Free Printable Algebra Ashley

1.

Given the function f(x) = $3x-x^2$ , find f(-2)

a)

10

b)

-10

c)

2

d)

-2

2.

The number of bacteria present in a colony is 180 at noon, and it increases at a rate of 22% per hour. How many bacteria will be present 4 hours later? Use the exponential $y=ab^x$

a)

399

b)

450

c)

553

d)

220

3.

Solve the inequality. $-2\left(x-3\right)>36$

a)

$x=15$

b)

$x>-15$

c)

$x>15$

d)

$x<-15$

e)

No solution

4.

Solve the system of equations:

3x − y = 17

−x + y = −7

a)

4,-2

b)

-7,6

c)

2,5

d)

5,-2

e)

No solution

5.

Consider the sequence 4, 1, -2, -5. What is the 65th term of this sequence?

a)

-188

b)

-110

c)

-55

d)

-204

6.

Simplify: (2w⁻²)⁴

a)

2w⁶

b)

2/w^-8

c)

16/w⁸

d)

2w²

7.

$64^{\frac{1}{3}}$ Simplify

a)

262144

b)

8

c)

4

d)

105

8.

What is the equation of the line that passes through the points: (2, 9) and (22,-1)

a)

y= -8x

b)

y= -2/3x + 3

c)

y= -1/2x +10

d)

y= -5x + 12

e)

No solution

9.

What is the inequality of the line shown?

a)

$y\le-3x-1$

b)

$y<-\frac{1}{3}x-1$

c)

$y<-3x-1$

d)

$y>-\frac{1}{3}x\ -1$

10.

Rewrite the following as a sum:

(x+3)²

a)

x²+ 9

b)

x²-6x -9

c)

x²+ 6

d)

x²+ 6x + 9

11.

Find the vertex of the following quadratic function:
$y=x^2+6x+5$

a)

(-5, 2)

b)

(-3,-4)

c)

(-1,-5)

d)

(3, 1/2)

12.

Find the zeros of the function using the quadratic formula:
$y=4x^2+14x+6$

a)

-3, -1/2

b)

3, 2/3

c)

-4, 2

d)

-5, -2/3

13.

Which point is a solution to the system of inequalities?

y ≤ − x + 4 ,

y > x – 2

a)

0,0

b)

6,2

c)

1,8

d)

-5,-10

14.

Given this function. If the output was 21 what was the input?

a)

-4

b)

8

c)

12

d)

-6

15.

$\frac{14x^3y^2}{2x^4y}$ Simplify:

a)

$\frac{x^2y^2}{14y}$

b)

$14x^7y^9$

c)

$\frac{7y}{x}$

d)

Cannot be simplified

16.

Find the length of x.

a)

9.22

b)

8.35

c)

10.24

d)

8.01

17.

Find the exponential function in the form y=ab^x where it has a y intercept of (0,2) and a multiplier of .8.

a)

y = 3x(.8)^x

b)

y = .8(2)^x

c)

y = 2(.8)^x

d)

y=1.08(2)^x

18.

Shirley starts with $85 in the bank and saves $15 every 2 months. What is the equation for the balance of the account?

a)

$y=85x+15$

b)

$y=15x+7.5$

c)

$y=15x-85$

d)

$y=7.5x+85$

19.

What is the equation for the line?

a)

y=-2x-2

b)

y=x+2

c)

y=3x-1

d)

y=2x+3

20.

Write the following quadratic in vertex form by completing the square: $x^2+12x-4$

a)

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

b)

$\left(x-6\right)^2+4$

c)

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

d)

$\left(x+6\right)^2-40$

21.

√8−√2

a)

√2

b)

2

c)

√4

d)

2√2

22.

7+7×7−7∕ 7×(7+7)

a)

42

b)

7

c)

14

d)

none of these

23.

(99)²−1

a)

9800

b)

10000

c)

(98)²

d)

9900

24.

3⁷+3⁷+3⁷=⋅⋅⋅⋅⋅⋅⋅

a)

9⁷

b)

3²¹

c)

3⁸

d)

27⁷

25.

152457295003898⁰

a)

ZERO

b)

1

c)

867548275

d)

NONE OF THESE

26.

π=......

a)

3.141592654

b)

3.141534829

c)

3.141742314

d)

3.146456897

27.

