writing two step equations

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable.

Front

How do you isolate a variable in a two-step equation?

Back

To isolate a variable, perform the inverse operations in reverse order: first undo addition or subtraction, then undo multiplication or division.

Front

What is the first step to solve the equation 2x + 3 = 11?

Back

Subtract 3 from both sides to get 2x = 8.

Front

What is the second step to solve the equation 2x = 8?

Back

Divide both sides by 2 to find x = 4.

Front

Translate the phrase 'three times a number decreased by 4' into an equation.

Back

3x - 4 = y.

Front

What does the equation 4 + 6x = 18 represent?

Back

It represents the statement 'Four more than six times a number is 18'.

Front

How can 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.

Front

What is the equation for the total cost if an item costs $15 each and you buy x items?

Back

Total cost = 15x.

Front

If 6n + 7 = 331, how do you find n?

Back

First, subtract 7 from both sides to get 6n = 324, then divide by 6 to find n = 54.

Front

What does the equation 65 = 5x + 10 represent in a word problem?

Back

It represents a situation where the number of quarters is 10 more than 5 times the number of nickels.