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6.6(2)Solving linear inequalities in one variable

Total questions: 16

Worksheet time: 50mins

Name
Class
Date
1.
Do I need to flip my sign?
-3x  ≥ 12
a)
Yes, because I'll be dividing by a negative number
b)
No, because you never flip the sign. 
2.

-4x + 1 > 21

a)

x > -5

b)

x < -5

c)

x > -80

d)

x < -80

3.

When solving the following inequality, what is the FIRST step you would do? -4x + 8 > -15

a)

Add 8 to both sides of the inequality.

b)

Divide by negative four on both sides of the inequality.

c)

Subtract negative eight to both sides of the inequality.

d)

Subtract eight to both sides of the inequality.

4.

Solve the following inequality and choose the best answer: 4x - 8 < -16

a)

The graph would be an open circle shading right of 2

b)

The graph would have a closed circle shading left of -2

c)

The graph would have an open circled shading left of -2

d)

The graph would have a closed circle shading right of 2

5.
Solve:
6x+10>5x-12
a)
x>2
b)
x<2
c)
x<-22
d)
x>-22
6.
Solve:
3(x - 2) < 2(x + 9)
a)
x<24
b)
x>12
c)
x<12
d)
x>24
7.
You want to spend at most $1200 on a new laptop.  If you make a $400 down payment, then pay the same amount every month for 12 months.  Which Inequality could be use to solve to find out how much you can pay each month.
a)
12x + 1200 > 400
b)
12x + 400 < 1200
c)
12x + 400 > 1200
d)
12x + 400 < 1200
8.
-3 − 6(4x + 6) > -111
a)
x > 3
b)
x < 3
c)
x < -3
d)
x > -3
9.
Sue's lunch account has $25 and she spends $2.50 every day. Troy's lunch account has $50 and she spends $3.25 every day. Write an inequality that shows when Sue's account will be more than Troy's.
a)
25 - 2.5d > 50 - 3.25d
b)
25 - 2.5d < 50 - 3.25d
c)
25 + 2.5d > 50 + 3.25d
d)
25 + 2.5d < 50 + 3.25d
10.

Which is the solution to the following inequality?

d - 5 > -4

-3

a)

d < 17

b)

d > 17

c)

d < 7

d)

d > -7

11.

What inequality does the number line graph represent?

a)

5x + 3 ≥ 18

b)

3x + 5 > 10

c)

2x - 8 < 14

d)

4x - 9 ≤ 3

12.

Solve the inequality.

8x - 2 < -2(5 - 4x)

a)

All real numbers

b)

No Solution

c)

x < -10

d)

There is one solution

13.

When k=_____,the inequality (k+3)k2>0\left(k+3\right)^{\left|k\right|-2}>0  is a linear inequality in one variables x

a)

k=3

b)

k=2

c)

k=1

d)

k=0

14.

the non-negative integer solution of inequality  3x5>5x133x-5>5x-13  are

a)

1,2,3

b)

0,1,2,3

c)

0,1,2

d)

2,3

15.

if the positive integer solutions of the inequality  2xa02x-a\le0  are x=1,2 and 3,the the set of values that can take is_______

a)

 6a86\le a\le8  

b)

 6<a86<a\le8  

c)

 6<a<86<a<8  

d)

 6a<86\le a<8  

16.

Given that the least integer solution of the inequality 4(x3)+5<6(x2)+14\left(x-3\right)+5<6\left(x-2\right)+1  is the solution of the equation 4x-ax=3,find the value of a

a)

1

b)

2

c)

3

d)

4