Free Printable 25-26 Algebra 2 Semester 1 Review

1.

When multiplying powers of the same base, such as (x²)(x), you will _____________ the exponents.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

2.

When dividing powers of the same base, such as x³/x⁵, you will _____________ the exponents.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

3.

When raising a power to a power, such as (x³)⁵ you will __________ the exponents.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

4.

How do you solve:
(2x⁵)(6x⁴)

a)

MULTIPLY coefficients
MULTIPLY exponents

b)

DIVIDE coefficients
SUBTRACT exponents

c)

Combine like terms

d)

MULTIPLY coefficients
ADD exponents

5.

How would you change this to a positive exponent:
1/x^-3

a)

1/x³

b)

x³

c)

3x

d)

1/3x

6.

x⁻⁶

a)

1 ⁄ x⁶

b)

x⁶

c)

-x⁶

d)

-1 ⁄ x⁶

7.

3⁻⁴

a)

1 ⁄ 3⁴

b)

-3⁴

c)

3⁴

d)

1 ⁄ 12

8.

Simplify: $b^4\times b^{-3}\div b^{-2}$

a)

$b^3$

b)

$b^{-3}$

c)

$b^5$

d)

$b^{-1}$

9.

$\frac{9^{12}}{3^{12}}$

a)

$3^{12}$

b)

$3^0$

c)

$3^1$

d)

$9^{12}$

10.

$\left(-3\right)^4\left(-3\right)^2$

a)

$\left(-3\right)^6$

b)

$\left(9\right)^6$

c)

$\left(-3\right)^8$

d)

$\left(9\right)^8$

11.

$\left(6^3\right)^5$

a)

$6^8$

b)

$6^3$

c)

$6^5$

d)

$6^{15}$

12.

$4^3\cdot2^2\cdot4^5$

a)

$12^9$

b)

$4^9$

c)

$64^9$

d)

$4^8$

13.

$\frac{9^{12}}{9^5}$

a)

$9^7$

b)

$9^{17}$

c)

$18^{17}$

d)

$1^7$

14.

$\frac{2^7\cdot2^8}{2^3}$

a)

$2^{12}$

b)

$4^{12}$

c)

$2^{15}$

d)

$4^{15}$

15.

$\left(16\cdot x\right)^4$

a)

$16^4\cdot x^4$

b)

$16^4\cdot x$

c)

$20x^4$

d)

$16x^4$

16.

$x^3\cdot x^7$

a)

$x^4$

b)

$2x^{10}$

c)

$x^{10}$

d)

$x^{21}$

17.

$3^3\times2^3$

a)

$6^3$

b)

$6^9$

c)

$3^2$

d)

$2^9$

18.

$\frac{1}{x^2}\cdot x^{17}$

a)

$\frac{1}{x^{15}}$

b)

$\frac{1}{x^{-15}}$

c)

$x^{15}$

d)

$x^{-15}$

19.

$8^3\cdot8^{-4}$

a)

$64^{-1}$

b)

$8^{-1}$

c)

$-8^7$

d)

$\frac{1}{8}$

20.

$\left(\frac{3x^2}{4y^3}\right)^0$

a)

0

b)

$\left(\frac{3}{4}\right)$

c)

$\left(\frac{x^2}{y^4}\right)$

d)

1

21.

Simplify:

a)

2

b)

8

c)

16

d)

32

22.

Write the expression in radical form: $x^{\frac{3}{4}}$

a)

$\sqrt[4]{x^3}$

b)

$\sqrt[3]{x^4}$

c)

$x^{.75}$

d)

$\sqrt[]{x^2}$

23.

$125^{\frac{2}{3}}$

a)

5

b)

25

c)

75

d)

5

24.

Simplify the following expression:

a)

16

b)

32

c)

40

d)

64

25.

Rewrite with positive exponents: $x^{-a}$

a)

$ax$

b)

$\frac{1}{x^a}$

c)

$\frac{a}{x}$

d)

$-ax$

26.

