Word Problems

Front

What is a word problem?

Back

A word problem is a mathematical problem that is presented in the form of a narrative or story, requiring the reader to extract relevant information and formulate a mathematical equation to find a solution.

Front

How do you identify the important information in a word problem?

Back

Look for key numbers, relationships, and what is being asked. Highlight or underline these elements to help focus on the necessary data.

Front

What is the first step in solving a word problem?

Back

Read the problem carefully to understand what is being asked and identify the relevant information.

Front

What does it mean to write an equation from a word problem?

Back

It means to translate the information and relationships described in the problem into a mathematical equation that can be solved.

Front

How do you solve the equation x + 2x + 5 + x = 25?

Back

Combine like terms to get 4x + 5 = 25, then subtract 5 from both sides to get 4x = 20, and finally divide by 4 to find x = 5.

Front

If Diego scores 11 more points than Travis and together they score 21 points, how can you express this relationship mathematically?

Back

Let Travis's score be T. Then Diego's score can be expressed as T + 11. The equation is T + (T + 11) = 21.

Front

What is the total number of students if 4 students rode in cars and the rest filled 9 buses with a total of 472 students?

Back

The equation is 4 + 9x = 472, where x is the number of students per bus.

Front

How do you calculate the number of weeks Gabby needs to save for a jacket costing $64 if she starts with $14 and saves $5 each week?

Back

Set up the equation: 14 + 5w = 64, where w is the number of weeks. Solve for w to find it takes 10 weeks.

Front

What is the cost of one box of cereal if Maria has $25, buys milk for $3.50, and each box of cereal costs $4.50?

Back

After buying milk, Maria has $25 - $3.50 = $21. She can buy 21 / 4.50 = 4 boxes of cereal.

Front

What does it mean to combine like terms in an equation?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power to simplify the equation.