Algebra and equations · Ages 10–11
Words into algebraic expressions worksheet
Part of: First algebra and simple equations
In the print window, choose “Save as PDF” to download it. The answers print on the last page.
Words into algebraic expressions worksheet
Algebra and equations · Ages 10–11
Numsprite
numsprite.com
Name:Date:Score:／48
Write each answer in the space. For word problems, show your working and write a sentence answer.
Part A: Working out and filling in (2 marks each)
1.“7 times x, minus 7” as an expression is x − .
Fill in each blank
Answer:
2.“2 times x, minus 11” as an expression is x − .
Fill in each blank
Answer:
Part B: Choose, or true or false (2 marks each)
3.Which expression means “2 more than x”?
- A. 2 − x
- B. x + 2
- C. 2x
- D. x − 2
Choose the right answer
Answer:
4.Which expression means “2 times y”?
- A. 2y
- B. y + 2
- C. y − 2
- D. y ÷ 2
Choose the right answer
Answer:
5.Which expression means “16 more than x”?
- A. x − 16
- B. 16 − x
- C. x + 16
- D. 16x
Choose the right answer
Answer:
6.Which expression means “a divided by 9, then plus 2”?
- A. 9 ÷ a + 2
- B. a ÷ 9 + 2
- C. (a + 2) ÷ 9
- D. a ÷ (9 + 2)
Choose the right answer
Answer:
7.Which expression means “x minus 2, then times 3”?
- A. 3(x − 2)
- B. x − 2 × 3
- C. 3x + 2
- D. 3x − 2
Choose the right answer
Answer:
8.Which expression means “a divided by 5, then plus 10”?
- A. (a + 10) ÷ 5
- B. a ÷ 5 + 10
- C. a ÷ (5 + 10)
- D. 5 ÷ a + 10
Choose the right answer
Answer:
9.Which expression means “x minus 2, then times 9”?
- A. x − 2 × 9
- B. 9x − 2
- C. 9(x − 2)
- D. 9x + 2
Choose the right answer
Answer:
10.Which expression means “x minus 3, then times 5”?
- A. 5x + 3
- B. x − 3 × 5
- C. 5x − 3
- D. 5(x − 3)
Choose the right answer
Answer:
11.“n plus 9, then times 5” can be written 5n + 45.
True or false?
Answer:
12.“n plus 6, then times 9” can be written 9n + 6.
True or false?
Answer:
Part C: Word problems (4 marks each)
13.A box holds n sweets. Chi-keung buys 5 boxes and eats 2 sweets. How many sweets are left?
- A. 5n − 2
- B. 5n + 2
- C. 5(n − 2)
- D. n − 5 − 2
Choose the right answer
Working:
Answer:
14.Chi-keung has x dollars, buys a $16 book, then gets $12 pocket money. How many dollars does Chi-keung have now?
- A. x + 16 − 12
- B. x − 16 − 12
- C. x − 16 + 12
- D. x + 16 + 12
Choose the right answer
Working:
Answer:
15.Tsz-ching is y years old. Tsz-ching's mum is 1 years younger than 3 times Tsz-ching's age. How old is the mum?
- A. 3y + 1
- B. 3(y − 1)
- C. y + 3 − 1
- D. 3y − 1
Choose the right answer
Working:
Answer:
16.A rectangular card is x cm wide and 7 cm longer than it is wide, so its length is (x + 7) cm. When x = 7, what is its perimeter (all four sides added)?
Working:
Answer:
17.A box holds n sweets. Ka-lok buys 5 boxes and eats 8 sweets. How many sweets are left?
- A. n − 5 − 8
- B. 5(n − 8)
- C. 5n + 8
- D. 5n − 8
Choose the right answer
Working:
Answer:
18.Tsz-hin has x dollars, buys a $21 book, then gets $29 pocket money. How many dollars does Tsz-hin have now?
- A. x + 21 − 29
- B. x − 21 − 29
- C. x − 21 + 29
- D. x + 21 + 29
Choose the right answer
Working:
Answer:
Show the answers and working
Words into algebraic expressions worksheet: Answers and working
Part A: Working out and filling in
1. 7, 7
Write “7 times x” first, with the number in front of the letter; then deal with “minus 7”.
7 times x is 7x; minus 7: 7x − 7.
2. 2, 11
Write “2 times x” first, with the number in front of the letter; then deal with “minus 11”.
2 times x is 2x; minus 11: 2x − 11.
Part B: Choose, or true or false
3. B. x + 2
What operation does “2 more” mean? Think how x and 2 join up.
2 more is plus 2: x + 2.
4. A. 2y
“Times” means multiply, and the × can be left out when the number goes in front of the letter.
2 times y is 2 × y, written 2y.
5. C. x + 16
What operation does “16 more” mean? Think how x and 16 join up.
16 more is plus 16: x + 16.
6. B. a ÷ 9 + 2
See which step comes first. Division already comes before addition in the usual order, so are brackets needed?
Divide, then add, which is the usual order: a ÷ 9 + 2, no brackets needed.
7. A. 3(x − 2)
The first step is x minus 2. What must go round that part so the whole of it is multiplied by 3?
The part done first, x − 2, goes in brackets, then × 3: 3(x − 2).
8. B. a ÷ 5 + 10
See which step comes first. Division already comes before addition in the usual order, so are brackets needed?
Divide, then add, which is the usual order: a ÷ 5 + 10, no brackets needed.
9. C. 9(x − 2)
The first step is x minus 2. What must go round that part so the whole of it is multiplied by 9?
The part done first, x − 2, goes in brackets, then × 9: 9(x − 2).
10. D. 5(x − 3)
The first step is x minus 3. What must go round that part so the whole of it is multiplied by 5?
The part done first, x − 3, goes in brackets, then × 5: 5(x − 3).
11. True
n plus 9 comes first, so it goes in brackets before × 5. Think what each part inside becomes once multiplied by 5.
It is 5(n + 9); every part in the brackets is multiplied by 5, so it equals 5n + 5 × 9.
12. False
n plus 6 comes first, so it goes in brackets before × 9. Think what each part inside becomes once multiplied by 9.
It is 9(n + 6); every part in the brackets is multiplied by 9, so it equals 9n + 9 × 6.
Part C: Word problems
Marking: 2 for the working, 1 for the answer, 1 for the sentence.
13. A. 5n − 2
First use n to write how many sweets 5 boxes hold, then deal with the 2 eaten.
5 boxes are 5n sweets; 2 eaten: 5n − 2.
14. C. x − 16 + 12
Write it a step at a time: buying the book takes money away, pocket money adds it. Deal with the $16 first.
Subtract the 16 spent, add the 12 received: x − 16 + 12.
15. D. 3y − 1
Write “3 times Tsz-ching's age” first, then decide whether “1 years younger” adds or subtracts.
3 times Tsz-ching's age is 3y; 1 less: 3y − 1.
16. 42 cm
Put x = 7 in first to find the length, then work out the perimeter.
Length 7 + 7 = 14 cm; perimeter 2 × (14 + 7) = 42 cm.
17. D. 5n − 8
First use n to write how many sweets 5 boxes hold, then deal with the 8 eaten.
5 boxes are 5n sweets; 8 eaten: 5n − 8.
18. C. x − 21 + 29
Write it a step at a time: buying the book takes money away, pocket money adds it. Deal with the $21 first.
Subtract the 21 spent, add the 29 received: x − 21 + 29.
Numsprite · numsprite.com/en/worksheets/algebra-and-simple-equations/writing-algebraic-expressions
Practise it in the gameWords into algebraic expressions · Unlimited questions, no download