Free Printable Honors Algebra 1 Final 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.

Simplify the expression shown. Your answer should contain only positive exponents.

a)

-24x⁴y⁶

b)

12x⁴y⁵

c)

-24x⁴y²⁴

d)

-3x⁴y²

5.

Simplify the expression shown. Your answer should contain only positive exponents.

a)

3x²y⁴

b)

-3xy⁴

c)

1/3x³y⁴

d)

x²y⁴/3

6.

Check all that is true

Simplify the expression:

36^1/2

a)

6

b)

$\sqrt{36}$

c)

-6

d)

1296

7.

Check all that is true

Simplify the expression:

27^1/3

a)

3

b)

9

c)

∛27

d)

3³

8.

How would you write 4.3756 x 10⁴in standard form?

(a)

9.

How would you write 0.0005 in scientific notation?

a)

50 x 10^-5

b)

5 x 10^-4

c)

5 x 10³

d)

.5 x 10³

10.

Multiply:
(3.4 x 10⁵)(1.2 x 10^-3)

a)

4.08 x 10^-8

b)

4.8 x 10²

c)

4.08 x 10²

d)

4.08 x 10^-15

11.

Divide:
(6.9 x 10⁷) / (2.3 x 10^-3)

a)

3 x 10¹⁰

b)

3 x 10⁴

c)

3 x 10^-4

d)

3 x 10^-11

12.

Solve:
(2.1×10²) × (3.0×10⁴)

a)

5.1 x 10²

b)

6.3 x 10⁶

c)

5.1 x 10⁶

d)

6.3 x 10⁸

13.

Solve:
(9 x 10^-6) / (3 x 10^-3)

a)

27 x 10^-9

b)

3 x 10^-3

c)

3 x 10^-9

d)

27 x 10^-3

14.

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

a)

Growth

b)

Decay

15.

Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)³

a)

Growth

b)

Decay

16.

Is this exponential growth or decay?

a)

Growth

b)

Decay

17.

What is the graph of the function

y=5\cdot2^x

a)

b)

c)

d)

18.

Use the function $m\left(t\right)=.05\left(2\right)^t$ where M is the amount of money you have after t days.

How much money will you have after 14 days?

a)

$ 819.20

b)

$ 1.4

c)

$ 140

19.

Use the function $n\left(t\right)=14000\left(.96\right)^t$ Where n is the number of employees and t is the number of years.

How many employees will there be after 3 years?

a)

14,000 employees

b)

12,386 employees

c)

40,360 employees

d)

15,748 employees

20.

Find the balance in the account after the given period.

$12,000 principal earing 4.8% compounded annually after 7 years.

a)

$3,243.19

b)

$16,661.35

c)

$15,243.19

d)

$4,661.35

21.

Find the balance in the account after the given period.

$5000 deposit earning 1.5% compounded quarterly after 3 years

a)

$5,229.70

b)

$7,604.38

c)

$7,777.27

d)

$5,538.86

22.

Find the balance in the account after the given period.

$13,500 deposit earning 3.3% compounded monthly after 1 year

a)

$13,611.38

b)

$14,898.84

c)

$13,537.13

d)

$13, 952.30

23.

Will deposits $1650 for three years at 3% interest, compounded daily. What is his ending balance?

a)

$1,700.25

b)

$4,056.85

c)

$2,103.87

d)

$1,805.38

24.

Which polynomial is written in standard form?

a)

-3x + 8x² + 9x³ - 11

b)

9x³ + 8x²- 3x - 11

c)

8x²+ 9x³ -11 - 3x

d)

-11 - 3x + 8x² + 9x³

25.

Which polynomial is written in standard form?

a)

8x - 11x²

b)

4x³ + 7x - 9

c)

12 + 4x

d)

13x + 7x² - 9x³ + 12

26.

Add the following polynomials:
(5x + 2) + (4x + 5)

a)

9x -7

b)

-9x-11

c)

9x+7

d)

x+7

27.

Add the following polynomials:
(6n²- 7n⁴+8) + (6 + 8n + 4n⁴)

a)

-3n⁴+ 6n²+8n+14

b)

-n⁴-2n²+8n+7

c)

-n⁴ + 6n²+8n+7

d)

-3n⁴+ 6n²+8n+7

28.

Subtract the following polynomials:
(a³ - 2a²) - (-4a³ + 4a²)

a)

-5a⁶- 5a⁴

b)

5a³ - 2a²

c)

-2a³ - 6a²

d)

5a³ - 6a²

29.

Subtract the following polynomials:
(7p + 4p³ - 8) - (-3p²+ 2 - 9p)

a)

-3p²+ 4p³ -15 + 9

b)

3p³ + 4p² - p + 3

c)

4p³ +3p² +16p -10

d)

4p³ +3p² + 16p + 10

30.

Find the product:
5xy(6x - y)

a)

11x² - y²

b)

30x² + y²

c)

30x²y - 5xy²

d)

11x²y + 5x²y²

31.

Use the FOIL method to multiply:
(x+10)(x-10)

a)

x² - 100

b)

x² + 100

c)

x² + 20x - 100

d)

x² -20x + 100

32.

Use the FOIL method to multiply:
(x-7)²

a)

x²-49

b)

x²+49

c)

x²-14x+49

d)

x²-14x-49

33.

Classify by number of terms:

3x³ – 6x

a)

Monomial

b)

Binomial

c)

Trinomial

34.

What is the CONSTANT of this polynomial?

2x³- 8x²+ 3x - 7

a)

2

b)

-8

c)

3

d)

-7

35.

