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Algebra I 1st Semester Test

Total questions: 111

Worksheet time: 6hrs 33mins

Name
Class
Date
1.

-0.775 is a

a)

Irrational Number

b)

Whole Number

c)

Integer

d)

Rational Number

2.

3\sqrt{3}  is considered a...

a)

Whole number

b)

Integer

c)

Irrational Number

d)

Rational Number

3.

Positive and negatives with no decimals or fractions

a)

Whole number

b)

Natural number

c)

Integer

d)

Rational number

4.
Whole numbers are natural numbers together with "zero."
a)
True
b)
False
5.
A number can be rational and irrational.
a)
True
b)
False
6.
Integers are whole numbers and their opposites.
a)
True
b)
False
7.
All numbers are real numbers.
a)
False
b)
True
8.

Find the value of the variable: m + 4 = 12

a)

16

b)

8

c)

48

d)

3

9.

Find the value of m: m5 = 10\frac{m}{5}\ =\ 10  

a)

2

b)

5

c)

50

10.

Find the value of m: 5m = 10

a)

50

b)

2

c)

5

11.

What is the inverse of addition?

a)

multiplication

b)

division

c)

subtraction

d)

addition

12.

What is the inverse of multiplication?

a)

Addition

b)

Subtraction

c)

Division

13.

5 + c = 8

a)

3

b)

13

c)

5

d)

8

14.

What is the inverse of division?

a)

Addition

b)

Multiplication

c)

Subtraction

15.

What is the inverse of subtraction?

a)

Division

b)

Multiplication

c)

Addition

16.

Find the value of the variable: k - 2.14 = 85

a)

82.86

b)

2.99

c)

87.14

17.
2d + 7 = 9 
a)
1
b)
7
c)
4
d)
3
18.
2s - 4 = 6
a)
5
b)
3
c)
-5
d)
2
19.
-6p - 3 = 9 
a)
-2
b)
2
c)
6
d)
3
20.
3 + 9n = 21
a)
2
b)
-2
c)
6
d)
3
21.

Level 3

Solve for a

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

22.

2( 10x + 10) = 60

a)

5

b)

2.7

c)

2

d)

-2

23.

-5 + 5 ( 2x -3 ) = 45

a)

19

b)

6.5

c)

-10

d)

5.2

24.
Solve for f:
f - 4 = 6f + 26
a)
f = -5
b)
f = 5
c)
f = 6
d)
f = -6
25.
Solve for x:
5x - 14 = 8x + 4
a)
x = 6
b)
x = -6
c)
x = -18/13
d)
x = 10/3
26.

The horizontal axis on a graph

a)

origin

b)

x-axis

c)

y-axis

d)

axis of symmetry

27.

10. A ____________ is a symbol, usually a letter, that represents one or more numbers.

a)

expression

b)

ratio

c)

variable

d)

costant

e)

membrane

28.
How many terms in the following expression:
5x + 3y - 15 + x
a)
1
b)
2
c)
3
d)
4
29.
A number on its own
a)
term
b)
constant
c)
coefficient
d)
variable
30.
A number in front of a variable
a)
numerical equation
b)
coefficient
c)
constant
d)
inequality
31.

"Y" Axis

a)

The vertical number line in a coordinate plane.

b)

The axis that represent the independent variable.

c)

The first column in a table of values.

d)

The horizontal number line in a coordinate plane.

32.
Solve for t.
D= rt
a)
D/r = t
b)
Dr = t
c)
D/t = r
d)
Dt = r
33.
Solve:
8x + 4y = 16    ,  for     y
a)
y = -2x + 4
b)
y = 2x - 4
c)
y = 2x + 4
d)
y = -2x - 4
34.

Match the inequality statement to the appropriate graph.

x>6.5x>6.5  

a)
b)
c)
d)
e)
35.

Match the inequality statement to the appropriate graph.