Simplify . Your answer should contain only positive exponents. $4v^{\frac{2}{3}}\cdot v^{-1}$

a)

$4v^{\frac{1}{3}}$

b)

$\frac{4}{v^{\frac{1}{3}}}$

c)

$\frac{v^{\frac{1}{3}}}{4}$

d)

$\frac{1}{4v^{\frac{1}{3}}}$

27.

Rewrite the expression without using a radical:

a)

$\left(2x+1\right)^{\frac{3}{4}}$

b)

$\left(2x+1\right)^{\frac{4}{3}}$

c)

$4\left(2x+1\right)^3$

d)

$3\left(2x+1\right)^4$

28.

$\sqrt{50}$

a)

$5\sqrt{2}$

b)

$\sqrt{5}$

c)

$2\sqrt{5}$

d)

$25\sqrt{2}$

29.

$\sqrt{96}$

a)

$16\sqrt{6}$

b)

$2\sqrt{6}$

c)

$4\sqrt{6}$

d)

$\sqrt{2}$

30.

$\sqrt{45}$ =

a)

$3\sqrt{5}$

b)

$5\sqrt{3}$

c)

$9\sqrt{5}$

d)

$5\sqrt{9}$

31.

$\sqrt{300}$

a)

$3\sqrt{10}$

b)

$2\sqrt{150}$

c)

$100\sqrt{3}$

d)

$10\sqrt{3}$

32.

$\sqrt{40}$

a)

$4\sqrt{10}$

b)

$10\sqrt{4}$

c)

$2\sqrt{10}$

d)

$10\sqrt{2}$

33.

√24 =

a)

4√6

b)

2√6

c)

6√2

d)

2√12

34.

√28 =

a)

7√2

b)

7√4

c)

4√7

d)

2√7

35.

√125 =

a)

5√5

b)

25√5

c)

5√25

d)

5√2

36.

√169 =

a)

3√7

b)

13

c)

7√3

d)

7√7

37.

√75 =

a)

25√3

b)

25√3

c)

5√3

d)

3√5

38.

√80 =

a)

16√5

b)

2√20

c)

4√5

d)

8√5

39.

√18 =

a)

3√2

b)

9√2

c)

3√9

d)

2√3

40.

√1 =

a)

1

b)

2

c)

0

d)

1/2

41.

√16 =

a)

4

b)

8

c)

16

d)

64

42.

The number under the radical sign or square root sign is called the ______.

a)

radical sign

b)

radicand

c)

factor

d)

exponent

43.

What is the correct first step for simplifying

a)

b)

c)

44.

Simplify

a)

b)

c)

45.

Simplify by rationalizing the denominator

a)

b)

c)

46.

Re-write in fractional exponent form

a)

b)

c)

47.

Simplify

a)

b)

c)

48.

Simplify

a)

b)

c)

49.

Simplify using exponent properties

a)

b)

c)

50.

Simplify completely

a)

60

b)

11

c)

1

51.

Simplify

a)

b)

c)

52.

Simplify completely

a)

b)

c)

53.

a)

10

b)

-10

c)

10i

d)

-10i

54.

(3 + 2i) + (4 - 5i)

a)

7 + 7i

b)

1 - 3i

c)

1 - 7i

d)

7 - 3i

55.

(4 - 2i) - (3 + 6i)

a)

7 - 4i

b)

1 + 4i

c)

1 - 8i

d)

7 - 8i

56.

What does i² equal?

a)

-1

b)

√-1

c)

1

d)

-√1

57.

√-36

a)

6

b)

-6

c)

-6i

d)

6i

58.

What letter represents an imaginary number?

a)

a

b)

i

c)

j

d)

x

59.

Find the sum.
(5-2i) + (-7+8i)

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

60.

3i + 2i

a)

5i

b)

5i²

c)

6i

d)

-5

61.

(2i)(3i)

a)

5i

b)

-5

c)

6i

d)

-6

62.

-6i+3i

a)

3i

b)

-3i

c)

-2i

d)

-3i²

63.

