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Algebra 1 Mid-Term Review

Total questions: 133

Worksheet time: 2hrs 13mins

Name
Class
Date
1.

155 = 1\frac{1}{5}\cdot5\ =\ 1

a)

True

b)

False

2.

0x= 0\frac{0}{x}=\ 0

a)
True
b)
False
3.

x0= 0\frac{x}{0}=\ 0

a)
True
b)
False
4.

2(xy)=2x2y2\left(x\cdot y\right)=2x\cdot2y

a)
True
b)
False
5.

3(x+2)=3\left(x+2\right)=

a)

6x

b)

3x+2

c)

3x+6

d)

x+6

6.

x - 7 = 7 - x

a)

True

b)

False

7.

2<9-2<-9

a)
True
b)
False
8.

.12>.2.12>.2

a)
True
b)
False
9.

Simplify:

3+253+2\cdot5

(a)  

10.

Simplify:

6+303+9\frac{6+30}{3+9}

(a)  

11.

Simplify:

(1+3)2\left(1+3\right)^2

(a)  

12.

Simplify:

3(4+1)3\left(4+1\right)

(a)  

13.

Simplify using x=2 and y=-3:

4x3y=4x-3y= (a)  

14.

Simplify using x=2, y=-3, and z=5

x2+2yzx^2+2y-z

(a)  

15.

Which Property is being used:

y6=6yy\cdot6=6\cdot y

a)

Commutative Property of Addition

b)

Commutative Property of Multiplication

c)

Associative Property of Addition

d)

Associative Property of Multiplication

16.

Which Property is being used:

3+(7+5)=(3+7)+53+\left(7+5\right)=\left(3+7\right)+5

a)

Commutative Property of Addition

b)

Commutative Property of Multiplication

c)

Associative Property of Addition

d)

Associative Property of Multiplication

17.

Which Property is being used:

4(xy)=(4x)y4\left(xy\right)=\left(4x\right)y

a)

Commutative Property of Addition

b)

Commutative Property of Multiplication

c)

Associative Property of Addition

d)

Associative Property of Multiplication

18.

Which Property is being used:

(3+2)t=t(3+2)\left(3+2\right)\cdot t=t\cdot\left(3+2\right)

a)

Commutative Property of Addition

b)

Commutative Property of Multiplication

c)

Associative Property of Addition

d)

Associative Property of Multiplication

19.

Find 25% of 60: (a)  

20.

35 is what percent of 280?

(a)  

21.

Find 3% of 4,396:

(DO NOT ROUND)

(a)  

22.

What percent of 250 is 45?

(a)  

23.

Ferdbert took his Algebra 1 Final. The final was 120 questions! If Ferdbert got 99 of the questions correct, what percent did he earn? (Assuming that all 120 questions are worth 1 point)

(a)  

24.

Egbert is taking the same exam that Ferdbert took (Algebra 1 Final exam, 120 questions all worth 1 point). If Egbert got an 80% on his final, how many questions out of 120 did he get correct?

(a)  

25.

Tinabert bought a new shirt for $30. The shirt was on sale for 20% off. What was the original price of the shirt that Tinabert bought?

(a)  

26.

What is the algebraic property for STEP 2?

a)

A) Addition Property

b)

B) Distributive Property

c)

C) Subtraction Property

27.

What is the algebraic property for STEP 3?

a)

A) Addition Property

b)

B) Subtraction Property

c)

C) Division Property

28.

What is the algebraic property for STEP 4?

a)

A) Subtraction Property

b)

B) Division Property

c)

C) Addition Property

29.

Solve:

7x  4 = 107x\ -\ 4\ =\ 10

x = (a)  

30.

Solve:

3x+4+2x=243x+4+2x=24

x = (a)  

31.

Solve:

x2=6\frac{x}{2}=6

x = (a)  

32.

Solve:

3x17=43x-17=4

x = (a)  

33.

Solve:

x213=2\frac{x-2}{13}=2

x = (a)  

34.

Solve:

13x45=7\frac{13x-4}{5}=7

x = (a)  

35.

What is the solution to this system of equations:

y = -3x + 4;

y = 3x - 2

(a)  

36.

What is the solution to this system of equations:

x - y = 3;

7x - y = -3

(a)  

37.

What is the solution to this system of equations:

y = 4x - 9;

y = x - 3

(a)  

38.

What is the solution to this system of equations:

4x + 2y = 10;

x - y = 13

(a)  

39.

What is the solution to this system of equations:

-7x + 4y = 24;

4x - 4y = 0

(a)  

40.

