MATH MID TERM REVIEW
Real Numbers
1. The square root of a number is 9. What is the other square root?
a. -9
c. 3
b. -3
d. 81
2. Which of the following is an integer but not a whole number?
a. -9.6
b. 0
c. -4
d. 3.7
3. Which statement is false?
a. No integers are irrational numbers.
b. All whole numbers are integers.
c. No real numbers are irrational numbers.
d. All integers greater than 0 are whole numbers.
4. Tell whether the statement “All integers are rational numbers” is true or false. Explain your choice.
________________________________________________________________________________________
Order these numbers from least to greatest.
13
5. 3𝜋 , √10 , 3.65, 4
Change each fraction to a decimal or decimal to fraction (in simplest form).
7
6. 0.68
7.
12
Scientific Notation
Write each in scientific notation or standard notation. (2 points each)
1. 3,028,000,000
3. 2.39 𝑥 105
2. 0.0000827
4. 9.201 𝑥 10−3
Exponent Rules
1.
4𝑥𝑦2
12𝑥 3 𝑦 4 𝑧
2. 𝑥 −7
𝑥3
3. (𝑦 )4
4.
380
Pythagorean Theorem
Using the Pythagorean Theorem, solve the word problem. Show your work.
1. A roofer needs to work on the top of a house. The house is 22 ft. tall and his ladder is 25 ft. long. How far
does the ladder need to be away from the base of the house?
2. If a TV is 32 inches long and 28 inches tall, what is the diagonal length of the TV?
Using the distance formula, what is the distance between these two points?
3. (4 , 3) and ( 7 , 5)
4. (-2, 1) and ( 6 , -5)
Using the Pythagorean Theorem, find the length of the missing side. Show your work.
1.
17
21
2.
19
24
Using the Pythagorean Theorem, tell whether each triangle makes a right triangle. Show your work. Your
answers should be yes or no.
1. 16 inches, 30 inches, 34 inches
2. 7 inches, 24 inches, 19 inches
Graphing Transformations
Graph each shape after the given transformation on the coordinate plane.
1. Translate 5 up and 2 left
2. Reflection along the x-axis
3. Rotate 180°
4. Dilate: scale factor 2
Angle Relationships With Parallel Lines
Tell which angles are corresponding, alternate interior, alternate exterior, vertical, and same-side
interior.
Corresponding angles:
Alternate interior angles:
Alternate exterior angles:
Same-side interior angles:
Vertical angles:
If angle 1 is 123°, identify the other 7 angles.
123°
Angle 2: _____
Angle 3: _____
Angle 4: _____
Angle 5: _____
Angle 6: _____
Angle 7: _____
Angle 8: _____