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Basic Math

Comparing and ordering numbersBasic Math

Prime factorizationAlgebra

Introduction to Exponents- Home
- EQAO Grade 9 Foundations of Math
- Patterns and Solving Equations

Still Confused?

Try reviewing these fundamentals first

Basic Math

Comparing and ordering numbersBasic Math

Prime factorizationAlgebra

Introduction to ExponentsStill Confused?

Try reviewing these fundamentals first

Basic Math

Comparing and ordering numbersBasic Math

Prime factorizationAlgebra

Introduction to ExponentsNope, got it.

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Get Started NowStart now and get better math marks!

Get Started NowStart now and get better math marks!

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Get Started Now- Intro Lesson9:08
- Lesson: 1a1:31
- Lesson: 1b1:26
- Lesson: 1c1:33
- Lesson: 22:38
- Lesson: 33:11
- Lesson: 4a3:31
- Lesson: 4b1:53
- Lesson: 4c2:15
- Lesson: 4d1:15
- Lesson: 5a1:31
- Lesson: 5b2:05
- Lesson: 6a1:49
- Lesson: 6b2:06
- Lesson: 6c0:48
- Lesson: 6d1:12

In previous sections, we use number lines with arrows to represent given statements. We also learned addition statements. In this section, we are looking at subtraction statements. A thermometer is just like a number line, except thermometers are vertical. As the line on a thermometer moves down, the temperature gets cooler and as the line moves up, the temperature gets warmer. In this section, the blue arrows on the number line will move to the left, or down the number line, and represent negative integers. The red arrows will move to the right, or up the number line, and represent positive integers.

Related Concepts: Adding and subtracting decimals, Order of operations (PEMDAS), Using models to add and subtract fractions, Subtracting fractions with like denominators

In this lesson, we will learn:

- Subtracting 1-digit Integers Vertically– Like Signs
- Subtracting 1-digit Integers Vertically – Unlike Signs
- Subtracting 2-digit integers Vertically

- The order of the integers is NOT interchangeable.
- Simplify the expression by removing the brackets.
- Two like signs produce a positive sign.
- Two unlike signs produce a negative sign.

- Introduction
__Introduction to subtracting integers vertically__ - 1.Subtract using a number line.a)(+5) – (+2)b)(+9) – (+7)c)(-10) – (-3)
- 2.George lives 15 floors up from street level in his apartment. He rides down the elevator from his room to a parking level that is two floors below street level. How many floors does he ride down in total?
- 3.The temperature recorded in Whitehorse, Yukon on Christmas day is -20 degrees Celsius. On the same day in Hawaii, the temperature is + 25 degrees Celsius. What is the temperature difference between these two places?
- 4.
**Subtracting 1-digit Integers Vertically– Like Signs**

Subtract the following integers vertically.a)$(+5)-(+2)$b)$(+3)-(+9)$c)$(-2)-(-6)$d)$(-9)-(-7)$ - 5.
**Subtracting 1-digit Integers Vertically – Unlike Signs**

Subtract the following integers vertically.a)$(+3)-(-4)$b)$(-1)-(+6)$ - 6.
**Subtracting 2-digit integers Vertically**

Subtract the following integers vertically.a)$(+36)-(+79)$b)$(-47)-(-82)$c)$(+53)-(-28)$d)$(-25)-(+66)$

10.

Patterns and Solving Equations

10.1

Patterns

10.2

Subtracting integers

10.3

Evaluating algebraic expressions

10.4

Solving one - step equations: $x + a = b$

10.5

Model and solve one-step linear equations: $ax = b$, $\frac{x}{a} = b$

10.6

Solving two-step linear equations using addition and subtraction: $ax + b = c$

10.7

Solving two-step linear equations using multiplication and division: $\frac{x}{a} + b = c$

10.8

Solving two-step linear equations using distributive property: $\;a\left( {x + b} \right) = c$

10.2

Subtracting integers

10.5

Model and solve one-step linear equations: $ax = b$, $\frac{x}{a} = b$

10.6

Solving two-step linear equations using addition and subtraction: $ax + b = c$

10.7

Solving two-step linear equations using multiplication and division: $\frac{x}{a} + b = c$

10.8

Solving two-step linear equations using distributive property: $\;a\left( {x + b} \right) = c$