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Solving the simplest equations
Solving simple equations typically involves isolating the variable on one side of the equation. Remember to perform the same operation to both sides of the equation to maintain equality.
Questions: 10Estimated time: 11 minutes
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Question 1out of 10
3x = 21. Find x.
Divide the total by the number of equal parts. For a × x = b, the solution is x = b ÷ a. In the pack problem, divide the total price by the number of packs and check by multiplication.
Question 2out of 10
Lukas had x stickers. After receiving 11 more, he has 17. How many stickers did he have?
Find the unknown starting amount or addend by subtracting the known added amount from the final total. For x + a = b, the solution is x = b − a. Check by addition.
Question 3out of 10
Solve: x ÷ 8 = 8.
For x ÷ a = b, find the dividend by multiplying the quotient by the divisor: x = b × a. Check that dividing the result by a gives b.
Question 4out of 10
Solve: 5x + 9 = 79.
Undo the operations in reverse order. For a × x + b = c, first subtract b from c, then divide the difference by a: x = (c − b) ÷ a. Substitute the solution into the original equation to check.
Question 5out of 10
x + 25 = 34. Find x.
Find the unknown starting amount or addend by subtracting the known added amount from the final total. For x + a = b, the solution is x = b − a. Check by addition.
Question 6out of 10
Solve: x − 3 = 17.
For x − a = b, find the starting number by adding the difference and the amount subtracted: x = b + a. Substitute the result into the original equation and check by subtraction.
Question 7out of 10
Solve: x − 11 = 16.
For x − a = b, find the starting number by adding the difference and the amount subtracted: x = b + a. Substitute the result into the original equation and check by subtraction.
Question 8out of 10
Calculate the value of X
193 × X = 7527
193 × X = 7527
Use the inverse operation. A missing addend equals the sum minus the known addend; a missing subtrahend equals the starting number minus the difference; a missing factor equals the product divided by the known factor; a missing divisor equals the dividend divided by the quotient. Substitute X back into the original equation to check.
Question 9out of 10
10 identical packs cost 90 euros. How much does one pack cost?
Divide the total by the number of equal parts. For a × x = b, the solution is x = b ÷ a. In the pack problem, divide the total price by the number of packs and check by multiplication.
Question 10out of 10
Calculate the value of X
225 + X = 265
225 + X = 265
Use the inverse operation. A missing addend equals the sum minus the known addend; a missing subtrahend equals the starting number minus the difference; a missing factor equals the product divided by the known factor; a missing divisor equals the dividend divided by the quotient. Substitute X back into the original equation to check.
Time left: 00:00:00
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Sample questions
- Calculate the value of X
- x + ___ = ___. Find x.
- ___x = ___. Find x.
- Lukas had x stickers. After receiving ___ more, he has ___. How many stickers did he have?
- ___ identical packs cost ___ euros. How much does one pack cost?
Solving simple equations
An equation is a statement of equality containing an unknown. Solving it means finding a value that makes both sides equal. An equation can be viewed as a balance: an operation performed on one side must also be performed on the other.
Inverse operations
- Solve x + a = b by subtracting a.
- Solve x − a = b by adding a.
- Solve a × x = b by dividing by a.
- Solve x ÷ a = b by multiplying by a.
Substitute the resulting value into the original equation. If the left and right sides are equal, the solution is correct. Before choosing an operation, identify how the unknown is connected to the known number.
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