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WorksheetsSolving Multi-Step Linear Equations and Inequalities
Total questions: 25
Worksheet time: 42mins
Name
Class
Date
1.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
2.
-2 (x+2) < 14
a)
x < - 5
b)
x > -5
c)
x < -9
d)
x > -9
3.
-4x -7 ≥ 21
a)
x ≤ -7
b)
x ≥ -7
c)
x ≤ 8
d)
x ≤ -8
4.
10 < 3x + 19
a)
x < 3
b)
x > 3
c)
x < -3
d)
x > -3
5.
Match the graph with its inequality.
a)
a > 11
b)
a < 11
c)
a ≥ 11
d)
a ≤ 11
6.
Pick the correct letter for:
6 > x
6 > x
a)
A
b)
B
c)
C
d)
D
7.
3x - 5 > -26
a)
x > 31/3
b)
x > -7
c)
x > -28
d)
∞
8.
-8b - 8 > 56
a)
b > 6
b)
b < -8
c)
b > -8
d)
b > 7/2
9.
6(n + 2) < -72
a)
n < -14
b)
n < 35/3
c)
n < -10
d)
∞
10.
55c + 13 ≤ 75c + 39
a)
c≤10/13
b)
c ≥ −13/10
c)
-c>19
d)
c≤50/80
11.
30b + 53 ≥ 18b − 83
a)
b≥−34/3
b)
b≥-14 2/3
c)
b>8
d)
-b<12
12.
54x + 64 ≥ 49x + 59
a)
x≥−1
b)
x≤-1
c)
x>9
d)
x<-3
13.
-2 (x+2) < 14
a)
x < - 5
b)
x > -5
c)
x < -9
d)
x > -9
14.
Solve:
3(x - 2) < 2(x + 9)
3(x - 2) < 2(x + 9)
a)
x<24
b)
x>12
c)
x<12
d)
x>24
15.
Solve:
11x + 16 < 43 + 2x
11x + 16 < 43 + 2x
a)
x < 5
b)
x < 3
c)
x > 5
d)
x > 3
16.
Solve:
14x + 12 < 9x -3
14x + 12 < 9x -3
a)
x < -3
b)
x < 5
c)
x < -5
d)
x > 3
17.
Solve:
7(x + 3) < 5x + 13
7(x + 3) < 5x + 13
a)
x>-4
b)
x < 17
c)
x<-4
d)
x > -17
18.
Solve:
4(2a + 3) < 3(a - 1)
4(2a + 3) < 3(a - 1)
a)
a<-3
b)
a>-3
c)
a<3
d)
a>3
19.
3(x-2)<3(x+9)
a)
x<21
b)
x>-33
c)
no solution
d)
all real numbers
20.
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
21.
Which is the solution of k/-12 ≤ -7?
a)
-84 ≥ k
b)
k ≤ 84
c)
k ≥ 84
d)
k ≥ -84
22.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥
23.
Solve the inequality.
(x/2) - 9 > -18
(x/2) - 9 > -18
a)
x>-9
b)
x<-18
c)
x>-18
d)
x>9
24.
Which choice describes the step needed to isolate the variable? (Tap outside of the gray box to see the equation.)
a)
Divide both sides by 11
b)
Multiply both sides by 11.
c)
Add 11 to both sides.
d)
Subtract 11 to both sides.
25.
What inequality symbol goes with is at least?
a)
<
b)
>
c)
≤
d)
≥
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