Integers, Rational Numbers, and the Coordinate Plane · 9 questions · English only, like the real test · No timer — take the time you need.
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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.
Select all that apply
Select ALL statements that are true about integers and opposites:
Explain the error
Ines plotted −2¼ on a number line. She found −2, then counted one quarter to the RIGHT, landing between −2 and −1.
Explain Ines's misconception and describe where −2¼ actually belongs.
✍️ Written response — 2 points.
Part A
What is the value of |−12|?
Part B
Why can an absolute value never be negative?
Part A
Order these numbers from LEAST to GREATEST: −2, 1.5, −4.5, 0, 3.
Part B
Which statement correctly compares −4.5 and −2?
Select all that apply
Select ALL statements that are true about plotting points:
Explain the error
Priya found the distance between (−3, 2) and (4, 2). She wrote: 'Just subtract: 4 − 3 = 1, so they are 1 unit apart.'
Explain Priya's misconception and give the correct distance.
✍️ Written response — 2 points.
Part A
A rectangle has vertices at (1, 1), (7, 1), (7, 5), and (1, 5). What is its perimeter?
Part B
How can the side lengths be found from the coordinates alone?
Select all that apply
Select ALL statements that are true about the four quadrants:
Part A
Reflect the point (5, −2) across the x-axis. What are the coordinates of the image?
Part B
Why does reflecting across the x-axis change only the y-coordinate?