Free Printable Algebra 1 Practice Saturday 5-1-2021

1.

Solve for p
$A\ =\ \frac{1}{2}pa$

a)

$A-\frac{1}{2}a\ =\ p$

b)

$\frac{2A}{a}=p$

c)

$\frac{A}{2a}=p$

d)

$2A-a\ =\ p$

2.

Solve for d
$C\ =\ \pi d$

a)

$C\ -\ \pi=d$

b)

$C\ +\ \pi=d$

c)

$\pi C=d$

d)

$\frac{C}{\pi}=d$

3.

Solve for p
$SA\ =hp\ +\ 2B$

a)

$\frac{SA-2B}{h}=p$

b)

$\frac{SA}{h}-2B=p$

c)

$\frac{SA-h}{2B}=p$

d)

$SA-2B-h=p$

4.

Solve for h
$V\ =\ lwh$

a)

$V\ -l-w\ =\ h$

b)

$V-lw\ =\ h$

c)

$\frac{V}{lw}=\ h$

d)

$V-\frac{l}{w}=h$

5.

Solve for r:
$LA\ =\ 2\pi rh$

a)

$LA-2\pi h\ =\ r$

b)

$\frac{LA}{2\pi h}=\ r$

c)

$\frac{LA}{2}-\pi h\ =\ r$

d)

$\frac{2LA}{\pi h}=\ r$

6.

Solve for h:
$V\ =\ \frac{1}{3}\pi r^2h$

a)

$\frac{3V}{\pi r^2}=h$

b)

$\frac{1}{3}V\ -\pi r^2=h$

c)

$3V\ -\ \pi r^2=h$

d)

$\frac{1}{3}V\pi r^2=h$

7.

Solve for h:
$SA\ =\ 2\pi r^2+2\pi rh$

a)

$\frac{SA}{2\pi r^2+2\pi r}=h$

b)

$\ \frac{SA-2\pi r}{2\pi r^2}=h$

c)

$\frac{SA-2\pi r^2}{2\pi r}=h$

d)

$SA\ -\ \frac{2\pi r^2}{2\pi r}=\ h$

8.

Solve for c:

ax^2+bx+c=0

a)

$c\ =\ -ax^2-bx$

b)

$c\ =\ ax^2+bx$

c)

$c=\frac{ax^2}{bx}$

d)

$c=ax^2-bx$

9.

Solve for x:
$m\ =\frac{x+y}{2}$

a)

$\ 2m-y=x$

b)

$\frac{2m}{y}=x$

c)

$\frac{m-y}{2}=x$

d)

$2\left(m-y\right)=x$

10.

5 = a-3
Solve for a

a)

8 = a

b)

2 = a

c)

3 = a - 5

d)

5 - a = -3

11.

6 = -2x
Solve for x

a)

x = 4

b)

x = 8

c)

x = 3

d)

x = -3

12.

IR = V
(solve for R)

a)

R = IV

b)

R = I/V

c)

R = V/I

d)

R = V - I

13.

13 = 15 – 4x
Solve for x

a)

x = -1/2

b)

x = 1/2

c)

x = 7

d)

x = -7

14.

ax + c = R
(solve for x)

a)

ax = R + c

b)

ax = R - c

c)

x = a(R-c)

d)

x = (R-c) / a

15.

2h = w-3p
(solve for p)

a)

p = -(2h - w) / 3

b)

p = (2h - w) / 3

c)

p = -6hw

d)

p = -6h - 3w

16.

In the equation

x + 7 = 12

7 is being added to the variable, x.

How should you show your work to isolate the variable and solve the equation?

a)

Subtract 7 from both sides. The solution is x = 5.

b)

Add 7 to both sides.

The solution is x = 19.

c)

Multiply both sides by 7 The solution is x = 84.

17.

$16\ =\frac{k}{11}$

The variable, k, is being divided by 11. What step needs to be completed to isolate the variable k?

a)

Divide both sides by 11

b)

Multiply both sides by 11.

c)

Add 11 to both sides.

d)

Subtract 11 to both sides.

18.

Solve:

2x + 3y = 5

x + 3y = 7

a)

x = -2

y = 3

b)

x = -2

y = -3

c)

x = 2

y = 3

d)

x = 2

y = -3

19.

Solve:

3x - y = 11

x + y = 5

a)

x = 4

y = 1

b)

x = 4

y = -1

c)

x = -4

y = 1

d)

x = -4

y = -1

20.

Solve:

2x + 5y = 29

x + 5y = 22

a)

x = 7

y = 3

b)

x = -7

y = -3

c)

x = 7

y = -3

d)

x = -7

y = 3

21.

Solve:

3x + 5y = 4

4x - 5y = -18

a)

x = -2

y = 2

b)

x = -2

y = -2

c)

x = 2

y = -2

d)

x = 2

y = 2

22.