What does i² = ?

a)

-1

b)

√-1

c)

1

d)

-√1

64.

How do you write a complex number?

a)

a-bi

b)

a+bi

c)

ai+b

d)

ai-b

65.

3i+5i+2i+10

a)

10

b)

10i+10

c)

10i

d)

100i

66.

(3i)(5i) (Hint: $i^2$ =-1)

a)

15

b)

-15

c)

15i

d)

-15i

67.

$i=\sqrt[]{-1}$

a)

True

b)

False

68.

Slope Intercept Form

a)

y = mx+b

b)

(x , y)

c)

Ax + By = C

d)

none

69.

Convert the equation to slope-intercept form:
2x - 4y = 16

a)

y = 1/2 x + 4

b)

y = 1/2 x - 4

c)

y = -1/2 x - 4

d)

y = -1/2 x + 4

70.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

_D

71.

Which of the following points match the graph?

a)

(2,0), (1,3) (-1,4)

b)

(0,1), (2,1), (0,0)

c)

(-2,4), (0,2), (3,1)

d)

(4,1), (2,0), (1,0)

72.

Which of these is a solution to the equation
y = 2x-7?

a)

(2,-3)

b)

(0, 7)

73.

Which of these is a solution to the equation
3y -2x = -3 ?

a)

(6,3)

b)

(5,9)

74.

How can I tell if the graph of an inequality will have a solid line?

a)

It has just an equal sign.

b)

The symbol is greater than.

c)

The symbol has "or equal to."

d)

You just guess.

75.

Do I need to flip my sign?
2x -3y ≥ 12

a)

Yes

b)

No

76.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, -10)

c)

(-1, 5)

d)

(5, 20)

77.

Are the points on the line part of the solution set or not?

a)

Yes, they are part of the solution set

b)

No, they are NOT part of the solution set

78.

Select the graph for y ≥ -3.

a)

A

b)

B

c)

C

d)

D

79.

Select the graph for 5x+ y ≤ -1 .

a)

A

b)

B

c)

C

d)

D

80.

Select the correct graph for each inequality. y≤ -¾x -1

a)

A

b)

B

c)

C

d)

D

81.

Consider the function y<2x+3. Which is true?

a)

The line would be solid with shading above.

b)

The line would be dashed with shading above.

c)

The line would be solid with shading below.

d)

None of these.

82.

What is the slope intercept form of the equation
12x-4y=-20

a)

y=12x-20

b)

y=3x+5

c)

y=-3x-5

d)

y=20y-12x

83.

What is the y-intercept of this graph?

a)

(0,1)

b)

(0,-2)

c)

(0,0)

d)

(0,3)

84.

Which of the following coordinates lies on the line y=2x-1?

a)

(-3,-7)

b)

(-6,11)

c)

(5,24)

d)

(13,6)

85.

a)

A

b)

B

c)

C

d)

D

86.

a)

A

b)

B

c)

C

d)

D

87.

Graph x+y=3

a)

A

b)

B

c)

C

d)

D

88.

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

a)

(0, 0)

b)

(-3, 0)

c)

(2, -5)

d)

(3, -1)

89.

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

a)

(0, -2)

b)

(-3, 0)

c)

(-3, 2)

d)

(1, 1)

90.

Is (-2,4) a solution to the system?

a)

Solution

b)

Not a solution

91.

Kate is selling bracelets and earrings on Etsy to make money for summer vacation. The bracelets (x) cost $2 and earrings (y) cost $3. She needs to make at least $100, but can only make up to 40 pieces of jewelry. Which inequalities represent this situation?

a)

2x + 3y > 100

x + y ≤ 40

b)

100x + 2y > 3

x + y ≤ 40

c)

100x + 40y > 100

3x + 2y ≤ 40

d)

3x + 2y > 100

x + y ≤ 40

92.

Write the system of inequalities
Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing

a)

x+y≤300
7.5x+5.5y≥2000

b)

x+y<300
7.5x+5.5y≥2000

c)

x+y≤300
7.5x+5.5y≤2000

d)

x+y>2000
7.5x+5.5y≤300

93.

