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WorksheetsBAM 6th PreAP Equations and Inequalities
Total questions: 128
Worksheet time: 6hrs 21mins
Name
Class
Date
1.
A hummingbird weighed w ounces. One day the hummingbird drank 8 times its weight in water and ate half its weight in food. Which equation can be used to find t, the combined weight of the water and the food, in ounces, that the hummingbird had on this day?
a)
F/A
b)
G/B
c)
H/C
d)
J/D
2.
The model below represents the equation . What is the value of x?
a)
A x = -7
b)
B x = -5
c)
C x = 2
d)
D x = 9
3.
A skateboard is on sale for $65. This is $5 less than the original price. Which equation can NOT be used to find the original price?
a)
A 65 + 5 = t
b)
B t + 5 = 65
c)
C 65 = t - 5
d)
D t -5 = 65
4.
Which of the following situations can be represented by the equation,
20 = x + 4?
20 = x + 4?
a)
A Savannah’s book cost $4.00 more than Daniel’s. If Savannah’s book costs $20.00, how much did Daniel’s book cost?
b)
B Brett’s brother has four times the amount of DVDs that Brett has. If Brett has 20, how many does his brother have?
c)
C Eric is four years younger than his sister Kayla. If Eric is 20, how old is Kayla?
d)
D Arianna’s bracelet cost four times the amount of her mother’s bracelet. If Arianna’s bracelet cost $20, what was the cost of her mother’s?
5.
Determine a solution to the equation
3⁄8 + x = 0.675
3⁄8 + x = 0.675
a)
A x = -1⁄3
b)
B x = 1⁄3
c)
C x = - 0.3
d)
D x = 0.3
6.
Determine a solution to the equation
3⁄8 - x = 0.675
3⁄8 - x = 0.675
a)
A x = 0.3
b)
B x = -0.3
c)
C x = 1⁄3
d)
D x = -1⁄3
7.
Terrell bought four movie tickets for himself and his friends. He spent a total of $30. Select the equation below that represents the cost per ticket, t, and graphs the solution on a number line.
a)
A
b)
B
c)
C
d)
D
8.
Given the model below solve for m.
a)
A m = -9
b)
B m = -15
c)
C m = 4
d)
D m = -4
9.
Vanessa receives $7.50 each week for allowance. Which equation can be used to find the number of weeks Vanessa must save her allowance in order to buy a bicycle that costs $90?
a)
A
b)
B
c)
C
d)
D
10.
It takes Kelly 16 minutes to fold a load of laundry. Which equation shows the number of minutes m it takes to fold x loads of laundry?
a)
A
b)
B
c)
C
d)
D
11.
Which situation can be represented by the equation x + 10 = 68?
a)
A The average height of an adult is 68 inches. This is 10 inches less than the average sixth grader. What is the average height of a sixth grader?
b)
B The average height of an adult is 68 inches. This is 10 inches more than the average sixth grader. What is the average height of a sixth grader?
c)
C The average height of an adult is 10 inches. This is 68 inches more than the average sixth grader. What is the average height of a sixth grader?
d)
D The average height of an adult is 10 inches. This is 68 inches less than the average sixth grader. What is the average height of a sixth grader?
12.
The model below represents the equation
3x = 15.
Which step describes how to solve this equation?
3x = 15.
Which step describes how to solve this equation?
a)
A Divide the beans among 2 of the cups
b)
B Subtract 2 cups from the left side
c)
C Put 3 beans into each cup
d)
D Divide the beans equally among the cups
13.
Which algebraic equation represents the phrase “9 decreased by a number is 16?”
a)
A n + 9 = 16
b)
B 9 ÷ n = 16
c)
C 9 - n = 16
d)
D 9n = 16
14.
Which equation is modeled below?
a)
A x - 15 = 24
b)
B x + 15 = 24
c)
C 24 + x = 15
d)
D 24 ÷ x = 15
15.
Solve the equation:
-5x = 25
-5x = 25
a)
A x = 20
b)
B x = -20
c)
C x = -5
d)
D x = 5
16.
19 + a = -50
a)
A a = -950
b)
B a = -69
c)
C a = -31
d)
D a = -50/19
17.
x - 8 = -5
a)
A 13
b)
B -13
c)
C 3
d)
D -3
18.
x + 12 = 20
a)
A x = 32
b)
B x = -32
c)
C x = 8
d)
D x = -8
19.