IF(x-y)=3 & (x²-y²)=15,THEN(x+y)=......

a)

10

b)

5

c)

45

d)

20

28.

_{What is the y-intercept of the line?}

a)

y = 1/2

b)

y = 1

c)

y = -1/2

d)

y = -1

29.

Give the x-intercept
3x + 8y = 24

a)

(8, 0)

b)

(0, 8)

c)

(3, 0)

d)

(0, 3)

30.

Give the y-interecept
3x + y = 5

a)

-3

b)

(0,5)

c)

-5

d)

(0, -3)

31.

What is the x-intercept?

a)

12

b)

-3

c)

8

d)

0

32.

What is the slope?

a)

1/4

b)

4

c)

-3

d)

-2

33.

What are the x- and y -intercepts on this graph?

a)

(0,5), (0,5)

b)

(5,0), (5,0)

c)

(5,0), (0,5)

d)

(0,0), (5,0)

34.

What is the range of the graph?

a)

1 ≤ x ≤ 5

b)

1 < x < 5

c)

1 ≤ y ≤ 5

d)

1 < y < 5

35.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

36.

What is the domain of the graph?

a)

-7 ≤ x < 5

b)

-3 ≤ x < 1

c)

-3 ≤ y < 1

d)

-7 ≤ y < 5

37.

What is the range of the graph?

a)

-7 ≤ x < 5

b)

-3 ≤ x < 1

c)

-3 ≤ y < 1

d)

-7 ≤ y < 5

38.

What is another way to say "where a function crosses the x-axis"?

a)

x-intercept

b)

zero

c)

root

d)

all of these.

39.

True or false:
The solution, root, x-intercept, and zero of a problem are all the same thing.

a)

True

b)

False, because the solution and root are the same but the x-intercept and zero are different

c)

False, because the x-intercept and root are the same but the zero and solution are different

d)

False, they are all different

40.

Find the x and y intercepts
4x - 5y = 40

a)

x intercept is 10
y intercept is 8

b)

x intercept is 10
y intercept is 20

c)

x intercept is 8
y intercept is 10

d)

x intercept is 10
y intercept is -8

41.

Give the slope and y-intercept
6x - 3y = -9

a)

slope is 6
y-intercept is 9

b)

m=2
b=3

c)

slope is 2
y-intercept is -3

d)

m = 3
b = 2

42.

Which of these represents slope-intercept form?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

43.

Which of these represents point-slope form?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

44.

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?

a)

(-4, 3)

b)

(3, -4)

c)

(-3, -4)

d)

(-4, -3)

45.

Write an equation
m = 5/4 through (-4, -3)

a)

5x + 4y = -8

b)

5x - 4y = 8

c)

5x - 4y = -8

d)

5x - y = -17

46.

What is the equation of a line with an undefined slope that passes through the point
(9, 13)?

a)

x = 13

b)

y = 13

c)

x = 9

d)

y = 9

47.

What is the equation of a line with a slope of zero that passes through the point
(-7, 9)?

a)

y = -7

b)

y = 9

c)

x = -7

d)

x = 9

48.

What is the slope of a line containing points (2, -1) and (3, 5)

a)

1/6

b)

6

c)

-1/6

d)

-6

49.

(5a - 4)(3a - 7)

a)

15a² - 23a - 28

b)

15a² - 47a + 28

c)

15a² + 47a - 28

d)

15a² - 23a + 28

50.

(3x² - 5x + 7) - (2x² + 9x - 1)

a)

x² - 4x + 6

b)

5x² - 4x + 8

c)

x² - 14x + 8

d)

x² + 4x + 6

51.

3b³(4b² + 5b - 3c)

a)

12b⁵ + 15b³ - 9b³c

b)

12b⁶ + 15b⁴ - 9b³c

c)

12b⁵ + 15b⁴ - 9b³c

d)

12b⁵ + 15b⁴ + 9b³c

52.

(4x⁹)(5x^-5)

a)

20x^-45

b)

9x⁴

c)

9x^-4

d)

20x⁴

53.

What are the intercepts for 3x - 2y = 6

a)

(0, 3) and (2, 0)

b)

(0, -2) and (-3, 0)

c)

(0, -3) and (2, 0)

d)

(0, 2) and (3, 0)

54.

What correlation is there between time spent driving and gas left in your tank?

a)

No Correlation

b)

Negative Correlation

c)

Positive Correlation

55.

