Chapter 3 Practice Test - Rational Numbers PDF

Summary

This document is a practice test on rational numbers for secondary school math. It includes problems on comparing and ordering rational numbers, along with evaluating expressions and solving word problems.

Full Transcript

Math 9 Name: _______________________________________________ Ch. 3 – Rational Numbers Block: _______ Chapter 3 Practice Test: Rational Numbers Student Self...

Math 9 Name: _______________________________________________ Ch. 3 – Rational Numbers Block: _______ Chapter 3 Practice Test: Rational Numbers Student Self‐Assessment Please fill in the following after completing the practice test and looking at the correct solutions. I get it, I get but I don’t Practice I get all only Learning Outcomes of it made some get it at Questions some all of it errors Demonstrate an understanding of rational numbers by: comparing and A3 ordering rational numbers and solving #1–6 problems that involve arithmetic operations on rational numbers. Explain and apply the order of A4 operations with and without #7–9 technology. What do you need to work on? What is your plan to ensure you will be successful come test day? ____________________________________________________________________________________________________________ ____________________________________________________________________________________________________________ ____________________________________________________________________________________________________________ ____________________________________________________________________________________________________________ ____________________________________________________________________________________________________________ ____________________________________________________________________________________________________________ ____________________________________________________________________________________________________________ ____________________________________________________________________________________________________________ ____________________________________________________________________________________________________________ 1. Order these rational numbers from least to greatest, and place them on a number line. 1.7 –0.45 –2.1 2. a) Identify two rational numbers that are between –1.2 and 1 , and place them on a number line. b) Why are –1.2 and 1 rational numbers? 3. Find the sum or difference. Please show all work. a) b) –7.8 + 0.4 c) –7.4 – (–6.1) d) 4 1 4. Find the product or quotient. Please show all work. a) 4 1 b) 8.7 (–2.1) c) (–3.2) ÷ (–0.5) d) 2 5. A baker has a cupcake recipe that calls for 2 cups of flour. He needs to triple the recipe. How many cups of flour will he need? Show your work clearly. 6. A carpenter has 16 feet of baseboard material. If he cuts off 5 pieces, each with length 3 feet, how much material is left? Show your work clearly. 7. Evaluate each expression. Please show all work. a) –3.1 + 4.5 (–2.9) – 7.2 ÷ (–3) b) 8. Both Amanda and Emilee evaluated the expression below. Amanda’s answer was 40.8 and Emilee’s answer was 54.6. Who is correct? Please show your work. 2.3 + (–11.2) ÷ (–0.2) – 3.7 9. Indicate where the student first went wrong for each question below. Show the correct solution that leads to a correct answer. Please show all of your work clearly. Answers to Chapter 3 Practice Test 1. , 2.1, 0.45, , 1.7, 2. a) Since 1 1 1.6, any two rational numbers between 1.6 and 1.2 would be correct. For example, 1.5 and 1.4. b) They can both be written as the ratio of two numbers (i.e. as fractions): 1.2 and 1 3. a) b) 7.4 c) 1.3 d) 6 4. a) 8 b) 18.27 c) 6.4 d) 8 5. 6 cups of flour 6. ft 7. a) 13.75 b) 3 8. Emilee is correct. 9. a) The sign of the answer to the first step, 2.8 1.5 , is incorrect. Later on, the student subtracts before doing the division first. Correct answer: 8.81. b) The student subtracts before doing the multiplication first. Correct answer:

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