Linear Equations
Write the equation of the line in slope intercept form with the given slope and y-intercept.
SLOPE: -3
Y-INTERCEPT: (0, 17)
What is y = -3x + 17?
What is the definition of absolute value?
What is a number's distance from 0?
What property is demonstrated below?
2(3 + 6) = 6 + 12
What is the distributive property?
Determine the range and domain. Then determine if the relation is a function.
{(0,-2) (-3,1) (-4,3) (1,-4) (5,-2)}
What is function?
Domain: {-3, -4, 0, 1, 5}
Range: {-4, -2, 1, 3}
3RD GRADE MATH
Fill in the Blank: 12 x ___ = 84
What is 7?
What is the formula to find slope?
What is Y2 - Y1/X2 - X1?
Evaluate the following expression if a = 7, b = -2, c = 3, and d = -5.
|d + 2a + bc| = ?
What is 3?
If I use the associative property what should this equation be equal to?
(3 + 8) + 10 = ?
What is 3 + (8 + 10)?
What is the definition of a discrete function?
5TH GRADE MATH:
What is the name(s) of the step-by-step method to solve an order of operations problem?
What is (any will work) PEMDAS, GEMA, GEMDAS?
Convert the following equation into slope-intercept form.
y + 6 = -1(x - 5)
What is y = -x - 1?
A certain company designs and ships boxes of golf balls. Each box must weigh 540 grams. Write two absolute value expressions that represent the number of grams a box weighing g grams is away from the desired weight.
What is |540 - g| and |g - 540|?
Name the property demonstrated below
a = b
b = c
a = c
What is transitive property?
Determine if the following equation is linear or nonlinear.
9y = 2 - 13/x
What is nonlinear?
7TH GRADE MATH:
What is the other side length of a right triangle with a hypotenuse of 20 and a side length of 10?
What is √300? (approx. 17.3)
In a standard form equation, which number(s) cannot equal 0?
What is A and B?
Solve the equation for BOTH solution sets.
4 - 3|q| = 10
What is ∅ (no solution)?
Name the property missing from the solving of the equation below.
8z + 2(4 + z) = 8z + 2(4) + 2(z) ---> Distributive
= 8z + 8 + 2z ---> Substitution
= 8z + 2z + 8 ---> ???
= (8z + 2z) + 8 ---> Associative
= 10z + 8 ---> Substitution
What is the commutative property?
Find -2[f(-7)] for the equation:
f(x) = |6x + 4|
What is f(x) = -76?
HIGH SCHOOL CALCULUS:
What does it mean for a function to be differentiable?
What is the derivative exists at every point in its domain?
Derivative: the rate at which a function is changing at a specific point.
Write an equation of the line that passes through the given point and is perpendicular to the given line.
(-4,-1) ; y = 4/3x + 6
What is y = -3/4x - 4?
You have money in your wallet, but you don't know the exact amount. When a friend asks you, you say that you have $50, give or take 15. Write AND solve the absolute value equation to find the LEAST and GREATEST amount of money that could be in your wallet.
What is |x - 50| = 15 and $35 or $65?
Solve the following equation AND name the properties involved to solve. (Name any THREE)
4(y2 – 5) – 6y2
What is –2y2 – 20?
PROPERTIES INCLUDE (in order): Distributive, Substitution, Commutative, Associative, Substitution (again)
Find the inverse function of f(x) = √(2y + 1)
What is f-1(x) = x2 -1 / 2?
COLLEGE LEVEL MATH:
Simplify the following.
(x2 - 25) / (x2 + 5x) divided by (xy + 6x - 5y - 30) / (5x - 15)
What is (5x -15) / (xy + 6x)?