Algebra Practice Questions Easy Level (original) (raw)
Last Updated : 23 Jul, 2025
Algebra questions basically involve modeling word problems into equations and then solving them. Some of the very basic formulae that come in handy while solving algebra questions are :
- (a + b) 2 = a 2 + b 2 + 2 a b
- (a - b) 2 = a 2 + b 2 - 2 a b
- (a + b) 2 - (a - b) 2 = 4 a b
- (a + b) 2 + (a - b) 2 = 2 (a 2 + b 2 )
- (a2 - b2 ) = (a + b) (a - b)
- (a + b + c) 2 = a 2 + b 2 + c 2 + 2 (a b + b c + c a)
- (a 3 + b 3 ) = (a + b) (a 2 - a b + b 2 )
- (a 3 - b 3 ) = (a - b) (a 2 + a b + b 2 )
- (a3 + b3 + c3 - 3 a b c) = (a + b + c) (a2 + b2 + c2 - a b - b c - c a)
- If a + b + c = 0, then a3 + b3 + c3 = 3 a b c
- For a quadratic equation ax2 + bx + c = 0, x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}
**Check: Tips & Tricks for Algebra
Solved Questions on Algebra (Easy)
**Question 1: Solve for x: 3x + 7 = 2x − 5
**Solution:
Subtract 2x from both sides:
x + 7 = −5
Subtract 7 from both sides:
x = −12
**Question 2: Factorize: x 2 **− 9x 2 - 9
**Solution:
This is a difference of squares:
x2 − 9 = (x + 3)(x − 3)
**Question 3: Solve for y: 4y − 2 = 3y + 6
**Solution:
Subtract 3y from both sides:
y − 2 = 6
Solve for y:
y = 8
**Question 4: Expand: (x + 5) (x − 2)
**Solution:
Use distributive property :
x2 − 2x + 5x − 10
Combine like terms:
x2 + 3x − 10
**Question 5: Solve for x: 5x − 4 = 2x + 8
**Solution:
Subtract 2x from both sides:
3x − 4 = 8
3x = 12
x = 4
**Question 6: Simplify: 3(2x + 4) −5(x − 1)
**Solution:
**3(2x + 4) −5(x − 1)
Expand terms:
6x + 12 −5x + 5
Combine like terms:
x + 17
**Question 7: Solve for x: 2x + 13 = 5
**Solution:
Multiply both sides by 3:
2x + 1 = 15
Subtract 1 from both sides:
2x = 14
solve for x:
x = 7
**Question 8: Solve for a: 2(a − 3) + 4 = 3(a + 1)
**Solution:
Expand terms:
2a − 6 + 4 = 3a + 3
Simplify:
2a − 2 = 3a + 3
Subtract 2a from both sides:
−2 = a + 3
Subtract 3 from both sides:
a = −5
Practice Questions on Algebra (Easy)
- Solve for x: 4x + 9 = 3x − 7
- Factorize: x2 − 16x
- Solve for y: 5y + 3 = 4y + 11
- Expand: (x − 3)(x + 7)
- Solve for x: 6x − 5 = 4x + 9
- Simplify: 4(3x + 2) − 2(x − 5)
- Solve for x: 3x − 14 = 5
- Solve for a: 3(a −2) − 4 = 2(a + 3)