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.

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.

2.

What is the simplified form of the expression 4x + 6x?

10x

2x

8x^{2}

10x^{2}

When you add 'like' terms 4x and 6x, you get 10x.

3.

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.

4.

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.

5.

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).

6.

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.

7.

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.

8.

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.

9.

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.

10.

Subtract 6x from 8x. What do you get?

2x

14x

4x

-2x

If you subtract 6x from 8x, you are left with 2x.

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