1 st quarter review Test is Friday!!!

Number Patterns arithmetic patterns: –have a common difference between all terms geometric patterns: –common ratio between all terms think of it as: –arithmetic: we add or subtract to get the next term –geometric: we multiply or divide to get the next term

Example Give the next 5 terms in the patterns: 2, 4, 6, 8,… 2, 6, 18,…

Another sequence… What is the pattern? 1, 2, 9, 16, 25, 36, …

Primes & Composites prime number: –has only two different factors, one and the number itself composite number: –has more than two factors the number one (1) is neither prime nor composite!

Greatest Common Factor using two or more numbers find the prime factorization of both numbers find what they have in common, and that is the GCF example:190360

Least Common Multiple find the GCF then, multiply in the leftover numbers example:32100

Fractions Vocabulary Review fraction: improper fraction: mixed fraction:

Least Common Denominator uses the least common multiple of the denominators Example: What is the LCD for:

Adding/Subtracting Fractions must have common denominators adding mixed numbers: –add fractions first –add whole numbers –reduce the fraction, if needed subtracting mixed numbers: –subtract fractions first, borrowing if needed –subtract whole numbers –reduce the fraction, if needed

Examples Find the sum or difference:

Examples Find the sum or difference:

Multiplying/Dividing Fractions multiplying fractions: –multiply numerators –multiply denominators –reduce, if needed dividing fractions: –flip the second fraction –multiply the fractions –reduce, if needed mixed numbers: –change into improper fractions

Examples Find the product or quotient:

Vocabulary Review Mean: Median: Mode:

Percents means per hundred or divided by 100 you can change percents to a reduced fraction or a decimal use multiplication to find the percent of a number

Example Find 5% sales tax on a CD selling for $12.95.

Example Estimate 74% of 840.

Example A sale sign says 20% off, save $30! What is the original cost of the item?

Example Margo knows that the tax on the new coat she bought was $12.60 and that the sales tax rate was 7%. What was the cost of her new coat?

Multiplication Properties of Exponents When two powers have the same base, add the exponents and keep the base When finding a power of a power, multiply the exponents When finding the power of a product, “distribute” the power to each part of the product

Negative & Zero Exponents Negative exponents make the number or variable a reciprocal Anything raised to a zero exponent is 1

Division Properties of Exponents When dividing two powers with the same base, subtract the exponents When finding a power of a quotient, “distribute” the power to top and bottom

Scientific Notation Uses powers of 10 to write decimal numbers Contains a number between 1 and 10 that is multiplied by a power of 10

Example 1 Write expressions for the perimeter and the area of the rectangle: 3x+5 x

Example 2 Evaluate each expression if m = 4, n = -3, and t = 0: 2m + 3(4n) 3 (5n 3 – 2s 7 )t 9m – 4m 2 – m 2 + m + 5n 2

Example 3 Write an expression for the perimeter of: n 3n n n

Example 1 Solve each equation:

Example 3 Solve:3x + 5 = 6

Example 5 Solve:

Perimeter The distance around a polygon, shape, object, etc. When you have a flat figure, add up all the sides Circles: use the formula C = 2πr = πd

Area Area of square = (side) 2 Area of rectangle/parallelogram = base x height Area of triangle = ½ x base x height Area of trapezoid = ½ x height x (base + base) Area of circle = πr 2

Surface Area Surface area is the sum of the areas of all its bases and faces i.e. like wrapping a present

Formulas Surface Area of a Rectangular Prism Surface Area of a Cylinder Surface Area of a Cone

Volume of a Prism Area of the base Height

Volume of a Pyramid Area of the Base Height

Volume of a Cylinder

Volume of a Cone

Volume of a Sphere