Solve:

2x + y = 16

4x - y = 2

a)

x = 3

y = 10

b)

x = -3

y = -10

c)

x = -3

y = 10

d)

x = 3

y = -10

23.

Solve:

4x - y = 17

7x - y = 32

a)

x = 5

y = 3

b)

x = -5

y = 3

c)

x = 5

y = -3

d)

x = -5

y = -3

24.

Solve for p in the following equation:

4p = 16

a)

p = 12

b)

p = 64

c)

p = 3

d)

p = 4

25.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

26.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

27.

Solve the equation.

a)

-90

b)

90

c)

-40

d)

-180

28.

The steps in solving 5b - 6 = 24 are:

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

29.

What is the first step to solve this equation:

- 3x -11 = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

30.

What operation would you perform first and then second when solving for m in the following equation?

10 + 7m = 17

a)

subtract 10, divide by 7

b)

divide by 7, subtract 10

c)

multiply by 7, add 10

d)

add 10, multiply by 7

31.

The steps in solving 5b - 6 = 24 are:

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

32.

Solve for b:
3(b - 4) = -3

a)

b = 3

b)

b = -3

c)

b = 5

d)

b = -5

33.

The graph of a quadratic function is called

a)

a line

b)

a hyperbola

c)

a parabola

d)

a cubic

34.

Standard form of a quadratic equation

a)

y=x²

b)

y=ax²+bx+c

c)

y=mx+b

d)

y=x

35.

3x² - 4 is a quadratic

a)

true

b)

false

36.

Which of the following is NOT a quadratic function

a)

f(x) = -3x²

b)

f(x) = -5x - x²

c)

y = 3x³- 4x + 5

d)

A = pi.r²

37.

What are the green dots called?

a)

axis of symmetry

b)

vertex

c)

parabola

d)

roots or x-intercepts

38.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

39.

Does this parabola have a maximum or minimum?

a)

Maximum

b)

Minimum

40.

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

41.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

42.

The formula x = -b/2a is used to find

a)

the roots

b)

the x-value of the vertex

c)

the y-intercept

d)

the axis of symmetry

43.

What is the vertex of the quadratic function:
y = x² - 6x + 11?

a)

(3,2)

b)

(-3,-2)

c)

(-3,2)

d)

(3,-2)

44.

When a parabola opens downward the vertex is

a)

a minimum

b)

a maximum

c)

a vertex

d)

a parabola

45.

Does the equation open or or down?
Y = -3x² +7x - 2

a)

up

b)

down

46.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

47.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

48.

The slopes of parallel lines are...

a)

the same

b)

opposite

c)

always different

49.

Slope is know as rise/

a)

run

b)

fall

c)

none

d)

rise

50.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

51.

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

52.

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

a)

1/2

b)

-1/2

c)

2

d)

-2

53.

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

a)

1/5

b)

-1/5

c)

5

d)

-5

54.

What is the slope represented in the table?

a)

slope: $\frac{1}{2}$

b)

slope: $2$

c)

slope: $-\frac{1}{2}$

d)

slope: $-2$

55.

How do you calculate slope using a graph?

a)

rise over run

b)

run over rise

c)

look at the y intercept

d)

look at the x intercept

56.

What does "m" stand for in the slope formula?

a)

y axis

b)

slope

c)

y coordinate

d)

x coordinate

57.

What is the slope-intercept form of the equation of a line?

a)

y=yx+b

b)

y=mx+b

c)

x=yx+b

d)

x=xy+b

58.

What does the b mean in y=mx+b?

a)

Slope

b)

Nothing

c)

x-intercept

d)

y-intercept

59.

In the equation y=mx+b, what does the m represent?

a)

slope

b)

y-intercept

c)

linear

d)

point-slope

60.

If m=3 and b=6, what is the correct slope intercept equation?

a)

y=3-6

b)

y=3x-6

c)

y=3x+6

d)

y=6x+3

61.

What is the slope of the line with the equation
$y\ =\ -\frac{3}{2}x\ +\ 4$

a)

$-\frac{3}{2}$

b)

$\frac{3}{2}$

c)

$4$

d)

$-4$

62.

What is the y-intercept of the line with the equation
$y\ =\ -2x\ +\ 4$

a)

$-2$

b)

$2$

c)

$4$

d)

$-4$

63.

Write a linear equation in slope intercept form of a line with a slope of 12 and y intercept of 10

a)

y=12x-10

b)

y=10x+12

c)

y=12x+10

d)

x=10x-12

64.

Write a linear equation in slope intercept form of a line with a slope of -3 and y intercept of 0

a)

y=-3

b)

y=3x

c)

y=-3x

d)

x=-3

65.

Graph the line with the equation
$y\ =\ -\frac{2}{3}x\ +\ 4$

a)

b)

c)

d)

66.

Graph the line with the equation
$y\ =\ -\frac{1}{3}x\ -\ 4$

a)

b)

c)

d)

67.

