College Algebra Essentials 1e Julie Miller (Solution Manual with Test bank)

Steps to Complete the Square - CORRECT ANSWERS-1. Move Constant to the right
2. Add (coefficient/2)^2 to both sides
3. Square both sides
4. Split into 2 possible solutions
5. Get 2 solutions

quadratic formula - CORRECT ANSWERS-

compound interest formula - CORRECT ANSWERS-

simple interest formula - CORRECT ANSWERS-

distance formula - CORRECT ANSWERS-D=R X T

complex numbers - CORRECT ANSWERS-

discriminant formula - CORRECT ANSWERS-if D> 0: 2 real solutions
if D<0: 2 non-real solutions
if D=0 : exactly 1 solution

factor by grouping - CORRECT ANSWERS-

inequality signs - CORRECT ANSWERS-

when the inequality sign changes - CORRECT ANSWERS-if you multiply or dividing
both sides of the inequality by a negative number it changes the direction of the sign

when the inequality sign does not change - CORRECT ANSWERS-if you add or
subtract both sides of the inequality

solving a compound inequality with and - CORRECT ANSWERS-it will involve the word
and- first solve each inequality separately- then find the intersection of the two solution
sets

interval notation of compound inequalities with the word or - CORRECT ANSWERS-will
have the union sign U

greater/ less than or equal to - CORRECT ANSWERS-filled in circle

greater than/ less than - CORRECT ANSWERS-open circle



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, quadrants - CORRECT ANSWERS-

midpoint formula - CORRECT ANSWERS-

distance formula - CORRECT ANSWERS-

standard form of a circle - CORRECT ANSWERS-center of the circle: (h,k)
radius: r

general form of a circle - CORRECT ANSWERS-

converting general form to standard form - CORRECT ANSWERS-find the center,
radius, and intercepts, rearrange the terms then complete the square then factor

positive slope - CORRECT ANSWERS-

negative slope - CORRECT ANSWERS-

zero slope - CORRECT ANSWERS-

slope - CORRECT ANSWERS-m= rise/ run

point slope form - CORRECT ANSWERS-m: slope of the line

slope intercept form - CORRECT ANSWERS-m: slope
b: y intercept

standard form slope and y intercept - CORRECT ANSWERS-Ax + By = C slope: m= -
A/B
y intercept: C/B

horizontal line equation - CORRECT ANSWERS-y = b b: the y coordinate of any point
on the line

two non-vertical lines are parallel if - CORRECT ANSWERS-they have the same slopes

two non-vertical lines are perpendicular if - CORRECT ANSWERS-the product of their
slopes is -1

vertical line test - CORRECT ANSWERS-

when saying if a function is increasing, decreasing, or constant in interval notation use -
CORRECT ANSWERS-parentheses and not brackets

even function - CORRECT ANSWERS-symmetric across the y axis



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