Free Printable Semester 1 Exam Review Algebra

1.

The sum of two irrational numbers will ________________be irrational.

a)

Always

b)

Sometimes

c)

Never

2.

The product of two Irrational numbers is _________________ Rational.

a)

Always

b)

Sometimes

c)

Never

3.

Which statement is true?

a)

The number ⅚ is irrational

b)

The number 0.345345345 is irrational

c)

The number (4π/16π) is rational

d)

The number (√11)² is rational

4.

Irrational numbers...

a)

are non-repeating

b)

are non-terminating and non-repeating decimals

c)

can sometimes be perfect squares

d)

are non-terminating

5.

What number system does √7 belong to?

a)

Rational

b)

Irrational

c)

Whole

d)

Integer

6.

What number system does -17.5 belong to?

a)

Rational

b)

Irrational

c)

Integer

d)

Whole

7.

What does this type of number belong to:

a terminating decimal

a)

Rational Number

b)

Irrational Number

8.

The product of two Rational numbers is ________________ Rational.

a)

Always

b)

Sometimes

c)

Never

9.

m plus the product of 6 and n

a)

m + 6n

b)

m - 6 + n

c)

6m + n

d)

m + 6 + n

10.

5 less than the product of 7 and s

a)

7s - 5

b)

5 - 7 + s

c)

7(s - 5)

d)

5 - 7s

11.

4 divided by the sum of a number and 12

a)

4 / n + 12

b)

4 / 12n

c)

4 / (n + 12)

d)

(4 / n) + 12

12.

A rectangle has a perimeter of 70 feet. Its length is five more than twice its width. Which equation can be used to determine the width of the rectangle?

a)

2x + 5 = 70

b)

3x + 5 = 70

c)

6x + 10 = 70

d)

5x + 2 = 70

13.

3(2 + x) + 6x - 4

a)

6x + 5

b)

9x + 1

c)

9x + 2

d)

3x + 8

14.

⅔(¼x - 6)

a)

⅙x - 4

b)

½x - 3

c)

⅘x - 2

d)

⅛x - 6

15.

-3(-9v-4)-2(v-2)

a)

10v - 11

b)

25v + 16

c)

30v + 9

d)

32v - 10

16.

Solve the equation:
1/2x = 6

a)

x = 12

b)

x = -12

c)

x = 3

d)

x = -3

17.

Solve for W:

a)

9

b)

11

c)

15

d)

10

18.

Solve for x.
3/5x = 6

a)

x = 10

b)

x = 33

c)

x = 11 1/3

d)

x = 90

19.

Solve the equation:
3x - x + 2 = 4(2x - 1)

a)

infinite solutions

b)

x = 1

c)

x = -1

d)

no solution

20.

Solve the equation:
½ (2x + 6) = 3x + 13

a)

no solution

b)

x = 8

c)

x = -5

d)

x = 7

21.

Identify the property
a + b = b + a

a)

Identity of addtion

b)

commutative of addition

c)

associative of addition

d)

symmetric

22.

Pick the answer that is an example of the commutative property of multiplication

a)

b + c + a = a + b + c

b)

a(b + c) = ab + ac

c)

a ⋅ b = b⋅ a

d)

a ⋅ 1 = a

23.

A gymnastics center charges a $60 registration fee and $15 per class. Olivia registers to take a class and pays a total of $210. Which equation can be used to determine how many classes Olivia signed up for?

a)

60 - 15x = 210

b)

15x - 60 = 210

c)

15x + 60 = 210

d)

210 + 15x = 60

24.

Solve the following inequality:
-4x + 14 ≤ 54

a)

x ≥ -10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

25.

x + 8 < 3 or - 8x < -40

a)

x > -5 or x < 5

b)

x < -5 and x > 5

c)

x < -5 or x > 5

d)

x > -5 and x < 5

26.

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

27.

When you graph an inequality, you used a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

28.

a)

x > -3 or x > 1

b)

x < -3 or x < 1

c)

x ≥ 3 and x ≤ 1

d)

x > -3 and x < 1

29.

Solve the equation for d.
d / t = r

a)

d = r / t

b)

d = t / r

c)

d = rt

d)

d = r - t

30.

S = 3F - 24 Solve for F

a)

F = (S + 24)/3

b)

F = S/3 + 24

c)

F = 3S + 24

d)

F = 3(S + 24)

31.

You downloaded a video game to your computer. You have a 60 minute free trial of the game. It takes 5 minutes to set up the game and 7 minutes to play each level. Write an inequality to show how many levels you can play. DO NOT SOLVE

a)

5x-7 ≥ 60

b)

7x+5 ≤ 60

c)

7+5 ≤ 60x

d)

7x-5 ≥ 60

32.