6b = 30
a)
A x = 36
b)
B x = 24
c)
C x = 180
d)
D x = 5
20.
-4y = 48
a)
A x = -52
b)
B x = -12
c)
C x = -44
d)
D x = -13
21.
Solve the equation
3x = 27.
3x = 27.
a)
A x = 24
b)
B x = 81
c)
C x = 9
22.
Solve for x:
a)
A x = 20
b)
B x = 7
c)
C x = 10
d)
D x = 3
23.
Which equation has x = 5 as the solution?
a)
A x + 15 = 10
b)
B 2x = 5
c)
C 2x = 10
24.
18+m=8
a)
A m=0
b)
B m=10
c)
C m=-10
d)
D m=8
25.
-16+ x= -15
a)
A 2
b)
B 0
c)
C -1
d)
D 1
26.
-7b=49
a)
A B=7
b)
B B=-7
c)
C B=2
27.
Solve the equation below:
a)
A k = 152
b)
B k = 176
c)
C k = 5
d)
D k = 27
28.
144=12z
a)
A z=20
b)
B z=11
c)
C z=12
d)
D k = 27
29.
-4y = 48
a)
A x = -52
b)
B x = -12
c)
C x = -44
d)
D x = -13
30.
Solve the equation
3x = 27.
3x = 27.
a)
A x = 24
b)
B x = 81
c)
C x = 9
31.
What is the inverse operation needed to solve for p?
765 = p - 254
765 = p - 254
a)
A subtraction
b)
B addition
c)
C multiplication
d)
D division
32.
x - 62 = 123
How should you show your work to isolate the variable and solve the equation?
How should you show your work to isolate the variable and solve the equation?
a)
A Add 62 to each side.
b)
B Subtract 62 from each side.
c)
C Multiply each side by 62.
d)
D Add 123 to each side.
33.
x - 8 = -5
a)
A 13
b)
B -13
c)
C 3
d)
D -3
34.
19 + a = -50
a)
A a = -950
b)
B a = -69
c)
C a = -31
d)
D a = -50/19
35.
Solve the equation:
-5x = 25
-5x = 25
a)
A x = 20
b)
B x = -20
c)
C x = -5
d)
D x = 5
36.
What is the inverse operation needed to solve for p?
765 = p - 254
765 = p - 254
a)
A subtraction
b)
B addition
c)
C multiplication
d)
D division
37.
Solve the equation:
x - 5.5 = 10.5
x - 5.5 = 10.5
a)
A x = 16
b)
B x = -15
c)
C x = 5
d)
D x = -5
38.
What equation matches this situation?
Robyn had some video games then bought 4 more. Now she has a total of 10 games.
Robyn had some video games then bought 4 more. Now she has a total of 10 games.
a)
A v - 4 = 10
b)
B v + 4 = 10
c)
C 10 - 4 = v
d)
D Answer not Given
39.
Which equation has x = 5 as the solution?
a)
A x + 15 = 10
b)
B 2x = 5
c)
C 2x = 10
40.
x - 62 = 123
How should you show your work to isolate the variable and solve the equation?
How should you show your work to isolate the variable and solve the equation?
a)
A Add 62 to each side.
b)
B Subtract 62 from each side.
c)
C Multiply each side by 62.
d)
D Add 123 to each side.
41.
What is the inverse operation needed to solve for p?
765 = p - 254
765 = p - 254
a)
A subtraction
b)
B addition
c)
C multiplication
d)
D division
42.
How many small squares are needed to balance one rectangle?
a)
A 8
b)
B 6
c)
C 4
d)
D 9
43.
How many small squares are needed to balance one rectangle?
a)
A 6
b)
B 5
c)
C 3
d)
D 2.5
44.
How many small squares are needed to balance one rectangle?
a)
A 3
b)
B 4.5
c)
C 1.5
d)
D 2
45.
Solve for the missing variable:
a)
A x = -7
b)
B x = 7
c)
C x = 21
d)
D x = 14
46.
Solve for the missing variable:
a)
A 21
b)
B 61
c)
C - 20
d)
D 24
47.
Solve for the missing variable:
a)
A f = 19
b)
B f = 31
c)
C f = 12
d)
D f = 50
48.
Solve for the missing variable:
a)
A y = 7
b)
B y = 6
c)
C y = 1/6
d)
D y = 8
49.
Solve for the missing variable:
a)
A m = 5
b)
B m = 1/5
c)
C m = 25
d)
D m = 55
50.
