one step equation

Front

What is a one-step equation?

Back

A one-step equation is an algebraic equation that can be solved in a single operation, such as addition, subtraction, multiplication, or division.

Front

How do you solve the equation 7c = 49?

Back

To solve 7c = 49, divide both sides by 7. Thus, c = 49 / 7 = 7.

Front

What is the first step to solve a one-step equation involving division, such as a/5 = 12?

Back

Multiply both sides of the equation by 5 to isolate 'a'. So, a = 12 * 5 = 60.

Front

How do you isolate the variable in the equation k/9 = 36?

Back

Multiply both sides by 9 to solve for k. Therefore, k = 36 * 9 = 324.

Front

What is the solution to the equation w + 4 = -2?

Back

Subtract 4 from both sides to isolate w. Thus, w = -2 - 4 = -6.

Front

How do you solve the equation a/6 = 12?

Back

Multiply both sides by 6 to find 'a'. Therefore, a = 12 * 6 = 72.

Front

What operation would you use to solve the equation x - 3 = 5?

Back

Add 3 to both sides to isolate x. Thus, x = 5 + 3 = 8.

Front

What is the importance of inverse operations in solving equations?

Back

Inverse operations are used to isolate the variable by reversing the operation applied to it, allowing for the solution of the equation.

Front

How can you check your solution for the equation 2x = 10?

Back

Substitute the solution back into the original equation. If both sides are equal, the solution is correct.

Front

What is the general form of a one-step equation?

Back

A one-step equation can generally be expressed as ax = b, x + c = d, or x - c = d, where a, b, c, and d are constants.