Give an equation of a line that is parallel to the line y = -3x

a)

y = 2/3x - 2

b)

y = 3x + 2

c)

y = -3x - 1

d)

y = -2/3x + 3

56.

a)

0 < x < 3

b)

0 < x < 3

c)

x > 0 or x > 3

d)

x < 0 or x > 3

57.

It takes you 30 minutes to ride 8 miles on your bike, about how long will it take you to ride 10 miles?

a)

34 minutes

b)

38 minutes

c)

32 minutes

d)

40 minutes

58.

35 is 29% of what?

a)

10.2

b)

1015

c)

120.7

d)

1.2

59.

What is 16% of 34?

a)

212.5

b)

5.4

c)

2.1

d)

4.5

60.

8(x - 1) = 4(x + 4) - 2x

a)

2

b)

6

c)

-2

d)

4

61.

-5x - 10 < -30

a)

x < 4

b)

x > 4

c)

x < 8

d)

x < -4

62.

4a + 8 = -20

a)

-6

b)

-7

c)

3

d)

-3

63.

-3(x - 3) + 6(x + 1)

a)

3x + 6

b)

3x + 4

c)

-3x + 16

d)

3x + 15

64.

6x - 2 - 7x + 4 - x

a)

-2x + 2

b)

-2x - 2

c)

2x - 6

d)

x + 2

65.

3 + 2³ - 8

a)

8

b)

1

c)

3

d)

-3

66.

What is the slope of a vertical line?

a)

Zero

b)

Undefined

c)

1

d)

-1

67.

What is a function?

a)

When the domain (x) has exactly one range (y) assigned to it

b)

When the domain (x) repeats with a different range (y)

c)

When the domain (x) and range (y) are the same

d)

When there is no range (y) for each domain (x)

68.

Find the slope of the line.

a)

1/2

b)

-1/2

c)

2

d)

-2

69.

Find the slope from the table:

a)

-2/5

b)

5/-2

c)

5/2

d)

2/5

70.

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

a)

1/2

b)

-1/2

c)

2

d)

-2

71.

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

a)

1/5

b)

-1/5

c)

5

d)

-5

72.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

73.

Find the slope of the line.

a)

-5/4

b)

5/4

c)

-4/5

d)

4/5

74.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

75.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

76.

What is the slope?

a)

$2/1 mile drive

b)

$1/2 miles driven

c)

2 miles driven/$1

d)

1 mile driven/$2

77.

A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change?

a)

200

b)

150

c)

300

d)

75

78.

Dev keeps a record in graph form of how far his car travels and the number of gallons of gasoline it uses.
What is the slope of the graph?

a)

64

b)

128

c)

32

d)

16

79.

Which company shows a greater rate of change?

a)

Water's Edge Rafts

b)

Ryan's Rafts

80.

Find the slope when given the following points.
(2, 5) (-3, 5)

a)

-2

b)

0

c)

Undefined

d)

4/3

81.

What's the slope of the line that passes through (2, -1) and (2, -5)

a)

1/2

b)

Zero

c)

3

d)

Undefined

82.

a)

b)

c)

d)

83.

CHALLENGE: Find f(-2)

a)

-3

b)

6

c)

8

d)

-6

84.

a)

A

b)

B

c)

C

d)

D

85.

a)

A

b)

B

c)

C

d)

D

86.

a)

A

b)

B

c)

C

d)

D

87.

a)

A

b)

B

c)

C

d)

D

88.

a)

A

b)

B

c)

C

d)

D

89.

a)

A

b)

B

c)

C

d)

D

90.

a)

A

b)

B

c)

C

d)

D

91.

a)

A

b)

B

c)

C

d)

D

92.

GCF of 28 and 40

a)

2

b)

4

c)

7

d)

8

93.

Factorise 3x²+12x

a)

3x(x+4)

b)

3(x²+4)

94.

Factorise: 6m² + 16m

a)

2(3m² + 8m)

b)

2m(3m + 8)

c)

2m(3m - 8m)

d)

not factorable

95.

Factorise 2x+8

a)

2(x+4)

b)

2(x+8)

96.

The solutions of the quadratic equation
x²-5x+6=0 are

a)

x=1 or x=-6

b)

x=3 or x=2

c)

x=-3 or x= 2

d)

x=-1 or x=6

97.