JoAnn likes her job as a baby-sitter, but it pays only $3 per hour. She has been offered a job as a tutor that pays $6 per hour. Because of school, her parents only allow her to work a maximum of 15 hours per week. How many hours can JoAnn tutor and baby-sit and still make at least $66 per week? How much does she make?

a)

b + t < 15
3b + 6t > 66

b)

b + t > 15
3b + 6t < 66

c)

3b + 6t > 15
b + t < 66

d)

3b + 6t < 15
b + t < 66

94.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

95.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

96.

This system has an infinite number of solutions, TRUE or FALSE?

a)

TRUE

b)

FALSE

97.

The graphs of two linear equations are shown. What is the best estimate of the solution to the system of linear equations?

a)

(2, -5)

b)

(5, -2)

c)

(-5, -2)

d)

(-2, 5)

e)

(-2, -5)

98.

What is the solution?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

d)

(0, -1.5)

99.

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

100.

Look at the system of equations.
$y=-x+2$
$7x+4y=-1$
What is the value of x for the solution to this system of equations?

a)

-5

b)

-3

c)

3

d)

5

101.

A system of inequalities is shown.

$y\ge\frac{1}{2}x+1$
$y+3x\le6$
From the given points, select each point that is a solution to this system of inequalities.

a)

$\left(-1,\ -3\right)$

b)

$\left(1,\ 2\right)$

c)

$\left(2,\ 0\right)$

d)

$\left(4,\ 6\right)$

102.

Company S and Company T are cellphone providers. Their cost vs. minutes is shown on the graph.

At how many minutes would their cost be equal?

a)

10

b)

20

c)

30

d)

40

103.

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

a)

(-1, -3)

b)

(3, 0)

c)

(-2, 2)

d)

(4, 1)

104.

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

a)

(1, -5)

b)

(2, 3)

c)

(-2, 3)

d)

(-1, 1)

105.

Which system of inequalities matches the graph?

a)

x> -2
y < -4

b)

x< 2
y> 4

c)

x > 2
y < 4

d)

x > 2
y <- 4

106.

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)

4A + 6B = 3

$13.50A - $13B = 6

b)

A + B = 4

A - B = 6

c)

4A + 6B = $13

3A + 7B = $13.50

d)

4A - 6B = $13

3A - 7B = $13.50

107.

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, which system best represents the situation? Let "c" represent the # of people who ordered chicken and "s" represent those who ordered steak.

a)

c + s = 6
14.80c + 17s = 91

b)

c + s = 91
14.80c + 17s = 6

c)

c + s = 6
14.80s + 17c = 91

d)

c + s = 91
14.80s+ 17c = 6

108.

What are the zeros?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

109.

What is another word for zeros?

a)

y-intercepts

b)

roots

c)

vertex

d)

axis of symmetry

110.

What are the factors AND solutions of x² + 2x – 3 = 0

a)

(x - 2)(x + 1); x=2, x=-1

b)

(x + 1)(x - 3); x=-1, x=3

c)

(x + 2)(x - 1); x=-2, x=1

d)

(x - 1)(x + 3); x=1, x=-3

111.

Factor and Solve

6x² + 17x + 12 = 0

a)

x = -4/3, x = -3/2

b)

x = 9, x = 8

c)

x = 4, x = 3

d)

x = -4, x = -3

112.

Factor and Solve

2x² - 3x - 2 = 0

a)

x = 1, x = -1

b)

x = -1/2, x = 2

c)

x = 1/2, x = 2

d)

x = 1/2, x = 1

113.

Solve the following by ISOLATION

$4\left(x-5\right)^2=12$

a)

$\left(4x+20\right)^2=12$

b)

$x=5\pm\sqrt[]{3}$

c)

$x=-5\pm\sqrt[]{3}$

d)

$x=5\pm\frac{1}{2}\sqrt[]{3}$

114.

