Equations
Is n=4 a solution to the equation 16 = 3n + 4?
yes, 4 is a solution
Name each inequality symbol: >, <, >=, <=
Greater Than, Less Than, Greater Than or Equal to, Less Than or Equal to
How do you calculate slope given two points on a line?
(x1,y1) and (x2, y2)
Slope = (y2 - y1) / (x2 - x1)
What is the minimum number of points needed to graph a line?
2 points
Solve: 8 - 9
-1
What is the formula for area of a square/rectangle and what is the formula for perimeter of a square/rectangle?
Area: L*W
Perimeter: 2L + 2W
What must you do when you multiply or divide both sides of an inequality by a negative number?
you must reverse the direction of the inequality symbol
What is Slope Intercept form?
AND
What is Point Slope form?
Slope Intercept: y = m*x + b
Point Slope: (y-y1) = m(x-x1)
What is the Standard form equation of a line?
Ax + By = C
What is the square root of 4
2
Solve this literal equation for the variable m:
n = (4/5)(m + 7)
m = (5/4)n - 7
Solve for x: -4x + 3 > 11
x < -2
What does it mean when two lines are parallel?
When comparing the equations of two lines, how do you know if they are parallel to each other?
Parallel lines are two lines that never intersect, no matter how far they are extended
Two lines are parallel if their equations have the SAME slope
What does it mean when two lines are perpendicular?
When comparing the equations of two lines, how do you know if they are perpendicular to each other?
two lines are perpendicular if they intersect at a right angle (90 degrees)
When comparing the equations of two lines, they are perpendicular of the product of their slopes is -1. aka m1 * m2 = -1
what is 52?
25
How are literal equations and formulas related?
Formulas are types of literal equations. Literal equations show general relationships between variables. Formulas model/represent a specific relationship that has a practical application or represents a real-world concept.
What are the solutions to the absolute value inequality: |x| < 3?
|x| < 3 is equivalent to the compound inequality |x| < 3 AND x > -3, which can also be written as -3 < x < 3
Do you use the Vertical line test or the Horizontal line test to determine whether a graph is a function or not?
You use the Vertical line test
Calculate Point-Slope form AND Slope-Intercept form given the two points: (2,5) and (4,1)
Point-Slope form: y = -2x + 9
Slope Intercept form: y - 5 = -2(x - 2)
OR y - 1 = -2(x-4)
Factor: 6x4 - 3x2
3x2(2x2 - 1)
Solve for k: g = (x-1)/k
k = (x-1)/g
What is the solution of -12 <= 7x + 9 < 16
-12 <- 7x + 9 ends up solving to -3 <= x
AND
7x + 9 < 16 ends up solving to x < 1
SO the solution is -3 <= x < 1
in other words -3 <= x AND x < 1
In your own words, explain what the Domain of a function represents?
the set of all possible input values that a function can accept
In your own words, explain what the Range of a function represents?
The range is the set of all possible output values that the function can produce
What is the cube root of 64?
4