Math 7
Rational Numbers Take
Home TEST
11/28/13
**Students may use their AVID notes, Textbook or any
other additional resources to assist them with
Completing this assignment on their own**
Student Name ______________________________
I have checked my 7th graders take home test and it is complete with all work
shown.
Parent Signature_____________________________
Grade 7
Name: ___________________________
Rational Numbers TAKE HOME TEST
Date: ____________________________
Directions: Show all work for the following problems. Calculators cannot be used
on this test.
____ 1. Determine whether the decimal form of the rational number
terminates or repeats.
____ 2. If a sheet of 100 stamps is 0.89 millimeters thick and you purchase 100,000,000 stamps, how
many millimeters thick would the stack of sheets be? Write the answer in scientific notation.
Graph each number on a number line.
____ 3. 1.75
1
____ 4. 1 4
Find a fraction equivalent to the given fraction.
____ 5.
a.
c.
b.
d.
a.
c.
b.
d.
____ 6.
Write each number in scientific notation.
____ 7. 1,850
____ 8. 0.00963
____ 9. Determine whether
is rational or irrational and list all other vocabulary words that apply.
____10. A high school basketball team attempted 566 three-point shots last season. They made 141 out of
those shots. Using a decimal rounded to the nearest thousandth, show the team’s success rate for
three-point shots.
Tell whether the two given fractions are equivalent.
____ 11.
____12.
____13. Simplify the fraction
.
____14. What are the two square roots of the number 25?
____15. Order the numbers from least to greatest.
–0.447, –0.53,
1
2
Write each number in standard notation.
____16. 3.44  104
____17. 4.7  108
____18.
Multiply, and simplify the answer.
____19. Add.
–11 + (–40)
____20. Evaluate the following expression.
____21. Multiply. Write the product as one power.
____22. Which decimal is less than 0.69?
____23. Evaluate
–36,
for the given values.
40
____24. Subtract.
46
22
____
25.
Replace each
with <, >, or = to make a true sentence.
Show your work and explain your reasoning.
____
26.
Replace each
with <, >, or = to make a true sentence. 2
Show your work and explain your reasoning.
2
____27. Identify the quadrant that contains the point (1, –6).
y
10
–10
10
x
–10
____28. Write the decimal –10.82 as a mixed number in simplest form.
____
29.
Order the set of numbers from least to greatest.
____ 30.
Order the set of numbers from least to greatest.
0.32,
, 3.40 x 101
0.45, 0.36,
____31. Write each fraction or mixed number as a decimal. Use bar notation if the decimal is a repeating
decimal. 1
____32. Evaluate.
4
____33. Write 5 9 as a decimal.
____34. The highest temperature recorded in the town of Westgate this summer was 99°F. Last winter,
the lowest temperature recorded was –14°F. Find the difference between these extremes.
35. A) What are the key words? B) What is the function? C) What numbers are you using?
D) What is the answer?
Write answer as a fraction in simplest form. Mike stacked 3 books on his
desk. The books were
inch thick,
inch thick and
inch thick. How
tall was the stack that she created?
a
c
b
d
____36. Classify
as rational, irrational, or not a real number. EXPLAIN YOUR REASONING IN
COMPLETE SENTENCES.
a. Not a real number
c. Irrational
b. Rational
37. A) What are the key words? B) What is the function? C) What numbers are you using?
D) What is the answer?
On Tuesday, the temperature at dawn in Newport News is 20
During the day, it warms up 5
1
2
degrees.
degrees. What is the new temperature?
3
4
A) What are the key words? B) What is the function? C) What numbers are you using?
D) What is the answer?
38.
13 Write each ratio as a fraction in simplest form.
Yesterday, Raphael walked 5
cream stand and
2
1
miles from the swimming pool to the ice
4
2
miles from the ice cream stand back home. How far did
3
Raphael walk in all?
1
3
2
4
___39.
Simplify
____ 40.
Simplify –7 (–1 + 3).
____ 41.
____
42.
____
43.
Divide. Write in simplest form.
2
3
÷
6
17
____
44.
Identify the Property: 5(3 + 2) = (5 x 3) + (5 x 2)
____
45.
Multiply.
____ 46. Evaluate the power of 10 by extending the pattern in the table above.
a. 0.000001
b. 0.00001
c. –60
d. 0.0000001
___
47.
Complete a table of solutions for y = –2x – 3 for x = –2, –1, 0, 1, and 2.
Plot the points on a coordinate plane.