Free Printable Alg 1 Spring Exam Review

1.

Evaluate this expression using the quotient rule.

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

2.

(2ab)³

a)

8a³b³

b)

2ab³

c)

6a³b³

d)

6ab

3.

(y⁹)^-2

a)

y¹⁸

b)

y¹¹

c)

1/y¹⁸

d)

y⁹/2

4.

Evaluate the expression using the quotient rule.

a)

3⁴

b)

1/3⁴

c)

3^-12

d)

3³²

5.

y⁻¹¹⋅y⁵

a)

1⁄y⁶

b)

y⁶

c)

-y⁶

d)

-1⁄y⁶

6.

a)

A

b)

B

c)

C

d)

D

7.

Power to a Power Law states: keep the base the same and do this to the exponents.

a)

multiply

b)

add

c)

subtract

d)

divide

8.

Division Law states: keep the base the same and do this to the exponents.

a)

multiply

b)

add

c)

subtract

d)

divide

9.

Zero Exponent Law states that _____ becomes a 1.

a)

the exponent

b)

the base

c)

nothing

d)

the whole term

10.

Simplify:
(3t²)³

a)

9t⁶

b)

9t⁵

c)

27t⁶

d)

27t⁵

11.

Simplify (-5.7)⁰

a)

1

b)

0

c)

-1

d)

-5.7

12.

According to exponent rules, when we multiply the same base we _______ the exponents.

a)

Multiply

b)

Add

c)

Divide

d)

Subtract

13.

Simplify the following expression:
xy^-7

a)

1/(xy⁷)

b)

x/y⁷

c)

x⁷/y

d)

x⁷y

14.

Which number is the BASE?
2³= 8

a)

2

b)

3

c)

8

15.

Write the following expression in radical form:

a)

a.)

b)

b.)

c)

c.)

d)

d.)

16.

Write the following expression in radical form:

a)

a.)

b)

b.)

c)

c.)

d)

d.)

17.

Write the following expression in exponential form:

a)

a.)

b)

b.)

c)

c.)

d)

d.)

18.

Write the following expression in exponential form:

a)

a.)

b)

b.)

c)

c.)

d)

d.)

19.

Write the following expression in exponential form:

a)

a.)

b)

b.)

c)

c.)

d)

d.)

20.

Simplify the following expression:

a)

5

b)

25

c)

125

d)

625

21.

Simplify:

a)

2

b)

8

c)

16

d)

32

22.

Simplify:

a)

2

b)

4

c)

8

d)

16

23.

Simplify the following expression:

a)

16

b)

32

c)

40

d)

64

24.

Simplify the following expression:

a)

2

b)

4

c)

16

d)

64

25.

Simplify:

a)

2

b)

4

c)

16

d)

64

26.

Simplify:

a)

6

b)

12

c)

36

d)

432

27.

What type of function is f(x)=2(1/7)^x ?

a)

Exponential Growth

b)

Linear

c)

Exponential Decay

d)

None of the Abovee

28.

What type of function is y = 7(5/4)^x?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None of the above

29.

Is this exponential growth or decay?

a)

Growth

b)

Decay

30.

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

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None

31.

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

32.

What is the x-intercept of the exponential function?

a)

(0,1)

b)

(0,0)

c)

There is not one

33.

What does the y-intercept of the graph represent?

a)

The amount of grams the material is gaining.

b)

The amount of grams the material is losing.

c)

The amount of grams remaining after so many years.

d)

The initial amount of grams.

34.

Which of the following is an increasing exponential function whose y-intercept is 50?

a)

y = 50(.05)^x

b)

y = 50x - 4

c)

y = (2)^x + 50

d)

y = 50(1.4)^x

35.

The amount of ants in a colony, f, that is decaying can be modeled by f(x) = 800(.87)^x, where x is the number of days since the decay started. By what percentage is the colony decaying?

a)

87%

b)

13%

c)

800%

d)

8.7%

36.

The amount of ants in a colony, f, that is decaying can be modeled by

f(x) = 800(.87)^x, where x is the number of days since the decay started. Suppose f(20) = 49. Which of the following is true?

a)

After 20 days, there are 49 ants in the colony.

b)

After 49 days there are 20 ants in the colony.

c)

The amount of ants times 20 is 49.

d)

After 20 days the amount of ants remaining decreases by 49.

37.

The amount of downloads for an album on iTunes, g(d), where d is the number of days since the album was first uploaded can be represented as

g(d) = 5^1.5d

How many downloads will the album have after 3 days?

a)

125 downloads

b)

11 downloads

c)

1398 downloads

d)

140 downloads

38.

A collectible car has been going up in price by 10% each year. If the car is already worth $29,000, how much will the car be worth in 5 years?

a)

$0.29

b)

$2,900,000,000

c)

$46,704.79

d)

$145,000

39.

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.
Is the population of elephants increasing or decreasing?

a)

Increasing

b)

Decreasing

40.

Is the graph exponential growth or decay?

a)

Exponential growth

b)

Exponential decay

41.

Is the following function exponential growth, exponential decay, linear, or none of the above.
g(x) = 740(.001)^3x

a)

Exponential growth

b)

Exponential decay

c)

Linear

d)

None of the above

42.

