Solve One-Step Equations

Front

What is a coefficient in an equation?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression. For example, in the expression -5y, -5 is the coefficient of y.

Front

How do you simplify an expression using distribution?

Back

To simplify an expression using distribution, you multiply each term inside the parentheses by the term outside. For example, -3(x + 7) becomes -3x - 21.

Front

What is the solution to the equation -10k = 50?

Back

To solve for k, divide both sides by -10. Thus, k = 50 / -10 = -5.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side. For example, in x + 4 = -3, subtract 4 from both sides to get x = -3 - 4, which simplifies to x = -7.

Front

What does it mean to solve for a variable?

Back

Solving for a variable means finding the value of that variable that makes the equation true.

Front

What is the solution to the equation m/5 = -3?

Back

To solve for m, multiply both sides by 5. Thus, m = -3 * 5 = -15.

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 is the purpose of using inverse operations in solving equations?

Back

Inverse operations are used to undo operations applied to a variable, allowing you to isolate the variable and find its value.

Front

What is the first step in solving a one-step equation?

Back

The first step in solving a one-step equation is to identify the operation being performed on the variable and then apply the inverse operation to both sides of the equation.

Front

How do you check your solution to an equation?

Back

To check your solution, substitute the value back into the original equation to see if both sides are equal.