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Algebra - the concept of variables

Total questions: 14

Worksheet time: 14mins

Name
Class
Date
1.

The diagram shows 3 cups and 2 marbles. If each cup contains  kk  marbles, the total number of marbles = 

a)

 3k3k  

b)

 k+k+kk+k+k  

c)

 3k+23k+2  

d)

 k+2k+2  

2.

The diagram shows 2 packets and 3 biscuits. How many biscuits are there altogether if each packet contains 20 biscuits?

a)

40

b)

43

c)

5

d)

23

3.

The diagram shows 2 packets and 3 biscuits. How many biscuits are there altogether if each packet contains  xx   biscuits?

a)

 2x+32x+3  

b)

 x+3x+3  

c)

 3+x3+x  

d)

 2x2x  

4.

There are 3 packets and 10 nails. How many nails are there altogether if each packet contains 25 nails?

a)

60

b)

75

c)

85

d)

90

5.

There are 3 packets and 10 nails. If m = the number of nails in each packet, write an algebraic expression for the total number of nails.



(a)  

6.

There are 5 balls of string plus a lengthof 0.3 m of string. Find the total length of stringif each ball has a length of 6m

a)

30m

b)

5.3m

c)

11.3m

d)

30.3m

7.

There are 5 balls of string plus a lengthof 0.3 m of string. If q = the length of string, in metres, in each ball, write an expression for the total length of string.



(a)  

8.

Let z = the number of marbles in each cup. The total number of marbles =

a)

 z+1z+1  

b)

 5z+15z+1  

c)

 5+15+1  

d)

 5+z5+z  

9.

Let z = the number of marbles in each cup. The total number of marbles =

a)

4

b)

2z2z

c)

z+4

d)

4z4z

10.

Let k = the number of blocks in each paper bag. Write an algebraic expression for the total number of blocks shown by the diagram.

a)

 5k+55k+5  

b)

 k+5k+5  

c)

 2k+52k+5  

d)

 k+4k+4 

11.

Let k = the number of blocks in each paper bag. Write an algebraicexpression for the total number of blocks shown by the diagram.

a)

5k5k

b)

5k+55k+5

c)

2k2k

d)

k+5k+5

12.

Let s = the number of pills in each cup and t = the number of pills in each bottle. Write an algebraic expression for the total number of pills shown by the diagram.

a)

 s+2s+2 

b)

 s+ts+t 

c)

 2s+t2s+t 

d)

 s+2ts+2t 

13.

Let h = the number of dice in each cup and k = the number of dice in each box. Write an algebraic expression for the total number of dice shown by the diagram.

a)

 h+kh+k 

b)

 4h+3k4h+3k 

c)

 4h+34h+3 

d)

 h+3kh+3k 

14.

Let w = the number of marbles in each cup. Write an algebraic expression for the TOTAL number of marbles shown

a)

 2w+72w+7 

b)

 w+3w+3 

c)

 2w+42w+4 

d)

 2+72+7