Solving one-step Equations

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 involving the addition, subtraction, multiplication, or division of a variable.

Front

How do you solve the equation 10x = 90?

Back

To solve for x, divide both sides by 10: x = 90/10, which simplifies to x = 9.

Front

What is the first step to solve the equation a - 10 = 6?

Back

Add 10 to both sides of the equation to isolate a: a = 6 + 10, which simplifies to a = 16.

Front

How do you solve the equation 8 = k/5 for k?

Back

Multiply both sides by 5 to isolate k: k = 8 * 5, which simplifies to k = 40.

Front

What does it mean to 'solve for x'?

Back

To 'solve for x' means to find the value of the variable x that makes the equation true.

Front

What is the equation to find the total number of cupcakes Martha will bake if each class needs 24 cupcakes?

Back

The equation is x/3 = 24, where x represents the total number of cupcakes.

Front

What is the principle of balancing equations in algebra?

Back

The principle of balancing equations states that whatever you do to one side of the equation, you must do to the other side to maintain equality.

Front

What operation would you use to isolate x in the equation x + 5 = 12?

Back

You would subtract 5 from both sides to isolate x: x = 12 - 5, which simplifies to x = 7.

Front

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

Back

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

Front

What is the solution to the equation 3x = 12?

Back

Divide both sides by 3: x = 12/3, which simplifies to x = 4.