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# Practice - Algebra Expressions and Equations - 07

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: 12a - 7a + 3a
8a
7a
18a
15
Combine like terms: 12a - 7a + 3a = 8a
2.
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
3.
Simplify: n4 × n2
n6
n2
n8
2n6
When multiplying with like bases, you add the exponents: n4+2 = n6
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.
Simplify: 4x + 5x
9x
20x
x9
9
Combine like terms: 4x + 5x = 9x
7.
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
8.
Solve for y: 3y + 2 = 14
6
4
5
3
Subtract 2 from both sides: 3y = 12, then divide by 3: y = 4
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.
If t = 5, evaluate 4t2 - 3
103
97
100
95
Substitute t with 5: 4 x 52 - 3 = 4 x 25 - 3 = 100 - 3 = 97
Author:  Graeme Haw