Free Printable Algebra I Semester 1 Final Review

1.

Solve the proportion: $\frac{3}{4} = \frac{x}{8}$ . What is the value of $x$ ?

a)

4

b)

6

c)

8

d)

12

2.

Solve the proportion for $x$ using the proportion $\frac{5}{x} = \frac{15}{18}$ .

a)

6

b)

9

c)

12

d)

15

3.

If $\frac{7}{x} = \frac{21}{12}$ , what is the value of $x$ ?

a)

4

b)

6

c)

12

d)

3

4.

Solve for $y$ : $\frac{y}{10} = \frac{3}{5}$

a)

2

b)

5

c)

6

d)

8

5.

Solve the proportion for $x$ for the proportion $\frac{2}{5} = \frac{x}{20}$ ?

a)

4

b)

6

c)

8

d)

10

6.

If $\frac{9}{x} = \frac{3}{4}$ , what is $x$ ?

a)

12

b)

9

c)

6

d)

15

7.

The formula for the area of a triangle is $A = \frac{1}{2}bh$ . What is the area(A) if $b = 8$ and $h = 5$ ?

a)

20

b)

40

c)

10

d)

13

8.

Using the formula $C = 2\pi r$ , what is the circumference of a circle with radius $r = 7$ ? (Use $\pi \approx 3.14$ )

a)

21.98

b)

43.96

c)

14.00

d)

28.00

9.

The volume of a rectangular prism is $V = lwh$ . If $l = 4$ , $w = 3$ , and $h = 5$ , what is $V$ ?

a)

12

b)

20

c)

60

d)

35

10.

If $d = rt$ , and $d = 120$ miles, $r = 60$ mph, what is $t$ ?

a)

1 hour

b)

2 hours

c)

3 hours

d)

4 hours

11.

The formula for the perimeter of a rectangle is $P = 2l + 2w$ . If $l = 9$ and $w = 4$ , what is $P$ ?

a)

26

b)

18

c)

36

d)

13

12.

Using $A = \pi r^2$ , what is the area(A) of a circle with $r = 6$ ? (Use $\pi \approx 3.14$ )

a)

18.84

b)

36.00

c)

113.04

d)

28.26

13.

Which of the following is a relation?

a)

$y = 2x + 1$

b)

$\{(1,2), (2,3), (3,4)\}$

c)

$x^2 + y^2 = 25$

d)

All of the above

14.

Which set of ordered pairs represents a relation?

a)

$\{(2,3), (4,5), (6,7)\}$

b)

$\{(1,2), (1,3), (1,4)\}$

c)

$\{(5,6), (7,8)\}$

d)

All of the above

15.

Which of the following relations is not a function?

a)

$\{(1,5), (2,6), (3,7)\}$

b)

$\left\{\left(2,3\right),\left(2,4\right),\left(2,5\right),\left(2,6\right)\right\}$

c)

$\{(4,8), (5,9), (6,10)\}$

d)

$\{(7,11), (8,12), (9,13)\}$

16.

Which relation is NOT a function?

a)

$\{(1,2), (2,3), (3,4)\}$

b)

$\{(1,2), (1,3)\}$

c)

$\{(2,5), (3,6)\}$

d)

$\{(4,7), (5,8)\}$

17.

Which of the following equations represents a function?

a)

$y = 2x + 3$

b)

$x^2 + y^2 = 16$

c)

$x = y^3$

d)

$x^2 = y^2$

18.

Which of the following is NOT a function?

a)

$y = 2x + 1$

b)

$x^2 + y^2 = 16$

c)

$y = 3x - 4$

d)

$y = \sqrt{x}$

19.

Which set of ordered pairs represents a function?

a)

$\{(1,2), (2,3), (3,4)\}$

b)

$\{(1,2), (1,3)\}$

c)

$\{(2,5), (2,6)\}$

d)

$\{(3,7), (4,8), (5,9)\}$

20.

Which of the following is a function?

a)

$y = 2x + 5$

b)

$x^2 + y^2 = 9$

c)

$x = y^2$

d)

$x^2 = y^2$

21.

Which of the following is NOT a function?

a)

$y = x^3$

b)

$y = \sqrt{x}$

c)

$x^2 + y^2 = 25$

d)

$y = 2x - 1$

22.

Which of the following is a function?

a)

$y = 4x$

b)

$x^2 + y^2 = 36$

c)

$x = y^2$

d)

$x^2 = y^2$

23.