Solve the equation by factoring.

a)

x = {3,8}

b)

x = {-3,8}

c)

x = {3,-8}

d)

x = {-3,-8}

98.

Solve the equation by factoring.

a)

x = {1}

b)

x = {-1}

c)

x = { }

d)

no solution

99.

Solve the equation by factoring.

a)

x = {-5,-3}

b)

x = {5,-3}

c)

x = {-5,3}

d)

x = {5,3}

100.

Solve the equation by factoring.

a)

x = {-5,-3}

b)

x = {5,-3}

c)

x = {-5,3}

d)

x = {5,3}

101.

Solve
x² + 13x + 12 = 0

a)

x = -12, -1

b)

x = 12, 1

c)

x = 13, 1

d)

x = -13, -1

102.

Factor x²-6x-40

a)

(x-10)(x+4)

b)

(x+10)(x-4)

c)

(x-8)(x+5)

d)

(x+8)(x-5)

103.

Solve
x² + 13x + 12 = 0

a)

x = -12, -1

b)

x = 12, 1

c)

x = 13, 1

d)

x = -13, -1

104.

Solve by completing the square.
x² + 4x= 12

a)

x = 2 and -2

b)

x = -6 and 2

c)

x = 6 and -2

d)

x = 1 and -1

105.

What should you do first in solving this equation?
x² + 6x - 13 = 3

a)

Get factored form

b)

Write down: a=1, b=6, c=-13

c)

Make it equal 0 by subtracting 3 on each side

d)

Type it all in a calculator.

106.

Solve the equation:
5x² - 35x + 60 = 0

a)

x = 3, -4

b)

x = -3, 4

c)

x = 3, 4

d)

x = -3, -4

107.

Solve the equation:
4x²+2x - 6 = 0

a)

x = 1 & -1.5

b)

x = -1 & 1.5

c)

x = (-2 ±√92)/8

d)

x = (-2 ± √100)/8

108.

Factor x²-11x+24

a)

(x-3)(x-8)

b)

(x-2)(x-12)

c)

(x+3)(x+8)

d)

(x+2)(x+12)

109.

Factorise 2x+8

a)

2(x+4)

b)

2(x+8)

110.

Factorise x²+4x

a)

x(x+4)

b)

4x(x+1)

111.

x² - 16

a)

(x + 4) (x - 4)

b)

(x + 8) (x - 2)

c)

(x + 4)²

d)

x + 4(x - 4)

112.

x² - 9

a)

(x + 3)²

b)

(x + 3) (x - 3)

c)

(x - 3)²

d)

x + 3(x - 3)

113.

25x² - 36y²

a)

5x + 6y(5x - 6y)

b)

(5x + 6y) (5x - 6y)

c)

(5x + 6y)²

d)

(5x - 6y)²

114.

64x² - 81y²

a)

(8x + 7y) (8x - 7y)

b)

(8x + 9y) (8x - 9y)

c)

(6x + 7y) (6x - 7y)

d)

(6x + 9y) (6x - 9y)

115.

Factor $m^2\ -\ 36$

a)

$(m+18)(m-18)$

b)

$(m+6)^2$

c)

$\left(m\ -\ 6\right)^2$

d)

$(m\ +\ 6)\left(m\ -\ 6\right)$

116.

Factor the Polynomial

12x³- 9x² + 4x - 3

a)

(3x² + 1) (4x - 3)

b)

(3x² - 1) (4x + 3)

c)

(4x² + 1) (3x - 3)

d)

(4x² - 1) (3x + 3)

117.

Factor by grouping:

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)

118.

Factor x²-11x+24

a)

(x-3)(x-8)

b)

(x-2)(x-12)

c)

(x+3)(x+8)

d)

(x+2)(x+12)

119.

Factor: 49x² - 100

a)

(49x + 100)(x - 1)

b)

(7x - 10)(7x + 10)

c)

(49x - 10)(x + 10)

d)

(7x -10)(7x - 10)

120.

Factor: 3x²- 6x - 24

a)

(3x - 8)(x + 3)

b)

(3x + 4)(x - 6)

c)

3(x - 2)(x + 4)

d)

3(x + 2)(x - 4)

Algebra Ashley

Total questions: 120

Worksheet time: 2hrs 0mins

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