−12≥x-\frac{1}{2}\ge x  

a)
b)
c)
d)
e)
36.
x + 5 > 7
a)
x > -2
b)
x > 2
c)
x > 12
d)
x > -12
37.
y - 13 ≤ -15
a)
y ≤ 2
b)
y ≤ -2
c)
y ≤ 28
d)
y ≤ -28
38.
8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
39.
Solve the inequality
12 ≥ 6w
a)
w > 2
b)
w < 2
c)
w ≥ 2
d)
w ≤ 2
40.
m ⁄ 7 > -14
a)
m > -98
b)
m < -98
c)
m > -2
d)
m < -2
41.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
 11 ≤ a
d)
 11 ≥ a
42.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
43.
Do I need to flip my sign?
3x  ≥ 12
a)
Yes
b)
No
44.
Do I need to flip my sign?
-3x  ≥ 12
a)
Yes
b)
No
45.
When graphing b < 6 would you use an open or closed circle?
a)
Open
b)
closed
46.
Solve and graph the inequality.
77 ≤ 5 + 8n
a)
A
b)
B
c)
C
d)
D
47.
Solve and graph the inequality.
-169 ≤ 8m - 9
a)
A
b)
B
c)
C
d)
D
48.
6(n + 2) < -72
a)
n < -14
b)
n < 35/3
c)
n < -10
d)
n > -14
49.
6x + 10 > 5x - 12
a)
x > 2
b)
x < -2
c)
x < -22
d)
x > -22
50.
4(2a + 3) < 3(a - 1)
a)
a < -3
b)
a > -3
c)
a < 3
d)
a > 3
51.
When graphing "AND" inequalites, shading looks like___
a)
Shading that always connects the 2 dots.
b)
Shading that always points away from each dot
c)
2 shaded arrows pointing in same direction(both left)
d)
2 shaded arrows pointing in same direction (both right)
52.
When graphing the solutions to "OR" inequalities, The shading looks like___
a)
Shading that connects the 2 dots
b)
Shading that points away and never crosses.
c)
Shading that points toward each other and ALWAYS crosses
d)
Shading that points opposite, but sometimes crosses.
53.
Write an inequality for Graph 3.
a)
x ≤ -2 AND x > 5
b)
x ≤ -2 OR x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x < 5
54.
Write an inequality for Graph 4.
a)
-2 < x < 5
b)
x < -2 or x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x ≤ 5
55.
Less than:
a)
≥
b)
≤
c)
<
d)
>
56.
Less than or equal to:
a)
≤
b)
<
c)
>
d)
≥
57.
Greater than or equal to:
a)
<
b)
≤
c)
≥
d)
>
58.
Greater than
a)
<
b)
>
c)
≥
d)
≤
59.
∣ 2x + 9 ∣ = 15
a)
x = 3 
b)
x = 3
x = -6
c)
x = 3
x = -12
d)
x = 6
x = -12
60.
Evaluate each expression.
| x + 9 | = -5
a)
-14
b)
-4
c)
{-14, -4}
d)
no solution
61.
| x – 3 |= 0
a)
3
b)
-3
c)
{-3, 3}
d)
no solution
62.
|v + 8| − 5 = 2 
a)
{-1,-15}
b)
{-1,-5}
c)
{-15,15}
d)
No Solution
63.
a)
{4, -4}
b)
{9, -9}
c)
{5, -9}
d)
{13, -1}
64.
The graph of a linear function is always straight?
a)
true
b)
false
65.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
macaroni
d)
nothing
66.
Which of these following is not a type of slope
a)
positive
b)
negative
c)
undefined
d)
all of these are types of slope
67.
What is the slope of the line represented by the equation y = 7 - x?
a)
7
b)
0
c)
1
d)
-1
68.

What is 'b' in this linear equation? y= 5x - 6

a)

6

b)

5

c)

y

d)

-6

69.

What is the equation by looking at this graph?

a)

y= x + 3

b)

y= -x + 2

c)

y= 2x + 2

d)

y= x + 2

70.

What is given when your graph is horizontal?

a)

y

b)

x

71.

What is given when you have a vertical line on your graph?

a)

x

b)

y

72.

What direction is the line if the slope is positive?

a)

descending

b)

ascending

73.
Find the slope:
(-1,-9) and (5, -6)
a)
-15/4
b)
1/2
c)
-3/6
d)
11/3
74.
Find the slope:
(-4, 3) and (-4, -7)
a)
5/4
b)
-10/8
c)
Zero
d)
Undefined
75.

What is the correct slope-intercept form?

a)

y = mx + b

b)

y = mb + x

c)

y = x

d)

y = -mx + b

76.

What would the slope of the graph be?

a)

Positive

b)

Negative

c)

0

d)

Undefined

77.

What kind of slope does the graph have?

a)

Positive

b)

Negative

c)

0

d)

Undefined

78.

What kind of slope does the graph have?

a)

Positive

b)

Negative

c)

0

d)

Undefined

79.

What kind of slope does the graph have?

a)

Positive

b)

Negative

c)

0

d)

Undefined

80.
Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4
a)
y + 7 = -1/4(x - 4)
b)
y - 4 = -1/4(x + 7)
c)
y + 7 = 4(x - 4)
d)
y - 7 = -1/4(x - 4)
81.
Write an equation  
m = 5 through (-1, -3)
a)
y = 5x + 2
b)
y = -5x - 5
c)
y = -5x + 2
d)
y = 2x - 5
82.
For the equation
y + 1 = -3 (x - 5),
the line contains the point (5, -1) and has a slope of?
a)
-1
b)
1
c)
-3
d)
5
83.

What is the equation of the line y + 5 = -3(x - 6) in slope intercept form?

a)

y = -3x - 23

b)

y = -3x -13

c)

y = -3x - 11

d)

y = -3x+13

84.
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
85.
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)
86.

