Free Printable Algebra 2 MP2 2025-26 Review

1.

What is the logarithmic form of the equation 2^x = 8?

a)

log2(x) = 8

b)

log8(2) = x

c)

log2(8) = x

d)

log(x) = 2^8

2.

How do you find the inverse of a function from its table of values?

a)

Square all values

b)

Switch the x and y values

c)

Multiply all values by -1

d)

Add a constant to all values

3.

What is the standard form of a quadratic equation?

a)

y = ax² + bx + c

b)

y = a(x - h)² + k

c)

y = e^x

d)

y = log(x)

4.

Which of the following quadratic equations may have imaginary solutions?

a)

x² - 4 = 0

b)

x² + 2x + 1 = 0

c)

x² - 2x + 1 = 0

d)

x² + 4 = 0

5.

What is the result of (3 + 2i) + (1 - 4i)?

a)

4 - 2i

b)

2 + 6i

c)

3 - 6i

d)

4 + 6i

6.

What is the result of (2 + 3i) × (1 - i)?

a)

5 - i

b)

1 + 3i

c)

2 - 3i

d)

5 + i

7.

What is the formula for continuous compounding?

a)

A = Pe^(rt)

b)

A = P(1 + r/n)^(nt)

c)

A = P(1 - r)

d)

A = P(1 + rt)

8.

What is the formula for compounded monthly interest?

a)

A = P(1 + r/12)^(12t)

b)

A = P(1 + r/n)^(nt)

c)

A = P(1 + rt)

d)

A = Pe^(rt)

9.

What is the inverse of the function y = 2x + 3?

a)

y = 2x + 3

b)

y = x/2 + 3

c)

y = 2x - 3

d)

y = (x - 3)/2

10.

What is the vertex form of a quadratic equation?

a)

y = e^x

b)

y = a(x - h)² + k

c)

y = log(x)

d)

y = ax² + bx + c

11.

What is the result of (4 + 5i) - (2 - 3i)?

a)

2 - 8i

b)

6 - 2i

c)

6 + 2i

d)

2 + 8i

12.

What is the logarithmic form of the equation 10^x = 100?

a)

log100(10) = x

b)

log(x) = 10^100

c)

log10(x) = 100

d)

log10(100) = x

13.

Which of the following is a solution to the equation x² + 1 = 0?

a)

x = 1

b)

x = -1

c)

x = i

d)

x = 0

14.

a)

10

b)

-10

c)

10i

d)

-10i

15.

Scrooge invests in a bank account that pays him 4% interest annually. This can be modeled by $p\left(t\right)=500\left(1.04\right)^t$ . How much money did he place in the bank at the beginning of the account?

a)

4

b)

500

c)

608

d)

541

16.

Due to a severe drought, a population of lions is decreasing at a rate of 3.5% per year. This can be modeled by $L\left(t\right)=80\left(1.035\right)^t$ . How many lions were in the area when the drought started?

a)

69

b)

72

c)

3.5

d)

80

17.

Rapunzel's hair grew 16% each week she was in the tower. If her hair was 20 inches long when she was placed in the tower, what is a model for the growth of Rapunzel's hair?

a)

$16\left(1+.20\right)^w$

b)

$16\left(1+20\right)^w$

c)

$20\left(1+.16\right)^w$

d)

$20\left(1+16\right)^w$

18.

If Jack's Bean stalk grew 75% every hour and the bean stalk was 2 foot when he started watching it grow, what is a model for the growth of the bean stalk?

a)

$2\left(1+75\right)^h$

b)

$2\left(1+.75\right)^h$

c)

$75\left(1+2\right)^h$

d)

$7\left(1+.02\right)^h$

19.

If the wolf blew down 36% of the little pig's house each time he puffed and blew, and the house started at 35 feet high, what is a model for how high the house is with each huff and puff?

a)

$36\left(1-35\right)^p$

b)

$36\left(1-.35\right)^p$

c)

$35\left(1-36\right)^p$

d)

$35\left(1-.36\right)^p$

20.

