1.1 Expressions

Expressions

Poll

How many remember Order of Operation

• I know this very well

• I remember some of it

• Never heard of it

When we perform multiple operations while simplifying an expression, the operations must be performed in this order

You must always work from Left to Right

​

Order of Operation

Multiple Choice

So let put these in the right order. What is the 1st step of PEMDAS?

2(4+5) -9 $$\div$$ 3 + 2²

• Parentheses, you got to add 4+5

• Divided, you need to divided -9 $$\div$$ 3

• Add, you need to add 3 + 2

• Exponent. You need to find 2² or 2x2

Multiple Choice

So when working with expressions we always start with parentheses or grouping. What my next step?

2(9) -9 $$\div$$ 3 + 2²

• Multiply, you need to multiply 2 x 9

• exponent, you need to find 2² or

  2 x 2

• Add, you need to add 3 + 2

• Subtract, You need to subtract 9 - 9

Multiple Choice

So the 2nd step is to find the exponent. What my next step?

2(9) -9 $$\div$$ 3 + 4

• Add 3 + 4

• Subtract 9-9

• Multiply 2 x 9

• divided -9 $$\div$$ 3

Multiple Choice

Working Left to Right we need to Multiply before what? What is my next step?

18 -9 $$\div$$ 3 + 4

• Add 3 + 4

• Subtract 18 - 9

• Divided $$9\div3$$

Multiple Choice

Order of Operation said that we add and subtract last, but which one do I do 1st?

18 -3 + 4

• We work from Left to Right, so you subtract 18 - 3

• We work from Right to Left, so you

  Add 3 + 4

Poll

So you subtract 18 - 3 = 15 and then add 4 to it. So the answer is 19

How do you feel about order of operation?

• I got it. We can move on

• I still need some help

• I'm so loss

Let start working on the Lesson

Please keep this open, we will be using it durning our lesson.

Multiple Choice

Let practice! What the 1st step?

Use the order of operations to evaluate this expression:

(-2 + 1) ² + 5( $$12\div3$$ ) - 9

• Product

• Parentheses

• Power

• Prime

Multiple Choice

Start off with the parentheses. What the 2st step?

Use the order of operations to evaluate this expression:

(-1) ² + 5(4) - 9

• Even Number

• Equation

• Exponent

• Empty Set

Multiple Choice

(-1)(-1) equal 1. We have solve the exponent. What the 3st step?

Use the order of operations to evaluate this expression:

1 + 5(4) - 9

• Add

• Subtract

• Multiply

Multiple Choice

5 x 4 = 20. We have solve the Multipion and we do not have a Divination. Which way do I go?

Use the order of operations to evaluate this expression:

1 + 20 - 9

• Add 1 + 20, because you go from

  Left to Right

• Subtract 20 - 9 because you go from

  Right to Left

Let start working on the Lesson

Please keep this open, we will be using it durning our lesson.

Multiple Choice

Look at this expression, and complete the statements.

3x + 2(x + 2) + 4

3 is

• Coefficient

• Factor

• Term

• Constant

Multiple Choice

Look at this expression, and complete the statements.

3x + 2(x + 2) + 4

(x + 2) is

• Coefficient

• Factor

• Term

• Constant

Multiple Choice

Look at this expression, and complete the statements.

3x + 2(x + 2) + 4

4 is

• Coefficient

• Factor

• Term

• Constant

Multiple Choice

Look at this expression, and complete the statements.

3x + 2(x + 2) + 4

3x, 2(x + ), 4

• Coefficient

• Factor

• Term

• Constant

Let start working on the Lesson

Please keep this open, we will be using it durning our lesson.

Multiple Choice

Simplify this expression:

4(1 - 2b) + 7b - 10

What do I need to do to get rid of the parentheses?

• Subtract 1 - 2b

• Add 4 + 1

• Multiply the 4 by what inside the parentheses. 4(1) & 4(2b)

• You can just drop them

Multiple Choice

Anytime we need to get rid of the parentheses we have to use the distributive property and multiply the number outside by the numbers inside. What is my like terms I can add or subtract together?

4(1) -4(2b) + 7b - 10 = 4 - 8b + 7b -10

• We can combine the 4 & -10,

  -8b & 7b

• We can combine the -8b & -10,

  4 & 7b

• We can combine the 7b & -10,

  4 & -8b

• We can combine the -8b & 4,

  -10 & 7b

Answer

To combine like term we need to have the same variable rise to the same power. So we can combine -8b and 7b. We can also combine 4 and -10

8 is the larger number, so we keep the (-) sign and subtract 8b-7b = 1b, so the answer is -1b or -b
10 is the larger number, so we keep the (-) sign and subtract 10-4 = 6, so the answer is -6

Answer to Simplify this expression:
4(1 - 2b) + 7b - 10 = -b - 6

Poll

Ready to Move on??

• I got it

• I need help with something

• Totally loss

Let start working on the Lesson

Please keep this open, we will be using it durning our lesson.

Multiple Choice

What is the value of this expression when a = 2 and b = -3?

$$\frac{a^3\ +\ b^3}{5}$$

After I input a & b I would get what?

• $$\frac{\left(-6\right)^3-\left(-3\right)^3}{5}$$

• $$\frac{\left(-3\right)^3-\ 2^3}{5}$$

• $$\frac{1^3-4^3}{5}$$

• $$\frac{2^3-\left(-3\right)^3}{5}$$

Multiple Choice

$$\frac{2^3\ +\ \left(-3\right)^3}{5}$$

So if we solve for the exponent what the base and exponent look like?

• $$\frac{2x2^{ }+\left(-3\right)\left(-3\right)^{ }}{5}$$

• $$\frac{2x2x2+\ \left(-3\right)\left(-3\right)\left(-3\right)}{5}$$

• $$\frac{\left(2-3\right)\left(2-3\right)\left(2-3\right)}{5}$$

• $$\frac{2x3+\left(-3\right)x3}{5}$$

Multiple Choice

After multiply everything out it will look like this

$$\frac{8\ -\ \left(-27\right)}{5}$$

What happen to a number if I multiply two (-) negative number?

• I get a positive number

• It stay negative number

​Answer

Let start working on the Lesson

Please keep this open, we will be using it durning our lesson.

Multiple Choice

Evaluate the expression for m = -3.

$$-4\left|5+m\right|$$

What do I put in for m?

• $$-4\left|5+4\right|$$

• $$-4\left|5-3\right|$$

• $$-4\left|5+1\right|$$

• $$-4\left|5-9\right|$$

Multiple Choice

So $$-4\left|5-3\right|\ =\ -4\left|2\right|$$ Since 5-3 = 2, I have solve what in the Absolute Value. What does Absolute Value mean??

• Absolute value take any number and make it positive, so $$\left|2\right|=2$$

• Absolute value take any number and make it negative, so $$\left|2\right|=-2$$

Multiple Choice

Absolute Value take any number and make it positive, so -4 x 2. What happen when a negative number is multiply by a positive number?

• It stay negative, so -4 x 2 = -8

• It turn positive, so -4 x 2 = 8

Poll

Great Job! so the Answer to

Evaluate the expression for m = -3 $$-4\left|5+m\right|\ =\ -8$$

This is the end of the Quizizz. Nice job everyone!! Let us go over the summary and that the Mastery Test. Are you ready for the Test??

• I got this

• I understand most, but need a little help

• What are we doing?? I don't understand this at all