7th Grade 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 5x + 4 = -6?

Back

Subtract 4 from both sides to isolate the term with the variable: 5x = -10.

Front

How do you isolate a variable in an equation?

Back

You isolate a variable by performing inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the solution to the equation 5x + 4 = -6?

Back

x = -2.

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 and graphs as a straight line.

Front

How do you check if your solution to an equation is correct?

Back

You substitute the solution back into the original equation to see if both sides are equal.

Front

What is the equation for the total cost if you buy a magazine for $5 and four erasers?

Back

5 + 4x = 25, where x is the cost of each eraser.

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, often resulting in a contradiction.

Front

What is the solution to the equation 96 = 6(k + 8)?

Back

k = 8.