Writing Two-Step Equations from Word Problems

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 represent 'twice a number' in an equation?

Back

'Twice a number' is represented as 2x, where x is the number.

Front

What does 'increased by' mean in mathematical terms?

Back

'Increased by' means to add a certain value to another value.

Front

If a number is decreased by 5, how is this represented in an equation?

Back

This is represented as x - 5, where x is the original number.

Front

What is the first step to solve the equation 2x + 6 = -72?

Back

The first step is to subtract 6 from both sides of the equation.

Front

How do you isolate the variable in the equation 12x + 14 = 50?

Back

To isolate x, first subtract 14 from both sides, then divide by 12.

Front

What does the term 'combined' indicate in a word problem?

Back

The term 'combined' indicates that you should add the quantities together.

Front

How do you write an equation for a total cost problem?

Back

You write an equation by adding fixed costs to variable costs, e.g., fixed cost + (cost per item * number of items) = total cost.

Front

What is the solution to the equation 11x + 6 = 39?

Back

The solution is x = 3.

Front

How do you express 'the cost of x tickets at $0.50 each' in an equation?

Back

This is expressed as 0.50x.