Mac 1105 - Study guides, Class notes & Summaries

How to test for x-axis symmetry? - correct answer (x,-y) How to test for y-axis symmetry? - correct answer (-x,y) How to test for origin symmetry? - correct answer (-x,-y) Quadratic Formula - correct answer -b±[√b²-4ac]/2a midpoint formula - correct answer (x₁+x₂)/2, (y₁+y₂)/2 b^2-4ac<0 - correct answer no real (2 imaginary) b^2-4ac=0 - correct answer 1 real solution b^2-4ac>0 - correct answer 2 real solutions indi...

Standard form - correct answer Ax+By=C General form - correct answer Ax+By+C=0 Slope Intercept form - correct answer y=mx+b Point Slope form - correct answer y-y₁=m(x-x₁) Finding Slope formula - correct answer y₂-y₁/x₂-x₁ Difference Quotient - correct answer f(x+h)-f(x)/h Average Rate of Change - correct answer f(x₂)-f(x₁)/x₂-x₁ Inverse function - correct answer (f o g)(x)=x and (g o f)(x)=x Even Functions formul...

40x + 25 = 5(3x - 30) - correct answer Conditional; {-7} Solve the equation. - correct answer (5) Decide whether the equation is an identity, a conditional equation, or a contradiction. Give the solution set. 7(x - 8) + (-10x) = -3(x + 6) + 10 - correct answer Contradiction; ∅ A = P(1 + nr), for r - correct answer r=A-P/Pn Solve for y. 2x - 9(x + y) = y - x - correct answer y=-3/5x Simplify the power of i. i51 - correct answer -i 7[-2x -...

polynomial function - correct answer a function that is represented by a polynomial equation. f(x) = ax^n + ax^n-1 + ax + a real numbers - correct answer the set of rational and irrational numbers except for imaginary numbers and infinity. Degree of a polynomial - correct answer The degree of the term of the polynomial with the greatest degree Zero function - correct answer f'(x) = 0 constant function - correct answer f(x) = a, a cannot equal 0 linear ...

i^2 = - correct answer -1 i^3= - correct answer -i i^4= - correct answer 1 i^5= - correct answer i Every fourth power of i (i^4 = , i^8 =, i^12 = ...) = - correct answer 1 To simplify a power of i, write the expression as i to a power of 4, multiplied by - correct answer i, i^2, or i^3 Pythagorean Theorem - correct answer a^2+b^2=c^2 Quadratic formula - correct answer x=-b+-√(b^2-4ac)/2a Only (x^2-1) separates into (x+1)(x-1), not...

Natural numbers - correct answer Counting numbers {1,2,3,4...} Brackets - correct answer Show it is a set of numbers Whole Numbers - correct answer Natural numbers with 0 {0,1,2,3,4...} Integers - correct answer Positive and Negative Whole numbers {...-3,-2,-1,0,1,2,3...} Rational numbers - correct answer All integers are rational numbers, also repeated and terminating decimals Irrational numbers - correct answer Any real number that is not rational, ...

-7/21 - correct answer Rational -3 - correct answer Interger -21/7 - correct answer Interger √4 i - correct answer Interger 0 - correct answer Whole 0/π - correct answer Whole 0/πi - correct answer Whole 3 - correct answer Natural √9 - correct answer Natural π/4 - correct answer Irrational 4/π - correct answer Irrational √21 - correct answer Irrational √-21 i - correct answer Irration...

18r²s - 18rs² + 30rs - correct answer 6rs(3r - 3s + 5) 7rs - 4cr - 28cs + 16c² - correct answer (7s - 4c)(r - 4c) 3p² - 8p + 1 - correct answer Prime 8x² - 41x - 42 - correct answer (8x + 7)(x - 6) 15z² - 2z - 8 - correct answer (3z + 2)(5z - 4) 8r³+ 125 - correct answer (2r + 5)(4r² - 10r + 25) (5m³ + 5m - 5) - (2m³ - 8m - 1) - correct answer 3m³ + 13m - 4 y²+3y-70/y²-49 - correct answer y+10/y+7 (Provided y ≠ 7) -13...

This document shows a detailed step by step explanation on how to solve linear equations in two variables algebraically.

Final exam study questions and answers