What is standard form of a line?

a)

y = mx + b

b)

Ax + By = C

c)

y - y1 = m(x - x1)

d)

y = Ax + By

87.
Which equation is written in STANDARD form?
a)
y = 1/2x + 2
b)
y - 3 = -5(x + 2)
c)

7x + 2y = 9

d)
3x + 2 = y
88.

Which equation is written in standard form?

a)

y = 3x - 5

b)

3x + 16 = 5y

c)
2/3 x + 9/13 y = 21
d)

5x + 7y = -12

89.

Put this into standard form:

y = 3x + 2

a)

y + 3x = 2

b)

3x + y = 2

c)

3x - y = -2

d)

3x - 2y = 2

90.

Put this into standard form:

8x = 9y + 10

a)

8x - 10 = 9y

b)

9y - 8x = 10

c)

8x + 9y = 10

d)

8x - 9y = 10

91.
What is the slope and y-intercept of:
y = -3x + 2?
a)
Slope = -3,
 y-intercept = 2
b)
Slope = 2,
 y-intercept = -3
c)
Slope = 3,
 y-intercept = -2
d)
Slope = 2,
 y-intercept = -3
92.
What is the slope of this line?
a)
m = 3/2
b)
m = -2/3
c)
m = -3/2
d)
m = 2/3
93.

Classify 35\frac{3}{5}  

a)

Irrational

b)

Rational

c)

Integer

d)

Whole

e)

Natural

94.

-14 could be classified as all of these EXCEPT?

a)

Integer

b)

Real

c)

Rational

d)

Whole

95.
Which statement is NOT true?
a)
Every rational number is a real number.
b)
Every counting number is a whole number.
c)
Every integer is a rational number.
d)
Every decimal number is an irrational number.
96.
Explain the error
a)
-1.2 isn't an integer.
b)
-2 isn't a whole number and 3.4 isn't a rational number.
c)
-2 isn't a whole number and -1.2 isn't an integer.
d)
The numbers are graphed correctly.
97.
0.8 is a rational number
a)
True
b)
False
98.

25\sqrt{25}  

a)

irrational

b)

rational

c)

integer

d)

whole number

e)

natural number

99.

Match the mathematics vocabulary term with its definition: absolute value

a)

the set of whole numbers and their opposites

b)

a decimal that ends

c)

a number that can be written as a fraction in the form of: A/B

d)

the distance between a number and zero on the number line

100.

Match the mathematics vocabulary term with its definition: terminating decimal

a)

the set of whole numbers and their opposites

b)

a decimal that ends

c)

a number that can be written as a fraction in the form of: A/B

d)

two numbers that are the same distance from zero on the number line, but opposite sides of zero

101.

Match the mathematics vocabulary term with its definition: solution

a)

a combination of variables, numbers, and operations

b)

the answer to a mathematical equations

c)

the parts of an expression or equation separated by addition and subtraction signs

d)

two expressions set equal to one another

102.

Match the mathematical vocabulary term with its definition: slope

a)

a ratio of the change in Y to the change in X between any two points on a line; it is a measure of the steepness of a line

b)

a rate with a denominator of one

c)

a ratio of two quantities with different units

d)

a comparison of two quantities using division

103.
What is an inequality?
a)
A pair of numbers (x,y) that indicate the position of a point on the cartesian plane.
b)
The set of numbers greater than zero
c)
A mathematical sentence that contains the symbols 
>,<,,
d)
The horizontal number line on the Cartesian Coordinate plane
104.

What is the definition of isolate?

a)

Lets you multiply a sum by multiplying each addend separately and then adding the products.

b)

Break it up into numbers that can be multiplied together to get the original number.

c)

Using inverse operations to undo addition, subtraction, multiplication and division to get the variable alone.

d)

A number used to multiply a variable

105.

Like terms

a)

terms that have the same variables with the same exponents

b)

only add the numbers that are identical

106.

In the following expression, how many terms are there?

5x³ - 7x + 11

a)

1

b)

2

c)

3

d)

4

107.

In the following expression, the number 11 is an example of a ____________?

5x³ - 7x + 11

a)

term

b)

constant

c)

coefficient

d)

variable

108.

In the following expression, the number 7 is an example of a ____________?

5x³ - 7x + 11

a)

term

b)

constant

c)

coefficient

d)

variable

109.

What are the like terms in the following expression?

7x + 8 - 6x2 + 2x

a)

7 and 2

b)

7x, 8, 6x2, 2x

c)

7x and 2x

d)

7x, 6x2, 2x

110.

Simplify.

5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

111.

Simplify.

5x + 3y + 5 + 4x + 3y + y + 8

a)

9x + 7y + 13

b)

6x + 2y + 2

c)

25x + 2y + 3

d)

x + 7y + 12

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