Free Printable Honors Alg 2 First day

1.

Solve the following equation:

$-1x+4x+6=9$

(a)

2.

Solve the following equation:

$-1x+4x+6=9$

(a)

3.

Solve the following equation:

$2\left(x+4\right)=14$

(a)

4.

Solve the following equation:

$-5\left(-1x-1\right)=15$

(a)

5.

Solve the following equation:

$7\left(x-1\right)-3-8x=-9$

(a)

6.

Solve the following equation:

$5\left(2x+5\right)-5x=50$

(a)

7.

Solve the following equation:

$8x=3x+35$

(a)

8.

Solve the following equation:

$7y=33-4y$

(a)

9.

Solve the following equation:

$2x+48=10x$

(a)

10.

Solve the following equation:

$5x-26=18x$

(a)

11.

Solve the following equation:

$x=8x+28$

(a)

12.

Solve the following equation:

$-30n=-27n-63$

(a)

13.

Solve the following equation:

$4x+4=2x+36$

(a)

14.

Solve the following equation:

$9y-1=y-25$

(a)

15.

Solve the following equation:

$14p-8=22+20p$

(a)

16.

Solve the following equation:

$x+81=9x-7$

(a)

17.

Solve the following equation:

$39-12y=7-16y$

(a)

18.

Solve the following equation:

$63-x=2x+3$

(a)

19.

Solve the following equation:

$3n+46=1+8n$

(a)

20.

Solve the following equation:

$12y-18=13y+18$

(a)

21.

Solve the following equation:

$-x-1=x-21$

(a)

22.

Factor out the GCF:
12x + 6

a)

6(2x + 1)

b)

3(4x + 2)

c)

6x(2x + 1)

d)

2(6x + 3)

23.

Factor out the GCF:
10x³ - 15x

a)

x(10x² - 15)

b)

5x(2x² - 3)

c)

5(2x³ - 3x)

d)

5x²(10x - 3)

24.

Factor 4b⁵+4b³+16b²

a)

4b³(b⁴+b²+4b)

b)

4b³(b⁴+4b+5)

c)

4(b⁵+b³+4b²)

d)

4b²(b³+b+4)

25.

Which answer choice lists all the factors for 27?

a)

3, 9

b)

1, 3, 9, 27

c)

1, 3, 6, 9, 12, 27

26.

Factor
10x² + 15x-5

a)

25(10x³+45x-15)

b)

5(2x³ + 3x²-x)

c)

x(10x³+15x-5)

d)

5(2x²+3x-1)

27.

7r³-8r²+42r-48

a)

(r²+6)(7r+8)

b)

(r²+6)(7r-8)

c)

(r²+6)(r²+8)

d)

(r²+6)(7r+6)

28.

20x³-25x²+4x-5

a)

(5x²-5)(4x+1)

b)

5(x²-1)(4x+5)

c)

(5x²+1)(4x-5)

d)

(5x²+1)(4x-1)

29.

2x³-8x²-x+4

a)

(2x²-1)(x-4)

b)

2(x²-1)(x+4)

c)

(x²-1)(2x-4)

d)

(2x²+1)(x-4)

30.

x³-5x²+5x-25

a)

(x²-5)(x-5)

b)

(x²+5)(x-5)

c)

(x²+5)(x+5)

d)

(x²-1)(x-25)

31.

30x³+15x²-18x-9

a)

(5x²-3)(6x+1)

b)

(5x²-3)(6x+3)

c)

3(5x²+3)(2x-1)

d)

3(5x²-3)(2x+1)

32.

Factor by grouping:
x³+7x²-2x-14

a)

(x²-2)(x-7)

b)

(x²+2)(x-7)

c)

(x²+2)(x+7)

d)

(x²-2)(x+7)

33.

Factor out the GCF:
12x + 6

a)

6(2x + 1)

b)

3(4x + 2)

c)

6x(2x + 1)

d)

2(6x + 3)

34.

