Math 8

Integer Unit Review

Name: ______

Date: ______

Learning Goals

  • You will be able to use a number line to add and subtract positive and negative integers
  • You will be able to use and draw integer tiles that represent the adding and subtracting of positive and negative integers
  • You will learn the four rules for multiplying and dividing integers (and simplify to two rules)
  • You will learn the rules of order of operations and be able to do multi-operations expressions
  • Learn to apply your understanding of integers into word problems

Adding and Subtracting Integers with number line use:

Use the number line to help you answer the below questions.

  1. 5 + (-12) = ______
  1. (-12) + 5 = ______
  1. (-4) + 3 – 10 = ______
  1. 9-18 + 3 = ______
  1. (-13) + 3 = ______
  1. 10 – (-3) = ______
  1. (-4) – (-10) = ______
  1. 5 – (-10) = ______
  1. 9 – 12 = ______
  1. 9 – 10 + 33 = ______
  1. (-2) – (-4) + 5 = ______
  1. (-4) + (-4) – 4 = ______
  1. 12 + (-8) – 1 = ______
  1. 8 + 42 – 17 = ______
  1. (-5) – (-3) + 5 = ______
  1. 9 – 12 + (-4) = ______

Adding and Subtracting Integers with integer tiles:

Draw integer tiles to demonstrate the below questions. Make sure you show how you are representing positive and negative integers.

  1. (-6) + 5 = ______2. (-12) – (-3) = ______

Multiply and Dividing

The four rules are:

Positive x positive = ______

Negative x negative = ______

Simplify the two above rules: ______

Negative x positive = ______

Positive x negative = ______

Simplify the two above rules: ______

  1. (3)(-4) = ______
  1. (-5)(-13) = ______
  1. (-5)(6) = ______
  1. (8)(14) = ______
  1. (-8)(-12) = ______
  1. (-56) ÷ (-8) = ______
  1. (-144) ÷ (12) = ______
  1. 72 ÷ (-9) = ______
  1. (-84) ÷ 2 = ______
  1. (-132) ÷ (-11) = ______

Order of Operations

What is the order you tackle when solving a multi-operation expression? Which ones do you do at the same time?

  1. 5 + (-3)(-4) + (-12)
  1. 5-12 + (9)(-4)
  1. (9 - 12)(2 + 4)
  1. (7 + 5 – 32)(4-12)
  1. 8(8 - 12 + 4)
  1. (8-10)(8 + 4 – 2)
  1. (-5 + 10 – 23) (-3 + 2 + 3 – 8)
  1. 9 – 3(8-12)
  1. 12 + 3 –(8)(2) + 2
  1. **
  1. **
  1. ** 8 – 2(7 + (-10) + 4)2

Integer Word Problems:Make sure that you show your work!

  1. Roman emperor was born in 63 B.C. and died in 14 A.D. How many years did he live?
  1. A bomb displaces the oil in a well from 975 m deep and raises it to a deposit place 48 m above ground level. How far does the oil displace?
  1. What is the change in temperature a customer in a grocery store experiences when they walk from the chilled vegetable section at 4 ºC to the frozen fish section which is set to −18 ºC?
  1. The air temperature in the atmosphere decreases at the rate of 9 ºC every 300 meters. What height would a plain have to fly to experience a temperature of −81 ºC? The temperature is 0º C at sea level.
  1. On a drive from Revelstoke to Saskatoon, you make a couple of stops. The altitude in Revelstoke is 480m above sea level. Your first night you stay in Golden, which is 800m above sea level. What is the elevation change on day 1? The second day you drive to Calgary, which is 1049 m above sea level. What is the elevation on day 2? Your last leg of the trip you make it all the way to Saskatoon, which is 483m above sea level. What is your elevation change on day 3? What was your overall elevation change from Revelstoke to your destination?