Which of the following is NOT a function?

a)

$y = 5x - 2$

b)

$y = x^2$

c)

$x^2 + y^2 = 49$

d)

$y = \sqrt{x}$

24.

Which of the following is a function?

a)

$y = 3x + 2$

b)

$x^2 + y^2 = 64$

c)

$x = y^2$

d)

$x^2 = y^2$

25.

Which of the following is NOT a function?

a)

$y = x^2$

b)

$y = 2x - 3$

c)

$x^2 + y^2 = 81$

d)

$y = \sqrt{x}$

26.

Which of the following is a function?

a)

$y = 6x$

b)

$x^2 + y^2 = 100$

c)

$x = y^2$

d)

$x^2 = y^2$

27.

Which of the following is NOT a function?

a)

$y = x^2$

b)

$y = 2x + 7$

c)

$x^2 + y^2 = 121$

d)

$y = \sqrt{x}$

28.

Which of the following is a function?

a)

$y = 7x - 1$

b)

$x^2 + y^2 = 144$

c)

$x = y^2$

d)

$x^2 = y^2$

29.

Which of the following is NOT a function?

a)

$y = x^2$

b)

$y = 2x - 5$

c)

$x^2 + y^2 = 169$

d)

$y = \sqrt{x}$

30.

IDENTIFY IF IT IS A FUNCTION OR NOT

a)

1.

Function

b)

2.

Not A Function

c)

3.

Function

d)

4.

Function

e)

5.

Not A Function

31.

What is the Domain?

a)

{-3, -1, 1, 3, 5, 7, 9}

b)

{-3, -2, -1, 0, 1, 2, 3}

c)

-3 ≤ x ≤ 3

d)

-3 ≤ x ≤ 9

32.

What is the domain?

a)

{-4, -1, 0, 2, 7}

b)

{-5, -4, -1, 0, 1, 2, 4, 7}

c)

{-5, 0, 1, 2, 4}

d)

{5}

33.

What is the Range?

a)

{-3, -1, 1, 3, 5, 7, 9}

b)

{-3, -2, -1, 0, 1, 2, 3}

c)

-3 ≤ x ≤ 3

d)

-3 ≤ x ≤ 9

34.

A graph is presented. What are the domains for this graph?

a)

-4,-1,4,5,8

b)

-6,0,2,3,4

c)

1,0,9,-4,5

d)

-6,0,4,5,8

35.

The table of values are shown. What is the range of the relation? From least to greatest.

a)

(-4,-8,-3)

b)

(-3,2,6)

c)

(-8,-4,4)

d)

(6,2,-3)

36.

The following ordered pairs represent a relation.
{(1,3) , (5,15) , (2,6), (4,12) , (3,9)}
What are the range values from least to greatest!

a)

{1, 5, 2, 4, 3}

b)

{3, 15, 6, 12, 9}

c)

{3}

d)

{3, 6, 9, 12, 15}

37.

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

c)

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

d)

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

38.

What is domain?

a)

A set of ordered pairs

b)

The collection of all inputs or x-values

c)

The collection of all outputs or y-values

d)

Has only one output for every input

39.

What is range?

a)

The collection of all inputs or x-values

b)

Has only one output for each input

c)

A set of ordered pairs

d)

The collection of all outputs or y-values

40.

Give the range of the set of ordered pairs: (2, 11), (9, -3), (7, 21), (-8, 6)

a)

{2, 9, 7, -8}

b)

{11, -3, 21, 6}

c)

-8 < x < 9

d)

-3 < y < 21

41.

A _____________ is a symbol, usually a letter, that represents a number.

a)

coefficient

b)

algebraic expression

c)

variable

d)

term

42.

A(n) __________________ consists of one or more numbers, variables, and operations.

a)

numerical expression

b)

term

c)

variable

d)

algebraic expression

43.

Which verbal expression represents the following expression?
3(4-x)

a)

four minus the number x divided by 3

b)

three times four less than a number x

c)

three times the quantity x less than four

d)

four minus x multiplied by three

44.

Which expression represents: "the product of 3 and x increased by 5"?

a)

5x - 3

b)

3 - 5x

c)

3x + 5

d)

3x(5)

45.

Carla and her sisters each earned 9 dollars for babysitting. Which expression represents how much Carla and her sisters earned in total?

a)

9 + x

b)

9x

c)

2(9 + x)

d)

2x + 9

46.

