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Worksheets

Equations and Integers

Total questions: 10

Worksheet time: 2hrs 40mins

Name
Class
Date
1.

For solving the equation below, the "triangle" will be:
 34−Δ=1134-\Delta=11  

a)

13

b)

23

c)

21

d)

12

2.

When we work with altitude, below sea level is shown as:

a)

number zero

b)

positive numbers

c)

negative numbers

d)

only positive numbers

3.

The image above represents a balance. The picture can be translated into the equation as:

a)

1 + ? = 6

b)

3 + ? = 2 + 2 + 2

c)

3 + 1 = 2 + 1 + 2

d)

2 + ? = 3 + 3

4.

Think about the whole numbers and integers. How are they different?

a)

On integers, we include negative numbers.

b)

On whole numbers, we have even numbers only.

c)

On integers we have negative numbers only

d)

all the statements are wrong

5.

Check the number line above. The missing numbers are:

a)

2, -4, and -3

b)

-2, 3, and -4

c)

-3, 2, and 4

d)

-4, -2, and -3

6.

The following equation is represented by some Greek letters,

 α = alpha\alpha\ =\ alpha    and    β=beta\beta=beta  . 

Using the equation  α−4=β\alpha-4=\beta  , choose the WRONG alternative.

a)

 If    α=5,    then    β=1.If\ \ \ \ \alpha=5,\ \ \ \ then\ \ \ \ \beta=1.  

b)

 If    α=18,    then    β=13.If\ \ \ \ \alpha=18,\ \ \ \ then\ \ \ \ \beta=13.  

c)

 If    α=13,    then    β=9.If\ \ \ \ \alpha=13,\ \ \ \ then\ \ \ \ \beta=9.  

d)

 If    α=9,    then    β=5.If\ \ \ \ \alpha=9,\ \ \ \ then\ \ \ \ \beta=5.  

7.

The negative number - 10 can represent all the following statements, EXCEPT:

a)

- 10 oC, it is the temperature on a freezer

b)

- $10. A person owes $10 to the bank.

c)

- 10 points. On specific games mean that you lost 10 points.

d)

- 10 m. 10 metres above sea level.

8.

 6×3=Δ÷26\times3=\Delta\div2  



a)

 Δ=9\Delta=9  

b)

 Δ=36\Delta=36  

c)

 Δ=18\Delta=18  

d)

 Δ=48\Delta=48  

9.

 3 + A = 83\ +\ A\ =\ 8  
 4×A = B4\times A\ =\ B  
 B÷2 −7 = CB\div2\ -7\ =\ C  

a)

C = 4

b)

C = 5

c)

C = 3

d)

C = 1

10.

Sarah was diving to take photos of some fish. First, she dove to a depth of 18 m. Then the woman moved up 7 m. After some pictures, she went down 4 m, and finally, she stopped after moving up 6 m for more photos. Her altitude is:

a)

- 10 m

b)

- 5 m

c)

- 9 m

d)

- 7 m