Mark took a loan out for $25,690 to purchase a truck. At an interest rate of 5.2% compounded monthly, how much total will he have paid after 5 years?

a)

$33,299.42

b)

$33,672.68

c)

$34,157.04

d)

$34,710.88

43.

Olivia would like to buy some new furniture for her home. She decides to buy the furniture on credit with 9.5% interest compounded quarterly. If she spent $7,400, how much total will she have paid after 8 years?

a)

$15,415.94

b)

$15,683.28

c)

$15,927.56

d)

$16,349.72

44.

Riley invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually,how much interest will Riley earn in 15 years?

a)

$1,584.62

b)

$1,651.39

c)

$1,706.86

d)

$1,893.45

45.

What type of pattern do exponential functions have?

a)

Adds by the same number every time

b)

Multiplies by the same number every time

c)

Square roots all the inputs

d)

Squares all the inputs

46.

What type of pattern do linear functions have?

a)

Adds by the same number every time

b)

Multiplies by the same number every time

c)

Square roots all the inputs

d)

Squares all the inputs

47.

In an exponential function, what does the 'a' represent?

a)

Slope

b)

Rate of change

c)

Y-intercept

d)

Growth/Decay Factor

48.

In an exponential function, what does the 'b' represent?

a)

Slope

b)

Rate of change

c)

Y-intercept

d)

Growth/Decay Factor

49.

Is the table linear, exponential, or neither?

a)

Linear

b)

Exponential

c)

Neither

50.

Is the table linear, exponential, or neither?

a)

Linear

b)

Exponential

c)

Nether

51.

Solve: 2^x = 4^x+1

a)

x = -2

b)

x = 2

c)

x = -3

d)

x = 3

52.

Solve: 9^8-x = 27^x-3

a)

x = 5

b)

x = -5

c)

x = 1/5

d)

x = -1/5

53.

Sovle for x:
5^{-3x - 1} = 25

a)

x = -1

b)

x = -4

c)

x = -3

d)

x = 1

54.

Solve for x:
3^2x = 27^{x - 4}

a)

x = 12

b)

x = 4

c)

x = -4

d)

x = 1

55.

Solve for p:
4^p+2 = 64

a)

p = -16/9

b)

p = 1

c)

p = 8

d)

p = 7/6

56.

Solve for x:

9^x+8= 81

a)

x = 2

b)

x = - 6

c)

x = 6

d)

x = 8

57.

2^-m= 2^3m-3

a)

m = 4/3

b)

m = 3/4

c)

m = 2

d)

m = 1

58.

10^2x+4 =100000

a)

x=7

b)

x=20

c)

x=-1/2

d)

x=1/2

59.

81^3-x = (1/3)^5x-6

a)

x = 6

b)

x = - 6

c)

x = 9/2

d)

x = 3/2

60.

Solve for x:
(1/8)^x = 2³

a)

x=−3

b)

x=3

c)

x=−1

d)

x=1

61.

What does r represent?

a)

Radical

b)

Common difference

c)

Common ratio

62.

Find the common ratio for the geometric sequence.

a)

r = 10

b)

r = 1/2

c)

r = 2

d)

r = 4

63.

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___, ...

a)

1024, 2048, 4096

b)

32, 8, 2

c)

64, 32, 16

d)

92, 66, 38

64.

Is the sequence 2, 4, 12, 48,... geometric?

a)

yes

b)

no

65.

Find the common ratio: 64, -16, 4, -1, ...

a)

r = -8

b)

r = -1/4

c)

r = -4

d)

r = 4

66.

Find the common ratio: 4, -16, 64, -256, ...

a)

r = -4

b)

r = 2

c)

r = -2

d)

r = 4

67.

Determine whether the sequence is arithmetic, geometric, or neither.

a)

arithmetic

b)

geometric

c)

neither

68.

Determine whether the sequence is arithmetic, geometric, or neither.

a)

arithmetic

b)

geometric

c)

neither

69.

Find the common ratio for the geometric sequence.

a)

r = 1

b)

r = -1

c)

r = 7

d)

r = -7

70.

Find the common ratio for the geometric sequence.

a)

r = - 4

b)

r = 4

c)

r = 1/4

d)

r = -1/4

71.

In this formula, each term is expressed as a function of its preceding term or terms.

a)

Recursive Formula

b)

Explicit Formula

72.

The idea of this formula can be compared to climbing a ladder.

a)

Recursive Formula

b)

Explicit Formula

73.

This formula will produce a sequence using n which is the position of a term in a sequence.

a)

Recursive Formula

b)

Explicit Formula

74.

This formula defines the sequence in terms of n

a)

Recursively Formula

b)

Explicit Formula

75.

Write a recursive formula for the sequence -4, -6, -8, -10, … .

a)

$a_n=a_{n+1}+2$

b)

$a_n=a_{n-1}+2a$

c)

$a_n=a_{n-1}-2$

d)

$a_n=a_{n-1}+2$

76.