Solve.
7 = a - 5
7 = a - 5
a)
A 2
b)
B -2
c)
C 12
d)
D -12
51.
Solve.
y + 4 = 2
y + 4 = 2
a)
A 6
b)
B -6
c)
C 2
d)
D -2
52.
Solve.
8j = -16
8j = -16
a)
A -128
b)
B -2
c)
C -24
d)
D -8
53.
Solve.
-100 = -4u
-100 = -4u
a)
A -25
b)
B 25
c)
C 400
d)
D -104
54.
Solve.
c/4 = -20
c/4 = -20
a)
A -5
b)
B -24
c)
C -80
d)
D -16
55.
Solve.
s/-9 = -9
s/-9 = -9
a)
A 81
b)
B 1
c)
C 0
d)
D -18
56.
Translate the following sentence into an equation.
The sum of -47 and a number d is 84
The sum of -47 and a number d is 84
a)
A -47 - d = 84
b)
B 84 + (-47) = d
c)
C -47 + d = 84
d)
D d + 84 = -47
57.
Translate the following sentence into an equation.
The product of 8 and a number q is -40
The product of 8 and a number q is -40
a)
A 8 + q = -40
b)
B 8 - q = -40
c)
C q/8 = -40
d)
D 8q = -40
58.
The temperature in Minnesota was -8°F one day. This was 12 degrees less than the temperature in Indiana on the same day. What was the temperature in Indiana on that day?
Write an equation to model this scenario.
Write an equation to model this scenario.
a)
A n - 12 = -8
b)
B -8 - 12 = n
c)
C n + 12 = -8
d)
D n/12 = -8
59.
how would you solve this equation: 9x=153?
a)
A multiply by 9
b)
B divide by 9
c)
C add 9
d)
D subtract 9
60.
Which equation has x = 5 as the solution?
a)
A x + 15 = 10
b)
B 2x = 5
c)
C 2x = 10
61.
What equation matches this situation?
Robyn had some video games then bought 4 more. Now she has a total of 10 games.
Robyn had some video games then bought 4 more. Now she has a total of 10 games.
a)
A v - 4 = 10
b)
B v + 4 = 10
c)
C 10 - 4 = v
d)
D Answer not Given
62.
x - 62 = 123
How should you show your work to isolate the variable and solve the equation?
How should you show your work to isolate the variable and solve the equation?
a)
A Add 62 to each side.
b)
B Subtract 62 from each side.
c)
C Multiply each side by 62.
d)
D Add 123 to each side.
63.
more than
a)
<
b)
>
c)
≤
d)
≥
64.
Fewer Than
a)
<
b)
>
c)
≤
d)
≥
65.
No More Than
a)
<
b)
>
c)
≤
d)
≥
66.
At Least
a)
<
b)
>
c)
≤
d)
≥
67.
At Most
a)
<
b)
>
c)
≤
d)
≥
68.
less than or equal to
a)
<
b)
>
c)
≤
d)
≥
69.
Less Than
a)
<
b)
>
c)
≤
d)
≥
70.
Not Below
a)
<
b)
>
c)
≤
d)
≥
71.
Below
a)
<
b)
>
c)
≤
d)
≥
72.
No Fewer Than
a)
<
b)
>
c)
≤
d)
≥
73.
maximum
a)
<
b)
>
c)
≤
d)
≥
74.
Not Exceeding
a)
<
b)
>
c)
≤
d)
≥
75.
Above
a)
<
b)
>
c)
≤
d)
≥
76.
greater than or equal to
a)
<
b)
>
c)
≤
d)
≥
77.
is no less than
a)
<
b)
>
c)
≤
d)
≥
78.
minimum
a)
<
b)
>
c)
≤
d)
≥
79.
Not Above
a)
<
b)
>
c)
≤
d)
≥
80.
Exceeding
a)
<
b)
>
c)
≤
d)
≥
81.
Greater than
a)
<
b)
>
c)
≤
d)
≥
82.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥
b)
<, >
83.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
11 ≤ a
d)
11 ≥ a
84.
Pick the correct letter for:
6 > x
6 > x
a)
A
b)
B
c)
C
d)
D
85.
Solve the inequality.
x + 5 ≤ 13
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8
d)
x ≤ 18
86.
Write an expression.
Anita needs at least an 90 grade (g) on her test to get an A in math class.
