Free Printable Honors Algebra Fall Final 2018

1.

(3⁴)(3⁷)

a)

3²⁸

b)

3³

c)

3^-3

d)

3¹¹

2.

(x⁸)(x^-5)

a)

x^-40

b)

x^-13

c)

x¹³

d)

x³

3.

(5⁸) / (5³)

a)

5⁵

b)

1⁵

c)

5¹¹

d)

1¹¹

4.

(v^-5) / (v^-9)

a)

v^-14

b)

v⁴

c)

1/v⁴

d)

1/v¹⁴

5.

(8⁵)³

a)

8⁸

b)

8¹⁵

c)

8²

d)

1/8²

6.

(t^-6)^-5

a)

t^-11

b)

t^-30

c)

t³⁰

d)

t¹¹

7.

4^-8

a)

1⁸/4

b)

4⁸/1

c)

4/1⁸

d)

1/4⁸

8.

7⁰

a)

7¹

b)

0¹

c)

1

d)

7

9.

Simplify
(2a²b⁴z)(6a³b²z⁵)

a)

8a⁵b⁶z⁶

b)

12a⁶b⁸z⁵

c)

12a⁵b⁶z⁶

d)

8a⁶b⁸z⁵

10.

Simplify the following expression:
xy^-7

a)

xy⁷

b)

x/y⁷

c)

x⁷/y

d)

x⁷y

11.

Simplify
(3x³y⁵)⁴

a)

3x¹²y²⁰

b)

81x¹²y²⁰

c)

12x¹²y²⁰

d)

81x⁷y⁹

12.

a)

2a²b⁶

b)

1/2a²b⁶

c)

b⁶/2a²

d)

2b⁶/a²

13.

a)

5^-8

b)

5²

c)

25^-8

d)

25²

14.

a)

3^-5 = 1/3⁵

b)

3⁵

c)

3⁴²

d)

1/9

15.

a)

x⁸

b)

x^-5

c)

x^-8

d)

x^-13

16.

2(4 + 9w)

a)

8+9w

b)

2+9

c)

8+18w

d)

2+9w

17.

-4(-4d - 5)

a)

-16d+20

b)

16+20

c)

16d+20

d)

16s-20

18.

Simplify the following expression
7 - 8c + 3 - 6c

a)

-10+14c

b)

-25

c)

10-14c

d)

25c

19.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

20.

Simplify:
3(9 + 2d) + 4d

a)

18d+10d

b)

18d-10d

c)

27+10d

d)

37d

21.

Simplify.

2/5(10x+25)

a)

50x+100

b)

2x+5

c)

4x+10

d)

4x+25

22.

The temperature on Sunday was -15^o C. The temperature on Monday was 12 degrees less than the temperature on Sunday. What was the temperature on Monday?

a)

-27^o C

b)

27^o C

c)

-3^o C

d)

3^o C

23.

The temperature dropped 3 degrees every hour for six hours. How much did the temperature drop in all?

a)

-18

b)

9

c)

18

d)

-9

24.

This law says that to raise a power to a power you need to multiply the exponents. There are several other rules that go along with the power rule, such as the product-to-powers rule and the quotient-to-powers rule.

a)

Zero-Exponent Rule

b)

Power Rule

c)

Negative Exponent Rule

d)

Quotient Rule

25.

(a^m)ⁿ = a^mn, This rule says that to raise a power to a power you need to multiply the exponents.

a)

Product Rule

b)

Quotient rule

c)

Power Rule

d)

Negative Exponen

26.

3x²+4x²+7 is

a)

7x⁴+7

b)

7x² + 7

c)

7x⁵

d)

7

27.

Which of these are like terms in the following expression:
3x + 7 - 9x + 24y + 2x²

a)

7, 24y

b)

3x, 9x

c)

3x, -9x

d)

3x, -9x, 2x²

28.

3x + 12 - 7x + 1 = -7

a)

x = -5

b)

x = 5

c)

x = 1

d)

x = -1.5

29.

2x - 1 + x + x + 5 = 180

a)

x = 44

b)

x = 46

c)

x = 88

d)

x = 184

30.

|6 - 2f| = -5

a)

11/2, 1/2

b)

-5, 5

c)

1, 3

d)

⊘ No solution

31.

Solve |x – 12| - 3 = 11.

a)

-2, -26

b)

-2, 26

c)

3, 25

d)

4, -7

32.

Solve for x.
2|x + 1| - 5 = 5

a)

x = 4 & x = 6

b)

x = -4 & x = 6

c)

x = -6 & x = 4

d)

no solution

33.