Solve this system of equations:

x + 7y = 0;

2x - 8y = 22

(a)  

41.
When you graph the exact same equation twice,
a)
you will have no solution. 
b)
you will have one solution.
c)
you will have infinite solutions. 
d)
you will graph a giraffe. 
42.
Which graph represents x=2?
a)
A
b)
B
c)
C
d)
D
43.
Parallel Lines never intersect because...
a)
they have the same slopes. 
b)
they have the same y-intercept.
c)
they have different slopes.
d)
they have different y-intercepts. 
44.
Which is the graph of y= -x + 2?
a)
A
b)
B
c)
C
d)
D
45.
a)
y = -1
b)
x = -1
46.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function 
47.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function
48.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
49.

If f(x)=3x+2f(x) = 3x + 2 , if x = 2x\ =\ 2 ?

a)

6

b)

8

c)

10

d)

12

50.

Solve for x.

a)

x = 56

b)

x = 8/7

c)

x = 24/7

d)

x = 168

51.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
52.
What is the solution to this system of equations?
a)
(4, -1)
b)
(-1, 4)
c)
(-4, 1)
d)
(-4, -1)
53.
a)
19
b)
-9
c)
-100
d)
-50
54.

Which of the following are true?

a)

1 > 2

b)

5 ≤ 5

c)

-9 > -10

d)

-10 < -9

e)

5 < 5

55.

Pick the correct letter for:
x > 6

a)
A
b)
B
c)
C
d)
D
56.
Greater than
a)
<
b)
>
c)
d)
57.
Less Than
a)
<
b)
>
c)
d)
58.
x is less than 9
a)
x < 9
b)
x > 9
c)
x ≥ 9
d)
x ≤ 9
59.
If f(x) = 3x - 7, find f(4).
a)
0
b)
5
c)
14
d)
19
60.

If f(x) = 2x + 1, what would be your first step to find f(1)?

a)

Plug a 1 in for all the x's

b)

Set the function equal to 1

c)

Only plug a 1 into the left side

d)

Only plug a 1 into the right side

61.

Annabert is going on a trip with Egbert, Ferdbertina, and Albert. Her car has a 14 gallon gas tank, and the car will use 0.5 gallons of gas per hour of this trip. What function accurately represents the given information?

a)

f(x)=14x - 0.5

b)

f(x)=0.5x+14

c)

f(x)=-0.5x + 14

d)

f(x)=-0.5

62.

Bethbert is printing fliers for the Bert Club at her high school. The local print shop charges a $12 flat rate plus $0.05 per flier. How could Bethbert form a function for this data?

a)

f(x)=12x+0.5

b)

f(x)=0.05x + 12

c)

f(x)=-0.05x + 12

d)

f(x)=0.05x

63.

What is the DOMAIN of this relation:

(a)  

64.

What is the RANGE of this relation:

(a)  

65.

What is the DOMAIN of the given relation:

(a)  

66.

What is the RANGE of the given relation:

(a)  

67.
Is this function linear or non linear?
a)
Linear
b)
Non Linear
68.
Is this function linear or non linear?
a)
Linear
b)
Non Linear
69.
Is this function linear or non linear?
a)
Linear
b)
Non Linear
70.

Is the function in the table linear or non-linear?

a)

Linear

b)

Non-Linear

71.

Write the set in Set Notation (Roster Form)

Z = {

a)
Z = {1,2,3,4,6,7}
b)

Z = {1,2}

c)

Z = (1,2,3,4,6,7)

d)

Z = {1,2,3,6,7}

72.

Write the set U (Universal set) in roster form.

U = {...

a)

U = {10}

b)

U = {10,12}

c)

U = {1,2,3,4,5,6,7,8,9,10,11,12}

73.

Write the set in Roster form:

Z  W = {...}Z\ \cup\ W\ =\ \left\{...\right\}

a)

1,2,3,4,5,6,7,8,9,10,11,12

b)

1,2,3,4,5,6,7,8,9

c)

1,2,3,5,6,7,8,9

d)

10,11,12

74.

Find Z  VZ\ \cap\ V

Z = {...

a)

6,7

b)

4,5,6

c)

4,6,7

d)

10,12

75.

Is VWV\subseteq W ?

a)

Yes

b)

No

76.

Is YWY\subseteq W ?

a)

Yes

b)

No

77.

What is the correct inequality for this graph?

a)

x > 5

b)

x < 5

c)

x5x\ge5

d)

x5x\le5

78.

What is the correct in equality for this graph?

a)

x > 3

b)

x < 3

c)

x3x\ge3

d)

x3x\le3

79.

