Lesson1:Solve linear Equations in one variable
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
