Sewanhaka High School
Math 8
Name:___________________________________ Per:___
Date:_________________
Mrs. Lidowsky, Principal
Mr. Long, Teacher
H.W. #18: Ditto
DO-NOW #18: Solve the following problems. Show work:
1) Microsoft lost $21,000 in the first quarter of the year. They lost the same amount each of the other three
quarters. How much money did Microsoft lose for the year?
2.
3
2) Simplify using the Laws of Exponents: (a) 3x 4x =
(b)
3) Solve and Check the following equation: -2(3x + 1) – 2x = -4(2x) – 4
Solve:
Check: Let x =
Topic: Expressions and Equations
Main Idea: Ratio and Rates
Aim:
RECALL
At the last school dance, (
),
(
), (
), and (
) drank
Pepsi. (
), (
), and
(
) drank Sprite.
What do we mean by the word ratio?
How many Pepsi drinkers do we have?
How many total number of drinkers do we
have?
What do we call the numbers 4 and 7?
What is the ratio of Pepsi drinkers to total
number of drinkers?
How would you compare drinkers to Sprite
drinkers?
What if the ratio equaled 8 to 14? Could it be
simplified?
Express the each ratio in simplest form:
A) 24 inches to 1 yard:
NOTES
A ratio compares
24 x 5 y 3 z 2
=
6x3 y 3 z 6
Recall
Notes
B) The number of shaded squares to the
total number of squares.
What is a rate?
A rate compares two measurements with
_____________ units such as cents to pounds.
When a rate is simplified so it has a denominator
of 1, it is called a _____________.
You have $9.75 for 2.5 pounds of candy.
Write that as a rate.
If Mr. Long’s Corvette gets 300 miles on 10
gallons of gas. How many miles does his
Corvette get on 1 gallon of gas?
30 miles/1 gal: What type of rate is that
called?
Drill: Answer the following questions:
1) Write the ratio 8 to 6
2) Order the following
in simplest form and then ratios from least to
take that answer and
greatest:
write it in two other
7
3
2 to 9, 1:7,
, 2 to 6,
ways.
28
10
Summary:
3) Write the equivalent
300 mi
? mi
rate:
=
20 sec
1 min
4) Write the following
ratio as a unit rate:
140 words
=
4 min