Complete the quadratic formula

Black question mark (a)

Blue question mark (b)

Red question mark (c)

Choose from the below words

$-b$

$b^2-4ac$

$2a$

$b$

$2b-4ac$

$b^2-4c$

$2$

$a^2$

$b^2-ac$

$2b$

115.

$2x^2+8x-7=0$

Use the quadratic formula to type an expression that will yield the solutions to the equation above.

You cannot type $\pm$ on the keyboard so instead put $+-$

DO NOT SIMPLIFY ANYTHING. JUST PLUG IN WITH PARENTHESES.

116.

Solve by the Square Root method:

-5x² = -50

a)

± 5

b)

± 10

c)

± √10

d)

-10

117.

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

118.

Solve by using a method of your choice:

k² − 12k + 23 = 0

a)

{6 + √13, 6 - √13}

b)

{-6 + √13, -6 - √13}

c)

{6 + √59, 6 - √59}

d)

{-6 + √59, -6 - √59}

119.

How many solutions are there?

a)

0

b)

1

c)

2

d)

3

120.

Compare y = 2(x - 3)²+ 5 to the parent function y = x²

a)

vertical stretch, moves 3 units left and 5 units up

b)

vertical shrink, moves 3 units left and 5 units up

c)

vertical shrink, moves 3 units right and 5 units up

d)

vertical stretch, moves 3 units right and 5 units up

121.

Compare y = 1/2(x + 3)²+ 5 to the parent function y = x²

a)

vertical stretch, moves 3 units left and 5 units up

b)

vertical shrink, moves 3 units left and 5 units up

c)

vertical shrink, moves 3 units right and 5 units up

d)

vertical stretch, moves 3 units right and 5 units up

122.

Determine the vertex of:

y = x² + 8x - 10

a)

(4,38)

b)

(-8,10)

c)

(-4,-26)

d)

(2,10)

123.

Does this parabola open up or down?

a)

y = -8x² +18x + 20

b)

up

c)

down

124.

Given: y = 6x² + 19 what is the value of b?

a)

b = 6

b)

b= 0

c)

b = 19

d)

b = 2

125.

What is the graph of this function: y = x²- 4x

a)

b)

c)

d)

126.

What is the vertex of: y= (x-3)² + 6

a)

(-3,6)

b)

(-3,-6)

c)

(3,6)

d)

(3,-6)

127.

Find the minimum point of the graph x² + 12x + 4

a)

( -12 , -32 )

b)

( -6 , -32 )

c)

( -6 , 32 )

d)

( 12 , -14 )

128.

Write the equation in vertex form:
y = x² + 10x + 20

a)

y=(x+5)² + 5

b)

y=(x+5)² + 45

c)

y=(x+5)²+ 20

d)

y=(x+5)² - 5

129.

Use the graph to determine the solutions.

a)

-1 and -3

b)

1 and -3

c)

1 and 3

d)

-1 and 3

130.

a)

±72

b)

±12

c)

12

d)

No real solution

131.

What is the discriminant?

a)

b²-4ac

b)

b²/2a

c)

4ac

d)

b²±4ac

132.

Which of the following equations could be used to solve:
y = x² + 3x - 5
y = x + 3

a)

x² - 3x + 5 = x - 3

b)

x² + 3x - 5 = x + 3

c)

x² + 3x - 5 + x + 3 = 0

d)

x² + 3x - 5 = 0

133.

What are the solutions to the system:
y = x² + 3x - 5
y = x + 3

a)

(-4, 2) and (-1, 5)

b)

(-4, -1) and (2, 5)

c)

(2, -1 and (-4, 5)

d)

(-4, 1) and (2, -1)

134.

Find the solution:
y = x² - 4x + 6
y = x + 2

a)

(3, 1) and (6, 4)

b)

(-1, 1) and (4, 2)

c)

(1, 3) and (4, 6)

d)

(1, 4) and (3, 6)

135.

a)

A

b)

B

c)

C

d)

D

136.