Anita needs at least an 90 grade (g) on her test to get an A in math class.
a)
g ≤ 90
b)
g ≥ 90
c)
g < 90
d)
g > 90
87.
Solve the inequality.
30 + n ≥ 50
30 + n ≥ 50
a)
x > 50
b)
x > 80
c)
x < 30
d)
x > 20
88.
Is x = 9 a solution to the given inequality.
x > 9
x > 9
a)
TRUE
b)
FALSE
89.
Is x = 12 a given solution to the inequality.
x > 5
x > 5
a)
TRUE
b)
FALSE
90.
Is the following item an expression, equation, or inequality.
13 + 6
13 + 6
a)
Expression
b)
Equation
c)
Inequality
91.
Is the following item an expression, equation, inequality.
h ≥ 27
h ≥ 27
a)
Expression
b)
Equation
c)
Inequality
92.
What inequality does the number line graph represent.
a)
x < 2
b)
x > 2
c)
x ≥ 2
d)
x ≤ 2
93.
Will my dot be colored in?
5 ≥ x
5 ≥ x
a)
Yes
b)
No
94.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
95.
x − 7 ≤ 5
a)
x ≤ 12
b)
x ≥ 12
c)
x ≥ -2
d)
x ≤ -2
96.
8x > 42
a)
x > 5.25
b)
x > 5
c)
x >5.5
d)
x > 336
97.
x/6 ≥ 2.5
a)
x ≥ 15
b)
x ≥ 2.4
c)
x ≥ 8.5
d)
x ≥ 3.5
98.
x + (-6) < -3
a)
x > -3
b)
x < -3
c)
x < 3
d)
x > 3
99.
x − 7 ≥ -12
a)
x ≤ 5
b)
x ≤ -5
c)
x ≥ 5
d)
x ≥ -5
100.
-9x < -513
a)
x > -4617
b)
x > 4617
c)
x > 57
d)
x < 57
101.
Jane had some money. She spent $7 on snacks. Now she has more than $12. Write an inequality to determine how much money she started with?
a)
x − 7 > 12
b)
x + 7 > 12
c)
x − 7 ≥ 12
d)
x + 7 ≥ 12
102.
Which is the solution of
-6a ≥ -36
-6a ≥ -36
a)
a ≥ 6
b)
-6 ≥ a
c)
a ≤ 6
d)
6 ≤ a
103.
≥
what does the line under the symbol above mean?
what does the line under the symbol above mean?
a)
less than
b)
it does not mean anything
c)
equal to
d)
greater than
104.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
105.
Solve the inequality.
a)
x ≤ 6
b)
x ≥ 6
c)
x ≤ -6
d)
x ≥ -6
106.
c - 7 > 8
a)
c < 15
b)
c > 15
c)
c < - 15
d)
c >, = 15
107.
10 ≥ x - 3
a)
x ≤ 13
b)
x ≥ 13
c)
x ≤ 7
d)
x ≥ 7
108.
Solve the inequality.
x + 5 ≤ 13
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8
d)
x ≤ 18
109.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
11 ≤ a
d)
11 ≥ a
110.
Fill in the blank
-4 ____-1
-4 ____-1
a)
<
b)
>
c)
=
111.
a)
x<-8
b)
x≥-8
c)
x>-8
d)
x≤-8
112.
a)
x>9
b)
x≤9
c)
x<9
d)
x≥9
113.
What inequality does the number line graph represent?
a)
x ≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ -3
114.
What inequality does the number line graph represent?
a)
x ≤ 4
b)
x ≥ -4
c)
x < -4
d)
x < 4
115.
What inequality does the number line graph represent?
a)
x ≤ 4
b)
x ≥ -4
c)
x < -4
d)
x < 4
116.
a)
a
b)
b
c)
c
d)
d
117.
a)
b
b)
c
c)
d
d)
e
118.
a)
a
b)
b
c)
c
d)
d
119.
a)
-49
b)
-17
c)
39
120.
a)
a
b)
b
c)
c
d)
d
121.
a)
a
b)
b
c)
c
d)
d
122.
a)
a
b)
b
c)
c
d)
d
123.
a)
a
b)
b
c)
c
d)
d
124.
a)
a
b)
b
c)
c
125.
a)
a
b)
b
c)
c
d)
d
126.
a)
a
b)
b
c)
c
d)
d
127.
a)
a
b)
b
c)
c
d)
d
128.
a)
a
b)
b
c)
c
d)
d
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