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

Back

Multiply both sides by 5 to eliminate the fraction.

Front

How do you isolate a variable in an equation?

Back

You can isolate a variable by performing inverse operations to both sides of the equation.

Front

What is the solution to the equation 3p - 1 = 5?

Back

p = 2.

Front

What is the value of x in the equation -4x - 14 = 6?

Back

x = -5.

Front

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

Back

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

Front

What is the solution to the equation 4a + 3 = 15?

Back

a = 3.

Front

What is the value of p in the equation 7p + 9 - p = 4p - 2?

Back

p = -\frac{11}{2}.

Front

What is a variable in an equation?

Back

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