Express the sequence 19, 13, 7, 1, … recursively.

a)

$a_n=a_{n-1}-6$

b)

$a_n=a_{n-1}+6$

c)

$a_n=a_{n+1}-6$

d)

$a_n=a_{n+1}+6$

77.

Give the first three terms of the sequence whose explicit formula is $a_n=3n+5$ .

a)

8, 11, 14

b)

9, 10, 11

c)

15, 30, 45

d)

1, 2, 3

78.

Find the 10th term the sequence that is expressed explicitly $a_n=27+7n$ .

a)

$a_{10}=$ 44

b)

$a_{10}=$ 1980

c)

$a_{10}=$ 1890

d)

$a_{10}=$ 1578

79.

Find the first term of the the explicit formula $a_n=4\cdot2^{n-1}$ .

a)

$a_{1\ }=$ 0

b)

$a_1=$ 4

c)

$a_1=$ 1

d)

$a_1=$ 8

80.

Recursive formula rely on the preceding term or the last known term to get the next term.

a)

True

b)

False

81.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

82.

What are the green dots called?

a)

axis of symmetry

b)

vertex

c)

parabola

d)

roots or x-intercepts

83.

What is the green dot on the parabola called?

a)

maximum

b)

minumum

c)

roots

d)

zeros

84.

Does this parabola have a maximum or minimum?

a)

Maximum

b)

Minimum

85.

Find the y-intercept of f(x) = 2x²- 2x + 1

a)

2

b)

-2

c)

1

d)

-1

86.

Determine the vertex of the parabola:
y = 5x²- 20x + 13

a)

(5, -7)

b)

(-2, -7)

c)

(2, -7)

d)

(-7, -2)

87.

The axis of symmetry line passes through which point?

a)

y-intercept

b)

any random point

c)

vertex

d)

none of these

88.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

89.

What is the vertex?

a)

(2, 4)

b)

(3, -1)

c)

(0, 8)

d)

(4, 2)

90.

Factor
n²-13n+40

a)

(n-5)(n-8)

b)

(n+5)(n-8)

c)

(n-5)(n+8)

d)

(n+6)(n+1)

91.

Does this graph have a maximum or a minimum?

a)

Maximum

b)

Minimum

92.

What is the range of this quadratic graph?

a)

y ≥ 0

b)

y ≤ 0

c)

ℝ

d)

y ≥ -1

93.

What is the domain of this quadratic graph?

a)

y ≥ 0

b)

y ≤ 0

c)

ℝ

d)

y ≥ -1

94.

Does this question have a maximum or a minimum?

a)

Maximum

b)

Minimum

95.

What is the range of this quadratic graph?

a)

y ≥ 3

b)

y ≤ 3

c)

ℝ

d)

y ≤ 2

96.

What is the domain of this quadratic graph?

a)

y ≥ 3

b)

y ≤ 3

c)

ℝ

d)

y ≤ 2

97.

Using your calculator, graph y = 2x² + 4x - 3 and identify the max or min.

a)

Max: (-1, -5)

b)

Min: (-1, -5)

c)

Max: (-5, -1)

d)

Min: (-5, -1)

98.

Using your calculator, graph y = -3x² + 6x - 5 and identify the max or min.

a)

Max: (1, -2)

b)

Min: (1, -2)

c)

Max: (-2, 1)

d)

Min: (-2, 1)

99.

What is the maximum height of the ball?

a)

0.5 feet

b)

9 feet

c)

0 feet

d)

5 feet

100.

When did the ball reach it's maximum height?

a)

0.5 seconds

b)

9 seconds

c)

0 seconds

d)

5 seconds

101.

When did the ball hit the ground?

a)

1.25 seconds

b)

0.5 seconds

c)

9 seconds

d)

0 seconds

102.

What is the maximum height of the javelin?

a)

2 feet

b)

70 feet

c)

0 feet

d)

6 feet

103.

When did the javelin reach it's maximum height?

a)

2 seconds

b)

70 seconds

c)

0 seconds

d)

6 seconds

104.

When did the javelin hit the ground?

a)

4.09 seconds

b)

2 seconds

c)

70 seconds

d)

6 seconds

105.

a)

b)

c)

d)

106.

a)

b)

c)

d)

107.

a)

b)

c)

d)

108.

a)

b)

c)

d)

109.

a)

b)

c)

d)

110.

a)

b)

c)

d)

111.

Which equation is in standard form?

a)

y=a(x-h)²+k

b)

y=ax²+bx+c

112.

Where is the axis of symmetry for this parabola?

a)

x = −1

b)

x = 0

c)

y = 3

d)

x = −3

113.

What is the axis of symmetry?
f(x) = x²- 8x + 15.

a)

x = -4

b)

x = 4

c)

y = 4

d)

y = -4

114.

What is the axis of symmetry?
y = 3x²- 6x + 4

a)

x=1

b)

x=-6

c)

x=2

d)

x=-1

115.

Find the Vertex: y= -5x²-20x - 26

a)

(-2, -6)

b)

(2, 6)

c)

(6,2)

d)

(3, 6)

116.

What is the vertex?
f(x) = -x²- 4x + 12.

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

117.

What is the vertex?
y = -2x² + 4x + 3

a)

(0, 3)

b)

(-1, 5)

c)

(1, 5)

d)

(1, -5)

118.

