Download CC MATH I STANDARDS: UNIT 4 WARM UP: Solve each equation

CC MATH I STANDARDS: UNIT 4
WARM UP: Solve each equation and SHOW WORK!
2) 7y = - 42
3) 8r = 10
x
 12
1)
3
5) 6n = 20
6)
7) -3z = - 42
5
y  10
7
4)
z
 4
4
8)
3
y  6
4
CALCULATOR USE REMINDER: You MUST SHOW YOUR WORK before using the calculator!
5.1 SOLVING PROPORTIONS
RATIO: a comparison of two numbers by __________________________

Examples: (a)
3
5
(b) 10 to 4 =
(c) 7:21 =
(d) 6 to 9 =
PROPORTION: an equation stating that ____________________________________ are ______________.
CROSS PRODUCTS
(Cross Multiply)
“The cross product of proportions
are equal”
a c

b d
CROSS denominators of fractions
to opposite numerators by
multiplication
Definition:
The multiplications of numerators
with the opposite denominators
must be equal in a proportion.
Algebraic:
a
b
ad
EXAMPLE:
4 x

7 21
c
d
 bc

PRACTICE:
1)
5 75

3 n
2)
9 63

m 35
3)
r
7

100 8
4)
18 3

24 a
5)
m4 9

6
18
6.
y y4

8
10
7)
5
13

c c8
8)
z9 z

4
5
UNIT CONVERSIONS:
Create and solve a proportion with a variable using standard equivalent measurements.
1 inch = 2.54 centimeters
12 inches = 1 foot
5280 feet = 1 mile
100 centimeters = 1 meter
Common Equivalent Measurements:
1000 meters = 1 kilometer
60 minutes = 1 hour
24 hours = 1 day
2 cups = 1 pint
2 pints = 1 quart
4 quarts = 1 gallon
1000 grams = 1 kilogram
16 ounces = 1 pound
1) 160 minutes to hours
EXAMPLES:
2) 72 ounces to pounds
3) 69 inches to feet
4) 15 meters to centimeters
5) 4 miles to feet
6) 15 pints to quarts
CONVERTING PERCENTS AND DECIMALS
PERCENT  DECIMAL
DECIMAL  PERCENT
________________________ the percent by 100
OR
Move the decimal point 2 places to the __________
___________________ the decimal by 100
OR
Move the decimal point 2 places to the __________
1) 123%
Examples: Convert between decimal and percent
5) 4.1%
9) 0.04%
13) 78.2%
17) 0.0745
2) 0.45
6) 0.09
10) 0.006
14) 1.05%
18) 0.34%
3) 2.38
7) 0.2
11) 67%
15) 20.95
19) 23.87%
4) 37%
8) 5.2%
12) 0.72
16) 1.009
20) 3.1