Ch. 1-5 Notes Review

Algebra I Class Notes Review Ch 1-5 Mrs. Cataldo Class Notes Ch 1-5 Review Order of Operations: P____ E______ M__ D_____ A_____ S_____ 2² -(3+4) · 3 (2+1)² -3 + 4 · 3 Distributive Rule: Write as a sum. a. 6(x – 3) = b. 7 – (x -4) = Writing Expressions: p 16 #24 Functions: Definition of a function:__________________________________ Look at pg 82. Which are functions and which are not? Direct Variation y= ____ , a _______ that goes through the _____ with slope ____ eg: ____________ Linear Function y = ____ + b, a line with slope a, and ________ b eg:_____________ Inverse Function y = ___ , a is the ___________ of variation graph is a ______________ eg: ____________ Deducing a function from a table of x and y values: 2 p 93 #7 a. b. c. d. e. f. Definition of an INTEGER __________________________________ Adding and subtracting positive and negative numbers: a. Write as an addition equation: 6 – 4 = 6 --4 = -6 -4 = Multiplying and dividing positive and negative numbers: -+ -+ Rational Numbers: Definition _________________________________________________ Write an integer as a quotient of two integers: 3 = Write a fraction as a decimal: ¾ = 2/3 = A rational number can be expressed by a ___________________ or ______________ decimal. Give examples of both. ______________________ Absolute value: 3 Definition ___________________________________________________ if x is positive if x is negative = = Fill in the circles with > or < -7 Approximations: When rounding decimals, round ______ if the following digit is less than 5 and round ______ if it is greater than 5. Round 6.025 to the nearest hundredth. _________ p 168 #11 Graphing a function: Strategy: Make a table of ___ and ____ and plot eg: 2x + 3y = 6 x y 4 Solving for x: perform the SAME operation on __________________ of the equals sign eg: Solve for x (Note you can only solve for x in terms of y because you only have one equation with two variables.) 3x + 2y = 6 Practice: Solve for x. x/2 – 15 = 0 5(x -3) = 25 4(x -1) – x = 11 Perimeter: Distance ___________ the object Add the ______________, units are singular eg. p 216 #7c Area: Space taken up by a two dimensional figure Multiply length times ____________, units are squared eg. p 217 # 8c Rate = distance traveled per unit of time 5 miles per hour = miles/hour Formula: d = r· t Solve for r in terms of d and t p222#7 p 229 #7