Translating Word Problems into Algebra

This video tutorial focuses on solving word problems in linear equations and algebra. It emphasizes the importance of translating worded information into algebraic expressions, providing strategies and tips for tackling these problems. The tutorial includes example problems with step-by-step solutions and concludes with practice recommendations to enhance problem-solving skills.

Why is it important to translate word problems into algebraic expressions?

• To memorize the steps for solving equations.

• To avoid using any mathematical formulas.

• To build the skill of translating between English and algebra.

• To find the exact numerical answer quickly.

What is the first step in approaching a word problem?

• Write down the final answer immediately.

• Identify and perform the first step you can think of.

• Memorize the sequence of steps needed.

• Ignore the problem and move on.

Why is it important to define variables clearly in word problems?

• To ensure the equation reads as a complete and accurate sentence.

• To make the problem more complex.

• To avoid using any numbers in the problem.

• To confuse the reader.

What is a useful tool for organizing information in word problems?

• A thesaurus.

• A table.

• A dictionary.

• A calculator.

How do you express the number of days in w weeks?

• d = 7 + w

• d = w/7

• d = 7w

• d = w + 7

What is the largest of three consecutive integers that add up to 72?

• 22

• 23

• 24

• 25

If Allen has twice as many lollies as Brendan, and Chris has one more than Brendan, how many lollies does Chris have if there are 65 lollies in total?

• 18

• 17

• 15

• 16

What are the dimensions of the new garden bed if it is one meter wider and two meters longer than the original square garden bed?

• 4m by 5m

• 5m by 6m

• 6m by 7m

• 7m by 8m

How old is the son if the parent is one more than 11 times the son's age, and in nine years, the parent will be seven more than three times the son's age?

• 2 years

• 3 years

• 4 years

• 5 years

How long did Nathan spend on the bike if he cycled at 30 km/h and ran at 16 km/h, covering a total of 170 km in 6.25 hours?

• 7 hours

• 6 hours

• 5 hours

• 4 hours