Practice Questions and Solutions
5. Cheng has ss strawberries. Write an expression for someone who has:

a) Two more strawberries than Cheng:
s+2s+2

b) Three times as many strawberries as Cheng:
3s3s

c) Six fewer strawberries than Cheng:
s−6s−6

d) Half as many strawberries as Cheng:
s22s
6. Write an expression for the answer to each question:

a) Ali has xx paintings. He buys two more. Total paintings:
x+2x+2

b) Hamza has tt free text messages. He used 15. Remaining messages:
t−15t−15

c) Ibrahim is ii years old, Tareq is tt years old. Total age:
i+ti+t

d) Aya can store vv video clips on one memory card. On two cards:
2v2v
7. Nesreen thinks of a number nn. Write an expression for:

a) Multiply by 6:
6n6n

b) Divide by 5:
n55n

c) Multiply by 5, then add 1:
5n+15n+1

d) Multiply by 7, then subtract 2:
7n−27n−2

e) Divide by 10, then add 3:
n10+310n+3

f) Multiply by 3, then subtract from 25:
25−3n25−3n
8. Cost of adult meal = $aa, child meal = $cc. Total cost for:

a) One adult and one child:
a+ca+c

b) One adult and three children:
a+3ca+3c

c) Four adults and one child:
4a+c4a+c

d) Four adults and five children:
4a+5c4a+5c
9. Match descriptions to expressions:



a) Multiply xx by 5 and subtract from 4:
4−5x4−5x (iii)
b) Multiply xx by 4 and add 5:
4x+54x+5 (i)
c) Multiply xx by 5 and subtract 4:
5x−45x−4 (v)




d) Multiply xx by 5 and add 4:
5x+45x+4 (vii)
e) Multiply xx by 4 and subtract 5:
4x−54x−5 (ii)
f) Multiply xx by 4 and subtract from 5:
5−4x5−4x (iv)
Marcus' Description: "Multiply xx by 5 then subtract 5" matches 5x−55x−5,
which is not listed.
Answer: Yes, Marcus is correct because 5x−55x−5 was not matched to any
description.
10. Write an expression for:

a) Total cost of seven drinks (dd each) and six bags of chips (cc each):
7d+6c7d+6c

b) Total value of three rings (rr each) doubled:
2×3r=6r2×3r=6r
11. Write an expression for:




a) kk more than gg:
g+kg+k
b) hh less than tt:
t−ht−h
c) yy more than eight times xx:
8x+y8x+y
d) Three times aa multiplied by bb:
3a×b=3ab3a×b=3ab
12. Write a description for:

a) v+7uv+7u:
"vv plus seven times uu"

b) 8w−d8w−d:
"Eight times ww minus dd"

c) 5x+3y5x+3y:
"Five times xx plus three times yy"

d) 7pq7pq:
"Seven times pp multiplied by qq"
13. Kai’s pieces of wood:

a) Total length:
(8a+15)+(2b−3c)=8a+2b−3c+15(8a+15)+(2b−3c)=8a+2b−3c+15

b) Difference in length:
(8a+15)−(2b−3c)=8a−2b+3c+15(8a+15)−(2b−3c)=8a−2b+3c+15
14. Given p+q=−2p+q=−2 and pq=−8pq=−8, with p>qp>q:

a) Sadie’s Answer (p=−12p=−12, q=10q=10):
p+q=−2p+q=−2 ✔️, but pq=−120≠−8pq

. Incorrect.
b) Correct Values:
Solve pp and qq using the quadratic equation:
x2−(p+q)x+pq=0x2−(p+q)x+pq=0 → x2+2x−8=0x2+2x−8=0
Solutions: x=2x=2 or x=−4x=−4.
Since p>qp>q, p=2p=2 and q=−4q=−4.
Final Answer Key
All expressions and solutions are provided above with clear explanations. For the
matching exercise (Q9), the unmatched expression was correctly identified by
Marcus. For the values of pp and qq (Q14), the correct pair
is p=2p=2 and q=−4q=−4.