What is the range of the function graphed above?

a)

y ≥ -2

b)

y ≤ 4

c)

y ≥ 4

d)

y ≤ -2

119.

What is the range of the parabola above?

a)

y ≤ 2

b)

y ≥ 2

c)

y ≤ 3

d)

y ≥ 3

120.

Which of the following is not the same as "solution"?

a)

x-intercept

b)

roots

c)

zeros

d)

y-intercept

121.

What is the y-intercept of the equation
y = 2x²+8x+3?

a)

(0,3)

b)

(3,0)

c)

(0,2)

d)

y=8

122.

What is the vertex of the graph?

a)

(2, 4)

b)

(3, -1)

c)

(0, 8)

d)

(4, 2)

123.

How does the parabola open? y = - x²+ 4x - 1

a)

up

b)

down

c)

left

d)

right

124.

What is the vertex of y= x²- 8x + 14 ?

a)

(2, 4)

b)

(-4, -2)

c)

(4, -2)

d)

(-2, 4)

125.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

126.

What are the green dots called?

a)

axis of symmetry

b)

vertex

c)

parabola

d)

roots or x-intercepts

127.

If a is negative in the function, which way does the parabola open?

a)

up

b)

down

c)

left

d)

right

128.

What is the domain of all quadratic functions?

a)

x ≥ 0

b)

x ≤ 0

c)

All real numbers

129.

Is this point (the vertex) a max or min?

a)

max

b)

min

130.

What are the Zeroes for this graph?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

131.

What are the green dots called?

a)

axis of symmetry

b)

vertex

c)

parabola

d)

roots or x-intercepts

132.

What is the green dot on the parabola called?

a)

maximum

b)

minimum

c)

roots

d)

zeros

133.

Does this parabola have a maximum or minimum?

a)

Maximum

b)

Minimum

134.

Determine the vertex of the parabola:
y = 5x²- 20x + 13

a)

(5, -7)

b)

(-2, -7)

c)

(2, -7)

d)

(-7, -2)

135.

The axis of symmetry line passes through which point?

a)

y-intercept

b)

any random point

c)

vertex

d)

none of these

136.

What are the x-intercepts (zeros)?

a)

x = -2 and x = 2

b)

x = -1 and x = 1

c)

x = 0

d)

x = 2 and x = -4

137.

What is the equation for the axis of symmetry?

a)

x = -1

b)

x = 8

c)

x = 1

d)

x = -3

138.

Which best describes the height of the football at 2 seconds?

a)

10 feet

b)

22 feet

c)

6 feet

d)

31 feet

139.

Whats the vertex and what does it mean?

a)

(1.4, 31); At 1.4 seconds the football is at a maximum height of 31 ft

b)

(31, 1.4); At 1.4 seconds the football is at a maximum height of 31 ft

c)

31; The max height of the ball

d)

6 feet is the height the ball is thrown from

140.

Whats the y-intercept and what does it mean?

a)

(1.4, 31); At 1.4 seconds the football is at a maximum height of 31 ft

b)

6; The ball lands at 6 seconds

c)

31; The max height of the ball

d)

6; 6 feet is the height the ball is thrown from

141.

Does this parabola have a maximum or minimum?

a)

maximum

b)

minimum

142.

What quantity of pints of medicine produced is expected to have the highest profit?

a)

100

b)

200

c)

400

d)

700

143.

Name the zero(s)?

a)

0

b)

4 and 2

c)

2

d)

0 and 4

144.

What is the green dashed line called?

a)

roots or x-intercepts

b)

parabola

c)

line of symmetry or axis of symmetry

d)

vertex

145.

Find the x-intercepts:
y = x²+9x+18

a)

-6 and -3

b)

6 and 3

c)

-6 and 3

d)

6 and -3

146.

Find the x-intercepts y = x²-5x-36

a)

9 and -4

b)

-9 and 4

c)

3 and -12

d)

-3 and 12

147.

Find the vertex of
f(x) = -x²- 4x + 12.

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

148.

How many solutions (x-intercepts) does the quadratic have?

a)

Two Solutions

b)

One Solution

c)

0 Solutions

d)

I don't know

149.

What are the roots of the equation
x² + 11x -42 = 0

a)

-3, -14

b)

3, -14

c)

-3, 14

d)

3, 14

150.

Find the zeros.

a)

0 and 4

b)

0 and -4

c)

0

d)

-4

151.

What is the vertex of y=x²+4x+3?

a)

(2,1)

b)

(-2,1)

c)

(0,0)

d)

(-2,-1)

152.

Does the equation open or or down?
Y = -3x² +7x - 2

a)

up

b)

down

153.

What is the vertex?

a)

(5,2)

b)

(2,5)

c)

(-2,5)

d)

(-5,2)

154.

The graph of a quadratic function is called a

a)

Parabola

b)

Vertex

c)

Axis of Symmetry

d)

Vertex Form

155.

What is the y intercept for the equation:
y = -8x² + 3x - 7

a)

-8

b)

3

c)

7

d)

-7

156.

