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 by performing the same operation on both sides of the equation to isolate the variable.

Front

How do you solve the equation 110 = -11m?

Back

To solve for m, divide both sides by -11: m = 110 / -11 = -10.

Front

What is the solution to the equation 3w = 15?

Back

To solve for w, divide both sides by 3: w = 15 / 3 = 5.

Front

How do you solve the equation \( \frac{2}{3}x = -4 \)?

Back

To solve for x, multiply both sides by the reciprocal of \( \frac{2}{3} \): x = -4 * \( \frac{3}{2} \) = -6.

Front

What is the solution to the equation a - 19 = -30?

Back

To solve for a, add 19 to both sides: a = -30 + 19 = -11.

Front

How do you isolate the variable in the equation -14 = j - 20?

Back

To isolate j, add 20 to both sides: j = -14 + 20 = 6.

Front

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

Back

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

Front

What is the principle of balancing equations?

Back

The principle of balancing equations states that you can perform the same operation on both sides of an equation without changing the equality.

Front

How do you check the solution of an equation?

Back

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

Front

What is the first step in solving the equation 2x - 3 = 5?

Back

The first step is to add 3 to both sides: 2x = 5 + 3.