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WorksheetsL-UNIT 2- L6-Model and Solve Two-Step Inequalities
Total questions: 60
Worksheet time: 5hrs 0mins
Name
Class
Date
1.
Write the equation for the model.
a)
10=2-x
b)
-10=-x+2
c)
-10=x-2
d)
-10=x+2
2.
Solve the equation.
a)
x=8
b)
x=-8
c)
x=-10
d)
x=-12
3.
Write the equation for the model.
a)
-3x=18
b)
3=-18
c)
3x=18
d)
3x=-18
4.
3c + 5 = 23
a)
c = 3
b)
c = 6
c)
c = 7
d)
c = 18
5.
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
6.
In the equation 4y +-9 =-36
y = -4
y = -4
a)
True
b)
francine
c)
False
7.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥
8.
Pick the correct letter for:
6 > x
6 > x
a)
A
b)
B
c)
C
d)
D
9.
Solve and graph the inequality.
(x+8)/7 > 2
(x+8)/7 > 2
a)
A
b)
B
c)
C
d)
D
10.
Solve and graph the inequality.
(x - 7) / 2 < -13
(x - 7) / 2 < -13
a)
A
b)
B
c)
C
d)
D
11.
Solve and graph the inequality.
(5 + a) / 7 ≤ 2
(5 + a) / 7 ≤ 2
a)
A
b)
B
c)
C
d)
D
12.
Solve and graph the inequality.
-10 ≤ -6 + (k/2)
-10 ≤ -6 + (k/2)
a)
A
b)
B
c)
C
d)
D
13.
Solve and graph the inequality.
77 ≤ 5 + 8n
77 ≤ 5 + 8n
a)
A
b)
B
c)
C
d)
D
14.
Solve and graph the inequality.
-169 ≤ 8m - 9
-169 ≤ 8m - 9
a)
A
b)
B
c)
C
d)
D
15.
Solve and graph the inequality.
-8 > (1 + k)/2
-8 > (1 + k)/2
a)
A
b)
B
c)
C
d)
D
16.
Solve and graph the inequality.
(n + 4)/8 < -2
(n + 4)/8 < -2
a)
A
b)
B
c)
C
d)
D
17.
Solve and graph the inequality.
(-6 + n)/2 > 5
(-6 + n)/2 > 5
a)
A
b)
B
c)
C
d)
D
18.
Solve and graph the inequality.
-3 ≥ (n/3) - 7
-3 ≥ (n/3) - 7
a)
A
b)
B
c)
C
d)
D
19.
Solve and graph the inequality.
7n - 1 > 76
7n - 1 > 76
a)
A
b)
B
c)
C
d)
D
20.
Solve and graph the inequality.
3 + 9k > 111
3 + 9k > 111
a)
A
b)
B
c)
C
d)
D
21.
Solve and graph the inequality.
-176 > 9v - 5
-176 > 9v - 5
a)
A
b)
B
c)
C
d)
D
22.
The cost of downloading a song is $1.29 for the first song and $0.80 for each additional song. How many songs can you download for under $10? Which inequality represents this situation?
a)
1.29s + 0.80 < 10
b)
1.29s + 0.80 > 10
c)
1.29 + 0.80s < 10
d)
1.29 + 0.80s > 10
23.
Jessica has $10 to spend at Target. She wants to buy some candy bars that cost $1.50 and one t-shirt that costs $6. What is the maximum number of candy bars she can buy? Which inequality can be used to solve this?
a)
2; 1.50 + 6c = 10
b)
2; 1.50c + 6 < 10
c)
2; 1.50 + 6c < 10
d)
3; 1.50c + 6 < 10
24.
The maximum score on the pilot's test is 95 points.
a)
p < 95
b)
p > 95
c)
p ≥ 95
d)
p ≤ 95
25.
Translate into an inequality: Six less than double a number is less than 18.
a)
6 - 2x < 18
b)
6 - 2 - x = -18
c)
6 - 2x ≤ 18
d)
2x - 6 < 18
26.
You flip an inequality symbol when you...
a)
subtract
b)
multiply and divide only
c)
multiple by a negative number
d)
multiple or divide by a negative number
27.
-3y + 2 > 11 Solve for y
a)
y < -3
b)
y > -3
c)
y < 3
d)
y > 3
28.
