This document contains a review for a math midterm exam. It includes 14 sample questions covering topics like: irrational numbers, rational numbers, integers, decimals as fractions, ordered pairs, transformations including translations and reflections, and effects on x- and y-coordinates. The questions range from defining terms to performing transformations step-by-step and finding the resulting coordinates.

1. +
White Board
Midterm Review!
Play by the rules and follow the directions!

2. +
Sample Question:
Write down an
example of an
irrational number.

3. + Sample Question #2
Write down all of the answer choices that
apply to the following statement:
The square root of 81 is a(n):
A) Irrational Number
B) Rational Number
C) Whole Number
D) Integer
E) Natural Number

4. +
Sample Question #3
Provide an example of one number
that satisfies all of the following
requirements:
Real Number
Rational Number
Integer

5. +
Sample Question #4
Convert the following
decimal to a fraction:
.24

6. +
Write the ordered pair that would
result from the following directions:
Start at the origin and
move 5 units left and
3 units up.

7. +
In what quadrant does (8, -3) lie?

8. +
In what
quadrant does
(-12, 43) lie?

9. +
What type of
transformation
slides a preimage
onto an image?

10. +
List at least one
thing that stays
the same after a
translation.

11. +
Which coordinate
is affected if a
point is translated
to the right?

12. +
Which
coordinate is
affected if a
point is
translated left?

13. +
If the ordered pair (-
7, 18) is translated 5
places to the right,
what is the new
ordered pair?

14. +
Which coordinate
is affected if a
point is translated
up?

15. +
If the ordered pair
(-7, 18) is
translated 3 units
up,
what is the new
ordered pair?

16. +
Which coordinate
is affected if a
point is translated
down?

17. +
If the ordered pair
(-7, 18) is
translated 17 units
down,
what is the new
ordered pair?

18. +
What are the new
coordinates if
(4, 3) is translated
8 units left and 4
units up?

19. +
What are the new
coordinates of (9, -2) if
translated 2 units left
and 4 units up then
translated 6 units right
and 7 units down?

20. +
What type of
transformation
flips a
preimage onto
an image?

21. +
List at least one
thing that stays
the same after a
reflection.

22. +
List one thing
that is different
after a
reflection.

23. +
Which coordinate
changes after a
reflection over the
x-axis?

24. +
If the point (-3, 5)
is reflected over
the x-axis, what
are the new
coordinates?

25. +
Which coordinate
changes after a
reflection over the
y-axis?

26. +
If the point (-3, 5)
is reflected over
the y-axis, what
are the new
coordinates?

27. + If the ordered pair (-
12, 28) is first
reflected over the x-
axis and then
reflected over the y-
axis, what is the
resulting point?

28. + If the ordered pair (6,
-8) is translated 3 units
right and 4 units up,
then reflected over the
x-axis,
what are the resulting
coordinates?

29. +
If (-13, 4) is reflected
over the y-axis, then
translated 7 units left
and 1 unit up,
at what point is the
resulting image?