Algebraic expressions · Ages 12–13
Reading algebra as words worksheet
Part of: Algebraic expressions & sequences
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Reading algebra as words worksheet
Algebraic expressions · Ages 12–13
Numsprite
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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.n books cost 56n + 32 dollars in all: each book is $, and postage is $ on top.
Fill in each blank
Answer:
2.n books cost 20n + 5 dollars in all: each book is $, and postage is $ on top.
Fill in each blank
Answer:
Part B: Choose, or true or false (2 marks each)
3.How does x − 23 read in words?
- A. x divided by 23
- B. 23 times x
- C. 23 minus x
- D. x minus 23
Choose the right answer
Answer:
4.How does 2x + 11 read in words?
- A. 2 times the sum of x and 11
- B. 2 times x, plus 11
- C. 11 times the sum of x and 2
- D. 11 times x, plus 2
Choose the right answer
Answer:
5.9x3 means 3 times x to the power 3.
True or false?
Answer:
6.How does 9(x + 2) read in words?
- A. 9 times the sum of x and 2
- B. 2 times the sum of x and 9
- C. 9 times x, plus 2
- D. x plus 18
Choose the right answer
Answer:
7.How does x − 136 read in words?
- A. x minus 13, then divided by 6
- B. 13 minus x, then divided by 6
- C. x minus 13, then times 6
- D. x divided by 6, then minus 13
Choose the right answer
Answer:
8.5x2 means 5 times x to the power 2.
True or false?
Answer:
9.Tsz-hin has x dollars and buys 9 notebooks at y dollars each. What does x − 9y stand for?
- A. The total cost of 9 notebooks
- B. How much more 9 notebooks cost than x dollars
- C. The money Tsz-hin has left after buying them
- D. The price of one notebook
Choose the right answer
Answer:
10.A pen costs x dollars and a notebook y dollars. What does 5x + 3y stand for?
- A. The total for 3 pens and 5 notebooks
- B. The total for 8 pens
- C. The total for 5 pens and 3 notebooks
- D. How much more 5 pens cost than 3 notebooks
Choose the right answer
Answer:
11.How does 7x − 36 read in words?
- A. x times 7, minus 3, then divided by 6
- B. x minus 3, times 7, then divided by 6
- C. 6 divided by the difference of x times 7 and 3
- D. x times 7, minus the quotient of 3 divided by 6
Choose the right answer
Answer:
12.May has x dollars and buys 9 notebooks at y dollars each. What does x − 9y stand for?
- A. The total cost of 9 notebooks
- B. The money May has left after buying them
- C. How much more 9 notebooks cost than x dollars
- D. The price of one notebook
Choose the right answer
Answer:
Part C: Word problems (4 marks each)
13.With x = 15, work out 3(x + 12) − 4 in order. Put the steps in order.
- A. 27 × 3 = 81
- B. 15 + 12 = 27
- C. 81 − 4 = 77
Write the letters in the right order
Working:
Answer:
14.A ride costs 22 + 8n dollars for n km. It starts at $, each km adds $, and 14 km costs $.
Fill in each blank
Working:
Answer:
15.An adult's ticket costs x dollars and a child's y dollars. What does 3x + 5y stand for?
- A. The fare for 8 adults
- B. The fare for 3 adults and 5 children
- C. The fare for 5 adults and 3 children
- D. How much more an adult's ticket costs than a child's
Choose the right answer
Working:
Answer:
16.A shopkeeper gives cards to x customers, leaving 108 − 3x. There were at first, each got , and with x = 3, are left.
Fill in each blank
Working:
Answer:
17.A packet holds x sweets. 2x + 7 means packets and loose. With 41 in a packet, that is .
Fill in each blank
Working:
Answer:
18.Ka-yan is x years old. What does x + 7 stand for?
- A. The age of someone 7 years younger than Ka-yan
- B. Ka-yan's age 7 years ago
- C. Ka-yan's age in 7 years
- D. 7 times Ka-yan's age
Choose the right answer
Working:
Answer:
Show the answers and working
Reading algebra as words worksheet: Answers and working
Part A: Working out and filling in
1. 56, 32
The 56 multiplying n is the price of each book; the 32 alone doesn't change with n, so it is the fixed postage.
2. 20, 5
The 20 multiplying n is the price of each book; the 5 alone doesn't change with n, so it is the fixed postage.
Part B: Choose, or true or false
3. D. x minus 23
x − 23 starts from x and takes away 23.
4. B. 2 times x, plus 11
Times, then plus: the last step is plus, so '2 times x, plus 11'.
5. False
The index 3 belongs to x alone: find x3, then multiply by 9.
6. A. 9 times the sum of x and 2
The bracket x + 2 first, times 9 last: '9 times the sum'.
7. A. x minus 13, then divided by 6
The bracket x − 13 first, dividing by 6 last.
8. True
The index 2 belongs to x alone: find x2, then multiply by 5.
9. C. The money Tsz-hin has left after buying them
9y is what the 9 notebooks cost; taken from Tsz-hin's x dollars, it leaves the money remaining.
10. C. The total for 5 pens and 3 notebooks
5x is the cost of 5 pens and 3y of 3 notebooks; added, they make the total.
11. A. x times 7, minus 3, then divided by 6
The bracket first: x times 7, then minus 3. The last step divides by 6, so the whole difference is divided.
12. B. The money May has left after buying them
9y is what the 9 notebooks cost; taken from May's x dollars, it leaves the money remaining.
Part C: Word problems
Marking: 2 for the working, 1 for the answer, 1 for the sentence.
13. B → A → C
The bracket first, then times, then minus: and that is how it reads, '3 times the sum, then minus 4'.
14. 22, 8, 134
The 22 alone doesn't change with n: the starting fare; the 8 goes with n: the price per km. 22 + 8 × 14 = 22 + 112 = 134.
15. B. The fare for 3 adults and 5 children
The 3 with x counts adults, and the 5 with y counts children.
16. 108, 3, 99
108 is the total at the start and 3x what went out. 108 − 3 × 3 = 108 − 9 = 99.
17. 2, 7, 89
2 goes with x, so it counts packets; 7 alone is the loose ones. 2 × 41 + 7 = 82 + 7 = 89.
18. C. Ka-yan's age in 7 years
Adding 7 makes the age 7 more, so 7 years from now.
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