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Practice - Algebra Expressions and Equations - 02

Welcome to this thrilling KS3 Maths quiz on Algebra Expressions and Equations! Can you solve the mystery of a variable and untangle the intricacies of an equation? Well, put on your algebra cap and let's dive into the world of x's and y's. Remember, there's no need to rush - take your time and think carefully before selecting an answer. Good luck and have fun learning!
1.
How would you express 'the product of a number and eight' as an algebraic expression?
8 + x
x ÷ 8
x - 8
8x
The word 'product' indicates multiplication. So, the number would be multiplied by eight, which is written in algebraic form as 8x.
2.
What is the simplified form of the expression 4x + 6x?
10x
2x
8x2
10x2
When you add 'like' terms 4x and 6x, you get 10x.
3.
Find the value of p if 5p - 3 = 22?
5
3
7
25
To solve for p, first add 3 to both sides of the equation getting 5p = 25. Then, divide both sides by 5, which gives p = 5.
4.
If a = 3 and b = 5, what is the value of the expression 4a + 2b ?
23
20
22
15
Substituting a = 3 and b = 5 into the expression, you get (4 x 3) + (2 x 5) which equals 22.
5.
Which of the following expressions is equivalent to 2(y + 3)?
2y + 3
y + 6
2y + 6
2y - 6
Remember to multiply both y and 3 in the parentheses by 2, giving 2y + 6.
6.
What is the value of a if 7a - 2 = 33?
4
6
5
7
First, add 2 to both sides of the equation which gives you 7a = 35. Then, divide both sides by 7, giving you a = 5.
7.
Which of the following equations is correct if x = 2?
3x = 6
x + 5 = 6
x - 2 = 2
4x = 10
Substitute x = 2 into each equation and see which one holds true. Only the equation 3x = 6 gives a true statement (3 times 2 equals 6).
8.
What is the value of x if 3x = 15?
3
5
12
18
To solve this equation for x, you divide both sides by 3. So, x = 15 ÷ 3, which leads you to the correct answer of 5.
9.
Subtract 6x from 8x. What do you get?
2x
14x
4x
-2x
If you subtract 6x from 8x, you are left with 2x.
10.
What is the value of y if the equation is y = 2x + 3 and x = 4?
7
9
11
14
Substitute the value of x into the equation, which gives y =( 2 x 4) + 3 = 8 + 3 = 11.
Author:  Graeme Haw

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