Hello KS3 Students! Gearing up for some mathematical magic? Well, get ready to embark on a brain-stimulating journey into the world of Algebra. This quiz will test your understanding of Algebraic Expressions and Equations. Show us your skills to simplify, evaluate and solve. Good luck with this algebraic adventure!

1.

Simplify: 4x + 5x

9x

20x

x^{9}

9

Combine like terms: 4x + 5x = 9x

2.

If 'a' stands for 6, what is the value of 2a + 3?

21

15

18

12

Substitute 'a' with 6: 2(6) + 3 = 12 + 3 = 15

3.

What is the value of 2a + 3b - c if a = 3, b = 4, and c = 2?

14

12

15

16

Substitute the values: 2(3) + 3(4) - 2 = 6 + 12 - 2 = 16

4.

Solve for x: 3(2x - 4) = 18

5

6

4

3

First simplify: 6x - 12 = 18, then add 12 to both sides: 6x = 30, and finally, divide by 6: x = 5

5.

Simplify: 6(2y - 3)

12y - 3

12y - 9

6y - 18

12y - 18

Use the distributive property of multiplication over addition: 6 x 2y - 6 x 3 = 12y - 18

6.

Solve for y: 3y + 2 = 14

6

4

5

3

Subtract 2 from both sides: 3y = 12, then divide by 3: y = 4

7.

Simplify: 12a - 7a + 3a

8a

7a

18a

15

Combine like terms: 12a - 7a + 3a = 8a

8.

If t = 5, evaluate 4t^{2} - 3

103

97

100

95

Substitute t with 5: 4 x 5^{2} - 3 = 4 x 25 - 3 = 100 - 3 = 97

9.

Find x from the equation 2x - 5 = 9

8

7

6

5

Add 5 to both sides: 2x = 14, then divide by 2: x = 7

10.

Simplify: n^{4} × n^{2}

n^{6}

n^{2}

n^{8}

2n^{6}

When multiplying with like bases, you add the exponents: n^{4+2} = n^{6}