Ch. 1-2
When solving an equation, if the variables do not cancel out, the answer is ____________. If the variables cancel out, and the numbers left are the same, the answer is ______________. If the variables cancel out, and the numbers left are different, the answer is ______________.
one solution, infinite solutions, no solution
What is the slope formula?
y2 - y1 / x2 - x1
Where is the solution to a system of equations on a graph?
Where the two lines intersect
What is the Pythagorean Theorem?
a2 + b2 = c2
When solving the volume of a figure, if they give you the diameter, how do you get the radius?
Divide the diameter by 2.
Name the four types of transformations.
Translation, Reflection, Rotation, Dilation
What does an acute and obtuse angle of parallel lines with a transversal always add up to?
180 degrees
What is the definition of a function?
For every input, there is only one output.
What is the distance formula?
Square root of (x2 - x1)2 + (y2 - y1)2
If they give you a two-way table with decimals in the boxes and ask you “how many?” you must ________ the decimal they are talking about by the TOTAL number of people surveyed.
Multiply
What is the only type of transformation that does not result in a congruent figure?
Dilation
Solve for x
135 degrees
What test do you use to tell if a graph is a function?
Vertical Line Test
The opposite of x2 is __________. The opposite of x3 is ____________.
square root, cube root
With exponents, if you have two bases that are they same and being multiplied, you _____ the exponents. If you have only ONE base, with two exponents on it, you _________ the exponents. If you divide bases that are the same, you ________ the exponents.
Add, Multiply, Subtract
Solve for x: 3x + 7 = 5x - 11
x = 9
If they tell you to "create an equation" on the state test, what form should it be in?
y = mx + b
A ____________ function and CONSTANT RATE is a straight line (not vertical). A ___________ function and a NONCONSTANT RATE is a curved or not straight line.
Linear, Nonlinear
A right triangle has a leg length of 15 feet and a hypotenuse of 39 feet. What is the other leg length?
36 feet
When you’re given a scientific notation problem and they ask, HOW MANY TIMES GREATER, you have to _________ the two things they are asking you about.
Divide
Solve for x: 3(-3x + 9) = -9x + 27
Infinite Solutions
What is the rate of change of a line containing the points (-4, 3) and (0, 6)
3/4
What three things make an equation nonlinear?
1. If the "x" is on the bottom of a fraction
2. If the "x" has an exponent
3. If the "x" is under a square root
What is the distance between the two points (-10, 6) and (8, -1)? Round to the nearest tenth.
19.3
Simplify: (x3)4 / x5
x7