Lesson1:Solve linear Equations in one variable

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equation

A mathematical sentence that shows that two expressions are equal.

Coefficient

A number multiplied by a variable in an algebraic expression.

inequality

A statement that compares two quantities using <, >, ≤,≥, or ≠

variable

A symbol (usually a letter) that represents an unknown quantity.

Constant

A value in an expression that does not change.

inverse operations

Operations that undo each other; adition and subtraction, or multiplication.

absolute value

The distance a number is from zero on a number line. ALWAYS POSITIVE

solve

To find the value of the variable to make the equation true.

isolate the variable

To get a variable alone on one side of the equation in order to solve the equation.⁸

subtraction

What is the inverse operation of addition?

multiplication

What is the inverse operation of division?

division

What is the inverse operation of multiplication?

addition

What is the inverse operation of subtraction?

fraction bar

What symbol shows division in Algebra?

property of equality

What you do to one side of the equation, you MUST do to the other side

2(x+1)+3x=5x+2

infinite solutions

3(x+2)-4=3(x+2)-7

no solution

Terms

the numbers or variables being added or subtracted

2 (x + 2) = 2

x = -1

9 (-4x - 29) = 99

x = -10

3x = 2 (7 + 5x)

x = -2

7 (2 - x) - 5= 30

x = -3

5 (x - 6) = 3 + 8 (x + 9)

x = -35

12 (-2x - 9) = -12

x = -4

5 (n + 2) = 3n

x = -5

17 (3x + 2) = -272

x = -6

12 (-x + 5) = 144

x = -7

245 = -5 (4x - 17)

x = -8

1+ 4 (2x + 1) = 5

x = 0

5 (7x - 13) = -30

x = 1

-210 = -7 (9x - 60)

x = 10

2 (x + 1) = 6x - 46

x = 12

3 (5x - 2) + 2 = 26

x = 2

2(x + 1) + 4 = 12

x = 3

x + 3 = 3 (11 - 3x)

x = 3

2x - 4 = -4 (x - 5)

x = 4

-10 (-4x + 7) = 130

x = 5

3x + 4 + 2x + 5 = 34

x = 5

5 (5 - x) = -5

x = 6

2 (3x + 1) = 7x - 5

x = 7

5x+7=9+7x

x= -1

9x+3=-6

x= -1

9x+9=7x-5

x= -7

7x+7=8-52x

x= 59

3(x-2)+2(x+1)=-14

x=-2

13-(2x+2)=2(x+2)+3x

x=1

3(5-x)-2(5+x)=3(x+1)

x=1/4 or 0.25

10x-3=97

x=10

-x+8=3x X 1

x=2

15 - 3(x - 1)=12

x=2

32x+8=2x+8

x=2

5x+2=12

x=2

5(2-x)-3(4-2x)=20

x=22

2x-5=1

x=3

x +7 = 9 - 5x

x=3

3x=90

x=30

x-6=24

x=30

4x-1=15

x=4

x+5=50

x=45

-3(x + 3) + 15 = -12

x=6

2x+5=17

x=6

7x=42

x=6

x/4=16

x=64

7x-1=49

x=7


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