Melissa wants to spend no more than $300 on school clothes. She spends $75 on a coat and then wants to buy some sweaters that are on special for $10 each. Write an inequality to show how many sweaters Melissa can buy. DO NOT SOLVE

a)

75x-10 ≥ 300

b)

75+10 ≤ 300x

c)

10x ≥ 300

d)

75+10x ≤ 300

33.

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

a)

{2, 9, 7, -8}

b)

{-3, 6, 11, 21}

c)

-8 < x < 9

d)

-3 < y < 21

34.

What is the domain of a relation?

a)

the set of all x-values

b)

the set of all y-values

35.

Which is the set of all y-values or the outputs?

a)

Domain

b)

Range

c)

Relation

d)

Function

36.

Describe the correlation in the graph shown.

a)

Negative correlation

b)

Positive correlation

c)

No correlation

d)

cannot be determined

37.

What is the Range of the situation?

a)

$0\le x\ \le9$

b)

$0<x<9$

c)

$0<x<28$

d)

$0\le y\le28$

38.

For the function f(x) = -3(x-1) find f(0).

a)

0

b)

-3

c)

3

d)

-1

39.

a)

Function

b)

Not a Function

40.

a)

Function

b)

Not a Function

41.

a)

Function

b)

Not a Function

42.

Is the graph pictured a function?

a)

Yes

b)

No

43.

a)

Function

b)

Not a Function

44.

Which relation is NOT a function?

a)

{(1,-5), (3,1), (-5,4), (4,-2)}

b)

{(2,7), (3,7), (4,7), (5,8)}

c)

{(1,-5), (-1,6), (1,5), (6,-3)}

d)

{(3,-2), (5,-6), (7,7), (8,8)}

45.

What is the domain of the graph?

a)

x ≥ -6

b)

-7 ≤ x ≤ 3

c)

-8 ≤ x ≤ 4

d)

x ≤ -6

e)

All real numbers

46.

What is the range of the graph?

a)

y ≥ -6

b)

-7 ≤ y ≤ 3

c)

-8 ≤ y ≤ 4

d)

y ≤ -6

e)

All real numbers

47.

What is the domain of the graph?

a)

x ≥ 1

b)

1 ≤ x ≤ 5

c)

1 ≤ x ≤ 4

d)

x ≤ 5

e)

All real numbers

48.

What is the range of the graph?

a)

y ≥ 1

b)

1 ≤ y ≤ 5

c)

1 ≤ y ≤ 4

d)

y ≤ 5

e)

All real numbers

49.

What is the domain of the graph?

a)

-3 ≤ x ≤ 3

b)

-2 ≤ x ≤ 3

c)

-3 ≤ x ≤ 4

d)

-3 ≤ x ≤ 4

e)

All real numbers

50.

What is the range of the graph?

a)

-3 ≤ y ≤ 3

b)

-2 ≤ y ≤ 3

c)

-3 ≤ y ≤ 4

d)

-3 ≤ y ≤ 4

e)

All real numbers

51.

.
The blue graphs is the parent function f(x)=|x|, the red must be

a)

g(x)=|x+2|

b)

g(x)=|x|+2

c)

g(x)=|x-2|

d)

g(x)=|x|-2

52.

y = |x| - 7 makes the graph slide . . .

a)

left 7

b)

right 7

c)

up 7

d)

down 7

53.

y = |x - 3| makes the graph slide . . .

a)

left 3

b)

right 3

c)

up 3

d)

down 3

54.

Does this parabola have a maximum or minimum?
REMEMBER MAXIMUM IS THE HIGHEST AND MINIMUM IS THE LOWEST.

a)

Maximum

b)

Minimum

55.

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

56.

What is the absolute minimum of this graph?

a)

(4,1)

b)

(1,-4)

c)

(-1,0)

d)

(3,0)

57.

What is the absolute minimum?

a)

x = 2

b)

x = 1

c)

x = −1

d)

No Absolute Minimum

58.

How has the parent graph y= $x^2$ been transformed?

a)

y=(x-4)²+1

b)

y=(x-4)²-1

c)

y=(x+4)²+1

d)

y=(x+4)²-1

59.

Which of these is a solution to the equation

y -12= x ?

a)

(0,12)

b)

(1,12)

c)

(0,-12)

d)

None of these

60.

Which of these is a solution to the equation

- y+5x = -12 ?

a)

(-4,-8)

b)

(-4,6)

c)

(7,-1)

d)

None of these

61.

All points that make a line are solutions to a linear equation.

a)

True

b)

False

62.

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

a)

1/2

b)

-1/2

c)

2

d)

-2

63.

Are these two lines parallel, perpendicular or neither?
y = -1/3x - 5
y = 1/3x + 2

a)

Parallel

b)

Perpendicular

c)

Neither

64.

