Vocabulary
Define equivalent
Equal to something
How to determine slope
distance in y divided by distance in x
Every function is linear
false, because not every function has a constant rate of change
Expression vs Equation
equations have equal signs in them
This is true about the angles of a triangle
all 3 angles add to equal 180 degrees
Define function
each input has exactly one output
how to solve for a variable
PEMDAS/GEMDAS
Given the equation 4(x+3)=12
I can subtract 3 from both sides first
False because you need to distribute first
similar and congruent
similar has same angles and shape but not same size, congruent has all three
What is the relationship between the volume of a cylinder and a cone
A cone is 1/3 the volume of a cylinder
Define evaluate
to solve for
how to determine y-int given slope and a coordinate point
substitute into linear equation, solve for b
y= 42+5x is a linear equation
True because when simplified y=5x+16 (CROC)
Segmented bar graph and bar graph
segmented bar graphs are on top of eachother and are represented by percentages
when parallel lines are cut by a transversal they create acute and obtuse angles. What are the two types of equations that can be written to solve for a variable
congruent (set them equal)
supplementary (add them and set it equal to 180)
Write an example of infinite solutions
3x+7 = 3x+7
Inverse of a square/cubed
How do you determine the value on a calculator
square root/cubic root
2nd, x2,number; 3,2nd, ^, number
y=3x2+7 is a linear equation
False. The exponent of the of the x and y must be equal to 1
rational vs. irrational
rational numbers can be written as a fraction
irrational numbers cannot be written as a fraction
What is the formula for volume of a sphere
v=4/3 pi x r3
Define parallel lines
two lines that are the same distance from each other and never intersect
Rotating 90 degrees about the origin does what to (x,y)
switch x&y and take the sign of the new quadrant
In triangle ABC, a+b>c
True because the sum of two sides will always be longer than the third side
scatter plot vs. two way table
two way tables compare two categorical pieces of data
scatter plots compare two quantities
Name the 2 of the 4 types of transformations and their characteristics
Translation - slide, all points move the same distance and direction, orientation stays the same
Reflection - flip, all points are the same distance from the line of reflection, orientation changes
Rotation - turn, movement around a point called the center of rotation, orientation changes
Dilation - creates a similar figure, size changes, side lengths are proportional, angles stay the same, shapes stay the same