Free Printable College Prep/ Algebra 2

1.

Perform the matrix multiplication, if possible.

a)

b)

c)

d)

Cannot be multiplied, dimensions not compatible.

2.

Perform the matrix multiplication, if possible.

a)

b)

c)

d)

Cannot be multiplied, dimensions not compatible.

3.

Perform the matrix multiplication, if possible.

a)

b)

c)

d)

Cannot be multiplied, dimensions not compatible.

4.

Perform the matrix multiplication, if possible.

a)

b)

c)

d)

Cannot be multiplied, dimensions not compatible.

5.

Perform the matrix multiplication, if possible.

a)

b)

c)

d)

Cannot be multiplied, dimensions not compatible.

6.

Perform the matrix multiplication, if possible.

a)

b)

c)

d)

Cannot be multiplied, dimensions not compatible.

7.

What is a Matrix?

a)

An equation of over 5 numbers or symbols

b)

A set of numbers in rows and columns

c)

A method of finding the n^th value of a series

d)

A complicated number system

8.

What is the name of each entry of a matrix?

a)

Row

b)

Element

c)

Dimension

d)

Numbers

9.

How many columns are in a 5 x 4 matrix?

a)

5

b)

4

c)

20

d)

9

10.

How many rows are in a 7 x 3 matrix?

a)

7

b)

3

c)

21

d)

10

11.

Subtract

a)

-5
-8
3
10

b)

-9
8
3
2

c)

5
-8
3
10

d)

-5
8
3
2

12.

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

13.

What are the dimensions of this matrix?

a)

2 x 3

b)

3 x 2

c)

6 x 1

d)

1 x 6

14.

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

15.

Find A+B

a)

8 10
8 1

b)

12 25
7 1

c)

10 30
0 1

d)

can't add two together because the rows dont match columns

16.

What are the dimensions of matrix A?

a)

3x4

b)

4x3

c)

12

d)

4

17.

What comes first in the order?

a)

Row

b)

Column

18.

What happens to the inequality symbol when you multiply or divide by a negative?

a)

The symbol goes away

b)

The symbol stays the same

c)

The symbol is flipped

d)

Nothing Happens

19.

An ordered pair that makes an inequality true

a)

Equation

b)

Solution

c)

Answer

d)

Point

20.

A line that separate the coordinate plane into two regions

a)

Axis

b)

Boundary Line

c)

Symbol

d)

Divider

21.

Two regions created on a graph when separated by a boundary line

a)

Quadrant

b)

Half - Plane

c)

Sides

d)

Solution

22.

Inequality symbols that create a closed half - plane and all points on the line are included in the solution.

a)

b)

c)

d)

23.

Inequality symbols that create an open half - plane and all points on the line are not included in the solution.

a)

b)

c)

d)

24.

Which color is the solution region to this system of inequaliteis?

a)

White

b)

Blue

c)

Purple

d)

Red

25.

Which coordinate point is a solution to the system of inequalities?

a)

(o,o)

b)

(2,2)

c)

(1,-3)

d)

(4,-1)

26.

Describe the transformation of the equation below from the absolute value parent function.

$y=\left|x-4\right|$

a)

Left 4

b)

Right 4

c)

Up 4

d)

Down 4

27.

Choose the equation that best matches the graphed function.

a)

$f(x)=|x|+2$

b)

$f(x)=|x|-2$

c)

$f(x)=-|x|$

d)

$f(x)=-|x|+2$

28.

What is the vertex of the following function? $y=|x-3|+1$

a)

$(2,3)$

b)

$(-3,1)$

c)

$(2,-3)$

d)

$(3,1)$

29.

Describe the transformation of the equation below from the absolute value parent function.

$y=|x|+10$

a)

Shifted left 10

b)

Shifted right 10

c)

Shifted up 10

d)

Shifted down 10

30.

What are the x-intercept of the function

$f\left(x\right)=-2\left|x+4\right|+8$

a)

{-8,0}

b)

{0}

c)

{-4,8}

d)

None

31.

What is the y-intercept of the function

$f\left(x\right)=\left|x+3\right|-7$

a)

-4

b)

0

c)

3

d)

7

32.

What is the domain of the function

$g\left(x\right)=\left|x-2\right|+3$

a)

All Real Numbers

b)

$x\ge-2$

c)

$x<2$

d)

$\left[0,\infty\right)$

33.

What is the transformation of $y=-\left|x\right|$

a)

Reflection

b)

Shifts Up

c)

Shifts Left

d)

Rotates 90 degrees

34.

Change from standard form to scientific notation: 12 000 000

a)

12.0 x 10⁷

b)

0.12 x 10⁷

c)

1.2 x 10⁶

d)

1.2 x 10⁷

35.

How many numbers can be in front of the decimal point, if the number is in correct scientific notation?

a)

One

b)

Two

c)

Any amount

36.

Light travels at a rate of 186,000 miles per second. Write this number in scientific notation.

a)

1.86 x 10⁵

b)

1.86 x 10⁴

c)

18.6 x 10⁴

d)

186 x 10³

37.