Solve for x
l 4x−3 l = 17

a)

x = 5 and x =-3.5

b)

x = 0 and x = -5

c)

x = 10 and x = -10

d)

No Solution

34.

−2|−2r − 4| = -12

a)

{3,1}

b)

{-3,-1}

c)

{-3}

d)

No Solution

35.

0 < x + 7 < 9

a)

-7<x and x<2

b)

-7<x or x<2

c)

-7>x and x>2

d)

-7>x or x>2

36.

Solve: -3 ≤ 2x - 1 ≤ 5

a)

-1 ≤ x ≤ 3

b)

-1 < x < 3

c)

1 < x < 3

d)

1 ≤ x ≤ 3

37.

What inequality is graphed?

a)

x > 2 and x ≤ -3

b)

x > 2 and x < -3

c)

x > 2 or x ≤ -3

d)

x > 2 or x < -3

38.

Your taxi fare is $2.50 per mile, plus a $5 fee. You cannot exceed $20. Which inequality models this scenario?

a)

5x + 2.50 ≤ 20

b)

2.50x + 5 < 20

c)

2.50x + 5 ≤ 20

d)

7.50x < 20

39.

Four times a number, increased by 6 is greater than 22. Which inequality models this scenario?

a)

4x - 6 > 22

b)

4x + 6 < 22

c)

4x + 6 ≥ 22

d)

4x + 6 > 22

40.

Solve for a.

a)

a = pw

b)

a = p/w

c)

a = w/p

d)

a = w + p

41.

What inequality is graphed?

a)

x > 2 and x < 4

b)

2 ≤ x ≤ 4

c)

x > 2 or x < 4

d)

x ≥ 2 or x ≤ 4

42.

What are the solutions of 9|10(x-4)|+7=-29?

a)

This equation has no solution.

b)

x=0

c)

x=-4;x=4

d)

x=9;x=-9

43.

How many solutions will |x-3|=-8 have?

a)

no solutions

b)

two solutions

c)

one solution

44.

a)

No solution

b)

All real numbers

c)

-1 < a < 9/7

d)

-5/7 < a < 1

45.

|-7n + 4| + 9 = 34

a)

n = -3

b)

n = 1, n = 8

c)

n = -3, n = 4

d)

n = -3, n = 29/7

46.

Match the system to the graph (solution set is on the left)

a)

y ≤ 3x and y ≤ -2x + 4

b)

y > 3x and y > -2x + 4

c)

y < 3x and y > -2x + 3

d)

y > 3x and y < -2x + 4

47.

Which system of inequalities matches the graph?

a)

y > 2x - 4
y < 2

b)

y < 2x - 4
y < 2

c)

y > 2x - 4
y < 2

d)

y < 2x - 4
y < -2

48.

Which of the following is not a solution to this system of inequalities?

a)

(0,-1)

b)

(0,3)

c)

(4,0)

d)

(6,-2)

49.

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

a)

Solution

b)

Not a solution

50.

Which system of inequality is shown?

a)

y ≥ -x - 1
y < x + 4

b)

y < -x - 1
y ≥ x + 4

c)

y > -x - 1
y ≥ x + 4

d)

y > -x - 1
y ≥ x + 4

51.

Which of the systems below produces this graph?

a)

y > -4/5x - 1 and y ≤ 2/3x + 3

b)

y ≥ -3/4x - 1 and y ≤ 1/2x + 3

c)

y < -3/4x - 1 and y < 1/2x + 3

d)

y < -4/5x - 1 and y ≥ 2/3x + 3

52.

Rewrite this inequality in "y=" form to graph.
3x - 6y > 12

a)

y > ¹/₂x - 2

b)

y < -¹/₂x + 2

c)

y < ¹/₂x - 2

d)

y > -3x - 2

53.

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

a)

TRUE

b)

FALSE

54.

What is the solution?

a)

(6, 3)

b)

(3, 6)

c)

(-6, 3)

d)

No solution

55.

What is the solution to the system?

a)

(0, 3)

b)

(1, -1)

c)

(-3, 1)

d)

(1, 3)

56.

^{What is the solution?}

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

57.

Parallel Lines never intersect because...

a)

they have the same slopes.

b)

they have the same y-intercept.

c)

they have different slopes.

d)

they have different y-intercepts.

58.

Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3

a)

(0,3)

b)

(3,0)

c)

No solution(parallel lines)

d)

Infinitely many solutions

59.

Solve for x and y.
y = 2/3x - 2
y = -x + 3

a)

(0,3)

b)

(0,-3)

c)

(3,0)

d)

(-3,0)

60.

How many solutions does this system of equations have?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

d)

Two Solutions

61.

