

11x + 11

c)

16x² - 5x + 11

d)

10x²

99.

Simplify the expression.

$-2x+11+6x$

Enter your simplified expression below. Write the term with x first and do not use spaces.

(a)

100.

Simplify the expression.

$-10.5x+9-4.15x-1$

a)

$4.65x+8$

b)

$-1.5x+3.15x$

c)

$-4.65x+8$

d)

$6.35x+8$

101.

a)

b)

c)

d)

102.

Which runner had a head start?

a)

A

b)

B

c)

C

103.

How long did it take this object to travel 10 m?

a)

0 s

b)

10 s

c)

15 s

d)

20 s

104.

What happened during A to B point?

a)

not moving

b)

increasing speed at a constant rate

c)

moving at a constant speed

d)

moving at 10 m/s²acceleration

105.

Which line(s) show a negative acceleration ?

a)

A

b)

B and C

c)

D

d)

A, B, and
A, B, and D

106.

During which interval is the object slowing down?

a)

A to B

b)

D to E

c)

E to F

d)

G to H

107.

During which interval is the object not moving?

a)

B to C

b)

C to D

c)

D to E

d)

only at point A

Algebra Midterm Review

Total questions: 107

Worksheet time: 10hrs 4mins

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