Class 6 Algebra Worksheet

Class 6 Algebra Worksheet

Class 6 Algebra Worksheet

Part 1: Identify the Variable and Coefficient

Write the variable and coefficient for each expression.

  1. 5x
  2. 7y
  3. 12a
  4. 9b
  5. 3m
  6. 8n
  7. 15p
  8. 6q
  9. 11r
  10. 4s

Part 2: Simplify Algebraic Expressions

Simplify the following expressions:

  1. 3x + 5x = ______
  2. 7y + 2y = ______
  3. 6a + 4a = ______
  4. 9b + 3b = ______
  5. 5m + 7m = ______
  6. 8n + 12n = ______
  7. 14p + 6p = ______
  8. 10q + 5q = ______
  9. 11r + 9r = ______
  10. 6s + 14s = ______

Part 3: Evaluate Algebraic Expressions

If x = 3, y = 4, z = 2, evaluate:

  1. 5x + 2 = ______
  2. 3y + 7 = ______
  3. 4z + 6 = ______
  4. 2x + 3y = ______
  5. 6y + 5z = ______
  6. 7x – 2 = ______
  7. 5y – 3 = ______
  8. 9z + 4 = ______
  9. 3x + 2y + z = ______
  10. 2x + 3y – z = ______

Part 4: Solve the Simple Equations

Solve for the variable:

  1. x + 5 = 12
  2. y – 7 = 9
  3. 3x = 15
  4. 2y = 14
  5. x/4 = 3
  6. 5y = 35
  7. z + 8 = 17
  8. 6x – 4 = 14
  9. 7y + 3 = 24
  10. 8z – 5 = 19

Part 5: Word Problems

  1. A number increased by 7 gives 15. Find the number.
  2. Three times a number is 18. Find the number.
  3. A number divided by 4 gives 5. Find the number.
  4. The sum of a number and 9 is 20. Find the number.
  5. Two times a number minus 6 equals 10. Find the number.
  6. A number added to 12 equals 25. Find the number.
  7. Five more than a number equals 20. Find the number.
  8. Four times a number plus 3 equals 19. Find the number.
  9. Seven less than a number is 10. Find the number.
  10. Six times a number minus 4 equals 32. Find the number.

Part 6: Challenge (Optional)

  1. Simplify: 3x + 5 + 7x + 2 = ______
  2. Evaluate: 4x + 3y – 2z, if x = 2, y = 3, z = 1
  3. Solve: 2(x + 3) = 14
  4. Solve: 5(y – 2) = 20
  5. Simplify: 6a + 3b – 2a + 5b = ______
  6. Evaluate: 3p + 2q – r, if p=1, q=2, r=3
  7. Solve: x/5 + 3 = 7
  8. Simplify: 7m + 4n – 3m + 2n = ______
  9. Solve: 2x + 3 = 11
  10. Word problem: Twice a number increased by 6 equals 18. Find the number.

Class 6 Algebra Worksheet – Answer Key

Part 1: Identify the Variable and Coefficient

ExpressionVariableCoefficient
5xx5
7yy7
12aa12
9bb9
3mm3
8nn8
15pp15
6qq6
11rr11
4ss4

Part 2: Simplify Algebraic Expressions

  1. 3x + 5x = 8x
  2. 7y + 2y = 9y
  3. 6a + 4a = 10a
  4. 9b + 3b = 12b
  5. 5m + 7m = 12m
  6. 8n + 12n = 20n
  7. 14p + 6p = 20p
  8. 10q + 5q = 15q
  9. 11r + 9r = 20r
  10. 6s + 14s = 20s

Part 3: Evaluate Algebraic Expressions

Given: x=3, y=4, z=2

  1. 5x + 2 = 5×3 + 2 = 17
  2. 3y + 7 = 3×4 + 7 = 19
  3. 4z + 6 = 4×2 + 6 = 14
  4. 2x + 3y = 2×3 + 3×4 = 6 + 12 = 18
  5. 6y + 5z = 6×4 + 5×2 = 24 + 10 = 34
  6. 7x – 2 = 7×3 – 2 = 21 – 2 = 19
  7. 5y – 3 = 5×4 – 3 = 20 – 3 = 17
  8. 9z + 4 = 9×2 + 4 = 18 + 4 = 22
  9. 3x + 2y + z = 3×3 + 2×4 + 2 = 9 + 8 + 2 = 19
  10. 2x + 3y – z = 2×3 + 3×4 – 2 = 6 + 12 – 2 = 16

Part 4: Solve Simple Equations

  1. x + 5 = 12 → x = 12 – 5 = 7
  2. y – 7 = 9 → y = 9 + 7 = 16
  3. 3x = 15 → x = 15 ÷ 3 = 5
  4. 2y = 14 → y = 14 ÷ 2 = 7
  5. x/4 = 3 → x = 3 × 4 = 12
  6. 5y = 35 → y = 35 ÷ 5 = 7
  7. z + 8 = 17 → z = 17 – 8 = 9
  8. 6x – 4 = 14 → 6x = 14 + 4 = 18 → x = 3
  9. 7y + 3 = 24 → 7y = 21 → y = 3
  10. 8z – 5 = 19 → 8z = 24 → z = 3

Part 5: Word Problems

  1. Number + 7 = 15 → Number = 8
  2. 3 × Number = 18 → Number = 6
  3. Number ÷ 4 = 5 → Number = 20
  4. Number + 9 = 20 → Number = 11
  5. 2 × Number – 6 = 10 → 2 × Number = 16 → Number = 8
  6. Number + 12 = 25 → Number = 13
  7. Number + 5 = 20 → Number = 15
  8. 4 × Number + 3 = 19 → 4 × Number = 16 → Number = 4
  9. Number – 7 = 10 → Number = 17
  10. 6 × Number – 4 = 32 → 6 × Number = 36 → Number = 6

Part 6: Challenge (Optional)

  1. 3x + 5 + 7x + 2 = 10x + 7
  2. 4x + 3y – 2z, x=2, y=3, z=1 → 4×2 + 3×3 – 2×1 = 8 + 9 – 2 = 15
  3. 2(x + 3) = 14 → x + 3 = 7 → x = 4
  4. 5(y – 2) = 20 → y – 2 = 4 → y = 6
  5. 6a + 3b – 2a + 5b = 4a + 8b
  6. 3p + 2q – r, p=1, q=2, r=3 → 3×1 + 2×2 – 3 = 3 + 4 – 3 = 4
  7. x/5 + 3 = 7 → x/5 = 4 → x = 20
  8. 7m + 4n – 3m + 2n = 4m + 6n
  9. 2x + 3 = 11 → 2x = 8 → x = 4
  10. Twice a number + 6 = 18 → 2 × Number = 12 → Number = 6