Three times the sum of 2 and e.

a)

3e+2

b)

3(e-2)

c)

3(e+2)

d)

2e+3

47.

Choose the verbal phrase that corresponds to the algebraic expression.

a)

the product of a number and 37

b)

the sum of 37 and a number

c)

8 more than 37 times a number

d)

37 more than 8 times a number

48.

Write an algebraic expression for:

20 divided by c

a)

$20\div c$

b)

$\frac{c}{20}$

c)

$c^{20}$

d)

$20c$

49.

Write an algebraic expression for:

Eight times the product of five and t

a)

$8\times5+t$

b)

$8\left(5t\right)$

c)

$5t\div\left(8\right)$

d)

$8+5t$

50.

Difference, minus, less than, and decreased by are all words that mean ______________.

a)

add

b)

subtract

c)

multiply

d)

divide

51.

The answer to a division problem

a)

product

b)

quotient

c)

sum

d)

difference

52.

The answer to an addition problem

a)

product

b)

quotient

c)

sum

d)

difference

53.

Translate the verbal expression into an algebraic expression.

The product of 7 and the square of x, increased by the difference of 5 and x².

a)

$7\left(2x\right)+\left(x^2-5\right)$

b)

$7\left(x^2+5-x^2\right)$

c)

$\left(5+x^2\right)-7x^2$

d)

$7x^2+\left(5-x^2\right)$

54.

Write $3^5$ in expanded form.

55.

$7+\left(13+3\right)=\left(7+13\right)+3$

a)

True

b)

False

c)

Never

56.

Which verbal expression represents the following expression?

3(4-x)

a)

Four minus the number x divided by 3

b)

Three times the quantity of four minus a number x

c)

Three times the quantity of x minus four

d)

Four subtracted from x multiplied by three

57.

Write the expression below using exponents.

$x\cdot x\cdot x$

58.

Which of the following options verbally expresses the following numerical expression?
$22-6\div\left(2\cdot3\right)$

a)

the quotient of twenty-two and six divided by the sum of two and three

b)

the difference of twenty-two and six plus the product of two and three

c)

the difference of twenty-two and six divided by the product of two and three

d)

the difference of twenty-two and six divided by the sum of two and three

59.

Find and explain the error.
5 - 3 + 2
5 - 5
0

a)

There is no error.

b)

The addition was done first, but you should have subtracted first.

c)

There is a subtraction error.

60.

Which operation is performed FIRST?

(13 - 1) + 4

a)

addition

b)

subtraction

c)

multiplication

d)

addition

61.

Which operation is performed SECOND?

44 ÷ 2 X (3 -1)

a)

multiplication X

b)

division ÷

c)

subtraction -

d)

addition

62.

What does the E in PEMDAS stand for?

a)

Exceptional

b)

Egg

c)

Exponent

d)

Empty

63.

What is the first step in PEMDAS?

a)

Parentheses

b)

Exponents

c)

Addition

d)

Mathematics

64.

What is the third step in PEMDAS?

a)

Exponents

b)

Division/Multiplication

c)

Division

d)

Multiplication

65.

What is the last step in PEMDAS?

a)

multiply

b)

exponents

c)

addition/subtraction

d)

none of the above

66.

True or false:
Addition ALWAYS comes before subtraction.

a)

True

b)

False

67.

When multiplying and dividing (for example, 4 x 5 / 2), how do you know which step to do first?

a)

Always multiply

b)

Always divide

c)

Whichever comes first reading left to right

d)

Whatever I feel like doing first

68.

$\frac{\left(x+2\right)}{2}=4$ Solve for x

a)

6

b)

0

c)

2

d)

4

69.

Solve for x:

6x - 5 = 7

a)

2

b)

3

c)

6

d)

12

70.

Solve for x

2x - 12 = -5x +4x

a)

x = 3

b)

x = 4

c)

x = -3

d)

x = -4

71.

Solve for x

12 = -4 (-6x - 3)

a)

x = 2

b)

x = 0

c)

x = -2

d)

not possible

72.

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

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

73.

Simplify the expression: 7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

74.

2(4 + 9w)

a)

8+9w

b)

2+9

c)

8+18w

d)

2+9w

75.

Distribute and Combine Like Terms:

−4(3x−7)+12

a)

-12x - 7

b)

-12x + 12

c)

-12x + 40

d)

-12x - 40

76.