Amy throws a quarter from the top of a building at the same time that a balloon is released from the ground. The equation describing the height y above ground of the quarter in feet is y = 64 - 2x² , where x is the time in seconds. The equation describing the elevation of the balloon in feet is y = 6x + 8, where x is the time in seconds. After how many seconds will the balloon and quarter pass each other?Check your solution for reasonableness.

a)

x=-7 and x=4

b)

7 seconds

c)

4 seconds

d)

4 and 7 seconds

137.

Determine the number of solutions to the given linear-quadratic function.

a)

0 solutions

b)

1 solution

c)

2 solutions

d)

3 solutions

138.

The system of a linear and a quadratic function can have the following number of solutions, EXCEPT

a)

No solution

b)

1 solution

c)

2 solutions

d)

more than 2 solutions

139.

Determine the solution to the given linear-quadratic function.

a)

(3, -1)

b)

(-3, 0)

c)

(2, -3)

d)

(-3, 2)

140.

How many solutions can a line and a parabola have?

a)

No solutions, 1 solution

b)

No solutions, 1 solution, 2 solutions

c)

1 solution

d)

No solutions, 1 solution, 2 solutions, infinite solutions

141.

Solve the system algebraically.
y²-26=-x²
x-y=6

a)

(-1,-5) and (-5,-1)

b)

(-1,5) and (-5,1)

c)

(1,-5) and (5,-1)

d)

(1,-5)

142.

Robert threw a rock off a bridge into the river. The distance from the rock to the river is modeled by the equation y=-16x²-16x+60, where h is the height in feet and t is time in seconds. There is a bird flying on a path given by the equation y=5x+10. Does the rock hit the bird? If so, at what time and height?

a)

It doesn't hit the bird

b)

Yes, 1.23 seconds, 16.15 feet

c)

Yes, 16.15 seconds, 1.23 feet

143.

Find the solution.

a)

(0,7) and (0,-3)

b)

(2,6) and (7,4)

c)

(3,0) and (7,4)

d)

(-1,5) and (-3,9)

144.

Two equations were graphed on the set of axes below. Which point is a solution to the system of equations ?

a)

(0,3)

b)

(5,0)

c)

(2,-3)

d)

(8,9)

145.

Find the solution.

a)

(6,4) and (3,1)

b)

(-2,7) and (5,2)

c)

(5,4) and(-2,-5)

d)

(1,-1) and (4,2)

146.

Find the solution.

a)

(56,7) and (25,1)

b)

(35,2) and (-12, 15)

c)

(15,89) and (2,-2)

d)

(30,4) and (-45, 5)

147.

Find the solution.

a)

(2,3) and (3,4)

b)

(-3,-15) and (4,-8)

c)

(-3,10) and (8,4)

d)

(-8,3) and (-4,10)

148.

Find the solution.

a)

(-3,5) and (10,20)

b)

(5,3) and (1,0)

c)

(2,16) and (10,48)

d)

(-30,6) and (9,2)

149.

Find the solution.

a)

(2,-1) and (-5,-22)

b)

(2,5) and (25,4)

c)

(-5,19) and (-1,2)

d)

(-4,3) and (20,30)

150.

Find the solution.

a)

(0,7) and (0,-3)

b)

(2,6) and (7,4)

c)

(-3,0) and (7,10)

d)

(-1,5) and (-3,9)

151.

Find the solution.

a)

(3,18) and (-4, 15)

b)

(5,2) and (5,-9)

c)

(0,0) and (0,0)

d)

(-4,2) and (-4,2)

152.

Match the graph to its inequality.

a)

y > -x² - 5x - 6

b)

y > x² + x - 6

c)

y < x² - 5x + 6

d)

y < -x² - x + 6

153.

Which inequality is represented by the graph?

a)

y > -(x - 4)² + 1

b)

y > -(x - 1)² + 4

c)

y < (x - 4)² + 1

d)

y > (x + 4)² + 1

154.

Classify

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

155.

Classify by the DEGREE:
3x - 2

a)

1

b)

2

c)

3

d)

4

156.

