Download Word Problem Lesson #3.notebook

Word Problem Lesson #3.notebook
September 21, 2016
Classification of Equations and Word Problems
Do Now: Please solve each of these by yourself!!
7x ­ 3 = 5x + 5 7x ­ 3 = 7x + 5
7x ­ 3 = ­3 + 7x
Word Problem Lesson #3.notebook
September 21, 2016
Word Problem Lesson #3.notebook
September 21, 2016
Word Problem Lesson #3.notebook
September 21, 2016
There are THREE types of Equations:
1) one solution (unique)
2) no solution (empty set or ). When you simplify, 0
the coefficients of x are the same on each side and the constants are different. 5x + 10 = ­3 + 5x
R
3) infinitely many solutions (all real numbers ). When you simplify, the coefficients of x AND the constants are the same. 6x ­ 9= ­9 + 6x
Word Problem Lesson #3.notebook
September 21, 2016
How many solutions does the equation 2x-1=2(x-2) +3
have?
How many solutions does the equation 2(x-4)=2x+10
have?
Word Problem Lesson #3.notebook
September 21, 2016
Solving word problems: Variables on Both Sides
8.EE.7.B
Word problems are short stories. Here are the steps for a linear equation (ONE VARIABLE).
1) Pick a variable and LET the reader know what letter we are choosing. 2) Write an EQUATION matching the problem.
3) Solve 4) CHECK in words Word Problem Lesson #3.notebook
September 21, 2016
When 15 is added to twice a number, the result is the same as
when 3 is added to 5 times the number. What is the number?
Let statement:
Word Problem Lesson #3.notebook
September 21, 2016
At Silver Gym, membership is $25 per month, and personal training
sessions are $30 each. At Fit Factor, membership is $65 a month,
and personal training sessions are $20 each. In one month, how
many personal training sessions would Sarah have to buy to make
the total cost at the two gyms equal? Hint: What is the key word
here?
Let statement:
Word Problem Lesson #3.notebook
September 21, 2016
In your groups...
Ten more than three times a number is five times the
number. Find the number. How many solutions are there
that satisfy this problem?