ACCUPLACER ARITHMETIC FINAL PAPER 2026
EXAM QUESTIONS AND SOLUTIONS 100
PERCENT CORRECT
◉ 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
EXAM QUESTIONS AND SOLUTIONS 100
PERCENT CORRECT
◉ 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
