Real Life Word Problems Linear Equations and Inequalities

Real Life Word Problems Linear Equations and Inequalities

Words we USE in Math

Let's look at some of the words we use in Math.

Open Ended

Can you think of another word we may use in real life for addition?

Open Ended

Can you think of another word we may use in real life for subtraction?

Open Ended

Can you think of another word we may use in real life for multiplication?

Open Ended

Can you think of another word we may use in real life for division?

Expressions and equations using words?

• Example 1

• 3x + 6

• 6 more than three times a number

• Example 2

• 4 (x + 6)

• Four times the sum of x and 6

Two  more example

•  $\frac{y-\ 2}{4}\$  

• The difference of y and 2, divided by 4
  

•  $\frac{n\ +\ 5}{2}\ =\ 10$  

• half the sum of the number n added by 5 is 10

Multiple Choice

YOU TRY: What is the correct phrase for this equation? 9- x = 7

• the sum of nine and x is 7

• The product of nine minus x is 7

• x less than 9 is 7

• The quotient of nine and 7 is x

Multiple Choice

One More? What is the correct phrase of the following equation? 

 x + $\frac{4}{5}$   = 8

• The sum of x and 4 divided by 5 is 8

• The quotient of x and 4 plus five is equal to 8

  
  

• 4 divided by 5 is equal to x plus 8

• 8 is equal to 4 and x and 5

Linear Equations and Inequalities

IF we can write expressions, we can write and solve Equations and Inequalities

Strategies for Solving Real World WORD problems.

• Read through the entire problem.

• Highlight the important information and key words that you need to solve the problem.

• Identify your variables

• Write the equation or inequality.

• Solve

Open Ended

Let's Practice: What important information do I need to know?

Micah has a base pay of $200 per month and earns an extra “x” dollars in commission for one month. His total pay for the month $1200. How much commission he earned for that month?

Open Ended

Write the equation?

Micah has a base pay of $200 per month and earns an extra “x” dollars in commission for one month. His total pay for the month $1200. How much commission he earned for that month?

Open Ended

Solve this equation:

200 + x = 1200

Multiple Choice

Another Problem:

Which equation represents the following: The number of parts in inventory, p, minus 54 parts sold today is 320.

• P + 54 = 320

• 54 - p = 320

• p - 54 = 320

• 54p = 320

Multiple Choice

Final Problem

SOLVE:

A TV's store gave customers 1/2 off the price of a TV ( x )and charged a $50 delivery fee. The total cost is $350. What is the price of the TV before the discount?

• $800

• $700

• $600

• $900

Inequality Word problems

• The cost of a gallon of orange juice is $3.50. What is the maximum number of containers you can buy for $15 without going over?

Open Ended

What important information?

The cost of a gallon of orange juice is $3.50. What is the maximum number of containers you can buy for $15?

Open Ended

Write the equation:

The cost of a gallon of orange juice is $3.50. What is the maximum number of containers you can buy for $15?

Open Ended

Solve:

The cost of a gallon of orange juice is $3.50. What is the maximum number of containers you can buy for $15?

Recap and Questions

• We reviewed what words we use in math problems

• We created word problems from expressions and equations

• We learned strategies to solve linear equations and inequalities

Poll

Did this lesson help improve your knowledge of writing and solving linear equation and inequality word problems?

• Yes I loved this lesson. I do not need any help.

• Somewhat, I need some help with some things but not all.

• No, I really do not understand and I need help with it all.