 # Practice - Algebra Expressions and Equations - 09

Hello KS3 Whizzes! It's time to show off your maths prowess. This quiz revolves around Algebra - Expressions and Equations. So, dust off your mental calculators and dive into these 10 fun puzzles! Remember, it's not just about getting the right answer but also knowing why it's right. Good luck!
1.
Solve the equation: 9z = 27
2
3
18
36
To find z, divide both sides by 9. Thus, z = 27 ÷ 9, which equals 3.
2.
Simplify: -7t + 10t - 2t
t
5t
-t
15t
Combine like terms: -7t + 10t - 2t yields 1t, or simply t.
3.
Simplify the expression: 3x + 5x
8x
15x
2x
x
When adding like terms, add the coefficients while the variable stays the same. Thus, 3x + 5x becomes 8x.
4.
What is the solution of this equation: 5r + 4 = 19
1
2
3
4
To find r, subtract 4 from both sides (19 - 4 = 15), then divide by 5. Thus, r = 15 ÷ 5 which equals 3.
5.
Simplify: -2x + 6x - 3x
x
2x
11x
0.5x
Combine like terms: -2x + 6x - 3x equals 1x, or simply x.
6.
If 5n + 3 = 23, what is the value of n?
4
5
3
20
To find n, subtract 3 from both sides (23 - 3 = 20) then divide by 5. Thus, n = 20 ÷ 5, which equals 4.
7.
If 4y = 20, what is the value of y?
5
4
25
24
To find y, divide both sides by 4. Thus, y = 20 ÷ 4, which equals 5.
8.
Simplify: 10a - 3a + 5a
15a
10a
12a
18a
Combine like terms: 10a - 3a + 5a yields 12a.
9.
Solve the equation: 6m = 18
2
3
12
24
To find m, divide both sides by 6. Thus, m = 18 ÷ 6, which equals 3.
10.
If (2x + 3) ÷ 5 = 1, what is the value of x?
1
2
3
4
First multiply both sides by 5 to yield 2x + 3 = 5, then subtract 3 from both sides. Thus, x = (5 - 3) ÷ 2, which equals 1.
Author:  Graeme Haw 