You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2011?

a)

$344,022

b)

$31,500

c)

$15,000

d)

$28,500

21.

You bought a Boston Whaler in 2004 for $12,500. The boat's value depreciates by 7% a year. How much is the boat worth in 2012?

a)

$11625

b)

$6994.77

c)

$21,477

d)

$875

22.

You bought a Boston Whaler in 2004 for $12,500. The boat's value depreciates by 7% a year. How much is the boat worth in 2012?

a)

$11625

b)

$6994.77

c)

$21,477

d)

$875

23.

Ash has $8,000 in a savings account. The interest rate is 3% compounded once a year.

To the nearest cent, how much will he have in his account in 4 years?

a)

$9,004.07

b)

$2,2848.80

c)

$9,011.94

d)

$8,242.71

24.

If you invest $1000 in a savings account with an annual interest rate of 5% compounded annually, how much money will you have in the account after 3 years?

a)

$1157.63

b)

$1050.00

c)

$1100.00

d)

$1150.00

25.

Solve
4m² - 100 = 0

a)

m=25, -25

b)

m=96

c)

m=5, -5

d)

m=-96

26.

Solve
a² + 2a - 24 = 0

a)

a = -6, 4

b)

a = 6, -4

c)

a = 12, -2

d)

a = 8, -3

27.

What are the solutions of this graph?

a)

-2 and 3

b)

-1/2 and -6

c)

-2 and -6

d)

3 and -6

28.

What are the zeros?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

29.

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

30.

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

31.

Rewrite 3⁴ = 81 in logarithmic form.

a)

log₃4 = 81

b)

log₈₁3 = 4

c)

log₃81 = 4

d)

log₄81 = 3

32.

Write 2³= 8 in logarithmic form.

a)

log₂ 8 = 3

b)

log₂ 3 = 8

c)

log₃ 8 = 2

d)

log₃ 2 = 8

33.

Write log₃ 81 = 4 in exponential form.

a)

81⁴=3

b)

81³=4

c)

4³=81

d)

3⁴=81

34.

Write the exponential equation as a logarithm
6³=216

a)

log₆(3) = 216

b)

log₃(6) = 216

c)

log₆(216)=3

d)

log₂₁₆(6)=3

35.

Change to Logarithmic Form:
5³ = 125

a)

log ₅ 125 = 3

b)

log₃125 = 5

c)

log ₅ 3 =125

d)

log₁₂₅ 3 = 5

36.

What is the average rate of change between when x = -1 and x = 0?

a)

-2

b)

2

c)

1/2

d)

-1/2

37.

What is the average rate of change over the interval [0,3]?

a)

21

b)

-21

c)

1/21

d)

-1/21

38.

If $g\left(x\right)=3\left(2\right)^x$ , what is the average rate of change over the interval $1\le x\le5$ ?

a)

22.5

b)

90

c)

30.25

d)

25

39.

The inverse of the function f(x) is written as ...

a)

f ^-1(x)

b)

f ²(x)

c)

f '(x)

d)

f ⁺(x)

40.

What are the inverse points for the coordinates:

(3, 0) , (2, -4), (5, 5) and (-6,8)

a)

(3,0) , (2, -4) , (5,5) , (6,8)

b)

(0,3) , (-4,2) , (5,5) , (8,-6)

c)

(3,2), (0, -4), (5, -6), (5,8)

41.

Suppose the point (-3, 7) is on a function f(x). Which point do we know is on the inverse function?

a)

(7, -3)

b)

(3, -7)

c)

(-3, -7)

d)

(3, -7)

42.

Rewrite in exponential form.

$\left(\sqrt{7b}\right)^3$

a)

$\left(7b\right)^{\frac{3}{1}}$

b)

$7b^{\frac{3}{2}}$

c)

$\left(7b\right)^{\frac{1}{2}}$

d)

$\left(7b\right)^{\frac{3}{2}}$

43.

Rewrite in exponential form.