Factor out the GCF:
10x³ - 15x

a)

x(10x² - 15)

b)

5x(2x² - 3)

c)

5(2x³ - 3x)

d)

5x²(10x - 3)

35.

Factor 4b⁵+4b³+16b²

a)

4b³(b⁴+b²+4b)

b)

4b³(b⁴+4b+5)

c)

4(b⁵+b³+4b²)

d)

4b²(b³+b+4)

36.

Which answer choice lists all the factors for 27?

a)

3, 9

b)

1, 3, 9, 27

c)

1, 3, 6, 9, 12, 27

37.

Factor
10x² + 15x-5

a)

25(10x³+45x-15)

b)

5(2x³ + 3x²-x)

c)

x(10x³+15x-5)

d)

5(2x²+3x-1)

38.

7r³-8r²+42r-48

a)

(r²+6)(7r+8)

b)

(r²+6)(7r-8)

c)

(r²+6)(r²+8)

d)

(r²+6)(7r+6)

39.

20x³-25x²+4x-5

a)

(5x²-5)(4x+1)

b)

5(x²-1)(4x+5)

c)

(5x²+1)(4x-5)

d)

(5x²+1)(4x-1)

40.

2x³-8x²-x+4

a)

(2x²-1)(x-4)

b)

2(x²-1)(x+4)

c)

(x²-1)(2x-4)

d)

(2x²+1)(x-4)

41.

x³-5x²+5x-25

a)

(x²-5)(x-5)

b)

(x²+5)(x-5)

c)

(x²+5)(x+5)

d)

(x²-1)(x-25)

42.

30x³+15x²-18x-9

a)

(5x²-3)(6x+1)

b)

(5x²-3)(6x+3)

c)

3(5x²+3)(2x-1)

d)

3(5x²-3)(2x+1)

43.

Factor by grouping:
x³+7x²-2x-14

a)

(x²-2)(x-7)

b)

(x²+2)(x-7)

c)

(x²+2)(x+7)

d)

(x²-2)(x+7)

44.

What is the solution to the system?

a)

(-1, 3)

b)

(-3, 1)

c)

(3, -1)

d)

(-3, -1)

45.

What is the number of solutions to the system of equations?

a)

No Solution

b)

Infinitely Many Solutions

c)

One Solution

d)

Two Solutions

46.

How many solutions are there in the system of equations?

a)

No Solution

b)

Infinitely Many Solutions

c)

One Solution

d)

Two Solutions

47.

What is the solution to the system of equations?

a)

No Solution

b)

(2, 0)

c)

Infinitely Many Solutions

d)

(0, 2)

48.

What is the solution to the system of equations?

a)

(-1, -3)

b)

(3, 1)

c)

(1, 3)

d)

(-3, -1)

49.

What is the solution to the system of equations?

a)

(2, -2)

b)

(2, 2)

c)

No Solution

d)

(-2, -2)

50.

What is the solution to the system of equations?

a)

(3, 4)

b)

(-3, -4)

c)

(-4, -3)

d)

(4, 3)

51.

What is the solution to the system of equations?

a)

(-3, 1)

b)

(1, -3)

c)

(3, -1)

d)

(-1, 3)

52.

What is the solution to the system of equations?

a)

No Solution

b)

Infinitely Many Solutions

c)

(7, -2)

d)

(-5, -5)

53.

What is the solution to the systems of equations?

a)

(-7, -9)

b)

(-10, 5)

c)

No Solution

d)

Infinitely Many Solutions

54.

Does this recursive routine model growth or decay?
U₁ = 1000
U_n+1 = U_n*1.25

a)

Decay

b)

Growth

55.

Does this recursive routine model growth or decay?
U₁ = 525
U_n+1 = U_n* .75

a)

Decay

b)

Growth

56.

What is the common ratio for the sequence:
28, 14, 7, 3.5...

a)

2

b)

1/2

c)

-14

d)

-7

57.

