Solving Equations

Front

What is an equation?

Back

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

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is the first step in solving the equation 3(x - 2) = 18?

Back

Distribute the 3 to both terms inside the parentheses: 3x - 6 = 18.

Front

How do you isolate a variable in an equation?

Back

You can isolate a variable by performing inverse operations to both sides of the equation.

Front

What is the solution to the equation -8 + 5x - 2 = 20?

Back

x = 6.

Front

Write the formula for the amount of water left in a tub draining at 6 gallons per minute with an initial amount of 40 gallons.

Back

y = -6x + 40.

Front

Back

a = -6.

Front

What is the solution to the equation 4x + 3 = -5?

Back

x = -2.

Front

What is the purpose of using inverse operations in solving equations?

Back

Inverse operations help to cancel out terms and isolate the variable.

Front

What does it mean if an equation has no solution?

Back

It means that there are no values for the variable that can satisfy the equation.