Problems
Simplifying
Expressions
2 step Bar Models
100

Jack is j years old. His brother is three times as old as him. What will his brother's age be in 4 years' time in terms of j?

His brother will be 3j + 4 years old in four years. 

100

Simplify 5a - 2a + 1

3a + 1

100

17 added to n

n + 17
100

t + 5 = 21

t = 16

200

Miya has 4 times as many cards as Ella. If Ella has n cards, express the total number of cards they have in terms of n. 

Altogether, they have 4n + n = 5n cards.
200

Simplify 7a + 12 - 4a + 1

3a + 13

200

n divided by 6 

n ÷ 6

200

I think of a number, multiply it by 3 and then add 5. My answer is 23. What was my original number?

My number was 6

300

There are 24k apples in a box. Peter used 1/3 (one third) of them to make apple pies. Express the number of apples left in terms of k. 

Peter used 8k apples, so he has 16k left. 

300

9a + 20 + 3a - a + 2

11a + 22

300

multiply n by 3, then add 7

3n + 7

300

I think of a number, multiply it by 4 and then subtract 7. My answer is 13. What was my original number?

My number was 5. 

400

Five times a number increased by seven is equal to forty-seven. what is the number?

x=8

400

n + n + n + n + n + n

6n

400

How would you write this expression in words: 33 - n

thirty-three subtract n

400

2b + 3 = 17

b = 7