What is the correct inequality for this graph?

a)

-2 > x

b)

x < -2

c)

x > 2

d)

x < 2

80.

What is the correct answer if I MULTIPLY these fractions:

2345=\frac{2}{3}\cdot\frac{4}{5}=

(a)  

81.

Multiple these fractions:

5242=\frac{5}{2}\cdot\frac{4}{2}=

(a)  

82.

Divide the fractions:

23÷34=\frac{2}{3}\div\frac{3}{4}=

a)

12\frac{1}{2}

b)

2

c)

98\frac{9}{8}

d)

89\frac{8}{9}

83.

Divide the fractions:

711÷35=\frac{7}{11}\div\frac{3}{5}=

a)

35

b)

33

c)

3335\frac{33}{35}

d)

3533\frac{35}{33}

84.

Solve the inequality:

32y>113-2y>11

a)

y < 4

b)

y < -4

c)

y > 4

d)

y > -4

85.

Solve the inequality:

24x3<6\frac{2-4x}{3}<6

a)

x > 4

b)

x < 4

c)

x > -4

d)

x < -4

86.

Solve the inequaltiy:

x2>1.5-\frac{x}{2}>1.5

a)

x < -3

b)

x > -3

c)

x < 3

d)

x > 3

87.

What inequality correctly labels this graph?

a)

1<x<2-1<x<2

b)

1<x2-1<x\le2

c)

1>x>2-1>x>2

d)

1x<2-1\le x<2

88.

What inequality correctly labels this graph?

a)

-2 < x < 1

b)

-2 > x > 1

c)

x < -2 OR x > 1

d)

x > -2 AND x < 1

89.

Find the X-Intercept:

y=2x+3y=2x+3

a)

(32,0)\left(\frac{3}{2},0\right)

b)

(32,0)\left(-\frac{3}{2},0\right)

c)

(0,32)\left(0,\frac{3}{2}\right)

d)

(0,32)\left(0,-\frac{3}{2}\right)

90.

Find the Y-Intercept:

2y+3x=142y+3x=14

a)

(0,7)

b)

(7,0)

c)

(0,-7)

d)

(-7,0)

91.

Write the answer in proper set-builder notation:

T is the set of all numbers that are bigger than 1

a)

T = {x|x>1}

b)

T = {1,2,3,4,...}

c)

T > 1

92.

Write the solution in proper set-builder notation:

S is the set of all integers that are smaller than 5 and bigger than -1

a)

S = {0,1,2,3,4}

b)

S = {-1 < x}

c)

S = {x1<x<5, W}S\ =\ \left\{x\left|-1<x<5,\ W\right|\right\}

d)

S = {x|-1 < x < 5}

93.

Which equation is in slope-intercept form?

a)

3x + 2y = 14

b)

y=32x+7y=-\frac{3}{2}x+7

c)

y - 1 = -3 (x - 1)

94.

Which equation is in point-slope form?

a)

y - 1 = -3 (x - 1)

b)

3x + 2y = 14

c)

y = 23x + 7y\ =\ -\frac{2}{3}x\ +\ 7

95.

Which equation is in standard form?

a)

y - 1 = -3 (x - 1)

b)

3x + 2y = 14

c)

y = 23x + 7y\ =\ -\frac{2}{3}x\ +\ 7

96.

Create an equation in slope-intercept form:

(0 , 1) and (2 , 4)

a)

y4=32(x2)y-4=\frac{3}{2}\left(x-2\right)

b)

y = 32x + 1y\ =\ \frac{3}{2}x\ +\ 1

c)

2x + 4y = 1

97.

Find the slope between the given points:

(-1 , 3) and (4 , 5)

a)

m = 25m\ =\ \frac{2}{5}

b)

m = 52m\ =\ \frac{5}{2}

c)

m = 5

d)

m = 2

98.

Find the slope between the two points:

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

a)

m = 52m\ =\ \frac{5}{2}

b)

m = 45m\ =\ -\frac{4}{5}

c)

m = 45m\ =\ \frac{4}{5}

d)

m = 52m\ =\ -\frac{5}{2}

99.

Which Property is being used:

a+(b+c)=(a+b)+ca+(b+c)=(a+b)+c

a)

Associative Property of Multiplication

b)

Commutative Property of Addition

c)

Commutative Property of Multiplication

d)

Associative Property of Addition

100.

144=1\frac{1}{4}\cdot4=1

a)

False

b)

True

101.