Combine like terms to simplify:

(5x + 2) + (4x - 5)

a)

9x -3

b)

-9x-7

c)

9x+7

d)

x+7

157.

Simplify the expression.
(4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

a)

11a³ - 4a² - 14a - 7

b)

5a³ - 4a² - 14a - 7

c)

5a³ - 4a² - 20a - 7

d)

5a³ - 9a² - 20a - 7

158.

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

a)

2x²+ 3x +1

b)

-2x²- 11x -4

c)

2x² + 5x -7

d)

-2x² + 11x -4

159.

(x³-x²+4) - (3x³-2x²+3)

a)

-2x³-3x²+7

b)

-2x³+x²+1

c)

2x³-3x³-1

d)

4x³-3x²+7

160.

(x³-x²+4) - (3x³-2x²+3)

a)

-2x³-3x²+7

b)

-2x³+x²+1

c)

2x³-3x³-1

d)

4x³-3x²+7

161.

Perform the operation.

(4x²+ x) - (x² -2x)

a)

3x²- x

b)

4x²+ 2x

c)

3x² + 3x

d)

3x² + 2x

162.

Simplify each expression.
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

a)

-8n² - 8n + 3

b)

-7n² - 8n + 3

c)

-6n²- 8n + 3

d)

-7n² - 4n + 3

163.

When adding two polynomials, the first step is to...

a)

Combine Like Terms

b)

Identify Like Terms

c)

Use the distributive property

d)

Use the associative property

164.

Darnell and Stephanie work for competing refreshment stand companies. Darian's profit can be modeled using the polynomial 2c² - 7c - 200, where c is the number of items sold. Stephanie's profit can be modeled with the polynomial c²+ 8c - 100. Write a polynomial to represent the difference between their profits.

a)

c²-15c - 100

b)

3c² -c - 300

c)

c²+15c + 300

d)

3c²-15c - 100

165.

Like terms must have...

a)

The same coefficient

b)

The same variables

c)

The same variables and exponents

d)

The same coefficient, variables, and exponents

166.

Which of the following are examples of like terms?

a)

2 and 2x

b)

y³and x³

c)

y and x

d)

-3x and 3x

167.

The total area of the playground, the larger rectangle, is
16x² − 5x + 2. The area of the play area, the smaller rectangle, is 10x² + 3x − 1. Write an expression to represent the area of the sidewalk.

a)

6x² − 8x + 3

b)

16x² − 8x + 3

c)

16x² − 2x + 1

168.

An airline charges $(20x + 4) for a ticket and $(4x) for a seat upgrade, and $(2x + 1) for premium movies on a flight. Which expression represents the total price you would pay for a seat with an upgrade, and premium movies?

a)

$31x

b)

$24x + 4x + 3x

c)

$24x + 7

d)

$26x + 5

169.

What is the perimeter of this parallelogram?

a)

9x

b)

5x + 4

c)

10x + 8

d)

6x²-9x -45

170.

Simplify:
5(3x+2)

a)

3x+10

b)

15x+10

c)

15x-10

d)

3x-10

171.

Simplify:
2x ( -2x -3)

a)

-4x - 3

b)

x² - 3

c)

-4x² - 6x

d)

-4x - 6

172.

(x +2)(x + 3)

a)

x² + 5x + 6

b)

x² + x + 6

c)

x² + 5x + 5

d)

x² + 6x + 6

173.

(x + 5)(x + 4)

a)

x² + x + 20

b)

x² + 20x + 9

c)

x² + 9x + 20

d)

x² - 9x + 54

174.

(x + 7)(x + 9)

a)

x² + 63x + 16

b)

x² + 16x + 63

c)

x² + 79

d)

x² + 16x + 2

175.

(x - 5)(x + 1)

a)

x² - 4x - 5

b)

x² + 6x - 5

c)

x² - 5x - 4

d)

x² - 4x - 4

176.

(x - 3)(x +10)

a)

x² - 7x + 13

b)

x² - 6x - 30

c)

x² + 7x - 30

d)

x² + 13x + 30

177.

(x + 7)(x - 2)

a)

x² - 5x + 5

b)

x²- 9x - 14

c)

x² - 5x - 14

d)

x² + 5x - 14

178.

(x - 4)(x - 6)

a)

x² -10x + 24

b)

x² - 10x - 24

c)

x² +10x + 24

d)

x² + 10x - 24

179.

(2x - 1)(x + 2)

a)

2x² + 3x - 2

b)

2x² - 5x - 2

c)

2x² + 3x + 2

d)

2x² - 5x + 2

180.

Distribute and remember your laws of exponents from last chapter.

7x²y³ (2x⁴y⁵+6xy³)

a)

14x⁸y¹⁵+42x²y⁹

b)

9x⁶y⁸+13x³y⁶

c)

14x⁶y⁸+42x³y⁶

d)

14x⁶y⁸+42x²y⁶

181.

(5c-2)(3c²-5c+4)

a)

15c³-31c⁴+30c²-8

b)

15c³-19c²+10c-8

c)

15c³-31c²+30c-8

d)

15c³-31c²+30c+8

182.

