Solving Equations

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(s) of the variable(s) that make the equation true.

Front

What is the first step in solving the equation 2x - 3 + 4x = 27?

Back

Combine like terms to simplify the equation: 6x - 3 = 27.

Front

How do you isolate the variable in the equation 6x - 3 = 27?

Back

Add 3 to both sides to get 6x = 30, then divide by 6 to find x = 5.

Front

What is the solution to the equation 2x - 3 = 1?

Back

x = 2.

Front

What is the distributive property in solving equations?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

Front

How do you apply the distributive property to the equation 3(b - 4) = -3?

Back

Distribute 3 to both b and -4: 3b - 12 = -3.

Front

What is the solution to the equation 3b - 12 = -3?

Back

Add 12 to both sides to get 3b = 9, then divide by 3 to find b = 3.

Front

What is the process to solve -11 + 3(b + 5) = 7?

Back

First, distribute 3: -11 + 3b + 15 = 7, then combine like terms and isolate b.

Front

What is the solution to the equation -11 + 3(b + 5) = 7?

Back

b = 1.