Polynomial or not?
5x⁴ - 7x

a)

polynomial

b)

not a polynomial

157.

Polynomial or not?

a)

polynomial

b)

not a polynomial

158.

Rewrite the polynomial in standard form:-5 + 4m

a)

-5 + 4m

b)

4m - 5

c)

-4m + 5

d)

4m² - 5

159.

What is the degree classification of this polynomial?
x²+4x-8

a)

binomial

b)

trinomial

c)

quadratic

d)

cubic

160.

Which is an example of a cubic binomial?

a)

x³+5

b)

x²+3

c)

x²+5x-6

d)

5x³

161.

What is the leading coefficient of the following polynomial?
5x²-3x+6

a)

2

b)

-3

c)

5

d)

6

162.

Which is an example of a linear polynomial?

a)

x²-5

b)

6x+4

c)

5x⁵

d)

2x³-9x²

163.

Classify the polynomial by its degree.
x² + 2x³ - 4

a)

A
binomial

b)

B
trinomial

c)

C
quadratic

d)

D
cubic

164.

Classify the polynomial by its number of terms.
4x² - 2

a)

A
monomial

b)

B
binomial

c)

C
trinomial

d)

D
polynomial

165.

What is the degree of the polynomial?
x³y²- 7x²y + 3

a)

A
1

b)

B
3

c)

C
5

d)

D
7

166.

Which is an example of a cubic monomial?

a)

A
x³ + 5

b)

B
x² + 3

c)

C
x² + 5x - 6

d)

D
5x³

167.

How many terms are in the following polynomial?
_3xy_{- 2y + 8x - 7z -16}

a)

A
1

b)

B
2

c)

C
4

d)

D
5

168.

Add:
(3x² - 3x + 2) + (x² - 2x + 1)

a)

A
4x³-2x²+2

b)

B
4x² - 5x + 3

c)

C
-2x³+2x+2

d)

D
4x³-2x²-2

169.

What is the location of the absolute maximum for the graphed function?

a)

x = 1

b)

x = 3

c)

x = 4

d)

x = 5

e)

Does Not Exist

170.

How many extrema are there in this graph?

a)

2 max, 2 min

b)

3 max, 2 min

c)

2 man, 3 min

d)

3 increasing intervals, 2 decreasing intervals

e)

2 increasing intervals, 3 decreasing intervals

171.

How many extrema (max and mins) are in the picture?

a)

2

b)

3

c)

4

d)

5

172.

Minimum or maximum?

a)

Minimum

b)

Maximum

173.

Minimum or maximum?

a)

Minimum

b)

Maximum

174.

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient

a)

Leading Coefficient Positive
Degree - Even

b)

Leading Coefficient Positive
Degree - Odd

c)

Leading Coefficient Negative
Degree - Even

d)

Leading Coefficient Negative
Degree - Odd

175.

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient

a)

Leading Coefficient Positive
Degree - Even

b)

Leading Coefficient Positive
Degree - Odd

c)

Leading Coefficient Negative
Degree - Even

d)

Leading Coefficient Negative
Degree - Odd

176.

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient

a)

Leading Coefficient Positive
Degree - Even

b)

Leading Coefficient Positive
Degree - Odd

c)

Leading Coefficient Negative
Degree - Even

d)

Leading Coefficient Negative
Degree - Odd

177.

What is the leading coefficient?

a)

Positive

b)

Negative

c)

Odd

d)

Even

178.

What is the leading coefficient?

a)

Positive

b)

Negative

c)

Odd

d)

Even

179.

What is the leading coefficient?

a)

Positive

b)

Negative

c)

Even

d)

Odd

180.

Which function has ↑ & ↑ end behavior?

a)

$f\left(x\right)=-x^2-3x+1$

b)

$f\left(x\right)=-x^3+2x^2+3$

c)

$f\left(x\right)=x^4+3x^3-4x+1$

d)

$f\left(x\right)=x^5-4x^4+2x^2-1$

181.

