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Equations and Inequalities Warm Up

Total questions: 25

Worksheet time: 50mins

Name
Class
Date
1.
4x + 7 = 23
a)
x = 16
b)
x = 4
c)
x = 9
d)
x = 12
2.
4x + 2(x - 6) = 12
a)
x = 6
b)
x = 4
c)
x = 2
d)
x = -2
3.

When do you graph using a CLOSED circle?

a)

Positive numbers

b)

When using 'or equal to' signs

≤ or ≥\le\ or\ \ge

c)

Negative numbers

d)

When using only greater or less than < or ><\ or\ >

4.

Which direction is this inequality graphed?

X < 8

a)

Left

b)

Right

5.

Which direction is this inequality graphed?

X > 2

a)

Left

b)

Right

6.

Which direction is this inequality graphed?

x≥2x\ge2  

a)

Left

b)

Right

7.

Would this be graphed with on OPEN or CLOSED circle?

x≤4x\le4  

a)

Open

b)

Closed

8.

Would this be graphed with on OPEN or CLOSED circle?

x<6x<6  

a)

Open

b)

Closed

9.

Solve:


7x = 98

a)

x = 12

b)

x = 14

c)

x = 13

d)

x = 18

10.

Solve the inequality.

4x + 5 ≤ 37

a)

x ≥ 8

b)

x ≥ 10.5

c)

x ≤ 8 

d)

x ≤ 10.5

11.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

12.
What is the first step to solve this equation:
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.
13.
Solve for n
a)
n = 9
b)
n = 3
c)
n = 27
d)
n = 15
14.

Solve the equation:

x−35=7\frac{x-3}{5}=7  

a)

38

b)

33

c)

50

d)

2

15.

Solve for x. 

23x=18\frac{2}{3}x=18  

a)

12

b)

27

c)

18

d)

36

16.

Solve for a

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

17.

Which operations have an inverse relationship?

a)

Subtraction and Division

b)

Multiplication and Addition

c)

Subtraction and Multiplication

d)

Addition and Subtraction

18.

Less than

a)

>>

b)

<<

c)

≤\le

d)

≥\ge

19.

Greater than or equal to

a)

<<

b)

>>

c)

≤\le

d)

≥\ge

20.

What happens to the symbol when you multiply or divide an inequality by a negative number?

a)

It stays the same

b)

It has to flip

21.
"At most" and "No more than" are both clue words for...
a)
<
b)
>
c)
≤
d)
≥
22.
Solve the following equation 
8 = m - 12
a)
4
b)
0.5
c)
5.0
d)
20
23.
Solve the following equation
18 = 3b
a)
15
b)
6
c)
21
d)
54
24.
Solve the following equation
c / 4 = 4
a)
1/4
b)
8
c)
1
d)
16
25.

What do you call when you flip a fraction?

a)

Reapproval

b)

Recipient

c)

Reciprocity

d)

Reciprocal