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WorksheetsEquations and Inequalities TEST
Total questions: 30
Worksheet time: 2hrs 38mins
Name
Class
Date
1.
x - 8 = -5
a)
13
b)
-13
c)
3
d)
-3
2.
x + 12 = 20
a)
x = 32
b)
x = -32
c)
x = 8
d)
x = -8
3.
6x = 30
a)
x = 36
b)
x = 24
c)
x = 180
d)
x = 5
4.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
5.
Which equation has x = 5 as the solution?
a)
x + 15 = 10
b)
2x = 5
c)
2x = 10
6.
Figure out what n equals in this equation:
6n + 4 = -26
6n + 4 = -26
a)
n=-6
b)
n= -5
c)
n= 8
d)
n= -4
7.
Solve 7y - 4 = -11
a)
1
b)
2
c)
-1
d)
-2
8.
x / 2 - 5 = 3
a)
x = -2
b)
x = 2
c)
x = 16
d)
x = 8
9.
Solve for w:
-6w + 1 = -11
-6w + 1 = -11
a)
2
b)
1.2
c)
12
d)
-2
10.
Solve -5t + 9 = 24
a)
-3
b)
3
c)
12
11.
WRITE AN EQUATION
331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?
331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?
a)
331=7x+6
b)
331=13x
c)
331=6x+7
d)
331-7=6x
12.
WRITE AN EQUATION
Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?
Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?
a)
24-10=7x
b)
24-7x=10
c)
10+7x=24
d)
10+x=14
13.
WRITE AN EQUATION
You bought a $5 magazine and four
erasers. You spent a total of $25. How
much did each eraser cost?
You bought a $5 magazine and four
erasers. You spent a total of $25. How
much did each eraser cost?
a)
5+x=25
b)
5+4x=25
c)
5x=25
d)
23-5=4x
14.
Three desks and a bookcase together weigh 157 pounds. The bookcase weighs 34 pounds. Which equation could help me find out how much each desk weighs?
a)
34 + 3 = 157
b)
34x + 3 = 157
c)
3x + 34 = 157
d)
x + 34 = 157
15.
Zorna weighs 92 pounds. Her weight is 6 pounds more than half of her father's weight. Which equation would help me find out how much her father weighs?
a)
6x + 2 = 92
b)
x + 6 = 92
c)
2x + 6 = 92
d)
x/2 + 6 = 92
16.
Solve:
n - 2 ≤ 4
n - 2 ≤ 4
a)
n ≤ 2
b)
n ≤ 6
c)
n ≥ 6
17.
Solve:
4x ≥ -20
4x ≥ -20
a)
x ≥ -5
b)
x ≤ -5
c)
x ≥ -16
18.
Solve:
r + 13 < 9
r + 13 < 9
a)
r > -4
b)
r < -4
c)
r < 22
19.
Solve:
b/2 < 7
b/2 < 7
a)
b < 14
b)
b < 3.5
c)
b < 5
20.
If an inequality has a < or >, how do you graph the point on the graph?
a)
As an open circle
b)
As a closed circle
21.
Solve the following inequality:
3x + 4 > 13
3x + 4 > 13
a)
x > 1
b)
x > 3
c)
x = 3
d)
x < 5
22.
4x - 2 ≤ -22
a)
x ≥ -5
b)
x ≥ -6
c)
x ≤ -6
d)
x ≤ -5
23.
Simplify 6(x + -2)
a)
6x + -2
b)
6x + -12
c)
4x
d)
6x - 2
24.
a)
A
b)
B
c)
C
d)
D
25.
a)
A
b)
B
c)
C
d)
D
26.
a)
A
b)
B
c)
C
d)
D
27.
you must be at least 48 inches to ride the roller coaster.
a)
x > 48
b)
x < 48
c)
x ≤ 48
d)
x ≥ 48
28.
You can spend no more than 20 dollars on your mom's birthday present.
a)
x > 20
b)
x < 20
c)
x ≤ 20
d)
x ≥ 20
29.
Which word problem represents the inequality:
x + 32 ≥ 80
(Show work by writing down inequality clue words.)
x + 32 ≥ 80
(Show work by writing down inequality clue words.)
a)
Janine's goal is to earn at least $80 for soccer camp. She has earned $32 so far. How much more does she need to earn?
b)
Janine made more than 80 points during the basketball season. She made 32 points the first five games. How much did she score the rest of the games?
c)
Janine scored above an 80 on her math homework. But, she turned her work in late and was deducted 32 points. What did she make after the deduction?
30.
The vet told Casey that her dog should weigh at most 70 lbs. Her dog weighs 106 pounds, so Casey set a goal that he would lose 4 pounds per week. Which inequality represents the number of weeks it take for Casey's dog to reach 70 lbs?
a)
106 - 4x ≤ 70
b)
70 + 4x ≤ 106
c)
4x - 106 ≥ 70
d)
106 - 4x< 70
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