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# Practice - Algebra Expressions and Equations - 08

Greetings maths whizz kids! Ready for some alge-brain-busters? We've designed a fun quiz that tests your prowess in algebraic expressions and equations. So, don your thinking caps and take on these 10 remarkable questions. Confident with x's, y's, and equations? Let’s find out! Remember, the only way to get better at maths is to practise, and this fun quiz is an entertaining way to do just that!
1.
Simplify '3x + 2x + 5'.
10x
5x + 5
5x
6x
When combining like terms, add the coefficients of 3x (3) and 2x (2) to get 5x, then add 5.
2.
Solve 5x + 15 = 30.
x = 15
x = 5
x = 3
x = 1
Subtract 15 from both sides, then divide by 5 to find x = 3.
3.
Which equation represents 'The sum of a number n and 8 is 12'?
n + 8 = 12
n - 8 = 12
8n = 12
n ÷ 8 = 12
The words 'sum of' relate to addition, hence 'n + 8 = 12' is the correct representation.
4.
Which expression equals zero when x = 2?
x + 3
x - 2
2x + 5
3x - 4
Plugging in x = 2 into 'x - 2' equals 0.
5.
What is the value of y in this equation: 3y - 2 = 7?
y = 5
y = 2
y = 3
y = 1
Add 2 to both sides gives: 3y = 9. Then 9 ÷ 3 = y, so y = 3.
6.
Expand 4(x + 2).
2x + 2
4x + 8
8x + 8
4x + 2
Multiplying 4 with each term inside parentheses gives you '4x + 8'.
7.
If a = 2 and b = 3, what is the value of '2a + 3b'?
13
12
14
10
Substituting 'a' and 'b' with their respective values gives '2 x 2 + 3 x 3 = 13'.
8.
Solve 2y + 8 = 20
y = 2
y = 4
y = 6
y = 8
Subtract 8 from both sides: 2y = 12, so y is 12 ÷ 2 = 6
9.
What is the value of 'x' if 2x = 4x - 10?
x = 5
x = 7
x = 10
x = 3
Subtract '2x' from both sides to get '2x = 10'. Dividing 10 by 2 gives 'x = 5'.
10.
Solve the equation 2x = 10.
x = 20
x = 5
x = 10
x = 15
Dividing 10 by 2 gives you x = 5.
Author:  Graeme Haw