Topic 7: One-Step and Two-Step Equations Review

Front

What is a one-step equation?

Back

A one-step equation is an equation that can be solved in a single step, typically by adding, subtracting, multiplying, or dividing both sides by the same number.

Front

What is a two-step equation?

Back

A two-step equation is an equation that requires two steps to solve, usually involving a combination of addition or subtraction followed by multiplication or division.

Front

How do you solve the equation 3h + 9 = 0?

Back

Subtract 9 from both sides to get 3h = -9, then divide by 3 to find h = -3.

Front

What does it mean to isolate a variable?

Back

Isolating a variable means rearranging an equation so that the variable is on one side and all other terms are on the other side.

Front

What is the first step to solve the equation 4x + 10 = -26?

Back

Subtract 10 from both sides to get 4x = -36.

Front

What is the solution to the equation -5z + 5 = -30?

Back

First, subtract 5 from both sides to get -5z = -35, then divide by -5 to find z = 7.

Front

What is the solution to the equation 4x + 2 = -18?

Back

Subtract 2 from both sides to get 4x = -20, then divide by 4 to find x = -5.

Front

What does it mean when an equation has no solution?

Back

An equation has no solution when there is no value for the variable that makes the equation true, often resulting in a contradiction.

Front

What is the solution to the equation 3(h + 9) = 0?

Back

First, divide both sides by 3 to get h + 9 = 0, then subtract 9 to find h = -9.

Front

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

Back

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