Solve for r:

$-2\left|-2r-4\right|=-12$

a)

$\left\{3,1\right\}$

b)

$\left\{-3,-1\right\}$

c)

$\left\{-3\right\}$

d)

No Solution

77.

Solve for n:

$\left|2n\right|+10=-50$

a)

$\left\{30,-30\right\}$

b)

$\left\{20,-20\right\}$

c)

$\left\{-5,5\right\}$

d)

No Solution

78.

Solve for x:

$\left|2x+9\right|=15$

a)

$x=3$

b)

$x=3$ $x=6$

c)

$x=3$ $x=-12$

d)

$x=6$ $x=-12$

79.

Evaluate: 12 + 7(-2h - 3) for h = -3

a)

33

b)

45

c)

27

d)

-33

80.

Twice the sum of six and five

a)

2 x (6 + 5)

b)

2 x 6 + 5

c)

5 + 6 x 2

d)

(5 x 6) +2

81.

multiply the difference of 7 and 2 by 3

a)

3 x (7 - 2)

b)

3 x 7 - 2

c)

3 x (7 ÷ 2)

d)

7 - 2 x 3

82.

Write in Point Slope Form Y-Y1 = m(x-x1)

m= 3

(1, 7)

a)

y - 7 = 3( x - 1)

b)

y - 1 = 3( x - 7)

c)

y - 3 = 3( x - 1)

d)

y - 1 = 7( x - 3)

83.

Which of these represents point-slope form of a linear equation?

a)

y - y₁ = m(x - x₁)

b)

Ax + By = C

c)

y = mx + b

d)

y=kx

84.

Write in Point Slope Form Y-Y1 = m(x-x1)

m=4

(2, 2)

a)

y- 2 = 4( x - 2)

b)

y- 4=4(x - 2)

c)

y- 2= 2( x - 2)

d)

y + 2 = 4(x + 2)

85.

Find the slope given these points:

(2,-4) and (3,1)

a)

5

b)

-3

c)

3

d)

-5

86.

Find the equation of the line that passes through the points:

(-2, 4) and (1, 10)

a)

y = 2x - 1

b)

y = -2x + 1

c)

y = 2x

d)

y = -2x

87.

Write Slope intercept using (0,-3) and (4,1)

a)

y = 1x + 1

b)

y = 1x - 3

c)

y = -1x + 1

d)

y = -1x - 3

88.

What is the standard form of a linear equation?

a)

y = mx + b

b)

Ax + By = C

89.

What is the standard form of the line that passes through (1,3) and (4,-8)

a)

3x - y = -8

b)

3x + y = 8

c)

3x + y = -8

d)

-3x + y = -8

90.

Write an equation in standard form for the line that passes through the two points.

(-8, 4) (4, -4)

a)

2x - 3y = -4

b)

2x + 3y = -4

c)

2x + 3y = 4

d)

3x + 2y = -4

91.

What is the first step to solve this equation?
x - 5 = 7 - 2x

a)

Add 7 to both sides of the equation

b)

Add 2x to both sides of the equation

c)

Subtract 2x from both sides of the equation

d)

combine x and -2x

92.

What should be the first two steps to solve this equation?

2x +4(3x + 6) = 90

a)

combine 2x and 3x and then distribute the 4.

b)

subtract 6 from both sides and then divide by 4

c)

distribute the 4 and then combine like terms by addition

d)

combine 2x and 3x and then subtract 6 from both sides

93.

Put the m and the point in Point Slope Form Y-Y1 = m(x-x1)

m= 5

(2, 4)

a)

y - 2= 5(x - 4)

b)

y - 4= 5(x - 2)

c)

y- 5 = 4(x - 2)

d)

y - 2 = 4(x - 5)

94.

Y-Y1 = m(x-x1)

Write the point-slope form of the line that goes through (2,-1) ** and (4,-6).

a)

y + 1 = (-5/2)(x - 2)

b)

y - 1 = (-5/2)(x - 2)

c)

y - 1 = (5/2)(x + 2)

d)

y + 1 = (5/2)(x - 2)

95.

Write the following equation in slope intercept form: Y = mx+B

m=-3

(5,-2)

a)

y = -3x + 17

b)

y = -3x + 13

c)

y = -3x - 13

d)

y = -3x - 17

96.

Write the slope-intercept form of the equation with the given point and slope.

