Translate into Algebra (2)

In this worksheet, students choose the expression that matches the given word problem.

Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Use and Interpret Algebraic Notation

Difficulty level:

QUESTION 1 of 10

Look at the following examples to see how algebraic expressions can be used to represent word problems.

Expression Word Problem
a + 4 4 more than a
a - 4 4 less than a
4 - a a less than 4
4a 4 times a
a/4  a ÷ 4 or ¼ of a
3a + 4  4 more than 3 times a
a/2 - 6  6 less than half of a

Jack has m toy cars and his sister gives him 24 more.

Choose the expression which shows how many he has now.

m

m + 24

24m

m - 24

Bill has d songs on his iPod.

How many does he now have?

d + 15

d - 15

d

2d

Bill has s songs on his iPod.

He buys s more songs and then deletes 10.

How many does he now have?

2s

s - 10

s - 2

2s - 10

Jill has m marbles and her sister gives her 14 more. Her parents then buy her m more.

Choose the expression which shows how many she has now.

2m - 14

14 - m

14m

2m + 14

Jill has m marbles and gives her sister 14 of them, as she didn't have any.

Choose the expression which shows how many her sister has now.

m - 14

14

14m

m + 14

Bill has d songs on his iPod.

He buys 15 more songs and then deletes d of them. How many does he have now?

15

15 - d

d

d + 15

Dan has d songs on his iPod.

Liz had 3 times as many.

How many does Liz have?

d + 3

d/3

3 - d

3d

Dan has d songs on his iPod.

Anne has half as many.

How many does Anne have?

2d

d/2

2 - d

2 + d

Tom has b books.

He gives 5 books to his sister and then buys b more.

How many does he have now?

2b + 5

5 - 2b

2b - 5

5b

Tariq has b books on his shelf.

His sister has d books.

How many more books than Tariq does his sister have?

b + d

b - d

d - b

bd

• Question 1

Jack has m toy cars and his sister gives him 24 more.

Choose the expression which shows how many he has now.

m + 24
• Question 2

Bill has d songs on his iPod.

How many does he now have?

2d
• Question 3

Bill has s songs on his iPod.

He buys s more songs and then deletes 10.

How many does he now have?

2s - 10
• Question 4

Jill has m marbles and her sister gives her 14 more. Her parents then buy her m more.

Choose the expression which shows how many she has now.

2m + 14
• Question 5

Jill has m marbles and gives her sister 14 of them, as she didn't have any.

Choose the expression which shows how many her sister has now.

14
EDDIE SAYS
The sister's amount of marbles is not related to how many marbles Jill had to begin with.
• Question 6

Bill has d songs on his iPod.

He buys 15 more songs and then deletes d of them. How many does he have now?

15
EDDIE SAYS
d + 15 - d = 15
• Question 7

Dan has d songs on his iPod.

Liz had 3 times as many.

How many does Liz have?

3d
• Question 8

Dan has d songs on his iPod.

Anne has half as many.

How many does Anne have?

d/2
• Question 9

Tom has b books.

He gives 5 books to his sister and then buys b more.

How many does he have now?

2b - 5
• Question 10

Tariq has b books on his shelf.

His sister has d books.

How many more books than Tariq does his sister have?

d - b
EDDIE SAYS
The sister's book (d) subtracted Tariq's books (b) = how many she has more.
---- OR ----

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