When two lines have the same slope but different y-intercepts,

a)

they form a right angle.

b)

they intersect at one point.

c)

they are the same line.

d)

they are parallel and never intersect.

102.

Which graph correctly represents the given data comparing student test scores to the amount of time spent studying?

a)

b)

c)

103.

What type of correlation would this data have?

a)

Strong positive correlation

b)

Strong negative correlation

c)

Weak positive correlation

d)

Weak negative correlation

104.

What is the meaning of a line of fit when talking about scatter plots?

a)

A line of fit is a line that divides our data into halves.

b)

A line of fit is a line that divides our data into halves that goes through two points on the graph.

c)

A line of fit is a line that goes through any 2 points on our scatter plot graph.

d)

A line of fit divides our data into halves, but DOES NOT need to go through any points on the graph.

105.

What is the meaning of a line of best fit when talking about scatter plots?

a)

A line of fit is a line that divides our data into halves.

b)

A line of fit is a line that divides our data into halves that goes through two points on the graph.

c)

A line of fit is a line that goes through any 2 points on our scatter plot graph.

d)

A line of fit divides our data into halves, but DOES NOT need to go through any points on the graph.

106.

Which would be the correct line of fit for this scatter plot?

a)

b)

c)

107.

Perpendicular lines have what type of slope?

a)

Same slope

b)

Opposite slopes

c)

Reciprocal slopes

d)

Opposite reciprocal slopes

108.

Find the slope of a line that is perpendicular to the given line:

y = 2x + 1

a)

m = 2

b)

m = -2

c)

m = 12m\ =\ \frac{1}{2}

d)

m = 12m\ =\ -\frac{1}{2}

109.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
110.
Which line has a positive slope?
a)
pink
b)
green
c)
blue
d)
neither
111.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
112.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
113.

What is the slope of the line graphed?

a)

-5

b)

undefined

c)

0

d)

5

114.
What type of correlation is shown in this plot?
a)
Positive
b)
Negative
c)
No Correlation
115.

What type of correlation?

a)

Positive Correlation

b)

Negative Correlation

c)

No Correlation

116.
a)
Positive correlation
b)
Negative correlation
c)
No correlation
117.

Find the equation that corresponds to the graph.

a)

y = -3/4x + 4

b)

y = 4/3x + 4

118.
Which equation represents the graph pictured?
a)
y = 1x + 3
b)
y = 3x + 1
c)
y = 1/3x + 1
d)
y = -3x + 1
119.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
120.
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
121.
Are the equations parallel, perpendicular, or neither?
a)
Parallel
b)
Perpendicular
c)
Neither
122.

Which variable is the independent variable?

a)

X

b)

Y

123.

Which variable is the dependent variable?

a)

X

b)

Y

124.

Write an equation in SLOPE INTERCEPT FORM:

(1 , 1) and (3 , 5)

a)

y - 1 = 2(x - 1)

b)

y = 12x + 1y\ =\ \frac{1}{2}x\ +\ 1

c)

y = 2x - 1

d)

y = 2x + 1

125.

Write an equation in SLOPE INTERCEPT FORM:

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

a)

y = 43x + 53y\ =\ -\frac{4}{3}x\ +\ \frac{5}{3}

b)

y = -4x + 3

c)

y = 43x +2y\ =\ \frac{4}{3}x\ +2

d)

m = 43m\ =\ -\frac{4}{3}

126.

Graph the inequality:

y > x + 1

a)

b)

c)

d)

127.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
128.
Which of the following equations match the given graph?
a)
y  < 2/5x + 1
b)
y ≥ -2/5x + 1
c)
y ≤  2/5x + 1
d)
y ≥ -2/5x - 1
129.
Select the graph for y >  -2x - 3
a)
A
b)
B
c)
C
d)
D
130.

Tell me the correct answer using the context of the question.

a)

x = 16

b)

16 pounds

c)

16 pounds of snickerdoodle cookies

d)

16 pounds of chocolate chip cookies

131.

Tell me the answer using the context from the question.

a)

19 ounces

b)

19.2 ounces

c)

19.2 ounces of skim milk

d)

19.2 ounces of whole milk

132.

Solve for y:

2x - 3y > 6

a)

y > 23x  2y\ >\ \frac{2}{3}x\ -\ 2

b)

y < 23x  2y\ <\ \frac{2}{3}x\ -\ 2

c)

y < 23x  2y\ <\ -\frac{2}{3}x\ -\ 2

d)

y > 23x  2y\ >\ -\frac{2}{3}x\ -\ 2

133.

Solve the system of equations:

4x - y = 7

3x + 2y = 19

(a)