Algebra Practice Questions Easy Level

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: x² − 9x² - 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)

1. Solve for x: 4x + 9 = 3x − 7
2. Factorize: x² − 16x
3. Solve for y: 5y + 3 = 4y + 11
4. Expand: (x − 3)(x + 7)
5. Solve for x: 6x − 5 = 4x + 9
6. Simplify: 4(3x + 2) − 2(x − 5)
7. Solve for x: 3x − 14 = 5
8. Solve for a: 3(a −2) − 4 = 2(a + 3)

Practice More-

• Algebra Practice Questions Medium Level
• Algebra Practice Questions Hard Level

Quiz - Algebra Quiz