Equations: Adding and Subtracting

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.

Front

What is the purpose of adding or subtracting in equations?

Back

Adding or subtracting helps to isolate the variable on one side of the equation to find its value.

Front

If x - 67 = 329, how do you isolate x?

Back

Add 67 to both sides of the equation: x = 329 + 67, which simplifies to x = 396.

Front

What is the first step to solve the equation 192 + x = 450?

Back

Subtract 192 from both sides: x = 450 - 192.

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the equation to find the total cost if you know the cost of one item and the total spent?

Back

Total Cost = Cost of Item + Cost of Other Items.

Front

If Samuel spent $534.85 in total and bought a tire for $79.95, how do you find the cost of the rims?

Back

Use the equation: r + 79.95 = 534.85, where r is the cost of the rims.

Front

What is the value of r if r + 79.95 = 534.85?

Back

r = 534.85 - 79.95, which simplifies to r = 454.90.

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means to manipulate the equation so that the variable is on one side by itself.