Lesson 1
Polynomials (1)
Percent: Percent means parts per 100. The symbol is % used to show percent.
So 17% means 17 per 100.
A percent can also be expressed as a decimal or fraction
Gordon purchased a television when his local electronics
store had a sale. The television was offered at 30% off its
original price of $472.
What was the sale price that Gordon paid?
Ratio:
A ratio shows the relative sizes
of two or more values.
Ratios can be shown in
different ways. Using the ":" to
separate example values, or as
a single number by dividing
one value by the total.
Example: If there are 4 boys and 6 girls write each of the
following as a ratio
boys to girls _____ girls to people ______
Can these ratios be written in other ways? Explain.
Proportion
Proportion says that two ratios
(or fractions) are equal.
Example: 1:3 = 2:6
Practice
1. Rick renovated his home. He made his bedroom 40% larger (length and width) than its original size. If
the original dimensions were 144 inches by 168 inches, how big is his room now if measured in feet?
2. Maria paid $28.00 for a jacket that was discounted by 30%. What was the original price of the jacket?
3. Derek received 6 job offers from the 15 interviews he did. Which ratio best describes the relationship
between the number of jobs he was not offered and the number of jobs for which he interviewed?
Integer: A number that can be written with no fractional component.
Includes: The counting numbers {1, 2, 3, …}, zero, and the negative of the counting numbers {1, -2, -3, …}
We can write them all down like this: {…, -3, -2, -1, 0, 1, 2, 3, …}
Order of Operations:
The rules that say which calculations come first in an expression
BEDMAS
B – Brackets, do all operations in brackets first
E – Exponents
DM – Divide and Multiply, do them from left to right
AS – Add and subtract, do them from left to righ
Rational Number: A number that can be written as a fraction.
Example: ½, -3/4, 7/2, 1, -80, 1.5
Rules to recall
Multiplication
To multiply two rational numbers multiply the numerators and denominators separately
Division
To divide two rational numbers, first flip the second number over (make it a reciprocal) and then do a multiplication
Addition and Subtraction
Before we add or subtract, the rational numbers should have the same denominator. Then add or subtract the
numerators and keep the denominator the same.
Collecting Like Terms