Equation Solving Quiz

What is your goal when you solve an equation?

• To find the value of a constant

• To get the variable alone on one side of the equation

• To eliminate the variable

• To balance both sides of the equation without solving for the variable

Answer explanation

The goal when solving an equation is to get the variable alone on one side of the equation.

What does the value of the other side of an equation tell you after solving it?

• The complexity of the equation

• The original problem

• The solution of the original equation

• The next equation to solve

Answer explanation

The value of the other side of an equation tells you the solution of the original equation after solving it.

What are inverse operations used for in mathematics?

• To perform the same operation repeatedly

• To combine like terms

• To undo each other to get the variable alone

• To multiply variables

Answer explanation

Inverse operations are used to undo each other and isolate the variable in mathematics.

What is the Subtraction Property of Equality?

• If a = b, then a + c = b + c

• If a = b, then a - c = b - c

• If a = b, then a × c = b × c

• If a = b, then a ÷ c = b ÷ c

Answer explanation

The Subtraction Property of Equality states that if a = b, then a - c = b - c. Therefore, the correct choice is: If a = b, then a - c = b - c.

In the context of arithmetic, if you have the equation 10 = 2(5), what would be the result after applying the Subtraction Property of Equality by subtracting 5 from both sides?

• 10 - 5 = 2(5) - 5

• 5 = 2(5)

• 10 = 2(5) + 5

• 15 = 2(5)

Answer explanation

After applying the Subtraction Property of Equality, the result would be 10 - 5 = 2(5) - 5, which is the correct choice.

If Angel's target heart rate is 125 beats/min and this is 53 beats/min more than his resting heart rate, what is his resting heart rate?

• 72 beats/min

• 178 beats/min

• 82 beats/min

• 75 beats/min

Answer explanation

Angel's resting heart rate is 125 - 53 = 72 beats/min, so the correct answer is 72 beats/min.

What is the value of 'r' in the equation 130 = 58 + r?

• 72

• 68

• 188

• 82

Answer explanation

To find the value of 'r', subtract 58 from 130. Therefore, r = 130 - 58 = 72. So, the correct answer is 72.

What is the inverse operation of addition?

• Multiplication

• Division

• Subtraction

• Exponentiation

Answer explanation

The inverse operation of addition is subtraction, where you take away a number from the total to find the original number.

If the equation is 125 = 53 + r, what is the value of r after subtracting 53 from both sides?

• 72

• 178

• 80

• 53

Answer explanation

Subtracting 53 from both sides of the equation gives 125 - 53 = r, which simplifies to r = 72. Therefore, the value of r is 72.

What should you do after solving an equation to ensure your solution is correct?

• Substitute the solution back into the original equation and check if both sides are equal.

• Solve the equation again

• Ask someone else to solve it

• Guess if the solution might be correct

Answer explanation

The correct choice is to substitute the solution back into the original equation and check if both sides are equal.