Solve for x and y
3x + 2y = 16
7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

62.

y = -6x + 5
-2x + y = 5

a)

(-3, -6)

b)

(-6, 3)

c)

(0, 5)

d)

(-3, 5)

63.

Multiplication of a scalar by a matrix is done by

a)

Multiplying every entry by the scalar

b)

pre-multiplying every row by the scalar

c)

post-multiplying the matrix by the scalar

d)

All the above

64.

Can you multiply a 3 x 4 matrix with a 4 x 2 matrix?

a)

Yes

b)

No

65.

A 4 x 2 matrix Multiplied by a 2 x 5 matrix results in a

a)

2 x 5 matrix

b)

4 x 2 matrix

c)

2 x 5 matrix

d)

4 x 5 matrix

66.

Find B-A

a)

-3 1
7 -1

b)

1 0
1 -4

c)

4 0
-6 0

d)

not possible because rows do not match columns

67.

What always comes first in reference to matrix order?

a)

Row

b)

Column

c)

Element

d)

Dimension

68.

What must be true in order to ADD two matrices?

a)

They must be square.

b)

The dimensions must be equal.

c)

The determinant can't equal 0.

d)

The column of the 1st must equal the row of the 2nd.

69.

What are the dimensions of this matrix?

a)

2 x 3

b)

3 x 2

c)

6 x 1

d)

1 x 6

70.

find: B*A

a)

47 30
9 5

b)

17 15
42 35

c)

10 25
7 1

d)

not possible because rows do not match columns

71.

Multiply

a)

20 15 -10
30 -5 0

b)

-20 15 -10
30 -5 0

c)

1 8 3
11 4 5

d)

20 -15 10
-30 5 0

72.

What do m, n, p and q equal in this scalar matrix multiplication?

a)

m=8, n=9, p=-4, q=4

b)

m=15, n = -45, p=20, q=-5

c)

m=20, n=-5, p=15, q=-45

d)

m=-5, n=20, p=-45, q=15

73.

You can multiply a 2X3 matrix by which matrix?

a)

2X2

b)

2X12

c)

3X12

d)

2X3

74.

What is the determinant of this matrix?

a)

5

b)

25

c)

-25

d)

1

75.

Find the determinant of the matrix

a)

A

b)

B

c)

C

d)

D

76.

Determine if the matrix has an inverse, if so find it.

a)

No

b)

0 1
-1 2

c)

-1 3
1 -2

d)

2 -1
-1 1

77.

What is 2P - Q ?

a)

b)

c)

d)

78.

What is P x Q ?

a)

b)

c)

d)

79.

Identify which of the following operations are NOT valid:

a)

DxC

b)

GxH

c)

CxH

d)

CxG

80.

Subtract

a)

-5
-8
3
10

b)

-9
8
3
2

c)

5
-8
3
10

d)

-5
8
3
2

81.

Multiply

a)

20 15 -10
30 -5 0

b)

-20 15 -10
30 -5 0

c)

1 8 3
11 4 5

d)

20 -15 10
-30 5 0

82.

What is the inverse of the following matrix?
⌈4 −3⌉
⌊12 3⌋

a)

⌈1/16 1/16⌉
⌊-1/2 1/12⌋

b)

⌈4/48 -3/48⌉
⌊12/48 3/48⌋

c)

⌈2/24 −3/48⌉
⌊-6/48 3/48⌋

d)

⌈3/48 3/48⌉
⌊-12/48 4/48⌋

83.

What is the value of element a₃₄?

a)

2

b)

-3

c)

6

d)

1

84.

Determine if the matrix has an inverse, if so find it.

a)

No

b)

0 1
-1 2

c)

-1 3
1 -2

d)

2 -1
-1 1

85.

Find the values of x, y and z.

a)

w = 13, x = 4, y = 7, z = 23

b)

w = 13, x = -4, y = 11, z = 23

c)

w = 13, x = 4, y = 11, z = 23

d)

w = 13, x = 4, y = 11, z = 17

86.

What is the value of element M_2,3?

a)

8

b)

7

c)

5

d)

4

87.

What is A^-1?

a)

b)

c)

d)

88.

Are these two matrices inverses of each?

a)

Yes

b)

No

c)

I don't know

d)

maybe

89.

What is the inverse of this matrix?

a)

b)

c)

d)

90.

a)

A

b)

B

c)

C

d)

D

91.

Are these matrices inverses of each other?

a)

No

b)

Yes

c)

Maybe

d)

I don't know

92.