Through ( - 1,4 ) and m = - 3

a)

y = x - 3

b)

y = - 3x + 1

c)

y = x + 2

d)

y= - 3x + 4

97.

Write the equation
m = -3

(-5,2)
in standard form.

a)

3x+y=-13

b)

-3x+y=-13

c)

-3x-y=13

d)

3x+y=-13

98.

13-6x-y=0

a)

-6x-y=-13

b)

13-6x=y

c)

6x+y=13

d)

y=-6x+13

99.

Put the two points in Standard Form

(4,3) (2,-5)

a)

4x - y = -13

b)

4x - y = 13

c)

4x + y = 13

d)

4x + y = -13

100.

Which of the following is slope intercept form?

a)

Ax+By = C

b)

y-y₁=m(x-x₁)

c)

y=mx+b

d)

I don't know

101.

Is the following equation in slope-intercept form or point-slope form?
$y=-\frac{1}{3}x-17$

a)

Point-Slope Form

b)

Slope-Intercept Form

102.

Write the following equation in slope intercept form: Y = mx+B

y + 2 = -3(x - 5)

a)

y = -3x + 17

b)

y = -3x + 13

c)

y = -3x - 13

d)

y = -3x - 17

103.

Write in Point Slope Form Y-Y1 = m(x-x1)

m= 3

(1, 7)

a)

y - 7 = 3( x - 1)

b)

y - 1 = 3( x - 7)

c)

y - 3 = 3( x - 1)

d)

y - 1 = 7( x - 3)

104.

Write the equation in point-slope form Y-Y1 = m(x-x1)

for the line that contains the points

(3, -5) and (5, - 1)

a)

y - 5 = 2(x + 3)

b)

y + 5 = 2(x - 3)

c)

y - 3 = 2(x + 5)

d)

y + 3 = 2(x - 5)

105.

Y = mx+B

Using the slope intercept form what is the equation of the line: m= 1/4

y-intercept= (0,-2)

a)

y = (1/4)x + 2

b)

y = (1/4)x - 1

c)

y = (1/4)x - 2

d)

y = (1/4)x + 1

106.

Y = mx+B

Using the slope intercept form what is the equation of the line: m= 4

y-intercept= (0,6)

a)

y = 6x + 4

b)

y = 4x - 6

c)

y = -4x + 6

d)

y = 4x + 6

107.

Write the following equation in Standard Form:

$y+3=-\left(x-5\right)$

a)

$x+y=2$

b)

$x-y=-2$

c)

$2x+y=-1$

d)

$x+4y=4$

108.

Write an equation in Standard Form for a line containing the points

(-5,-4) and (2,-1)

a)

$7x-28y=-3$

b)

$7x+28y=-3$

c)

$5x-28y=3$

d)

$3x-7y=13$

109.

What equation represents point-slope form?

a)

y = mx + b

b)

y - y₁= m ( x - x₁ )

c)

y = mx - b

d)

y + y₁= m ( x + x₁ )

110.

What is the first step to convert this equation into slope-intercept form?
$y+4=-9\left(x+3\right)$

a)

Subtract 4 from both sides of the equation

b)

Add 4 to both sides of the equation

c)

Distribute -9 to everything in the parentheses

d)

Distribute 9 to everything in the parentheses

111.

Y = mx+B

Write the following equation in slope intercept form:

y - 3 = 3(x - 1)

a)

y = 3x + 6

b)

y = 3x - 6

c)

y = 3x

d)

y=3x - 4

112.

Y = mx+B

Write the following equation in slope intercept form:

y - 2 = -4( x - 3)

a)

y = -4x + 14

b)

y = -4x - 10

c)

y = -4x + 10

d)

y = -4x - 14

113.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

114.

Slope is know as rise/

a)

run

b)

fall

c)

none

d)

rise

115.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

116.

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

117.

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

a)

1/2

b)

-1/2

c)

2

d)

-2

118.

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

a)

1/5

b)

-1/5

c)

5

d)

-5

119.

What is the slope represented in the table?

a)

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

b)

slope: $2$

c)

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

d)

slope: $-2$

120.

a)

Function

b)

Not a Function

121.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

122.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

123.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

124.

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.

125.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

126.

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)

127.

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}

128.

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)

129.

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.

Algebra I Semester 1 Final Review

Total questions: 129

Worksheet time: 4hrs 18mins

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