When solving these problems, make sure to remember the rules for adding rational numbers (positive + positive = positive; negative plus negative = negative etc.) Adding/Subtracting Decimals Adding/Subtracting using a Number Line Have any questions? Feel free to leave a comment down below!
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1.7 Power Rules
To raise a power to a power. multiply the exponents. ex. (2+2)4= 44= 256 power rule can be applied to both products and quotients
1.6: Exponent Laws
If the exponent have the same base all raised to the same power, it will equal ‘1’ Anything to the power of 0 will always equal ‘1’ when there is an exponent multiplying another exponent with the same base, add the exponents to simplify it when there is an exponent dividing another exponent with the…
1.5: Orders of Operations
B Brackets E Exponents D Division M Multiplication A Addition S Subtraction Brackets are the top priority for order of operations. If there are bigger brackets around another set of brackets, work from inside out Exponents are below brackets. If there are no brackets, do exponents first, and if there are brackets, do the brackets…
1.4: Defining a Power
Exponential Notation: ex. 2x2x2x2x2 = 25 ex. 2x2x2x2x2x2= 26 ex. 2x2x2x2x2x2x2= 27 Notes: Even number of negative signs= positive number Odd number of negative signs= negative number –26 is ONLY putting the ‘2’ to the power of 5, NOT the negative. Therefore, the answer would still be negative because (-)(2)(2)(2)(2)(2)(2) = -64 (-2)6 is putting…
1.3: Square Roots of Non-Perfect Squares
Non Perfect Squares: numbers that can’t be multiplied into by two of the same rational numbers Ex. √48, √33, √6 These numbers are non-perfect squares because no numbers can multiply into it by itself (2×2 won’t work, 3×3 won’t work, 4×4 won’t work, 5×5 work work etc.) non-perfect squares are considered to be irrational
1.1: The Real Number System
Natural Numbers: Positive Whole Numbers (no decimals or fractions) NOT INCLUDING ‘0’ ex. 1,2,3,4,5,6,7,8,9,10,11……….. Whole Numbers: Positive Whole Numbers (no decimals or fractions) INCLUDING ‘0’ ex. 0,1,2,3,4,5,6,7,8,9,10,11……….. Integers: All Whole Numbers (no decimals or fractions) that are positive or negative. ex. -5,-4,-3,-2,-1,0,1,2,3,4,5 Rational Numbers: Any numbers that can be turned into a fractions. ex. 2,…
2.1: Polynomials
Polynomial: An expression that contains variables and coefficients ex. 5xy2 – 3x + 5y3 – 3 Term: A term consists of a variable and a coefficient ex. 5x Monomial: A polynomial containing only ‘1’ term ex. 5xy2 Binomial: A polynomial containing ‘2’ terms ex. 5xy2 – 3x Trinomial: A polynomial containing ‘3’ terms ex. 5xy2 – 3x + 5y3 …
5.3 Equations of Parallel and Perpendicular Lines
Notes: Parallel lines have the same slope Perpendiculines lines have negative reciprocals of each other The slope of standard form (Ax + By = C) is – A/B Equations for Parallel and Perpendicular Lines Graphing Parallel and Perpendicular Lines Parallel and Perpedicular Lines Questions and Answer (Example) If you need more help, comment below!
5.4 Linear Applications and Modelling
Word Problems Still have questions? Leave them in the comments below!