Which function has ↑ & ↓ end behavior?

a)

$g\left(x\right)=-x^4-3x^3+3$

b)

$g\left(x\right)=3x^8+3x^5-4x+7$

c)

$g\left(x\right)=-2x+2x^4+4$

d)

$g\left(x\right)=4x^5-4x^4+2x^3-9$

182.

What does x tell us

a)

Left and right

b)

Up and down

183.

What does y tell us

a)

Left and right

b)

Up and down

184.

Which one means left

a)

x →-∞

b)

x →∞

185.

Which one means up

a)

y →-∞

b)

y →∞

186.

Is the exponent in the leading term of this function ODD or EVEN?

a)

ODD

b)

EVEN

187.

Is the exponent in the leading term of this function ODD or EVEN?

a)

ODD

b)

EVEN

188.

Would you rather...

a)

Only be able to communicate through a translator?

b)

Only be able to speak the truth every time you spoke?

189.

Evaluate: $h\left(x\right)=2x+2;\ Find\ h\left(-7\right)$

a)

-10

b)

-12

c)

-16

d)

6

190.

Evaluate: $g\left(n\right)=2n+5;\ Find\ g\left(-5\right)$

a)

-1

b)

7

c)

-5

d)

25

191.

Evaluate: $f\left(x\right)=3x+3;\ Find\ f\left(-8\right)$

a)

-15

b)

15

c)

-12

d)

-21

192.

Evaluate: $w\left(t\right)=-2t-2;\ Find\ w\left(-4\right)$

a)

-8

b)

18

c)

6

d)

16

193.

g\left(x\right)=3x-1\

and

h\left(x\right)=2x+3

Find:

\left(\frac{g}{h}\right)\left(2\right)

a)

$\frac{5}{7}$

b)

$\frac{7}{5}$

c)

$\frac{29}{23}$

d)

$\frac{1}{7}$

194.

$f\left(n\right)=3n+2$ and $g\left(n\right)=-3n-4$ Find: $\left(f+g\right)\left(-10\right)$

a)

-2

b)

91

c)

52

d)

31

195.

$f\left(x\right)=x-1$ and $g\left(x\right)=2x+2$ Find: $\left(f\cdot g\right)\left(2\right)$

a)

160

b)

100

c)

28

d)

6

196.

$f\left(x\right)=-3x^2-1$ and $g\left(x\right)=-4x+1$ Find: $\left(\frac{f}{g}\right)\left(-8\right)$

a)

$\frac{-33}{193}$

b)

$\frac{4}{3}$

c)

$\frac{-13}{9}$

d)

$\frac{-193}{33}$

197.

$f\left(a\right)=-3a-2$ and $g\left(a\right)=4a+2$ Find: $\left(\frac{f}{g}\right)\left(a\right)$

a)

$\frac{4a+2}{-3a-2}$

b)

$\frac{3a-4}{a^3+2a}$

c)

$\frac{-4a+2}{3a-2}$

d)

$\frac{-3a-2}{4a+2}$

198.

$f\left(n\right)=-2n^2+4$ and $g\left(n\right)=2n+2$ Find: $\left(f+g\right)\left(n\right)$

a)

$-n^3-6n$

b)

$n^2-n+6$

c)

$-2n^2+2n+6$

d)

$-2n^2-2n+6$

199.

$g\left(x\right)=2x-3$ and $h\left(x\right)=x^3-x$ Find: $\left(g+h\right)\left(x\right)$

a)

$-x^3-x-3$

b)

$x^3+x-3$

c)

$-5x-2$

d)

$-2x^3-2x^2-2x-3$

200.

$f\left(x\right)=3x^2-4$ and $g\left(x\right)=3x+4$ Find: $\left(f\cdot g\right)\left(x\right)$

a)

$9x^3+12x^2-12x-16$

b)

$9x^2+9x$

c)

$4x^4+16x^2$

d)

$-9x^3+12x^2+12x-16$

25-26 Algebra 2 Semester 1 Review

Total questions: 200

Worksheet time: 17hrs 40mins

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