For a school play, adults tickets a cost $12 and student tickets s cost $8. The drama club wants to collect at least $5000. Which inequality expresses the constraint on income?

a)

12a + 8s < 5000

b)

12a + 8s > 5000

c)

12a + 8s < 5000

d)

12a + 8s > 5000

93.

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

a)

Yes

b)

No

94.

Select the graph for y ≥ 1/3x + 2

a)

A

b)

B

c)

C

d)

D

95.

a)

A

b)

B

c)

C

d)

D

96.

Solve:

a)

A

b)

B

c)

C

d)

D

97.

-8<2(x+4) or -3x+4>x-4

a)

No solutions

b)

x<-8 or x<2

c)

x>-8 or x<2

d)

x<-8 and x<2

98.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

99.

What is the inverse operation needed to solve for p?
765 = p - 254

a)

subtraction

b)

addition

c)

multiplication

d)

division

100.

You and your friends ate more than 8 slices of pizza at the party.

a)

x > 8

b)

x < 8

c)

x ≤ 8

d)

x ≥ 8

101.

you must be at least 48 inches to ride the roller coaster.

a)

x > 48

b)

x < 48

c)

x ≤ 48

d)

x ≥ 48

102.

Edith must read for a minimum of 20 minutes every night.

a)

x > 20

b)

x < 20

c)

x ≥ 20

d)

x ≤ 20

103.

Solve for k.
2k - 9≤ -19

a)

k ≤ -5

b)

k ≤ 5

c)

k < -5

d)

k < 5

104.

When graphing b < 6 would you use an open or closed circle?

a)

Open

b)

closed

105.

Which inequality is shown on the graph?

a)

j > 5

b)

j ≥ -5

c)

j < -5

d)

j ≤ -5

106.

Solve:

a)

A

b)

B

c)

C

d)

D

107.

Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?

a)

(-3,-8)

b)

(-8,-3)

c)

(3,-8)

d)

(8,3)

108.

What is the solution to the system?

a)

(3, -1)

b)

(2, -6)

c)

No Solution

d)

(6, -2)

109.

Solve the following system by graphing. What is the solution?

a)

Infinite number of solutions

b)

(3, 3)

c)

(3, -3)

d)

(-3, 3)

110.

What is the solution?

a)

(6, 3)

b)

(3, 6)

c)

(-6, 3)

d)

No solution

111.

Solve using cross products:
5/6 = x/12

a)

x = 10

b)

x = 1

c)

x = 12

d)

x = 11

112.

Which setup matches?

The ratio of boys to girls is 4:5. At this rate, how many boys would you expect if there are 25 girls?

a)

4/5 = 25/x

b)

4/5 = x/25

c)

5/4 = x/25

113.

A 6-ounce package of fruit snacks contains 45 pieces. How many pieces would you expect in a 10-ounce package?

a)

75 Pieces

b)

27-ounces

c)

27 pieces

d)

75-ounces

114.

About 13 out of 20 homes have a personal computer. On a street with 60 homes, how many computers would you expect to have?

a)

39 Computers

b)

4.3 Homes

c)

39 Homes

d)

4.3 Computers

115.

Solve for m.

a)

-2

b)

2

c)

-9

d)

9

116.

Solve for k.

a)

-2.33

b)

14

c)

-14

d)

-5.25

117.

Solve for s.

a)

-32.40

b)

32.40

c)

-5.8

d)

5.8

118.

Cross Multiply
4/3 = (x+5)/6

a)

x=3

b)

x=4

c)

x=.3333

d)

x=5

119.

What high school did Mrs. Barr's children attend?

a)

Golden Valley

b)

Hart

c)

Canyon

d)

Saugus

120.

How many dogs does Mrs. Barr have at home?

a)

1

b)

2

c)

3

d)

4

121.

What day (not date) does Christmas fall on this year?

a)

Monday

b)

Tuesday

c)

Wednesday

d)

Thursday

122.

In the holiday song, "the Twelve Days of Christmas", how many total gifts does the singer give to his true love?

a)

12

b)

144

c)

254

d)

364

123.

There are 23 animals in the barnyard pen, consisting of ducks and pigs. There is a total 60 animal feet walking around in the pen. How many of each animal are in the pen?

a)

7 ducks, 16 pigs

b)

17 ducks, 6 pigs

c)

16 ducks, 7 pigs

d)

6 ducks, 17 pigs

e)

Not enough information to answer the question

124.

Will you put in enough studying time to score well on the final?

a)

Yes

b)

No

125.

What room number is this class?

a)

801

b)

803

c)

804

d)

805

Honors Algebra Fall Final 2018

Total questions: 125

Worksheet time: 5hrs 53mins

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