8.5 Practice - 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 a variable in mathematics?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation or expression.

Front

What is the first step in solving the equation 5x + 4 = 5x - 3?

Back

Subtract 5x from both sides to simplify the equation.

Front

What does it mean if an equation has 'no solution'?

Back

It means that there are no values for the variable that can satisfy the equation.

Front

How do you combine like terms in an equation?

Back

You add or subtract the coefficients of the same variable to simplify the expression.

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 operation is performed to both sides of the equation to maintain equality?

Back

You can add, subtract, multiply, or divide both sides of the equation by the same number.

Front

What is the solution to the equation -5 - 7y = -20y + 34?

Back

y = 3.

Front

How do you write an equation based on a word problem?

Back

Identify the quantities involved and their relationships, then express them using variables and mathematical operations.