When graphing b < 6 would you use an open or closed circle?
a)
Open
b)
closed
29.
You flip an inequality symbol when you...
a)
subtract
b)
multiply and divide only
c)
multiple by a negative number
d)
multiple or divide by a negative number
30.
Do I need to flip my sign?
-3x ≥ 12
-3x ≥ 12
a)
Yes
b)
No
31.
Solve: 2- 3x ≤ 20
a)
x ≥ -6
b)
x ≤ -6
c)
x ≤ -7
d)
x ≥ -7
32.
Solve and Graph
a)
A
b)
B
c)
C
d)
D
33.
Translate into a correct inequality: Six increased by twice a number is no more than 20.
a)
6x + 2 ≥20
b)
6x + 2 > 20
c)
6 - 2x ≤20
d)
6 + 2x ≤20
34.
Solve for k.
7k – 2 ≥ -9
7k – 2 ≥ -9
a)
k ≤ -1
b)
k≤1
c)
k≥1
d)
k ≥ -1
35.
Solve for k.
2k - 9≤ -19
2k - 9≤ -19
a)
k ≤ -5
b)
k ≤ 5
c)
k < -5
d)
k < 5
36.
Solve for u.
u/7 – 1 ≤ 1
u/7 – 1 ≤ 1
a)
14≥u
b)
14≤u
c)
u≤14
d)
u ≤ -14
37.
-3y + 2 > 11
a)
y < -3
b)
y > -3
c)
y < 3
d)
y > 3
38.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
11 ≤ a
d)
11 ≥ a
39.
a)
A.
b)
B.
c)
C.
d)
D.
40.
a)
A.
b)
B.
c)
C.
d)
D.
41.
a)
A.
b)
B.
c)
C.
d)
D.
42.
a)
a
b)
b
c)
c
d)
d
43.
What is the first step to solve this equation:
11 - 3x = 44
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
44.
Solve 2y - 4 = -10
a)
y = -7
b)
y = 3
c)
y = -3
d)
y = 7
45.
3c + 5 = 23
a)
c = 3
b)
c = 6
c)
c = 7
d)
c = 18
46.
Solve
a)
5
b)
-6
c)
6
d)
21
47.
Solve -5t + 9 = 24
a)
-3
b)
3
c)
12
48.
What is the first step in solving the equation?
a)
Add 4 to each side
b)
Subtract 4 from each side
c)
Subtract 2y from each side
d)
Divide each side by 2y
49.
The steps in solving 5b - 6 = 24 are:
a)
Add 6 to both sides and divide both sides by 5
b)
Add 6 to both sides and multiply both sides by 5
c)
Subtract 6 from both sides then multiply both sides by 5
d)
Subtract 6 from both sides then divide both sides by 5
50.
What is a 1-step problem?
a)
A problem where multiple operations are present.
b)
A problem where the variable is missing.
c)
An equation where only one step is needed to solve it.
d)
An equation where two steps are needed to solve it.
51.
What is a 2-step problem?
a)
An equation where 2 steps are needed to solve it.
b)
An equation where only one step is needed to solve it.
c)
A problem with only one operation present.
d)
A problem where you find the square-root of a number.
52.
x - 10 = 12
a)
22
b)
-22
c)
2
d)
-2
53.
12 + z = 15
a)
-3
b)
3
c)
-27
d)
27
54.
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)
v - 4 = 10
b)
v + 4 = 10
c)
10 - 4 = v
d)
Answer not Given
55.
Hillary spends 3 times as much money on pencils now as she did last year. If she spends $6.00 on pencils now, how much did she spend on pencils last year?
a)
6x = 3
b)
x/6 = 3
c)
x/3 = 6
d)
3x = 6
56.
22 < 6c + 4
a)
11>c
b)
3>c
c)
11<c
d)
3<c
57.
-9a - 1 < 26
a)
a<-3
b)
a<3
c)
a>-3
d)
a>3
58.
Pick the correct letter for:
6 > x
6 > x
a)
A
b)
B
c)
C
d)
D
59.
Will be circle be open or closed?
-5x ≤ -25
-5x ≤ -25
a)
Open
b)
Closed
60.
3 (m + 7) < 28
a)
m < 7 / 3
b)
m < 3 / 7
c)
m < 7
d)
m < 21
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