One-Step Equations
Solving Equations
Solve for x.
2x = 8
What is:
x = 4
What is an independent variable?
Its value is independent of other variables
Write an expression
m/2=16
2x + 5 + 3x
5x+5
a+b=b+a
Communitive Properties of Addition
Solve the equation
X + 4 = -88
What is:
X = -92
What is a dependent variable
Its value depends on changes in the independent variable
write an expression
7+b=18
10a - 3a + 2 + 1
7a+3
a(bxc)=(axb)c
Associative Property of Multiplication
solve the equation
z/30 = 70
z = 2,100
Which variable represents independent variables?
What is:
x
write an expression
m-65=22
2p + 4p + 1 – 1
6p
or
6p+0
a(b+c)=ab +ac
Distributive Property of Multiplication over Addition
solve the equation
-4x = 14
What is:
x = -3.5
Which variable represents dependent variables?
What is:
y
A Girl Scout troop is selling 12 varieties of cookies. The troop charges $4 per box of cookies. It earns a profit of $0.40 for every box of cookies sold. What is the independent variable for this situation.
Boxes sold
3 + 5 + x
8 + x
(a+b)+c=a+(b+c)
Associative Property of Addition
Solve the Equation:
f - 9 = -58
What is:
f = -49
Every day at lunch, Milly swims laps in the pool for one hour. The faster her speed, the more laps she is able to swim in the hour.
s = the speed at which Milly swims
l = the number of laps Milly is able to swim in one hour
Which of the variables is independent and which is dependent?
S = independent
l = dependent
A Girl Scout troop is selling 12 varieties of cookies. The troop charges $4 per box of cookies. It earns a profit of $0.40 for every box of cookies sold. What is the dependent variable for this situation.
Profit, the profit depends on the amount of boxes sold.
4x + 3 - x + 2
3x+5
a x 1 = a
Identify Property of Multiplication