Practice Question (12-02-25)
1)
7x+4x−3x
2)
5(y+2)
3)
x−5=12
4)
8x=48
5)
6(x+3)
6)
Identify the coefficient of x and y in the expression 15y−7x+21
7)
8)
𝑥
3
=9
Complete the function machine:
Input→×5→+9→Output
If the input is 4, what is the output?
9)
4x+6=18
10)
(x+2)(x−7)
11)
5(x−3)=2(x+4)
12)
Rearrange the formula to make x the subject: y=3x+5y
13)
A rectangle has a length of 5x+1 cm and width of x−3 cm. Write an expression for its
perimeter.
14)
A rectangle has sides of 4x cm , (x−5) cm and perimeter are 50. Find x.
15)
A shop sells books for £7 each and pens for £2 each. A customer spends £58 in total.
Write and solve an equation for the number of each item bought.
16)
Write an algebraic expression to represent this function machine:
Input→×X→+5→ (8X + 5)
17)
If a function machine follows the rule
input ×4→−6 -> 14 , find the input.
18)
3(x−2)+7=2(x+5).
19)
A taxi company charges £4 plus £1.50 per mile. Write an equation and find how many
miles a person can travel for £34.
20)
A basketball team scores x points in the first half and 3x - 2 points in the second half.
If they scored 50 points in total, find x.
21)
(x−4)(x+4)
Answer Key
1)
8x
2)
5y + 10
3)
X = 17
4)
X=6
5)
6x + 18
6)
-7 and 15
7)
X =27
8)
29
9)
X=3
10)
X2 -5x -14
11)
x = 23/3
12)
3x + 4y = 0
13)
2 (5x+1+ x-3) = 2 (6x-2) = 12x – 4
14)
X=6
15)
7b + 2 p = 58
16)
8
17)
5
18)
9
19)
4 + 1.5m = 34 => m = 20
20)
x + 3x – 2 = 50 => x = 13
21)
x2 -16