Problem Solving with Four Operations and Rational Numbers

Unit 1 Operations with Rational Numbers

Study Guide

Math 7

Open Ended

7NS1a

1.  A refrigerator had a temperature of 14°C. Do the following situations bring the temperature back down to 0°C?

Select Yes or No for each situation.

​ 7NS1a 1. Marcus hiked 100 feet above sea level to see the view from the top of a cliff.

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Open Ended

7NS1c

1. The expression below represents the distance between two points on a number line. Which number line shows the two points?

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7NS1c     

3. Rewrite the expression as an equivalent addition or subtraction expressions.

Multiple Choice

7NS1d

1. Rational numbers m and n are plotted on the number line.

Based on the number line, which statement is true?

• The value of n−m is positive.

• The value of m−n is positive.

• The value of −(m+n) is positive.

• The value of −m−n is positive.

​7NS2a

1. Does the given expression result in an answer of −16? Select Yes or No for each expression.

Multiple Choice

7NS2a

2. A number line is shown indicating the location of the number n.

What is the value for 19.75n?

• The value is positive because two positive numbers multiplied together equal a positive number.

• The value is negative because two negative numbers multiplied together equal a negative number.

• The value is positive because one negative number and one positive number multiplied together equal a positive number.

• The value is negative because one negative number and one positive number multiplied together equal a negative number.

Multiple Select

7NS2b

1. Select all values that are equal to  $$\frac{5}{6}$$  

• $$\frac{-5}{-6}$$  

• $$\frac{-5}{6}$$  

• $$-\left(\frac{5}{-6}\right)$$  

• $$-\left(\frac{-5}{-6}\right)$$  

Multiple Choice

7NS2b

2. The solution to a math problem is $$\frac{-p}{q}$$  , where p and q are non-zero integers. Which statement is true?

• The solution to the math problem is an integer equal to  $$\frac{p}{-q}$$  

• The solution to the math problem is an integer equal to  $$\frac{-p}{-q}$$  

• The solution to the math problem is a rational number equal to  $$\frac{p}{-q}$$  

• The solution to the math problem is a rational number equal to  $$\frac{-p}{-q}$$  

Open Ended

7NS2d

1. How do you write the fraction 5/11 as a decimal?

Open Ended

7NS2d

2. Which letter represents the fraction $$\frac{2}{5}$$   in decimal form?

Multiple Select

7NS3

1. A plane is flying at 32,460 feet. To avoid some turbulence, the plane ascends 1,645 feet. It then descends 35 of its new height to prepare for landing. What are the heights that the plane will be at after it ascends to avoid turbulence and after it descends to prepare for landing? Select ALL that apply.

• 12,326

• 13,642

• 18,849

• 20,463

• 34,105

Open Ended

7NS3

2. Arun needs to buy 834 pounds of potting soil to fill a large flowerpot. Potting soil costs $0.60 per pound, including tax. What is the total cost, in dollars, of potting soil that Arun should buy to fill the flowerpot?

Multiple Choice

7NS3 

3. Yesterday, Lou earned $12.76 selling lemonade and $4.87 selling ice pops at his stand. Today, he bought 2 pizzas for $5.00 each. How much money does he have left?

• $7.63

• $27.63

• $12.63

• $22.63