solve 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 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 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 in the equation 2x + 3(5x - 7) = 47?

Back

Distribute 3 to both 5x and -7 to get 2x + 15x - 21 = 47.

Front

What is the next step after applying the distributive property in 2x + 15x - 21 = 47?

Back

Combine like terms to simplify the equation.

Front

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

Back

d = -13.

Front

What is the purpose of isolating the variable in an equation?

Back

Isolating the variable helps to find its value by getting it alone on one side of the equation.

Front

What is the solution to the equation -3x + 5 = -16?

Back

x = 7.