$\left(\ ^4\sqrt{10v}\right)^5$

a)

$10v^{\frac{5}{4}}$

b)

$\left(10v\right)^{\frac{4}{5}}$

c)

$10v^{\frac{4}{5}}$

d)

$\left(10v\right)^{\frac{5}{4}}$

44.

Rewrite in radical form.

$\left(10p\right)^{\frac{3}{4}}$

a)

$\left(\ ^4\sqrt{10p}\right)^3$

b)

$\ ^4\sqrt{10p^3}$

c)

$\left(\ ^3\sqrt{10p}\right)^4$

d)

$\ ^3\sqrt{\left(10p\right)^4}$

45.

Rewrite in radical form.

$\left(2a\right)^{\frac{5}{6}}$

a)

$\ ^6\sqrt{2a^5}$

b)

$\ ^6\sqrt{\left(2a\right)^5}$

c)

$\ ^5\sqrt{2a^6}$

d)

$\ ^5\sqrt{\left(2a\right)^6}$

46.

Write using a rational exponent: $\sqrt[]{x^{11}}$

a)

$x^{\frac{11}{2}}$

b)

$x^{11}$

c)

$x^9$

d)

$x^{10}$

47.

Write using a radical: $x^{\frac{1}{8}}$

a)

$\sqrt[8]{x^{ }}$

b)

$\sqrt[]{x^8}$

c)

$\sqrt[]{x^{\frac{1}{8}}}$

d)

$x^8$

48.

(x + 1) ² = 25

a)

± 5

b)

4 or -6

c)

-4 or 6

d)

± 4

49.

$x^2+4=0$

a)

± 4

b)

± 2

c)

± 2i

d)

± 4i

50.

Solve the following quadratic equation:

4x² + 1 = -99

a)

x = ± 3i

b)

x = ± 10

c)

x = 0 and x = 1

d)

x = ± 5i

51.

Solve the following quadratic equation:

(x-3)² = -81

a)

x = ±3 + 9i

b)

x = -3 ± 9i

c)

x = -3 + 9i

d)

x = 3 ± 9i

52.

Solve the following quadratic equation:

-6x² - 5 = 13

a)

x = ±√3 ⋅ i

b)

x = ±√-3 ⋅ i

c)

±3i

d)

±√(3i)

53.

Solve the following quadratic equation:

(x-4)² = -64

a)

x = 4 ± 8i

b)

x = -4 ± 8i

c)

x = 4 ± 64i

d)

x = -4 ± 64i

54.

(7 - 5i)(7 + 5i)

a)

74

b)

24

c)

49 - 25i

d)

49 + 25i

55.

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

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

56.

Simplify:

$(1+3i)+(7-2i)$

a)

$8+i$

b)

$i+8$

c)

$8+5i$

d)

$8-5i$

57.

Multiply: $\left(3+i\right)\left(3-i\right)$

a)

9 - i

b)

9 + i

c)

10

d)

8

58.

(10-6i) - (2+3i)

a)

12 + 3i

b)

8 - 3i

c)

8 - 9i

d)

-9i + 8

59.

Choose the correct answer for the operation pictured.

a)

7 - 13i

b)

7 - i

c)

1 - 13i

d)

1 - i

60.

Simplify.

a)

-5i

b)

5

c)

5i

d)

-5

61.

If you invest $300 at 6% compounded monthly, how much money do you have after 4 years?

a)

$381.14

b)

$381.15

c)

$1274.01

d)

$381.37

62.

The Arnold's took out a loan for $195,000 to purchase a home. At a 4.3% interest rate compounded annually, how much total will they have paid after 30 years?

a)

$412,749.79

b)

$529.305.61

c)

$689,546.99

d)

$640,891.53

63.

What is "n" if the interest is compounded monthly?

a)

2

b)

12

c)

365

d)

4

64.

What is "n" if the interest is compounded daily?

a)

1

b)

12

c)

365

d)

4

65.

What is 7.25% converted to a decimal?

a)

.725

b)

0.725

c)

0.0725

d)

7.25

66.

If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?

a)

$1,225,54

b)

$2,225.54

c)

$22,255.40

d)

$225.54

67.

