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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.
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.
2.
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.
3.
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).
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.
Subtract 6x from 8x. What do you get?
2x
14x
4x
-2x
If you subtract 6x from 8x, you are left with 2x.
6.
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.
7.
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.
8.
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.
9.
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.
10.
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.
Author:  Graeme Haw