Algebra 1 - Solving Word Problems

Questions and Answers

What is the first step in solving word problems?

Visualize the problem.

Which of the following is the equation to solve the word problem: Sam has 4 red balloons and 8 purple balloons. Judy has 12 red balloons and 4 orange balloons. How many red balloons do Sam and Judy have together?

x = 4 + 4

x = 12 + 8

x = 4 * 3

x = 8 + 4

x = 4 + 12 (correct)

Which of the following is NOT an important part of the word problem about Lucy's rabbit?

Lucy's rabbit gave birth to 2 boy and 8 girl bunnies.

All of these are equally important to this word problem.

Sam's rabbit gave birth to 4 boy and 3 girl bunnies. (correct)

Lucy's rabbit recently had a litter of bunnies.

How many boy rabbits were born altogether?

6 Signup and view all the answers

How many red balloons do Sam and Judy have together?

16 Signup and view all the answers

When solving a word problem, what should you do after visualizing the problem?

Write the equations. Signup and view all the answers

What operations are needed to solve the word problem: Joe has 8 Dalmatians. Sarah has 3 fewer Dalmatians than Joe. How many Dalmatians do they have together?

Subtraction and addition Signup and view all the answers

How many Dalmatians do Joe and Sarah have together?

13 Signup and view all the answers

How many blue pens does Sarah now have?

6 Signup and view all the answers

Which of the following is an equation to solve the word problem: Joe has four blue pens and three green pens. Sarah gives Joe four blue pens and two green pens. How many blue pens does Sarah now have?

x = 10 - 4 Signup and view all the answers

What is the first step in solving a word problem?

Visualize it. Signup and view all the answers

What kinds of notes should you take?

Important notes that will help you solve the problem. Signup and view all the answers

What parts of your word problem should you sketch?

The important parts that will help you answer your problem. Signup and view all the answers

Which of these statements is an important part of the word problem about Drew and Barry's competition that you should sketch and make note of?

Drew is going to bake 15 pies. Signup and view all the answers

How many total pies will be baked between Drew and Barry?

30 Signup and view all the answers

What important thing do you have to remember when restating word problems?

The restated word problem must be essentially the same problem. Signup and view all the answers

If Joy spends 45 minutes on the boat to get to work which takes an overall total of two hours, how long does she spend driving?

1 hour 15 minutes Signup and view all the answers

Study Notes

Solving Math Word Problems

First step in solving word problems is to visualize the problem to better understand it.
To determine the total number of red balloons Sam and Judy have, use the equation: x = 4 + 12, which gives a total of 16 red balloons.
In a problem involving baby rabbits, the detail about Sam’s rabbit's litter is not essential for answering Lucy's part; focus on Lucy's litter.
Total number of boy rabbits born from both Sam's and Lucy's rabbits is 6 (4 from Sam's and 2 from Lucy's).
Combined total of red balloons from Sam (4) and Judy (12) equals 16.
After visualizing the problem, the next step is to write the equations based on the information given.
Operations needed for calculating total Dalmatians are subtraction (Sarah's count) and addition (total between Joe and Sarah).
Total Dalmatians owned by Joe and Sarah is 13—Joe has 8 and Sarah has 5 (3 fewer than Joe).
When Sarah gives Joe pens, she originally has 10 blue pens; after giving away 4, she has 6 blue pens left.
The correct equation for Sarah's blue pens after giving some to Joe is: x = 10 - 4.
Visualization is reiterated as the first step again, emphasizing its importance.
Take important notes that aid in solving the problem effectively.
Sketch the significant components of the word problem to clarify details that lead to the solution.
An important component to note from a baking competition scenario is Drew baking 15 pies.
Total pies baked by Drew and Barry in the bake-off is 30, as both are baking 15 pies each.
When restating word problems, ensure the essence of the problem remains the same.
Joy spends 1 hour 15 minutes driving to work after deducting 45 minutes spent on the boat from the total 2 hours.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Description

Test your knowledge on solving math word problems with this flashcard quiz. Learn the steps involved in visualizing and establishing equations based on word problems. Perfect for Algebra 1 students looking to enhance their problem-solving skills.