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 the variable in the equation 7x + 19 = -2x + 55?

Back

Combine like terms and move all terms involving x to one side and constant terms to the other side.

Front

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

Back

x = -2.

Front

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

Back

First, distribute 6, then combine like terms, and isolate x.

Front

What does the equation 0 = 8z + 8 represent?

Back

It represents a linear equation where the solution for z can be found by isolating z.

Front

What is the solution to the equation 0 = 8z + 8?

Back

z = -1.

Front

What is the importance of checking your solution in an equation?

Back

Checking ensures that the solution satisfies the original equation, confirming its correctness.

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one.