NEXT GENERATION ACCUPLACER: MATH QUESTIONS
AND ANSWERS QUESTIONS AND CORRECT ANSWERS|
AGRADE
Define - "ordered pairs" - ANSWER: = (x, y)
= a single point on a coordinate plane
Define - "origin" - ANSWER: = (0,0)
= the point where two axes meet
Explain - "quadrants" - ANSWER: = when the two axes (x and y) cross they form 4
quadrants
Explain what - "the distance" means
Define - "distance formula" for a line(s) - ANSWER: = "distance" - the length between
two points on a plane - (x1, y1), (x2, y2)
* does not have to be forming a line
*distance is ALWAYS positive
= (Distance (d) = "square root" all over -
[( x2-x1)^2 + (y2-y1)^2]
Explain what - "the midpoint" means
Define - "midpoint formula" for a line(s) - ANSWER: = "midpoint" - the middle point
between two points on a plane - (x1, y1), (x2, y2) -that are forming one line
*remember - "MidPOINT"
= Midpoint (M) = [(x1+x2)/2] , [(y1+y2)/2]
Coordinate Plane = ______________ demential. - ANSWER: = 2D
Describe/Define what a "one demential (1D) line" is
In a 1D line, what two things need to be accounted for and explain how we can do
this - ANSWER: = a horizontal or vertical line
= (x=0) - horizontal - (look at the location of (x) on the coordinate plane)
= (y=0) - vertical - (look at the location of (y) on the coordinate plane)
= Distance and Midpoint:
= horizontal = (D = ("absolute value" X2-x1))
= (M = (x1+x2)/2)
= vertical = (D = ("absolute value" y2-y1))
= (M = (y1+y2)/2)
, Define/Explain - "slope" of a line - ANSWER: = (m)=(rise/run)=(change in y/change in
x)
= (y2-y1/x2-1)
When looking at a graphed line - how can we immediately know if the slope is
negative or positive - ANSWER: = (-) "negative slope" = (line starts in Q3 - the line
ends in Q1)
= (+) "positive slope" = (lines starts in Q1 - the line ends in Q4)
Horizontal Lines have ____________ slope. - ANSWER: = (0)
Vertical Lines have ____________ slope. - ANSWER: = "undefined", "no slope",
"infinite"
Give the - Standard Form of a Linear Equation
Describe how to quickly find the - "slope" and "y - intercept" of this specific equation
- ANSWER: = (Ax + By = C)
*rule: A or B can NOT = (0)
*rule: A can NOT be "negative" (-)
= "slope" = (-A/B)
= "y-intercept" = (C/B)
Give the - Standard Form of a Quadratic Equation - ANSWER: = (ax^2 + bx + c = 0)
Give the - General Form of a line - and describe what it essential means - ANSWER: =
(Ax + By +C = 0)
*rule: A can NOT = (0)
= "some expression" [= (0)] - expression ALWAYS equals 0
Describe what the "Standard Form of a Polynomial means" - ANSWER: = equation is
ordered from (largest - smallest) according to the coefficients degrees
Define what the "x-intercept" is - ANSWER: = point of the (x) axis
= (y=0)
Define what the "y-intercept" is - ANSWER: = point of the (y) axis
= (x=0)
Define the - Point-Slope Form of a line
What is usually given in the problem that triggers to use this specific form - ANSWER:
= given = slope (m) and a point (x1, y1)
*remember: the form of the line is based off what is given - "point-slope"
= [m = (y - y1) / (x - x1)]
AND ANSWERS QUESTIONS AND CORRECT ANSWERS|
AGRADE
Define - "ordered pairs" - ANSWER: = (x, y)
= a single point on a coordinate plane
Define - "origin" - ANSWER: = (0,0)
= the point where two axes meet
Explain - "quadrants" - ANSWER: = when the two axes (x and y) cross they form 4
quadrants
Explain what - "the distance" means
Define - "distance formula" for a line(s) - ANSWER: = "distance" - the length between
two points on a plane - (x1, y1), (x2, y2)
* does not have to be forming a line
*distance is ALWAYS positive
= (Distance (d) = "square root" all over -
[( x2-x1)^2 + (y2-y1)^2]
Explain what - "the midpoint" means
Define - "midpoint formula" for a line(s) - ANSWER: = "midpoint" - the middle point
between two points on a plane - (x1, y1), (x2, y2) -that are forming one line
*remember - "MidPOINT"
= Midpoint (M) = [(x1+x2)/2] , [(y1+y2)/2]
Coordinate Plane = ______________ demential. - ANSWER: = 2D
Describe/Define what a "one demential (1D) line" is
In a 1D line, what two things need to be accounted for and explain how we can do
this - ANSWER: = a horizontal or vertical line
= (x=0) - horizontal - (look at the location of (x) on the coordinate plane)
= (y=0) - vertical - (look at the location of (y) on the coordinate plane)
= Distance and Midpoint:
= horizontal = (D = ("absolute value" X2-x1))
= (M = (x1+x2)/2)
= vertical = (D = ("absolute value" y2-y1))
= (M = (y1+y2)/2)
, Define/Explain - "slope" of a line - ANSWER: = (m)=(rise/run)=(change in y/change in
x)
= (y2-y1/x2-1)
When looking at a graphed line - how can we immediately know if the slope is
negative or positive - ANSWER: = (-) "negative slope" = (line starts in Q3 - the line
ends in Q1)
= (+) "positive slope" = (lines starts in Q1 - the line ends in Q4)
Horizontal Lines have ____________ slope. - ANSWER: = (0)
Vertical Lines have ____________ slope. - ANSWER: = "undefined", "no slope",
"infinite"
Give the - Standard Form of a Linear Equation
Describe how to quickly find the - "slope" and "y - intercept" of this specific equation
- ANSWER: = (Ax + By = C)
*rule: A or B can NOT = (0)
*rule: A can NOT be "negative" (-)
= "slope" = (-A/B)
= "y-intercept" = (C/B)
Give the - Standard Form of a Quadratic Equation - ANSWER: = (ax^2 + bx + c = 0)
Give the - General Form of a line - and describe what it essential means - ANSWER: =
(Ax + By +C = 0)
*rule: A can NOT = (0)
= "some expression" [= (0)] - expression ALWAYS equals 0
Describe what the "Standard Form of a Polynomial means" - ANSWER: = equation is
ordered from (largest - smallest) according to the coefficients degrees
Define what the "x-intercept" is - ANSWER: = point of the (x) axis
= (y=0)
Define what the "y-intercept" is - ANSWER: = point of the (y) axis
= (x=0)
Define the - Point-Slope Form of a line
What is usually given in the problem that triggers to use this specific form - ANSWER:
= given = slope (m) and a point (x1, y1)
*remember: the form of the line is based off what is given - "point-slope"
= [m = (y - y1) / (x - x1)]
