Easy Level Worksheet Questions
Interactive Simple Equations Worksheet
Note: Answer each question with steps and explanation. Write down the answers on sheet and submit to the school subject teacher.
Simple equations are mathematical statements showing equality between two expressions with one unknown variable. Learning to solve equations is fundamental for algebra and helps develop logical thinking skills essential for advanced mathematics and problem-solving in real life.
Let's start with basic equation writing and simple solving techniques.
1. Write an equation for: "Twice a number is 12."
Step 1: Let the unknown number be x
Step 2: "Twice a number" means 2 × x = 2x
Step 3: Equation:
Perfect! "Twice a number is 12" translates to 2x = 12.
2. Find the solution of: x + 5 = 9
Step 1: Subtract 5 from both sides
Step 2: x = 9 - 5 =
Excellent! To solve x + 5 = 9, subtract 5 from both sides: x = 4.
3. Write an equation for: "A number increased by 7 equals 15."
Step 1: "A number increased by 7" means x + 7
Step 2: Equation:
Great! "Increased by" means addition: x + 7 = 15.
4. Solve: y - 4 = 6
Step 1: Add 4 to both sides
Step 2: y = 6 + 4 =
Perfect! To solve y - 4 = 6, add 4 to both sides: y = 10.
5. If x - 8 = 12, find x.
Step 1: Add 8 to both sides
Step 2: x = 12 + 8 =
Excellent! Adding 8 to both sides gives x = 20.
6. Write the equation for: "The sum of a number and 4 is equal to 10."
Step 1: "Sum of a number and 4" means x + 4
Step 2: Equation:
Great! "Sum" indicates addition: x + 4 = 10.
7. Solve: 2x = 14
Step 1: Divide both sides by 2
Step 2: x = 14 ÷ 2 =
Perfect! Dividing both sides by 2 gives x = 7.
8. Write the equation for: "Three times a number equals 21."
Step 1: "Three times a number" means 3x
Step 2: Equation:
Excellent! "Three times" means multiplication: 3x = 21.
9. If x/5 = 3, find x.
Step 1: Multiply both sides by 5
Step 2: x = 3 × 5 =
Great! Multiplying both sides by 5 gives x = 15.
10. Solve: m + 9 = 20
Step 1: Subtract 9 from both sides
Step 2: m = 20 - 9 =
Perfect! Subtracting 9 from both sides gives m = 11.
Drag each equation to the operation needed to solve it:
Part B: Short Answer Questions (2 Marks Each)
1. Solve: 3x = 27
Step 1: Apply division property
Divide both sides by 3: x = 27 ÷ 3
Step 2: Calculate result
x =
Perfect! When coefficient of x is 3, divide both sides by 3.
2. Solve: x - 5 = 15
Step 1: Apply addition property
Add 5 to both sides: x = 15 + 5
Step 2: Calculate result
x =
Excellent! To eliminate subtraction, add the same amount to both sides.
3. If 2x + 3 = 11, find x.
Step 1: Isolate the term with x
Subtract 3 from both sides: 2x = 11 - 3 =
Step 2: Solve for x
Divide by 2: x = 8 ÷ 2 =
Outstanding! Two-step equation: first isolate 2x, then divide by 2.
4. Solve: y/4 = 7
Step 1: Apply multiplication property
Multiply both sides by 4: y = 7 × 4
Step 2: Calculate result
y =
Perfect! To eliminate division, multiply both sides by the divisor.
5. Write the equation for: "A number when divided by 3 gives 8" and solve it.
Step 1: Write the equation
Equation:
Step 2: Solve the equation
Multiply both sides by 3: x = 8 × 3 =
Excellent! "Divided by 3" translates to x/3, solution is x = 24.
Test your understanding with these multiple choice questions:
For each question, click on the correct answer:
1. If x + 4 = 9, then x is:
(a) 5 (b) 13 (c) 4 (d) 3
Correct! To solve x + 4 = 9, subtract 4 from both sides: x = 9 - 4 = 5.
2. The solution of 2x = 10 is:
(a) 8 (b) 5 (c) 6 (d) 4
Correct! To solve 2x = 10, divide both sides by 2: x = 10 ÷ 2 = 5.
3. If x - 7 = 0, then x is:
(a) 0 (b) 7 (c) -7 (d) 1
Correct! To solve x - 7 = 0, add 7 to both sides: x = 0 + 7 = 7.
4. The solution of x/6 = 3 is:
(a) 18 (b) 12 (c) 9 (d) 15
Correct! To solve x/6 = 3, multiply both sides by 6: x = 3 × 6 = 18.
5. Equation for "A number decreased by 5 is 8" is:
(a) x - 5 = 8 (b) x + 5 = 8 (c) 5 - x = 8 (d) x - 8 = 5
Correct! "A number decreased by 5" means subtract 5 from the number: x - 5 = 8.