Let’s Be Rational: Short Answer Test
Name:______________________
Directions: Complete all problems. For full credit, you must show all work.
I can determine where given rational numbers are located on the number line. (5 points)
1. Use a number line to show 0.46 and 0.47. Label a number in between those two numbers.
I can solve real-world and math problems involving the four operations (add, subtract, multiply, and
divide) with rational numbers. (10 points - 5 points each)
2. Naya bought a total of 3 ¾ yard of fabric to make three curtains each the same size. How many
yards of fabric will Naya use for each curtain? Show all work.
3. Mark ran 3 ¾ miles yesterday during track and field practice. Mark’s distance was half of Joan’s
distance. How far did Joan run? Show all work.
I can use mental computation and estimation strategies to assess reasonableness of answers. (5 points)
4. Is dividing by 2 the same as dividing by ½? Why or why not? Prove your position with a picture /
diagram.
I can demonstrate absolute value using a number line (both vertical and horizontal). (5 points)
5. Solve the problem. Prove your result by showing your answer on a number line.
-5
+
4
I can represent addition and subtraction of rational numbers on a vertical or horizontal number line.
(5 points)
6. The Patriots were down five yards and then made a 12 yard gain. How many yards do the Patriots
have now? Prove your answer by using a number line.
I can apply and extend old knowledge of addition and subtraction to add and subtract rational
numbers (fractions, decimals, and integers). (8 points - 2 points each)
Solve. Show ALL work.
7.
-7/4 + 0.25
8.
210 – (-443)
9.
12 + -144
12
10.
¾ + 2½
I can provide examples of adding, subtracting, multiplying and dividing rational numbers by
describing the answers using real world situations. 12 points - 6 points each
11. Choose two operations (addition, subtraction, multiplication, or division). Write a word problem
involving rational numbers that would require the solver to use your operation. Be thoughtful in your
writing. Pretend like you are writing a question for our test! You do NOT have to solve.
# 1. Operation of choice:___________________ Write your problem below.
#2. Operation of choice: ___________________ Write your problem below.