📚 Part 1: Multiple Choice

1. Sarah has x stickers. She buys 5 more stickers. Which expression shows how many stickers she has now?

x - 5

x + 5

5x

5 - x

2. Tom saves £3 each week. After w weeks, he has saved £21. Which equation is correct?

3w = 21

w + 3 = 21

w - 3 = 21

21w = 3

3. A rectangle has length l and width 4 cm. Its perimeter is 20 cm. What is the value of l?

4 cm

6 cm

8 cm

12 cm

4. Which of these are examples of algebraic expressions? (Tick all that apply)

2n + 7

15

m - 4

8 + 3

✏️ Part 2: Fill in the Blanks

5. Complete the sentences using algebraic expressions:

a) If a book costs p pounds, then 3 books cost __________ pounds.

b) If Jake has n marbles and gives away 8, he has __________ marbles left.

c) A number y is multiplied by 4 and then 6 is added. This gives __________.

6. Write the missing numbers to make these equations true:

a) If 2x = 14, then x = ____

b) If y + 9 = 15, then y = ____

c) If 3n - 5 = 10, then n = ____

🧮 Part 3: Word Problems

7. Emma's age is represented by a. Her brother is 3 years older than Emma. Write an expression for her brother's age, then find both ages if together they are 19 years old.

8. A school trip costs £12 per student plus a fixed cost of £50 for the coach. If the total cost for n students is £194, write an equation and solve to find how many students went on the trip.

9. A farmer has chickens and sheep. There are c chickens and 8 sheep. The total number of legs is 52. Write an equation and solve to find the number of chickens. (Remember: chickens have 2 legs, sheep have 4 legs)