Sewanhaka High School
Math 8
Per:________________
Name:________________________________
Mrs. Lidowsky, Principal
Mr. Long, Teacher
Date:_____________________
H.W. #45: Ditto
DO-NOW #45:
Solve the following system of equations algebraically.
Determine which method to use and make sure to check:
1) 2x + y = 12
2) y = 2x - 3
x+y= 4
6x – 2y = 10
Topic: Expressions and Equations
Main Idea: Using System of Equations to Solve Word Problems
Aim:
RECALL
NOTES
The sum of two numbers is seven. Three times the
larger number decreased by twice the smaller is 6.
What are the numbers? Write a system of
equations in terms of two variables that can be
used to help solve the problem. Make sure to
check your answer.
Joe decides to go on a shopping spree. He bought
six belts and eight hats for $140. A week later, at
the same prices, he bought nine belts and six hats
for $132. Find the price of a belt and the price of a
hat.
3) If x = 8 and z = 2, then
find 3(2x + z)
Drill: Answer the following questions: Write a
system of equations in terms of two variables that
can be used to help solve the problem. Make sure
to check your answer.
1) When Jevin cashed a check for $170, the bank
teller gave him 12 bills. Some of those bills were
$20 bills and the rest of the bills were $10 bills.
How many bills of each kind did the bank teller
give Jevin?
2) One year, Malik and his wife Dajahnae together
earned $47,000. If Malik earned $4,000 more than
Dajahnae earned that year, how much did each
person earn?
Summary:
If time: Answer the following questions: Write a
system of equations in terms of two variables that
can be used to help solve the problem. Make sure
to check your answer.
At a lunch counter, three pretzels and one cup of
soda cost $2.75. Two pretzels and one cup of soda
cost $2.00. Find the cost of pretzel and the cost of
a cup of soda.