(4a + 2)(6a² − a + 2)

a)

24a³ + 16a² + 6a + 4

b)

24a³ + 8a² + 10a + 4

c)

24a³ + 8a² + 6a + 4

d)

24a³ - 8a² - 6a + 4

36.

Classify by degree of polynomial:
2x – 9

a)

Constant

b)

Linear

c)

Quadratic

d)

Cubic

37.

Classify by degree of polynomial:
3x³ – 6x

a)

Constant

b)

Linear

c)

Quadratic

d)

Cubic

38.

√36

a)

4

b)

3

c)

6

d)

5

39.

a)

100

b)

√20

c)

10√2

d)

2√10

40.

a)

3√2

b)

√6

c)

6

d)

2√3

41.

a)

-15√2

b)

-6√5

c)

-150

d)

15√2

42.

√3 × √15 =

a)

3√5

b)

5√3

c)

2√7

d)

√17

43.

2√5 + 4√5 =

a)

6√10

b)

8√10

c)

8√5

d)

6√5

44.

√8 - 6√2

a)

-4√2

b)

2√2

c)

-6√6

d)

-6√10

45.

2√3(√6 - √3)

a)

6√2 - 6

b)

3√2 + 3

c)

6 - √3

d)

√3 - √2

46.

Simplify the expression.

\sqrt{\frac{49}{25}}

a)

$2\sqrt{6}$

b)

$\frac{7}{25}$

c)

$\frac{\sqrt{35}}{5}$

d)

$\frac{7}{5}$

47.

Simplify the expression.

\sqrt{\frac{192}{3}}

a)

$64$

b)

$8$

c)

$\frac{1}{8}$

d)

$2\sqrt{2}$

48.

Simplify the expression.

\frac{-4\sqrt{84}}{\sqrt{3}}

a)

$-8\sqrt{7}$

b)

$\frac{-8\sqrt{7}}{3}$

c)

$8i\sqrt{7}$

d)

$\frac{8i\sqrt{21}}{3}$

49.

Simplify the expression.

\frac{-10\sqrt{81}}{\sqrt{6}}

a)

$-45\sqrt{2}$

b)

$45i\sqrt{2}$

c)

$-15\sqrt{6}$

d)

$15i\sqrt{6}$

50.

a)

x = 49

b)

x = 53

c)

x = 45

d)

x = 18

51.

a)

x = 2

b)

x = 4

c)

x = 7

d)

x = 9

52.

a)

x = -6

b)

x = 3

c)

x = -3

d)

x = 5±

53.

Factor
k²+7x+10

a)

(k+2)(k+5)

b)

(k-2)(k-5)

c)

(k+10)(k+4)

d)

(k+2)(k-5)

54.

Factor
n² + 16n + 63

a)

(n-7)(n+4)

b)

(n+7)(n-9)

c)

(n-3)(n-10)

d)

(n+7)(n+9)

55.

x² - 9

a)

(x + 3) (x - 3)

b)

(x - 3) (x - 3)

c)

(x + 3) (x - 6)

d)

Can't factor using Diff. of Squares

56.

4a² - 25

a)

(2a + 5) (2a - 5)

b)

(2a - 5) (2a - 5)

c)

(x + 5) (x - 5)

d)

Can't factor using Diff. of Squares

57.

Solve
4m² - 100 = 0

a)

m=25, -25

b)

m=96

c)

m=5, -5

d)

m=-96

58.

Solve
a² + 2a - 24 = 0

a)

a = -6, 4

b)

a = 6, -4

c)

a = 12, -2

d)

a = 8, -3

59.

Determine the values of
a, b, and c for
the quadratic equation:
4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

60.

Complete the square for

x² - 12x + ____

a)

144

b)

36

c)

- 36

d)

24

61.

Complete the square.

x² + 6x + ____

a)

9

b)

12

c)

36

d)

- 9

62.

Solve by completing the square.
y² + 10y = -9

a)

1 and -12

b)

-1 and -9

c)

1 and -9

d)

1 and -1

63.

Solve by completing the square.
x² +12x = 5

a)

X = 6 + √41 or 6 − √41

b)

X= 35 or 47

c)

X = −6 + √41 or −6 − √41

d)

X = √35 or √47

64.

Determine the values of a, b, and c for the quadratic equation:

4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

65.

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

a)

No Real Solution

b)

c)

d)

66.

Solve using the quadratic formula.
2x² - 9x - 35 = 0

a)

x = 7/2, x = -6

b)

x = -5/2, x =5

c)

x = -3/7, x =6

d)

x = -5/2, x = 7

67.

Solve using the quadratic formula...

9x² = 4 + 7x

a)

b)

c)

d)

No solution

68.

1 The discriminant is

a)

aX² + bX + c

b)

b - 4ac

c)

b² - 4ac

d)

b² + 4ac

69.

1 What does the discriminant tell us?

a)

The maximum or minimum

b)

The y-intercept

c)

The number and type of solutions

d)

The axis of symmetry

70.

2 For the function below, is the discriminant positive, negative, or zero?

y = x² + 4x + 4

a)

Positive

b)

Negative

c)

Zero

71.

4 Determine the value of the discriminant and name the nature of the solution for the following:

x² + 2x - 63

Remember: b² - 4ac

a)

256 - 2 reals - Rational

b)

√(-256 - 2 imaginary solutions

c)

√(137) - 2 reals - Irrational

d)

123 - 2 reals - Rational

Honors Algebra 1 Final Review

Total questions: 71

Worksheet time: 18hrs 45mins

Similar Resources on Wayground