(4x+1)(5x−2)

a)

20x² + 3x − 2

b)

20x² − 11x + 5

c)

20x² − 18x + 2

d)

20x² − 3x − 2

183.

(5x+2)(x²-3x+6)

a)

5x³- 17x²+24x +12

b)

5x³+ 17x² - 24x +12

c)

5x³ - 13x² + 24x +12

d)

5x³ +13x² - 24x - 12

184.

(3x − 6)(7x + 7)

a)

21x² − 63x + 42

b)

21x² − 21x − 42

c)

21x² − 42

d)

21x² + 63x + 42

185.

(x+4)²

a)

x²+16

b)

x²-16

c)

x²+8x+16

d)

x²+8x-16

186.

(7r-6)(7r+6)

a)

49r²+36

b)

49r²-36

c)

49r²+84r+36

d)

49r²+42r+36

187.

(2u-4v)²

a)

4u²-8uv+16v²

b)

4u²-16uv+16v²

c)

4u²-16v²

d)

4u²+8uv+16v²

188.

Which is the special product for (3x - 7)²?

a)

9x² - 49

b)

9x² + 49

c)

9x² - 42x + 49

d)

9x² - 42x - 49

189.

( 7x - 11)² = ________________

a)

49x² +154x + 121

b)

49x² - 154x - 121

c)

49x² +154x - 121

d)

49x² - 154x + 121

190.

Simplify:
(x-7)²

a)

x²-49

b)

x²+49

c)

x²-14x+49

d)

x²-14x-49

191.

(x + 5)²

a)

x² + 10x + 25

b)

x² + 5x + 25

c)

x² + 6x - 10

d)

x² + 25

192.

(3c + 6d)²

a)

9c² + 36cd + 36d²

b)

9c² + 18cd + 36d²

c)

6c² + 36cd + 12d²

d)

6c² + 9cd + 12d²

193.

(x + 5) (x - 5)

a)

x² -10x + 25

b)

x² - 25x - 25

c)

x² - 50x + 25

d)

x² - 25

194.

What should you do first in solving this equation?

x² + 6x = 3

a)

Get factored form.

b)

Write down: a=1, b=6, c=-13.

c)

Make it equal 0 by subtracting 3 on each side.

d)

Type it all in a calculator.

195.

Solve by factoring: x² = 7x.

a)

x = -7

b)

x = 0, 7

c)

x = 0, -7

d)

x = 7

196.

Factor 2x²- 6x.

a)

2x(x - 3)

b)

x(2x - 6)

c)

2x²(x + 3)

d)

3x (x - 2)

197.

Factor 24x²- 8x.

a)

8x(3x - 1)

b)

2x(12x - 4)

c)

x²(24x - 8)

d)

4x(6x - 2)

198.

What is the GCF of 18 and 24?

a)

3

b)

6

c)

8

d)

9

199.

What is the GCF? 5x²+20x

a)

5

b)

x

c)

5x

d)

20x

200.

Factor:
10x + 15

a)

100x + 150

b)

10(x + 5)

c)

1(10x + 15)

d)

5(2x + 3)

201.

Factor:
x² - 5x

a)

1(x - 5)

b)

x(x - 5x)

c)

x(x - 5)

d)

x²(1 - 5)

202.

What is the GCF of 18k and 15k³

a)

3k²

b)

3k³

c)

3k

d)

5k

203.

Factor:
24c⁵ - 12c³

a)

6(4c⁵ - 2c³)

b)

12c³(2c²)

c)

12c³(2c² - 1)

d)

12c³(2c² - 0)

204.

What is the GCF? -6x-9

a)

x

b)

-6

c)

-3

d)

6

205.

Factor w³ + 3w.

a)

3w(1)

b)

w(w² + 3)

c)

w³(w + 3)

206.

Write the polynomial equation that has solutions -4 and 3 in standard form.

a)

$x^2+x-12=0$

b)

$x^2-x-12=0$

c)

$x^2+7x+12=0$

d)

$x^2-7x-12=0$

207.

Write a polynomial expression, whose roots are –3 and 4.

a)

x² – x + 12

b)

x² + x + 12

c)

x² – x –12

d)

x² – x – 12

208.

What are the factors of
25x² - 81?

a)

(5x - 9)(5x + 9)

b)

(5x - 9)(5x - 9)

c)

(5x + 9)(5x + 9)

d)

Cannot be factored

209.

Factor 4b⁵+4b³+16b²

a)

4b³(b⁴+b²+4b)

b)

4b³(b⁴+4b+5)

c)

4(b⁵+b³+4b²)

d)

4b²(b³+b+4)

210.

Factor completely.
k² -2k - 24

a)

(k+4)(k-6)

b)

(k+4)(k+6)

c)

(k+6)(k-1)

d)

(k-4)(k+6)

211.

Factor completely:
3x² + 5x - 12

a)

(3x + 4)(x-3)

b)

(3x - 4)(x + 3)

c)

(3x + 3)(x -4)

d)

(3x - 3)(x + 4)

212.

Factor by grouping:
3x³-x²+6x-2

a)

(x²+2)(3x+1)

b)

(x²+2)(3x-1)

c)

(3x³+6x)(x²-2)

d)

none of the aboe

213.