What is 7.0 x 10^-5in standard form?

a)

0.0007

b)

0.00007

c)

0.000007

d)

0.0000007

38.

Factor:
x²+ 7x - 30

a)

(x + 10)(x - 7)

b)

(x - 10)(x + 3)

c)

(x + 10)(x + 3)

d)

(x + 10)(x - 3)

39.

Factor
n² + 5n - 6

a)

(n - 2)(n - 3)

b)

(n - 1)(n + 6)

c)

(n + 1)(n - 6)

d)

(n + 2)(n - 3)

40.

What is a method of checking your work when factoring?

a)

FOIL

b)

asking the teacher every time

c)

assume you're correct

d)

division

41.

Factor:
2m² + 3m - 9

a)

2(m + 3)(m - 3)

b)

(2m - 3)²

c)

(m + 3)(2m - 3)

d)

(2m + 3)(m - 3)

42.

Factor
3x² + 17x + 10

a)

(3x-2)(x-5)

b)

(3x+2)(x+5)

c)

(3x-5)(x-2)

d)

(3x+5)(x+2)

43.

Factor completely:
3x² + 18x +15
Hint: Factor GCF first.

a)

3(x² + 6x + 5)

b)

(x + 5)(x + 1)

c)

3(x + 5)(x + 1)

d)

Prime

44.

Simply.

-2\left(x^2+5x-4\right)

a)

$-2x^2-10x+8$

b)

$2x^3+10x^2-8x$

c)

$x^2+3x$

d)

$6x^2-8x$

45.

Simply.

2x\left(x^2+5x-4\right)

a)

$-2x^2-10x+8$

b)

$2x^3+10x^2-8x$

c)

$x^2+3x$

d)

$6x^2-8x$

46.

Simply.

x\left(x+3\right)

a)

$-2x^2-10x+8$

b)

$2x^3+10x^2-8x$

c)

$x^2+3x$

d)

$6x^2-8x$

47.

Simply.

2x\left(3x-4\right)

a)

$-2x^2-10x+8$

b)

$2x^3+10x^2-8x$

c)

$x^2+3x$

d)

$6x^2-8x$

48.

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

a)

$x^3+3x^2$

b)

$x^3+3x^2+3x$

c)

$8x^3-12x^2$

d)

$20x^3-4x^2$

49.

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

a)

$x^3+3x^2$

b)

$x^3+3x^2+3x$

c)

$8x^3-12x^2$

d)

$20x^3-4x^2$

50.

What is the proper way to write the answer for the following problem?

a)

2x³-x²-25x+12

b)

2x⁴-x³-25x²-12x+0

c)

2x³-x²-25x-12

d)

2x⁴-x³-25x²-12x-0

51.

a)

-1/3

b)

1/3

c)

-1

d)

3

52.

a)

-4

b)

-1/2

c)

-2

d)

2

53.

a)

-1/7

b)

-7

c)

6

d)

1/7

54.

a)

-15

b)

5/3

c)

0

d)

15

55.

a)

1/5

b)

-1/3

c)

-3/1

d)

-1/3

56.

What inequality does the number line graph represent

a)

x ≤ -4

b)

x ≥ -4

c)

x < -4

d)

-4 < x

57.

What inequality does the number line graph represent?

a)

x ≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ -3

58.

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

a)

Open

b)

closed

59.

What type of circle will be used?
5 ≥ x

a)

Open

b)

Closed

60.

What inequality does the number line graph represent?

a)

x ≥ 3

b)

x > 3

c)

x < 3

d)

x ≤ 3

61.

What inequality does the number line graph represent?

a)

-5 ≥ x

b)

x < −5

c)

x > -5

d)

x ≥ −5

62.

Which equation matches the table?

a)

y = 3x + 9

b)

y = x + 9

c)

y = x + 3

d)

y = 12x - 3

63.

Which equation matches the table?

a)

y = x + 5

b)

y = 5x

c)

y = x - 5

d)

x = y - 5

64.

Which equation matches the table?

a)

y = 1.2x

b)

y = 0.2x +1

c)

y = x + 1.2

d)

y = x + 0.2

65.

Which equation matches the table?

a)

y = 10x + 5

b)

y = 5x + 10

c)

y = 5x + 20

d)

y = x + 10

66.

What is coordinate X?

a)

(5,2)

b)

(2,3)

c)

(4,4)

d)

(6,6)

67.

What is the equation for the table?

a)

y =1/4x -3

b)

y =4x - 3

c)

y = -3x -3

d)

y =-2x -3

68.

What is the equation for this table?

a)

y = -2x + 5

b)

y = 2x + 5

c)

y = 5x - 2

d)

y = 5x + 5

69.

What is the equation for this table?

a)

y = -2x + 5

b)

y = 2x + 5

c)

y = 5x - 2

d)

y = 5x + 5

70.

