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 Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the solution to the equation 4c = 20?

Back

c = 5.

Front

What is the solution to the equation 13 = t + 7?

Back

t = 6.

Front

What is the solution to the equation 3w = 30?

Back

w = 10.

Front

How do you apply the Distributive Property to the equation 4(x + 2) = 16?

Back

First, distribute: 4x + 8 = 16, then isolate x to find x = 2.

Front

What is the solution to the equation 5x - 14 = 8x + 4?

Back

x = -6.

Front

What is a variable in an equation?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation.