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.

Front

What does the term 'constant' mean in an equation?

Back

A constant is a fixed value that does not change, such as numbers like 5, -3, or 12.

Front

What is the equation for the total cost of buying 5 shirts at $20 each?

Back

Total cost = 5(20) = $100.

Front

How do you represent a situation where a number is increased by 7?

Back

You can represent it as x + 7.

Front

What is the equation for the total cost of renting a bike for x hours at $10 per hour plus a $5 fee?

Back

Total cost = 10x + 5.

Front

What is the solution to the equation 4 + 2x = 12?

Back

x = 4.