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## PowerPoint Slideshow about ' Vocabulary' - lucas-haynes

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### Bell Ringer: Simplify by combining like termsA. 3x+-5x+yB. -2/3x-2-7C. –x+7y-xD. -7-8+x+y-4x

Vocabulary

- Term- Is each piece of an expression.
- For example: -3x+3y-8-5x there are 4 terms in this expression. -3x, 3y, -8, and -5x

- Like Term- To simplify an expression, add the coefficients of the similar terms and add the integers.
- For example: -3x, -5x, -3x+-5x=-8x
- Non Example: -3x, 3y or -5x, -8 Neither sets have are like terms because they do not have the same variables.

- Coefficient- Is the number attached to the variable.
- For example: -3x , the coefficient of this term is -3
- Numbers/Intergers are not consider a coefficient. Such as -8

Caution! Caution!

1. The sign to the left of the term goes with the term

- For example: -3x+2x-9+y
- The terms of this expression are -3x, 2x, -9, y
2. If there is NOT a coefficient attached to a variable then we can assume the coefficient is 1.

- The terms of this expression are -3x, 2x, -9, y
- For example: x-y the coefficient of x is 1 and the coefficient of y is -1.

Combining Like Terms- To simplify an expression, add the coefficients of the similar terms and add the integers.

Caution! Caution!

- Adding: When adding opposite signs subtract the absolute value of the larger number minus the absolute value of the smaller number. Keep the sign of the larger number
- EX. -4+9 =9-4= 5 it is a positive because the positive 9 was larger

- Subtracting: When subtracting a negative sign change both the minus sign and the negative sign to a positive.
- Ex. -9-(-8) = -9+8=-1

Combining Like Terms- To simplify an expression, add the coefficients of the similar terms and add the integers.

Solving an Equation with fractions

Steps

Remove fractions by multiplying both sides by the multiplicative inverse

Simplify and rewrite

Add or subtract constant and simplify

2/3(x+6)=20

3/2(2/3(x+6)=20(3/2)

X+6=60/2

x+6=30

X+6-6=30-6

X=24

2/1(1/2(x+4))=6(2/1)

X+4=12/1

X+4=12

X-4+4=12-4

X=(12)+(-4)

X=8

2/5(z-4)=-10

Z-4=-10(5/2)

Z-4=-50/2

X-4=-25

X-4+4=-25+4

X=-21

3/2(2/3(x-6))=3/2(-6)

X-6=-18/2

X-6=-9

X-6+6=-9+6

X=(-9)+(6)

X=-4

5/7(x-7)=-8+3

X-7=7/5(-5)

X-7=-35/5

X-7=-7

X-7+7=-7+7

X=(-7)+(7)

X=0

3x-6-4x-16=25

(3x)+(-4x)+(-6)+(-16)=25

-1x-22=25

-1x-22+22=25+22

-1x=47

-1/-1x=47/-1

X=-47

-5(x-7)-8(x-5)=62

-5x+35-8x+40=62

(-5x)+(-8x)+(35)+(40)=62

-13x+75=62

-13x+75-75=62-75

-13x=(62)+(-75)

-13x=-13

-13x/-13=-13/-13

X=1

4d-8=(3d)+(1d)+(6)

4d-8=4d+6

4d-4d-8=4d-4d+6

-8=6

There is no solution to this problem. -8 can never equal 6.

6x+4=2(3x+2)

6x+4=6x+4

Identity/ All real numbers

6x-6x+4=6x-6x+4

4=4

There are infinite number of solutions. X can equal any real number.

Class work/ Homework

Complete P.55& 100 Worksheet both front and back. Due Wednesday.

Complete Take Home Test

p.185 2, 4-14,17, 23, 26-29. Due Friday

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