What is the common ratio for the sequence:
3, 15, 75...

a)

12

b)

1/5

c)

5/1

d)

4/5

58.

What is the explicit rule for the sequence:
11, 22, 44, 88...

a)

a_n = 2(11)^n-1

b)

a_n = 11x2

c)

a_n = 11(2)^n-1

d)

a_n+1 = a_{n *}2; a₁ = 11

59.

Write the explicit rule in recursive form: f_n = 11(2)^n-1

a)

f_n=f_{n-1 *}11 ; f₁=2

b)

f_n=f_{n-1 *}2 ; f₁=11

60.

The recursive formula is used to find the next value in a sequence of numbers.

a)

True

b)

False

61.

The explicit formula is used to find a specific term in a sequence.

a)

True

b)

False

62.

Does this recursive routine model growth or decay, and by what percent?
U₁ = 10
U_n+1 = U_n*.75

a)

Growth, 75%

b)

Growth, 25%

c)

Decay, 75%

d)

Decay, 25%

63.

Simplify:
(x³)(x²)

a)

x⁵

b)

x⁶

c)

x

d)

x^1.5

64.

Simplify:
x⁵÷ x²

a)

x⁷

b)

x³

c)

x¹⁰

d)

x^2.5

65.

Simplify:
(x³)⁴

a)

x⁷

b)

x¹²

c)

x^-1

d)

x^3/4

66.

Simplify:
3p²x 2p⁴q²

a)

6p^-2q²

b)

6p²q²

c)

6p⁸q²

d)

6p⁶q²

67.

Simplify:
2a⁷÷ 2a³

a)

a⁴

b)

1/a⁴

c)

2a⁴

d)

a^7/3

68.

Simplify:
(3t²)³

a)

9t⁶

b)

9t⁵

c)

27t⁶

d)

27t⁵

69.

Simplify:
3(x³y²)²

a)

3x⁶y⁴

b)

3x⁵y⁴

c)

9x⁶y⁴

d)

9x⁵y⁴

70.

Simplify:
(x³y²)(xy⁴)

a)

x³y⁸

b)

x⁴y⁶

c)

x³y⁶

d)

x⁴y⁸

71.

Evaluate:
2^-3

a)

-8

b)

1/8

c)

-6

d)

1/6

72.

Simplify:
(64a⁶)^1/2

a)

32a³

b)

32a⁴

c)

8a⁴

d)

8a³

73.

a)

14

b)

16

c)

18

d)

22

74.

a)

25

b)

20

c)

15

d)

5

75.

Evaluate this expression using the quotient rule.

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

76.

Evaluate the expression using the quotient rule.

a)

x¹³

b)

x⁵

c)

x³⁶

d)

x^-5

77.

Simplify (-1/2)⁰

a)

1

b)

0

c)

-1

d)

-2

78.

(2x³y)⁶

a)

2x¹⁸y⁶

b)

64x¹⁸y⁶

c)

64x³y⁶

d)

2x³y⁶

79.

4⁰

a)

0

b)

1

c)

4

d)

-4

80.

Simplify the following expression:
xy^-7

a)

xy⁷

b)

x/y⁷

c)

x⁷/y

d)

x⁷y

81.

x³y/xy⁵

a)

x²y⁴

b)

x³y⁴

c)

x²/y⁴

d)

x²/y⁵

82.

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

a)

Multiply

b)

Add

c)

Divide

d)

Subtract

83.

Simplify:
b²⋅ b⁴

a)

b⁸

b)

b⁶

c)

b²

d)

2b⁶

84.

a)

m⁴

b)

m⁶

c)

m¹⁰

d)

1/m⁶

85.

a)

4^-2

b)

1/4²

c)

1/16

d)

all of the above

86.

a)

5²⁹

b)

5^-5

c)

5^-12

d)

5¹⁷

Honors Alg 2 First day

Total questions: 86

Worksheet time: 5hrs 7mins

Similar Resources on Wayground