Flashcard on One-Step Equations with Integers

Front

What is a one-step equation?

Back

A one-step equation is an algebraic equation that can be solved in a single step, typically by performing an inverse operation to isolate the variable.

Front

How do you solve the equation m - 7 = 1?

Back

To solve m - 7 = 1, add 7 to both sides of the equation: m = 1 + 7, which simplifies to m = 8.

Front

What is the solution to the equation 12x = 60?

Back

To solve 12x = 60, divide both sides by 12: x = 60 / 12, which simplifies to x = 5.

Front

How do you isolate the variable in the equation x + 20 = -1?

Back

To isolate x in the equation x + 20 = -1, subtract 20 from both sides: x = -1 - 20, which simplifies to x = -21.

Front

What is the value of a in the equation -14 = -7a?

Back

To find a in the equation -14 = -7a, divide both sides by -7: a = -14 / -7, which simplifies to a = 2.

Front

How do you solve for f in the equation 45 + f = 48?

Back

To solve for f in the equation 45 + f = 48, subtract 45 from both sides: f = 48 - 45, which simplifies to f = 3.

Front

What is the inverse operation of addition?

Back

The inverse operation of addition is subtraction.

Front

What is the inverse operation of multiplication?

Back

The inverse operation of multiplication is division.

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means manipulating the equation to get the variable alone on one side of the equation.

Front

What is the first step to solve the equation x - 5 = 10?

Back

The first step is to add 5 to both sides of the equation: x = 10 + 5, which simplifies to x = 15.