What is the slope in the equation y=2x + 3?

a)

2

b)

3

c)

5

d)

Cannot be Determined

65.

Are these two lines parallel, perpendicular or neither?

y = -1/4 x - 5

y = 4x + 2

a)

Parallel

b)

Perpendicular

c)

Neither

66.

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

67.

Write an equation in point slope form of equation of line

point (7,10) and has a slope of -2?

a)

y-10 = -2(x+7)

b)

y-10 = -2(x-7)

c)

y+10 = -2(x+10)

d)

y -10 = -2x+2

68.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

69.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

70.

Vertical or horizontal?
x = 4

a)

vertical

b)

horizontal

c)

neither

71.

Vertical or horizontal?
y = 10

a)

vertical

b)

horizontal

c)

neither

72.

Vertical or horizontal?
Slope of 0

a)

vertical

b)

horizontal

c)

neither

73.

Vertical or horizontal?
Undefined slope

a)

vertical

b)

horizontal

c)

neither

74.

What is the equation of the line graphed?

a)

y = 0

b)

y = 1

c)

y = 2

d)

x = 1

75.

What is the equation of this line?

a)

x=5

b)

y=5

c)

y=5x

d)

x=-5

76.

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

a)

y axis

b)

slope

c)

y coordinate

d)

x coordinate

77.

Which equation matches the table?

a)

y = x + 5

b)

y = 5x

c)

y = x - 5

d)

x = y - 5

78.

What is the equation of the line represented by the table?

a)

y = 2x - 6

b)

y = -2x + 5

c)

y = 3x + 2

d)

y = 2x + 3

79.

It is a sequence wherein the terms are generated by adding a constant number called common difference.

a)

Arithmetic Sequence

b)

Fibonacci Sequence

c)

Geometric Sequence

d)

Harmonic Sequence

80.

Which of the the following are examples of arithmetic sequence?

a)

$\frac{1}{4},\frac{1}{2},\frac{3}{4},1$

b)

$6,11,16,21,...$

c)

$100,95,90,85,80,75$

d)

$100,50,25,\ ...$

81.

A sequence can be generated by using a_n = a_{(n − 1)} + 10, where a₁ = 23 and n is a whole number greater than 1. What are the first five terms in the sequence?

a)

33, 43, 53, 63, 73

b)

23, 33, 43, 53, 63

c)

23, 230, 2300, 23000, 230000

d)

23, 13, 3, −7, −17

82.

Find the common difference: -18, -23, -28, -33, ...

a)

d = -5

b)

d = 5

c)

d = -3

d)

d = 3

83.

Find the common difference: 29, 21, 13, 5, ...

a)

d = -10

b)

d = -9

c)

d = -8

d)

d = -7

84.

Select the explicit rule that represents the sequence.

a)

6 + 5(n - 1)

b)

4 + 6(n - 1)

c)

6 - 4(n - 1)

85.

Write the equation of a line that passes through the point (2,-4) and has a slope of 4.

a)

y=4x +12

b)

y=-4x-12

c)

y= 4x - 12

d)

y= 4x -4

86.

Which of the following lines represents the line of best fit for the scatter plot?

a)

A

b)

B

c)

C

d)

D

87.

Select the statement that best describes the line.

a)

The line is the line of best fit.

b)

The line is NOT a line of best fit because it does not pass through two points.

c)

The line is NOT a line of best fit because it does not go through the middle of the data set.

d)

The line is NOT a line of best fit because it does not go through the origin.

88.

What slope is parallel to:
m = 3/4

a)

4/3

b)

3/4

c)

-3/4

d)

-4/3

89.

What slope is perpendicular to:
m = 5/8

a)

-5/8

b)

5/8

c)

-8/5

d)

8/5

90.

Which of the following lines goes through the point (0, 4) and is parallel to y = 5x - 3?

a)

y = 1/5x - 3

b)

y= 5x - 7

c)

y = 5x + 4

d)

y = -5x - 3

91.

Write the equation of the line.

a)

y = x + 1

b)

y= x - 1

c)

y= -x + 1

d)

y= -x - 1

92.

Write the equation of the line.

a)

y = (1/3)x - 1

b)

y = (3/2)x - 1

c)

y = 3x - 1

d)

y = (2/3)x - 1

93.

Which of the following is the graph of $3x\ -\ 2y\ =\ -8$ ?

a)

b)

c)

d)

94.

