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 8x - 10 = -34?

Back

Add 10 to both sides to isolate the term with the variable.

Front

What is the solution to the equation 8x - 10 = -34?

Back

x = -3.

Front

What does the distributive property state?

Back

The distributive property states that a(b + c) = ab + ac.

Front

How do you apply the distributive property to -7(6 + d)?

Back

Multiply -7 by both 6 and d: -7*6 + -7*d = -42 - 7d.

Front

What is the solution to the equation -7(6 + d) = 49?

Back

d = -13.

Front

What is the combined like terms in the equation 2x - 3 + 4x = 27?

Back

Combine 2x and 4x to get 6x.

Front

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

Back

x = 5.

Front

What is the first step in solving the equation 3(x - 4) = -3?

Back

Divide both sides by 3 to isolate the term with the variable.