Equations with Integers

Front

What is an integer?

Back

An integer is a whole number that can be positive, negative, or zero, but not a fraction or decimal.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.

Front

What is the first step in solving the equation -4x + 1 = 21?

Back

The first step is to isolate the term with the variable by subtracting 1 from both sides.

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 -12x = -60?

Back

x = 5.

Front

What is the process to solve the equation 7 + a/3 = 5?

Back

Subtract 7 from both sides, then multiply by 3 to solve for a.

Front

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

Back

x = -2.

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 52 = -5x - 3?

Back

x = -11.

Front

What does it mean for an equation to have no solution?

Back

An equation has no solution when there is no value for the variable that can satisfy the equation.