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

Back

Multiply both sides by 5 to eliminate the fraction.

Front

Back

x = 10.

Front

How do you combine like terms in the equation 2x - 3 + 4x = 27?

Back

Add the coefficients of x (2 and 4) to get 6x - 3 = 27.

Front

What is the solution to the equation 2x - 3 + 4x = 27?

Back

x = 5.

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 apply the distributive property to the equation 6(5x - 3) + 2 = 14?

Back

Distribute 6 to both terms inside the parentheses: 30x - 18 + 2 = 14.

Front

What is the solution to the equation 6(5x - 3) + 2 = 14?

Back

x = 1.

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to manipulate the equation so that the variable is on one side and all other terms are on the opposite side.