This 45-minute test covers multiplying and dividing integers and rational numbers: sign rules, division by zero, products of fractions and decimals, and temperature problems (7.NS.A.2). It has nine questions worth 20 points. Show your work.
Test information
- Grade: Grade 7
- Chapter: Multiplying and Dividing Integers and Rational Numbers
- Common Core: 7.NS.A.2a, 7.NS.A.2b, 7.NS.A.2c
- Time: 45 minutes
- Total: 20 points (Question 1: 2 pts; Question 2: 2 pts; Question 3: 2 pts; Question 4: 2 pts; Question 5: 2 pts; Question 6: 3 pts; Question 7: 3 pts; Question 8: 2 pts; Question 9: 2 pts)
Question 1: Products (2 points)
Find each product.
- \((-9)(7)\) (1 point)
- \((-6)(-11)\) (1 point)
Question 2: Product from a Number Line (2 points)
The number line shows jumps that start at \(0\).
Write a multiplication equation for the jumps and state the product.
Question 3: Quotients (2 points)
Find each quotient.
- \(-72 : 8\) (1 point)
- \(-56 : (-7)\) (1 point)
Question 4: Zero in Division (2 points)
- Find \(0 : (-9)\). (1 point)
- Explain why \(6 : 0\) is undefined. (1 point)
Question 5: Decimals and Fractions (2 points)
Find each product.
- \((-0.5)(8.4)\) (1 point)
- \((-\frac{2}{3})(-\frac{9}{10})\) (1 point)
Question 6: A Pattern of Products (3 points)
The table multiplies \(-5\) by several factors.
- Find the two missing products. (1 point)
- Describe how the products change as the factor decreases by \(1\). (1 point)
- What does the pattern suggest about the product of two negative numbers? (1 point)
Question 7: Falling Temperature (3 points)
The temperature is shown on the thermometer. It drops \(4^{\circ}\text{F}\) every hour for \(6\) hours.
- Find the total change in temperature. (1 point)
- Find the final temperature. (1 point)
- The total change of \(-24^{\circ}\text{F}\) happened over \(6\) hours. Find the change per hour using division. (1 point)
Question 8: Equivalent Forms (2 points)
- Evaluate \(-\frac{18}{6}\), \(\frac{-18}{6}\), and \(\frac{18}{-6}\). (1 point)
- Write \(\frac{15}{-3}\) with the negative sign in the numerator and evaluate it. (1 point)
Question 9: Three Factors (2 points)
Evaluate \((-2)(-5)(-3) : 6\).
See every chapter on the Grade 7 math page.



