Roots and Operations
A number that, when multiplied by itself, gives the original number
square root
Before solving for an unknown, first combine _____ terms in an equation.
like
What kind of triangle does the Pythagorean Theorem work for?
a right triangle
What is the number on top of a fraction called?
What is the number on the bottom of a fraction called?
the numerator/the denominator
When adding mixed numbers, you need to make sure the ___________ in the fractions are the same.
denominators
√25
5
When solving for an unknown, if you add 3 to one side, you also have to...
add 3 to the other side.
What is the formula for the Pythagorean Theorem?
a2 + b2 = c2 OR L2 + L2 = H2
A standard US ruler divides each inch into how many sections?
16
True of false - When subtracting mixed numbers, the fractions need to have the same denominator, and the numerator of the top fraction needs to be _________ than or equal to the numerator of the bottom fraction.
greater
√A2
A
True or false - When checking your work for solving an unknown you need to plug your answer into the original equation in place of the unknown.
true
What is the name of the longest side of a right triangle (the diagonal)?
the hypotenuse
To add or subtract fractions, the ____________ needs to be the _______.
denominator, same
Solve 7
- 1 2/3
-------------
5 1/3
In PEMDAS, what does the E stand for?
exponents
Solve (-2)2 + (B + 42) = 3 x 4 + 6
-2
If a triangle has sides with lengths of 3, 4, and 5, is it a right triangle?
Yes
True or false - When multiplying fractions, you multiply the numerators together and keep the denominator the same.
false - you also multiply the denominators together
Solve 5 2/7
+ 2 3/7
_____________
7 5/7
What is the first operation you should use when simplifying an expression?
parentheses
Solve -3X + 4X = 2 x 4 - X
4
A triangle has a 9 ft side and a hypotenuse of 15 ft. What is the length of the other side?
12 feet
Explain how to divide fractions.
Multiply by the reciprocal or keep, change, flip
Simplify 8 20/12 (as a mixed number)
8 20/12 = 8 + 1 8/12 = 9 8/12 = 9 2/3