Bob has $150 in his savings account and saves $40 per month.

a)

y=150 + 40

b)

y=40x + 150

c)

y=150x + 40

71.

Which equation best represents the relationship between x and y in the table shown?

a)

y= 5x+5

b)

y=1/5x+5

c)

y=15x+5

d)

y=10x+5

72.

Find the initital value

a)

20

b)

0

c)

17

d)

1

73.

What is the initial value?

a)

3

b)

0

c)

2

d)

8

74.

Find the rate of change from the graph

a)

0

b)

undefined

c)

5

d)

-5

75.

Elijah earn $200 for 8 hours of work. What is the unit rate (in dollars per hour)?

a)

$50 per hour

b)

$12 per hour

c)

$192 per hour

d)

$25 per hour

76.

What is the Domain of this linear function?

a)

-3 < x ≤ 5

b)

x = -1

c)

5 < x ≤ -3

d)

-2 < x ≤ 6

77.

What is the domain of the graph?

a)

1≤ x ≤ 4

b)

1 < x < 4

c)

1≤ y ≤ 4

d)

1 < y < 4

78.

What is the domain of the graph?

a)

-7 ≤ x < 5

b)

-3 ≤ x < 1

c)

-3 ≤ y < 1

d)

-7 ≤ y < 5

79.

What is the DOMAIN of this graph?

a)

-4 ≤ x ≤ 3

b)

-1 ≤ x ≤ 4

c)

4 < x < 3

d)

-1 < x < 4

80.

Standard form of a quadratic equation

a)

y=x²

b)

y=ax²+bx+c

c)

y=mx+b

d)

y=x

81.

What is the green dashed line called?

a)

roots or x-intercepts

b)

parabola

c)

axis of symmetry

d)

y intercept

82.

Which of the following are all the different ways to name the solutions to a quadratic equation?

(Choose all that apply)

a)

Vertex

b)

Root

c)

Zero

d)

Quartic

e)

x - intercept

83.

Does this graph have a maximum or a minimum?

a)

maximum

b)

minimum

c)

I am not sure.

d)

neither

84.

Does this parabola have a minimum or maximum and what is its value?

a)

minimum: 2

b)

maximum: 2

c)

minimum: 5

d)

maximum: 5

85.

Determine the domain and range of the function

a)

Domain: All real numbers

Range: All real numbers

b)

Domain: x ≥ -4

Range: All real numbers

c)

Domain: All real numbers

Range: y ≥ -4

d)

Domain: -1 ≤ x ≤ 5

Range: y ≥ -4

86.

Identify the 'a' value of the quadratic equation:

y = 16x² - 8x - 24

a)

16

b)

8

c)

-8

87.

Identify the 'b' value of quadratic equation written in standard form?

y = 16x² -8x - 24

a)

16

b)

-8

c)

8

88.

Use the graph to determine the X-intercepts:

a)

(-1,0) and (-3,0)

b)

(1,0) and (3,0)

c)

(0,1) and (0,3)

d)

(0,-1) and (0,-3)

89.

What is the equation for the axis of symmetry?

a)

x = 2

b)

x = 6

c)

x = 3

d)

x = 0

90.

Find the slope of the line that passes through:
(-4, 7) and (-6, -4)

a)

2/11

b)

13/2

c)

3/10

d)

11/2

91.

Find the slope of the line that passes through:
(5, -10) and (5, -4)

a)

undefined

b)

0

c)

- 14/10

d)

10/14

92.

Find the slope of the line that passes through:
(-3, -4) and (7, 6)

a)

0

b)

Undefined

c)

-1

d)

1

93.

Find the slope of the line that passes through:
(6,7) and (4,2)

a)

2/5

b)

-5/2

c)

5/2

d)

-1/2

94.

Find the slope of the line that passes through:
(2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

95.

Find the slope of the line that passes through:
(10, 1) and (5, 2)

a)

1/5

b)

-1/5

c)

5

d)

-5

96.

Find the slope of the line that passes through:
(-2, 8) and (0, 8)

a)

0

b)

-2

c)

2

d)

1/2

97.

Find the slope of the line in the diagram.

a)

-2

b)

3

c)

-1/2

d)

-1/3

98.

What is the slope of the line?

a)

7/4

b)

3/2

c)

7

d)

-4/7

99.

Find the slope of the line in the diagram.

a)

4

b)

1/4

c)

0

d)

undefined

100.

Find the slope between the points on the line.

a)

-9/2

b)

2/9

c)

1/3

d)

-3

101.

What is the slope shown in the diagram?

a)

Cannot be found

b)

1/2

c)

-2

d)

2

102.

Find the slope between the two points.

a)

0

b)

5

c)

-5

d)

Undefined

103.

Find the rate of change in the graph.

a)

2/7

b)

1/3

c)

7/3

d)

3

104.

Find the rate of change.

a)

-1/2

b)

-1/3

c)

-3

d)

-2

College Prep/ Algebra 2

Total questions: 104

Worksheet time: 6hrs 32mins

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