ACCUPLACER Math Practice Test – Comprehensive Questions & Detailed Solutions | Latest Edition

Accuplacer: Math
Define - "ordered pairs"
Correct Answer
= (x, y)
= a single point on a coordinate plane


Define - "origin"
Correct Answer
= (0,0)
= the point where two axes meet


Explain - "quadrants"
Correct 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)
Correct 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)
Correct 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.
Correct Answer
= 2D


Describe/Define rwhat ra r"one rdemential r(1D) rline" ris
In ra r1D rline, rwhat rtwo rthings rneed rto rbe raccounted rfor rand rexplain rhow rwe rcan
rdo rthis

Correct rAnswer
= ra rhorizontal ror rvertical rline


= r(x=0) r- rhorizontal r- r(look rat rthe rlocation rof r(x) ron rthe rcoordinate rplane)
= r(y=0) r- rvertical r- r(look rat rthe rlocation rof r(y) ron rthe rcoordinate rplane)


= rDistance rand rMidpoint:
= rhorizontal r= r(D r= r("absolute rvalue" rX2-x1))
= r(M r= r(x1+x2)/2)
= rvertical r= r(D r= r("absolute rvalue" ry2-y1))
= r(M r= r(y1+y2)/2)


Define/Explain r- r"slope" rof ra rline
Correct rAnswer
= r(m)=(rise/run)=(change rin ry/change rin rx)
= r(y2-y1/x2-1)


When rlooking rat ra rgraphed rline r- rhow rcan rwe rimmediately rknow rif rthe
rslope ris rnegative ror rpositive rCorrect rAnswer

= r(-) r"negative rslope" r= r(line rstarts rin rQ3 r- rthe rline rends rin rQ1)

,=


(+) r"positive rslope" r= r(lines rstarts rin rQ1 r- rthe rline rends rin rQ4)


Horizontal rLines rhave r____________ rslope.
Correct rAnswer
= r(0)


Vertical rLines rhave r____________ rslope.
Correct rAnswer
= r"undefined", r"no rslope", r"infinite"


Give rthe r- rStandard rForm rof ra rLinear rEquation


Describe rhow rto rquickly rfind rthe r- r"slope" rand r"y r- rintercept" rof rthis rspecific
requation rCorrect rAnswer

= r(Ax r+ rBy r= rC)
*rule: rA ror rB rcan rNOT r= r(0)
*rule: rA rcan rNOT rbe r"negative" r(-)


= r"slope" r= r(-A/B)
= r"y-intercept" r= r(C/B)


Give rthe r- rStandard rForm rof ra rQuadratic rEquation
Correct rAnswer
= r(ax^2 r+ rbx r+ rc r= r0)


Give rthe r- rGeneral rForm rof ra rline r- rand rdescribe rwhat rit ressential rmeans
rCorrect rAnswer

= r(Ax r+ rBy r+C r= r0)
*rule: rA rcan rNOT r= r(0)


= r"some rexpression" r[= r(0)] r- rexpression rALWAYS requals r0

, Describe rwhat rthe r"Standard rForm rof ra rPolynomial rmeans"
Correct rAnswer
= requation ris rordered rfrom r(largest r- rsmallest) raccording rto rthe rcoefficients
rdegrees




Define rwhat rthe r"x-intercept" ris
Correct rAnswer
= rpoint rof rthe r(x) raxis
= r(y=0)


Define rwhat rthe r"y-intercept" ris
Correct rAnswer
= rpoint rof rthe r(y) raxis
= r(x=0)


Define rthe r- rPoint-Slope rForm rof ra rline
What ris rusually rgiven rin rthe rproblem rthat rtriggers rto ruse rthis rspecific rform
rCorrect rAnswer

= rgiven r= rslope r(m) rand ra rpoint r(x1, ry1)
*remember: rthe rform rof rthe rline ris rbased roff rwhat ris rgiven r- r"point-slope"


= r[m r= r(y r- ry1) r/ r(x r- rx1)]


Define rthe r- rSlope-Intercept rForm rof ra rline
What ris rusually rgiven rin rthe rproblem rthat rtriggers rto ruse rthis rspecific rform
rCorrect rAnswer

= rgiven r= rslope r(m) rand rthe ry-intercept r(b)
*remember: rthe rform rof rthe rline ris rbased roff rwhat ris rgiven r- r"slope-intercept"


= r(y=mx+b)