Factor completely: 2x²+22x+60

a)

(2x+10)(x+6)

b)

(x+5)(x+6)

c)

2(x+1)(x+30)

d)

2(x+5)(x+6)

214.

Factor completely: x²-6x+8

a)

(x-2)(x-4)

b)

(x-1)(x-8)

c)

(x+2)(x+4)

d)

(x+1)(x+8)

215.

Factor completely: x²+16x+64

a)

(x+4)(x+16)

b)

(x-8)(x-8)

c)

(x+2)(x+32)

d)

(x+8)(x+8)

216.

Factor
x²+ 9x - 36

a)

(x + 12)(x - 3)

b)

(x + 9)(x - 4)

c)

(x - 12)(x + 3)

d)

(x - 9)(x - 4)

217.

Factor
n² + 16n + 63

a)

(n-7)(n+4)

b)

(n+7)(n-9)

c)

(n-3)(n-10)

d)

(n+7)(n+9)

218.

Factor
3v² - 4v - 7

a)

(3v-7)(v+1)

b)

3(v-7)(v-1)

c)

(3v+1)(v-9)

d)

(3v+1)(v-10)

219.

Factor
9x²+9x-10

a)

(3x-5)(3x+2)

b)

(3x+5)(3x-2)

c)

(3x+5)(3x+2)

d)

Not Factorable

220.

Factor:
p² - 14p

a)

p(1 - 14)

b)

2p(p - 7)

c)

p²(1-14)

d)

p(p - 14)

221.

Which is another way of correctly expressing
(x - 3)(x - 3)?

a)

(x² - 3²)

b)

(x² - 3)

c)

(x + 3)(x - 3)

d)

(x - 3)²

222.

x²- 16

a)

Prime

b)

( x - 4) ( x + 4)

c)

( x - 8) ( x + 8)

d)

( x - 4) ( x - 4)

223.

Factor Completely.
8x³ - 18x

a)

2x(4x²-9)

b)

(4x²+3)(2x-3)

c)

2x(2x+3)(2x-3)

d)

PRIME

224.

Which answer choice lists all the factors for 27?

a)

3, 9

b)

1, 3, 9, 27

c)

1, 3, 6, 9, 12, 27

225.

Factor Completely:
2k²-14k-60

a)

2(k-10)(k-3)

b)

Not Factorable

c)

(k-5)(k+9)

d)

2(k-10)(k+3)

226.

Factor:
x²+ 7x - 30

a)

(x + 10)(x - 7)

b)

(x - 10)(x + 3)

c)

(x + 10)(x + 3)

d)

(x + 10)(x - 3)

227.

Factor
a² - a - 12

a)

(a - 4)(a + 3)

b)

(a + 6)(a - 4)

c)

(a - 6)(a + 4)

d)

(a + 4)(a - 3)

228.

What type of function is this?

a)

Linear Function

b)

Quadratic Function

c)

Exponential Function

d)

Not a Function

229.

What type of function does this equation represent?
undefined

a)

Linear Function

b)

Quadratic Function

c)

Exponential Function

d)

Not a Function

230.

What type of function does this equation represent?
$X=4x^2$

a)

Linear Function

b)

Quadratic Function

c)

Exponential Function

d)

Not a Function

231.

What type of function does this equation represent?
$Y=4\left(\frac{1}{2}\right)^x$

a)

Linear Function

b)

Quadratic Function

c)

Exponential Function

d)

Not a Function

232.

What type of function does this equation represent?
$Y=x^2+6x+5$

a)

Linear Function

b)

Quadratic Function

c)

Exponential function

d)

Not a Function

233.

What type of function does this situation represent?

Smart Phone Sales since 1990

a)

Not a function

b)

Linear Function

c)

Exponential Function

d)

Quadratic Function

234.

What type of function does this graph represent?

a)

Linear Function

b)

Exponential Function

c)

Quadratic Functiono

d)

Not a Function

235.

What type of function is this?

a)

Linear Function

b)

Exponential Function

c)

Quadratic Function

d)

Not a Function

236.

Which student represents a Quadratic Function?

a)

Beth

b)

Maria

c)

Tracy

d)

None of the above

237.

Which student represents an Exponential Function?

a)

Beth

b)

Maria

c)

Tracy

d)

None of the above

238.

All Linear Functions have a __________________.

a)

Common Difference

b)

Common Ratio

c)

Difference of Differences

d)

There's no way to tell

239.

All Exponential Functions have a ________________.

a)

Common Ratio

b)

Common Difference

c)

Difference of Differences

d)

None of these

240.

What type of function does this table represent?

a)

Linear Function

b)

Exponential Function

c)

Quadratic Function

d)

Not a Function

241.

What type of function does this table represent?

a)

Linear Function

b)

Exponential Function

c)

Quadratic Function

d)

Not a Function

242.

Consider the functions $f\left(x\right)=3+10x$ , $g\left(x\right)=2^x$ and $h\left(x\right)=5x^2$ .

Which function will have the greatest output when x=0

a)

$f\left(x\right)$

b)

$g\left(x\right)$

c)

$h\left(x\right)$

243.

What are the zeros?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

244.

