Exponents & Real Numbers
When you multiply two numbers with the same base, you ___ the exponents. EX: 52 x 53
add
How do you solve equations?
Inverse operations - opposite operation (add/subtract/multiply/divide)
What is the first step when graphing in slope-intercept form? y=mx+b
Graph the y intercept (b). Then you can use slope to find the other points.
VOCAB: What is domain and range?
Domain is all the x values. Range is all the y values
What is the Pythagorean Theorem?
a2+b2=c2
VOCAB: What are numbers that are non-terminating and non-repeating?
Irrational Numbers
VOCAB: A number that is attached and multiplied by the variable
coefficient
What makes a relationship a function?
x does not repeat. y is allowed to repeat
VOCAB: A transformation that moves a point or shape up, down, left, or right.
Translation
VOCAB: Angles that add together to equal 90 degrees
Complimentary angles
Any number to the power of 0 is ___
1
EX: 80 = 1
When solving Inequalities, what do you do when you multiply or divide by a negative number?
Flip the inequality sign
How can you tell is a relationship is proportional on a table?
Cross multiply
VOCAB: In systems of equations, when reading a graph, this is the point where two lines meet/cross. Representing when these two linear relationships are equal to each other
Solution
VOCAB: Angles that are across from each other. They share the same vertex and are always congruent.
Vertical angles
When writing in scientific notation, numbers written as long decimals in standard form will have a _______ exponent. EX: 0.0000045
negative
EX: 0.0000045 becomes 4.5 x 10-6
VOCAB: The action of multiplying a number and an expression. In other words, multiplying the number to everything inside of parenthesis. EX: 4(x+5)
Distributive Property
What is the difference between writing a proportional and non-proportional equation?
proportional is y = mx
non-proportional is y = mx + b
proportional relationships go through (0,0), therefore, do not have a y-intercept.
What happens to the point (3,6) when reflected over the x -axis?
(3,6) will end up at (3,-6)
Reflecting over the x-axis will cause the y variable to flip signs.
Reflecting over the y-axis will cause the x variable to flip signs.
What is the Triangle Inequality Theorem?
A way to prove three lengths can form a triangle. Add the two smaller sides to see if it is greater than the third. a + b > c
What is the negative exponent rule? Or how do we get rid of a negative exponent?
Flip it to the other side of the fraction
2x + 5 = -6x - 7
Move the variable to one side
In word problems, the coefficient is the same thing as ______. The constant is the same thing as ________.
HINT: y=mx+b
Coefficient is the same as slope.
Constant is the same as y-intercept
How do you find a dilation?
Scale factor - after/before
What are the two reasons you would use the Pythagorean Theorem?
2) Find a missing side length of a right triangle