18% as a decimal:

a)

0.18

b)

18

c)

1.8

d)

0.81

68.

6% as a decimal:

a)

0.06

b)

0.6

c)

6

d)

600

69.

What does the P stand for in this formula?

a)

Initial amount

b)

Final amount

c)

Rate

d)

Time

e)

The number of times compounded per year

70.

Damara invests $3500 at 2% compounded continuously for 5 years. How much will she have in her account after 5 years?

a)

$3868.10

b)

$3886.10

c)

$3688.10

d)

$3286.10

71.

Ashleigh put some money into an account paying 4.5% compounded continuously for 10 years. She now has $3567.91 in the account. How much money did she start the account with?

a)

$2275

b)

$2725

c)

$2572

d)

$3275

72.

$x^2-6x+4=0$

a)

$3\pm\sqrt{5}$

b)

$\frac{6\pm\sqrt{20}}{2}$

c)

$3\pm\sqrt{20}$

d)

$3\pm i\sqrt{13}$

73.

Solve using the Quadratic Formula:
x² + 4x + 3 = 0

a)

x = 1 and x = 3

b)

x = 6 and x = -2

c)

x = -1 and x = -3

74.

Solve 2x² + 7x - 15 = 0

a)

x = -3/2 and x = 5

b)

No Solution

c)

x = -5 and x = 3/2

d)

x = 0.7 and x = 5

75.

find x for
2x²-8x-24=0

a)

x= 6, -2

b)

x= 2, -6

c)

x= 4, 2

d)

x= 2, 6

76.

Match the equation to its description.

a)

Reflected over x-axis and shifted up 4

b)

Reflected over x-axis and shifted down 4

c)

Reflected over x-axis and shifted right 4

d)

Reflected over x-axis and shifted left 4

77.

What steps transform the graph y = x² to y = x² + 8

a)

shifted up 8 units

b)

shifted down 8 units

c)

shifted left 8 units

d)

shifted right 8 units

78.

What steps transform the graph y = x² to y = 2(x+2)² - 5?

a)

V. shrink by 2, shifted 2 units left and 5 down

b)

Stretch by 5, shifted 5 units left and 2 down

c)

Stretch by 2, shifted 2 units left and 5 down

d)

V. shrink by 5, shifted 2 units left and 2 down

79.

What steps transform the graph y = x² to y = -1/2(x-4)² + 1?

a)

Compressed by 1/2, shifted 4 units right and 1 unit up

b)

Reflected across x-axis, compressed by 1/2, shifted 4 units right and 1 unit up

c)

Reflected across x-axis, stretched by 1/2, shifted 4 units left and 1 unit up

d)

Stretched by 1/2, shifted 4 units right and 1 unit down

80.

What are the transformations of this functions compared to the parent function?

a)

Shifted down 2

b)

Shifted up 2

c)

Shifted left 2

d)

Shifted right 2

81.

What are the transformations for the graph of
the parent function f(x) = √x to the function above

a)

Vertical Stretch by a factor of 2; translated down 5 units

b)

Shifted right 2 units and down 5 units

c)

Vertical stretch by a factor of 2; translated left 5 units

d)

Vertical stretch by a factor of 2; translated right one unit

82.

Describe the transformation.

a)

Right 10

b)

Up 10

c)

Down 10

d)

Left 10

83.

Determine the order of transformations

a)

left 1, reflected over x-axis

b)

up 1, reflected over y-axis

c)

right 1, reflected over x-axis

d)

left 1, reflected over y-axis

84.

Select all the transformations that apply.

y = -2 log _1/2x

a)

Vertical stretch by 2

b)

Vertical shrink by 1/2

c)

Reflection across the y-axis

d)

Reflection across the x-axis

85.

What are the transformations of this graph?

a)

Right 1 Up 5

b)

Right 1 Down 5

c)

Left 1 Up 5

d)

Left 1 Down 5

Algebra 2 MP2 2025-26 Review

Total questions: 85

Worksheet time: 5hrs 27mins

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