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Translate into Algebra (1)

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

'Translate into Algebra (1)' worksheet

Key stage:  KS 2

Curriculum topic:   Maths and Numerical Reasoning

Curriculum subtopic:   Equations and Algebra

Difficulty level:  

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Worksheet Overview

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 marbles and his sister gives him 4 more.

Choose the expression which shows how many he has now.

m

m + 4

4m

m - 4

Jill has m marbles and her sister gives her 14 more.

Choose the expression which shows how many she has now.

14m

14 - m

m -14

m + 14

Jill has m marbles and gives her sister 14 of them

Choose the expression which shows how many she has now.

14m

14 - m

m -14

m + 14

Bill has d songs on his music player.

He buys 15 more songs. How many does he have now?

d

15 - d

d - 15

d + 15

Bill has d songs on his music player.

He deletes 15 of them.  How many does he have now?

d

15 - d

d - 15

d + 15

Dan has 15 songs on his music player.

He deletes d of them.  How many does he have now?

d

15 - d

d - 15

d + 15

Dan has d songs on his music player.

Anne has fifteen times as many.

How many does Anne have?

15d

15 - d

d - 15

d + 15

Tariq has b books on his shelf.

He lends 5 books to his sister.

 

How many are left on his shelf?

5b

b - 5

5 - b

b + 5

Tariq has 25 books on his shelf.

He lends b books to his sister.

 

How many are left on his shelf?

25b

b - 25

25 - b

b + 25

Katie has x sweets.

She gives half of them to her brother.

How many does she have left?

x - 2

x - ½

2x

x/2

  • Question 1

Jack has m marbles and his sister gives him 4 more.

Choose the expression which shows how many he has now.

CORRECT ANSWER
m + 4
EDDIE SAYS
Here, we are expressing \'4 more than m\', so the answer is m + 4
  • Question 2

Jill has m marbles and her sister gives her 14 more.

Choose the expression which shows how many she has now.

CORRECT ANSWER
m + 14
EDDIE SAYS
Here, we are showing \'14 more than m\', so the expression we use is m + 14.
  • Question 3

Jill has m marbles and gives her sister 14 of them

Choose the expression which shows how many she has now.

CORRECT ANSWER
m -14
EDDIE SAYS
Here, Jill is giving away 14 marbles, so the expression we use is m - 14, as we are signifying \'14 less than m\'.
  • Question 4

Bill has d songs on his music player.

He buys 15 more songs. How many does he have now?

CORRECT ANSWER
d + 15
EDDIE SAYS
We are expressing \'15 more than d\', so the answer is d + 15. 15 + d would also be correct as it doesn\'t matter which way round we add things.
  • Question 5

Bill has d songs on his music player.

He deletes 15 of them.  How many does he have now?

CORRECT ANSWER
d - 15
EDDIE SAYS
Here, we are expressing \'15 less than d\', so the answer is d - 15.
  • Question 6

Dan has 15 songs on his music player.

He deletes d of them.  How many does he have now?

CORRECT ANSWER
15 - d
EDDIE SAYS
Here, Dan already has 15 songs and is deleting d, so we signify \'d less than 15\' by using the expression 15 - d.
  • Question 7

Dan has d songs on his music player.

Anne has fifteen times as many.

How many does Anne have?

CORRECT ANSWER
15d
EDDIE SAYS
15d is the same as 15 x d, because Anne has fifteen times the amount of songs that Dan has.
  • Question 8

Tariq has b books on his shelf.

He lends 5 books to his sister.

 

How many are left on his shelf?

CORRECT ANSWER
b - 5
EDDIE SAYS
Here, we are expressing \'5 less than b\', so the answer is b - 5.
  • Question 9

Tariq has 25 books on his shelf.

He lends b books to his sister.

 

How many are left on his shelf?

CORRECT ANSWER
25 - b
EDDIE SAYS
The expression we use here is 25 - b, to signify \'b less than 25\'.
  • Question 10

Katie has x sweets.

She gives half of them to her brother.

How many does she have left?

CORRECT ANSWER
x/2
EDDIE SAYS
x/2 is the same as x ÷ 2, because Katie has divided the number of sweets by 2.
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