What is another word for zeros?

a)

y-intercepts

b)

roots

c)

vertex

d)

axis of symmetry

245.

How many zeros does this parabola have?

a)

3

b)

2

c)

0

d)

1

246.

What are the x-intercept/s of the function?

a)

(3,0)

b)

(-3,0)

c)

(9,0) & (-9,0)

d)

(-3, 0) & (3, 0)

247.

What are the solutions of this graph?

a)

x=-2 and x=3

b)

x=-1/2 and x=-6

c)

x=-2 and x=-6

d)

x=3 and x=-6

248.

True or false:
The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.

a)

True

b)

False, because the solution and root are the same but the x-intercept and zero are different

c)

False, because the x-intercept and root are the same but the zero and solution are different

d)

False, they are all different

249.

9k² = 225

a)

4

b)

4, -4

c)

25, -25

d)

-5, 5

250.

a)

m=±81

b)

m=±9

c)

m=±3

d)

No real solution

251.

What is another word for zeros?

a)

y-intercepts

b)

solutions

c)

vertex

d)

axis of symmetry

252.

a)

A

b)

B

c)

C

d)

D

253.

How many solutions (x-intercepts) does the quadratic have?

a)

Two Solutions

b)

One Solution

c)

0 Solutions

d)

I don't know

254.

Solve.
n² - 5 = -4

a)

n = ±√9

b)

n = ±3

c)

n = ±1

d)

No real solution

255.

What is the first step to solving THIS equation by completing the square?
a² + 10a + 21 = 0

a)

Set the equation equal to zero

b)

Divide 10 by 2 and add the result to both sides

c)

Add a² and 10a together

d)

Subtract the 21

256.

Solve the following equation by completing the square:
n² - 2n - 3 = 0

a)

{3 and-1}

b)

{4 and -4}

c)

{5 and -3}

d)

{8 and -7}

257.

Complete the Square

x² + 6x - 5

a)

(x + 3)² = 5

b)

(x + 6)² = 9

c)

(x + 3)² = 14

d)

(x + 6)² = 14

258.

Complete the square for
x² + 12x + ____

a)

x² + 12x + 144

b)

x² + 12x + 36

c)

x² + 12x - 36

d)

x² + +12x - 144

259.

Complete the square.
x² + 6x + ____

a)

x² + 6x + 9

b)

x² + 6x - 36

c)

x² + 6x + 36

d)

x² + 6x - 9

260.

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

a)

4

b)

2

c)

8

d)

20

261.

What should you do first in solving this equation?
x² + 6x - 13 = 3

a)

Get factored form

b)

Write down: a=1, b=6, c=-13

c)

Make it equal 0 by subtracting 3 on each side

d)

Type it all in a calculator.

262.

Solve by factoring: x² = 7x + 18

a)

-7 and -18

b)

9 and 2

c)

9 and -2

d)

2 and 7

263.

Solve for m by factoring.

a)

A

b)

B

c)

C

d)

D

264.

What is this formula?

a)

This is the speed of light formula.

b)

This is the quadratic formula.

c)

This is the zero product property.

d)

This is scary.

265.

Solve Using the Quadratic Formula
x² + 4x - 40 = -8

a)

-10 & -4

b)

-4 & 10

c)

-8 & 4

d)

8 & -4

266.

Solve the following for x by using the Quadratic Formula

2x²+6x=7

a)

b)

c)

267.

Solve by the square root method: (x - 2) ² = 49

a)

9 or -5

b)

± 9

c)

± 5

d)

± 7

268.

Solve by the square root method: -5x² = -50

a)

± 5

b)

± 10

c)

± √10

d)

-10

269.

What is the first step to solving THIS equation by completing the square?
a² + 10a + 21 = 0

a)

Set the equation equal to zero

b)

Divide 10 by 2 and add the result to both sides

c)

Add a² and 10a together

d)

Subtract the 21

270.

Find the missing value "c" to create a perfect square trinomial:
x² – 8x + ___

a)

-4

b)

16

c)

4

d)

8

271.

Complete the square for
x² + 12x + ____

a)

x² + 12x + 144

b)

x² + 12x + 36

c)

x² + 12x - 36

d)

x² + +12x - 144

272.

Complete the square.
x² + 14x + ____

a)

x² + 14x - 196

b)

x² + 14x + 49

c)

x² + 14x - 49

d)

x² + 14x + 196

273.

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

a)

4

b)

2

c)

8

d)

20

274.

Solve the following quadratics equation by completing the square...

x² + 4x + 1 = 0

a)

x = -2 ± √3

b)

x = -3 ± √2

c)

x = 2 ± √3

d)

x = 2 ± √2

275.

Solve the equation by completing the square and then finding the roots.
x²+ 6x - 4 = 36

a)

x = -7, 7

b)

x = 4, -10

c)

x = -4 +- √7

d)

x = 10, -4

276.

Solve by ANY method you have learned: x²−2x+11=0

a)

1±i√10

b)

1±√10

c)

-1±i√10

d)

-1±√10

Alg 1 Spring Exam Review

Total questions: 276

Worksheet time: 15hrs 11mins

Similar Resources on Wayground