Test Ch. 0 Flashcards
Area of triangle
Area of rectangle or square
length * width
perimeter of square, rectangle, triangle
add all sides
Find the perimeter and area of a figure when given points A (x,y) B (x,y)
1) Draw points and figure out what shape it is
2) Find the distance between A-B and B-C, A-C, etc.
3) Use formula for area
4) add all sides to find perimeter
Find distance of a straight line
subtract, answer always positive
horizontal line: subtract x2-x1
Vertical line : y2-y1
Find distance of a diagonal
Distance formula
Distance formula
Find the center of a circle (h, k) using endpoints
Find the midpoint
Equation of a circle in standard form
When adding or subtracting fractions
Find the common denominator on all sides. Figure out one side first, then the other
side 1 = side 2
Find a general form of an equation passing through (a,b) and (b,c)
1) find the slope
2) write in point-slope or slope-intercept form
3) Solve
4) arrange in form ax + by+ c = 0
Slope formula
Rise/run
point-slope form
Slope-intercept form
y= mx + b
Parallel lines
same slope
Perpendicular lines
opposite inverse slope
Complete the square steps
1) Start with a quadratic equation
2) Move C to the right side
3) Add (b/2)^2 to both sides
4) Factor the left side (left = right)
hint: It will always be (x+/- (b/2)^2
5) Solve the right side
6) Take the square root of both sides
7) Solve for x
Square root of a negative
Quadratic formula
Solve an inequality with ax+c in the middle
Add/subtract c from the right and left side to leave x in the middle alone
solve
Solve absolute value inequalities
2 equations: one for + and one for -
Test to see which answer is true
Add complex numbers
(a+bi) + (c+di)
Subtract complex numbers
(a+bi) - (c+di)
Multiply complex numbers
Divide complex numbers
Solve system of equations algebraically
1) Elimination method between equations 1 and 2
-- Get new equation 2
-- equation 1 stays the same #2) Elimination method between equations 1 and 3
---Get new equation 3
-- equation 1 stays the same #3) Elimination method between your new equation 2 and new equation 3
When solving inequalities
Write the interval notation
(3, 4)
(3,4) u ( 7, 10)
Sign test for inequality equations
plot the solutions on the x line
If you are looking for a solution <0 , then choose the intervals when the solution is negative
If greater than 0, choose the interval where it’s positive
Sign test for inequality equations
when joined
Plot your solutions in line
- if your answer needs to be less than 0, it is negative, so you need to choose only the intervals where the function is negative