Write the equation of the graph in slope-intercept form

a)

$y=-2x-4$

b)

$y=2x\ -\ 4$

c)

$y=\frac{1}{2}x-4$

d)

$y=-\frac{1}{2}x-4$

68.

What type of slope?

a)

negative

b)

steep

c)

undefined

d)

zero slope

69.

What type of slope?

a)

undefined

b)

positive slope

c)

negative slope

d)

zero slope

70.

What is the slope in the picture?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

71.

What is the slope in the picture?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

72.

What type of slope?

a)

zero slope

b)

undefined

c)

negative

d)

positive

73.

Find the rate of change

a)

3

b)

-3

c)

-1/3

d)

1/3

74.

a)

0/3

b)

-6/3

c)

-6/7

d)

6/3

75.

Find the slope given the points (3,18) and (0,18).

a)

undefined

b)

0

c)

22

d)

6

76.

What is the slope formula?

a)

b)

c)

d)

77.

The line pictured has a(n) ______ slope.

a)

Undefined

b)

Zero

c)

Positive

d)

Negative

78.

What is the slope of the line?

a)

7/-3

b)

7/3

c)

3/7

d)

-3/7

79.

What is the slope of the line that passes through the points (4, 9) and (1, 6)?

a)

1

b)

-3

c)

3

d)

-1

80.

What is Mrs. Gordon's rate from 0 to 2 seconds?

a)

2.5 feet per second

b)

.4 feet per second

c)

5 feet per second

d)

.2 feet per second

81.

Calculate the average rate of change from 20 to 40 minutes.

a)

-2 minutes per gallon

b)

-20 minutes per gallon

c)

-2 gallons per minute

d)

-20 gallons per minute

82.

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

83.

At 0 seconds, Mrs. Taylor was 10 feet off the ground. At 5 seconds, she was 20 feet off the ground. What is her rate in feet per second?

a)

10 feet per second

b)

5 feet per second

c)

2 feet per second

d)

6 feet per second

84.

Average Rate of Change is also known as...

a)

y-intercept

b)

x-intercept

c)

linear

d)

slope

85.

Find the slope from the table:

a)

-2/5

b)

5/-2

c)

5/2

d)

2/5

86.

Find the rate of change.

a)

-2 minutes per gallon

b)

-20 minutes per gallon

c)

-2 gallons per minute

d)

-20 gallons per minute

87.

Is the function Linear or Nonlinear?

a)

Linear

b)

Nonlinear

88.

Which graph is linear?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

89.

What is the y-intercept in the following equation: y=-4x-5

a)

-4

b)

-4x

c)

5

d)

-5

90.

How would you write the equation with a slope of 2/3 and a y-intercept of -3

a)

y=3/2x+3

b)

y=2/3-3

c)

y=2/3x-3

d)

y=2/3x+3

91.

Determine the slope and y-intercept from the following equation: y = 3/2x + 3

a)

slope: 5 y-intercept: (0,3)

b)

slope: 3/2 y-intercept: (0,3)

c)

slope: 4 y-intercept: (0,3/2)

d)

slope: 1/5 y-intercept: (0,5)

92.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

93.

a)

Function

b)

Not a Function

94.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

95.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

96.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

97.

Which of these is NOT the same

a)

Range

b)

Input

c)

Dependent Value

d)

Y-Value

98.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

99.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

100.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

101.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

102.

Is this table a function or not a function?

a)

Function

b)

Not a Function

103.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

104.

Which set of values is a function?

a)

(9,5) (10,5) (9,-5) (10,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (5, -7) (1, 4)

105.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

106.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {1, -3, -4,}
R: {0, 1, 2, -4}

b)

D:{0, 1, 2, -4}
R:{1, -3, -4}

c)

D:{0, 1, 2, 3, 4}
R:{1, -3, -4}

107.

Which ordered pair could you add to the following list of points to create a function? (3, 5) (4, 9) (2, 5)

a)

(3, 7)

b)

(4, 1)

c)

(1, 9)

d)

(2, 6)

108.

Does the table represent a function?

a)

Yes, there is a repeated x-value.

b)

No, there aren't any repeated y-values.

c)

Yes, there are repeated y-values.

d)

No, there is a repeated x-value.

109.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

110.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

111.

Evaluate f(2):

f(x)=3x+1

a)

7

b)

9

c)

11

d)

13

112.

If g(x)=2x+5, what is the value of g(4)?

(a)

113.

a)

8

b)

-24

c)

24

d)

-22

114.

a)

27

b)

21

c)

24

d)

72

115.

a)

24

b)

-6

c)

32

d)

36

116.

a)

30

b)

62

c)

14

d)

32

117.

a)

-21

b)

33

c)

15

d)

-3

118.

a)

21

b)

-21

c)

-3

d)

3

119.

a)

9

b)

13

c)

21

d)

-9

Algebra 1 Practice Saturday 5-1-2021

Total questions: 119

Worksheet time: 6hrs 57mins

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