Integers, Rational Numbers, and the Coordinate Plane · 9 questions · English only, like the real test · No timer — take the time you need.
How this works: Answer every question, then press Submit & Grade. Selected-response parts grade instantly with an explanation for each; written responses go to your teacher. Your answers save on this device.
On the real MSTAR: math runs as three 40-minute sessions, in English, on a computer. Here there is no clock — practice the thinking first; the pacing comes with rehearsal.
Part A
Badwater Basin sits 86 meters below sea level, where sea level is defined as 0. Which integer represents this elevation?
Part B
What is the opposite of −86, and what does it represent here?
Part A
Between which two consecutive integers does −3.5 fall on a number line?
Part B
A student says −3.5 is greater than −3 because 3.5 is greater than 3. Why is this reasoning wrong?
Explain the error
Owen compared −8 and −3. He wrote: 'Since |−8| = 8 and |−3| = 3, and 8 > 3, then −8 > −3.'
Explain Owen's misconception and state the correct comparison.
✍️ Written response — 2 points.
Select all that apply
Select ALL comparisons that are TRUE:
Part A
Starting at the origin, which point is located by moving 4 units LEFT and 3 units UP?
Part B
Why do (−4, 3) and (3, −4) name different points?
Part A
A chest sits at (−3, 2) and a cave at (4, 2). How far apart are they?
Part B
Why can this distance be found by subtraction alone?
Select all that apply
Select ALL statements that are true about polygons on the coordinate plane:
Part A
In which quadrant does the point (−4, 3) lie?
Part B
What sign pattern identifies Quadrant IV?
Explain the error
Dante reflected (3, 7) across the y-axis. He wrote: 'Change the sign of y, so the image is (3, −7).'
Explain Dante's misconception and give the correct image point.
✍️ Written response — 2 points.