Name That Part
In the algebraic expression 2x + 3, what is the variable?
x
x+9= 15
x=6
4x=20
x=5
Why do we use inverse operations to solve an algebraic equation?
To get the variable by itself and keep both sides of the equal sign balanced.
Fractions represent this operation.
In the algebraic equation 2x + 3 = y, what is the coefficient?
2
20+ x =48
x=28
x/2 = 5
x=10
What would be your first step to solve 5x + 2 = 10?
Subtract 2 from both sides.
When solving a two step equation how many terms are usually on the same side?
Two
In the algebraic equation 2x + 3 = y, what is the constant?
3
x+8= 14
x=6
5x=80
x=16
What would be your first step to solve
(2x + 1)/2 =6
Multiply both sides by 2.
How does an equation differ from an expression?
An equation has an equal sign, an expression only has terms.
In the algebraic equation 2x + 3 = y, what is the independent variable (input)?
x
21= d-6
x=27
3= 24/x
x=8
Are these equations equivalent?
x + 2 = 7 and 2x + 1 = 11
YES
Describe the Distributive Property
You need to multiply the number outside the parenthesis by each term that is inside the parenthesis.
In the algebraic equation 2x + 3 = y, what is the dependent variable (output)?
y
12= 2x-12
x=12
169 = 13x + 13
x=12
Are these equations equivalent?
2x + 4 = 20 and 2x + 7 = 23
YES
X is typically the (independent/dependent) variable.
X is typically the independent variable.
Y is typically the dependent variable. This means that the value of Y will depend on the value of X.