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Equations and solving (basic) relationships

Total questions: 20

Worksheet time: 46mins

Name
Class
Date
1.
Write the equation for the table given
a)
y = 1/3x
b)
y = 3x
c)
y = 1/2x
d)
x = 3y
2.
In the equation y = 14x, what is the constant of proportionality?
a)
y
b)
x
c)
14
3.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

4.
4x + 7 = 23
a)
x = 16
b)
x = 4
c)
x = 9
d)
x = 12
5.
33 = 4a - 7
a)
a=-10
b)
a=10
c)
a=4.5
6.

4x + 1 = 37

a)

8

b)

9

c)

12

d)

6

7.

Julien has 3 oranges, 5 mangos and 2 pineapples. What is the ratio of oranges to pineapples?

a)

32\frac{3}{2}

b)

23\frac{2}{3}

c)

2 to 3

d)

310\frac{3}{10}

8.

How do you solve the following?

3x = 21

a)

divide

b)

Multiply by 3 on each side.

c)

Mulitiply by 3 on both sides

d)

Divide by 3 on each side.

9.

Which ratios are equivalent to 1 : 3? Select all that apply (2).

a)

10 : 30

b)

6 : 18

c)

5 : 20

d)

2 : 9

10.

How much time do you spend on Math each week?

a)

45 minutes or less

b)

1 hour

c)

2 hours

d)

3 hours or more

11.

Determine whether the given value is a solution of the equation:


4w = 86; w=24

a)

true

b)

false

12.

Solve the equation:


p + 3/4 = 4 and 1/2

a)

4 and 1/4

b)

3 and 3/4

c)

3 and 1/4

d)

3 and 3/8

13.

Solve the equation:

 \frac{r}{17}=\ 52 



(a)  

14.

 x > −2x\ >\ -2  

If

Which are possible solutions?
(mark all that apply)

a)

- 2.1

b)

- 1

c)

0.5

d)

- 5

15.

In the inequality:

p ≤ - 3.14


Choose all answers that would be on the line.

a)

- 3.1

b)

3.14

c)

 − π-\ \pi  

d)

- 3

e)

- 3.2

16.

 108x=12\frac{108}{x}=12  

a)

9

b)

12

c)

8.5

d)

10.2

17.

 12\frac{1}{2}  x - 7 = 5

a)

6

b)

-1

c)

-4

d)

24

18.

Jody is buying a scrapbook and sheets of designer paper. She has $40 and needs at least $19.00 to buy the scrapbook. Each sheet of paper costs $3.00. How many sheets of paper can she buy?

a)

12

b)

7

c)

-7

d)

8

19.

Which number line represent the solution to the inequality −3 ≥ x

a)

Line A

b)

Line B

c)

Line C

d)

Line D

20.

The solution to the inequality 5x > 25 is represented by which number line?

a)
b)
c)
d)