Two Step Equations 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 isolate a variable in a two-step equation?

Back

To isolate a variable, perform the inverse operations in the reverse order of how they are applied.

Front

What does it mean to solve a word problem involving a two-step equation?

Back

It means translating the problem into a mathematical equation and then solving for the unknown variable.

Front

In the equation 4x + 7 = 23, what is the first step to solve for x?

Back

Subtract 7 from both sides to get 4x = 16.

Front

If a taxi charges a flat fee plus a per-mile fee, how can you represent this with an equation?

Back

Let x be the number of miles; the equation is total charge = flat fee + (per-mile fee * x).

Front

What is the first step to solve the equation 14h = 112?

Back

Divide both sides by 14 to find h.

Front

In the problem, 'Emma scored 1 more than twice Nick's goals', how do you express Nick's goals in an equation?

Back

Let x be Nick's goals; the equation is 2x + 1 = 15.

Front

What is the solution to the equation 7x + 35 = 63?

Back

First, subtract 35 from both sides to get 7x = 28, then divide by 7 to find x = 4.

Front

What does the term 'variable' mean in algebra?

Back

A variable is a symbol, often a letter, that represents an unknown value.

Front

How can you check if your solution to a two-step equation is correct?

Back

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