Transcript Equation Word Problems - Lesson 4

Steps to Solving Word
Problems
1.
2.
3.
4.
5.
6.
7.
Use a variable to represent the unknown quantity
Express any other unknown quantities in terms of
this variable, if possible.
Write an equation, and solve it.
State the answer to the problem.
Check your answer by substituting in the problem.
If Age question, use a chart to organize
information.
If a distance, time, speed question, use a chart to
organize information.
The sum of two consecutive odd
numbers is 32. What are the
numbers
Let x represent the one number.
Let (x + 2 ) represent the other number.
Equation: x + (x + 2) = 32
x + (x + 2) = 32
Things to Remember:
Use a variable to represent the
unknown quantity
2x +2 = 32
Express any other unknown
quantities in terms of this
variable, if possible.
2x + 2 - 2 = 32 - 2
Write an equation, and solve it.
2x = 30
2x = 30
2
2
State the answer to the
problem.
x = 15
x + 2 = 17
Check your answer by
substituting in the
problem.
The sum of two consecutive even
numbers is 34. What are the
numbers
Things to Remember:
Equation:
Use a variable to represent the
unknown quantity
Express any other unknown
quantities in terms of this
variable, if possible.
Write an equation, and solve it.
State the answer to the
problem.
Check your answer by
substituting in the
problem.
The sum of two consecutive even
numbers is 34. What are the
numbers
Let x represent the one number.
Let (x + 2 ) represent the other number.
Equation: x + (x + 2) = 34
x + (x + 2) = 34
Things to Remember:
Use a variable to represent the
unknown quantity
2x +2 = 34
Express any other unknown
quantities in terms of this
variable, if possible.
2x + 2 - 2 = 34 - 2
Write an equation, and solve it.
2x = 32
2x = 32
2
2
State the answer to the
problem.
x = 16
x + 2 = 18
Check your answer by
substituting in the
problem.
You have 3 less nickels than dimes.
If you have $1.05, how many dimes
do you have?
(Money Question)
Let x represent the number of dimes.
Let (x - 3) represent the number of nickels.
Equation: 0.1x + 0.05(x - 3) = 1.05
0.1x + 0.05x - 0.15 = 1.05
Things to Remember:
Use a variable to represent the
unknown quantity
0.15x - 0.15 = 1.05
Express any other unknown
quantities in terms of this
variable, if possible.
0.15x - 0.15 + 0.15 = 1.05 + 0.15
Write an equation, and solve it.
0.15x = 1.20
0.15x = 1.20
0.15
0.15
State the answer to the
problem.
x=8
Check your answer by
substituting in the
problem.
(Money Question)
You have 6 less nickels than quarters.
If you have $2.40, how many quarters
do you have?
Things to Remember:
Equation:
Use a variable to represent the
unknown quantity
Express any other unknown
quantities in terms of this
variable, if possible.
Write an equation, and solve it.
State the answer to the
problem.
Check your answer by
substituting in the
problem.
You have 6 less nickels than quarters.
If you have $2.40, how many quarters
do you have?
(Money Question)
Let x represent the number of quarters.
Let (x - 6) represent the number of nickels.
Equation: 0.25x + 0.05(x - 6) = 2.40
0.25x + 0.05x - 0.3 = 2.40
Things to Remember:
Use a variable to represent the
unknown quantity
0.3x - 0.3 = 2.40
Express any other unknown
quantities in terms of this
variable, if possible.
0.3x - 0.3 + 0.3 = 2.40 + 0.3
Write an equation, and solve it.
0.3x = 2.70
0.3x = 2.70
0.3
0.3
State the answer to the
problem.
x=9
Check your answer by
substituting in the
problem.
(Distance, speed, NO TIME)
Jim ran 1.3 times faster than Bill during the
100 m dash. The difference in their speed
was 18 m / h. Find the speed of each racer.
Let x represent the speed of Bill.
Let 1.3x represent the speed of Jim.
Equation: 1.3x - x = 18
1.3x - x = 18
Things to Remember:
Use a variable to represent the
unknown quantity
Express any other unknown
quantities in terms of this
variable, if possible.
0.3x = 18
Write an equation, and solve it.
0.3x = 18
0.3
0.3
State the answer to the
problem.
x = 60 m / h
1.3x = 78 m / h
Check your answer by
substituting in the
problem.
Jill biked 2.1 times faster than Amy during a
race. The difference in their speed was
(Distance, speed, NO TIME)
22 km / h. Find the speed of each racer.
Things to Remember:
Equation:
Use a variable to represent the
unknown quantity
Express any other unknown
quantities in terms of this
variable, if possible.
Write an equation, and solve it.
State the answer to the
problem.
Check your answer by
substituting in the
problem.
Jill biked 2.1 times faster than Amy during a
race. The difference in their speed was
(Distance, speed, NO TIME)
22 km / h. Find the speed of each racer.
Let x represent the speed of Amy.
Let 2.1x represent the speed of Jill.
Equation: 2.1x - x = 22
2.1x - x = 22
Things to Remember:
Use a variable to represent the
unknown quantity
Express any other unknown
quantities in terms of this
variable, if possible.
1.1x = 22
Write an equation, and solve it.
1.1x = 22
1.1
1.1
State the answer to the
problem.
x = 20 km / h
2.1x = 42 km/ h
Check your answer by
substituting in the
problem.
Class Work
Pass in Lesson 3(3) - Equation Word
Problem Assignment.
Copy down examples
Complete Lesson 4 (Page 169 - #13-17)