Which of the following is the graph of $5x\ +\ y\ =\ -5$ ?

a)

b)

c)

d)

95.

a)

y < -2/5x - 4

b)

y > -2/5x - 4

c)

y ≤ -2/5x - 4

d)

y ≥ -2/5x - 4

96.

a)

y < -3/4x - 2

b)

y > -3/4x - 2

c)

y ≤ -3/4x - 2

d)

y ≥ -3/4x - 2

97.

a)

x < 4

b)

x > 4

c)

x ≤ 4

d)

x ≥ 4

98.

a)

y < 5x + 1

b)

y > 5x + 1

c)

y ≤ 5x + 1

d)

y ≥ 5x + 1

99.

a)

y < -2x + 3

b)

y > -2x + 3

c)

y ≤ -2x + 3

d)

y ≥ -2x + 3

100.

True or false:
The x-intercept of a function ALWAYS occurs where y is equal to zero.

a)

True

b)

False

101.

True or false:
The y-intercept of a function ALWAYS occurs where y is equal to zero.

a)

True

b)

False

102.

What is the x-intercept shown on the graph?

a)

(2, 0)

b)

(-2, 0)

c)

(0, 3)

d)

(3, 0)

103.

What is the y-intercept shown on the graph?

a)

(0, -2)

b)

(3, 0)

c)

(0, 3)

d)

None of these.

104.

Name the slope

a)

3

b)

1

c)

-1x

d)

-1

105.

Name the y intercept

a)

-1

b)

7

c)

-1x

d)

-7

106.

What is the y-intercept in the equation x + 2y = 4

a)

0

b)

2

c)

4

d)

KC Royals

107.

Determine the y-intercept for the following equation
4x + 2y = -12

a)

4

b)

-6

c)

-12

d)

2

108.

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

a)

(8, 0)

b)

(0, 8)

c)

(3, 0)

d)

(0, 3)

109.

a)

(2, -2)

b)

(2, 2)

c)

(-2, 2)

d)

(-2, -2)

110.

a)

Infinitely Many Solutions

b)

No Solution

111.

What is the solution to this system? Solve by substitution.
y= 4x + 3
2x - 3y = 21

a)

(3,-9)

b)

(-3,-9)

c)

(-3,9)

d)

(0,1)

112.

Solve the system of equations.
x + 5y = -27
-2x - 5y = 24

a)

(3, 6)

b)

(-3, -6)

c)

(-3, -4)

d)

(3, -6)

113.

A system of equations that has a least one solution is

a)

Consistent

b)

inconsistent

c)

dependent

d)

independent

114.

Inconsistent system is a system of equations that has

a)

one solution

b)

two solutions

c)

infinitely many solutions.

d)

has no solution

115.

How many solutions will this system have?

a)

One

b)

Two

c)

No Solution

d)

Infinitely Many Solutions

116.

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

117.

How many solutions will this system have?

a)

No Solution

b)

Infinitely Many Solutions

c)

No Clue

d)

One solution

118.

Consistent or Inconsistent?

a)

Consistent

b)

Inconsistent

119.

Dependent or Independent?

a)

Dependent

b)

Independent

c)

Neither

120.

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

121.

Which of the following is a solution to the systems of inequalities?

a)

(1, -5)

b)

(2, 3)

c)

(-2, 3)

d)

(-1, 1)

122.

When graphing an inequality, you use a dotted line when you use which symbol?

a)

<, >

b)

≤, ≥

123.

When you graph an inequality, you used a solid line when you use which symbols?

a)

≤, ≥

b)

<, >

124.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

125.

a)

4^4/3

b)

4^3/4

c)

2^4/3

d)

2^3/4

126.

a)

7²

b)

7^1/2

c)

7^-2

d)

7^-1/2

127.

a)

2^3/5

b)

-2^3/5

c)

2^5/3

d)

8⁵

128.

a)

7³

b)

7

c)

7^3/4

d)

7^4/3

129.

Write the expression in radical form.
x^7/2

a)

√x⁷

b)

7√x²

c)

7x²

d)

∛x⁷

130.

Simplify the expression:
10^1/2 * 10^1/2

a)

10

b)

100

c)

10,000

d)

3.56

131.

Simplify the expression:
3^1/3 * 9^1/3

a)

3

b)

9

c)

1/3

d)

27

132.

Estimate the correlation coefficient for this scatterplot.

a)

A) r = 1.2

b)

B) r = 0.89

c)

C)r = 0

d)

D) r = -0.89

133.

Estimate the correlation coefficient for this scatterplot.

a)

A) r = -0.9

b)

B) r = 1

c)

C) r = 0.9

d)

D) r = -1

134.

What type of correlation does this graph show?

a)

A) Positive

b)

B) negative

c)

C) none

d)

D) all of the above

135.

A perfect negative correlation has a correlation coefficient of ____.

a)

1

b)

-1

c)

0

136.

A perfect positive correlation has a correlation coefficient of ____.

a)

1

b)

-1

c)

0

Semester 1 Exam Review Algebra

Total questions: 136

Worksheet time: 4hrs 14mins

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