Solving Simple Equations
A statement that two expressions are equal
What is an equation?
An equation which is always true.
What is an identity?
a(b+c) = ab + ac
What is Distributive Property of the Sum?
If a = b, then a + c = b + c.
What is the Addition Property of Equality?
An apparent solution that must be rejected because it does not satisfy the original equation
What is an extraneous solution?
C = 5/9 (F-32)
What is Temperature?
Equations that have the same solution
What are equivalent equations?
Not true for any value
What is no solution?
a(b-c) = ab - ac
What is the Difference of the Distributive Property?
If a = b, then a - c = b - c
What is the Subtraction Property of Equality?
This refers to how close a measured value is to the actual value
What is accuracy?
I = Prt
What is simple interest?
If a = b, then a can be substituted for b in any equation or expression.
What is the Substitution Property of Equality?
Product of speed and time
What is the Distance Formula?
To solve this, simplify each side of the equation.
What is a multi-step equation?
If a = b, then a can be substituted for b (or b for a) in any equation or expression
What is the Substitution Property of Equality?
The level of detail of the measurement
What is precision?
d = rt
What is physics?
A value that makes the equation true
What is a solution?
Use these to collect variables on one side and constant terms on the other side
What are inverse operations?
To write this, remove the percent symbol and divide by 100.
What is a percent as a decimal?
If a = b, then ac = bc, c
!= 0
What is the Multiplication Property of Equality?
A ratio of two quantities using different units
What is a rate?
A comparison of two quantities
What is a ratio?
If a = b, then a/c = b/c, c != 0.
What is the Division Property of Equality?
If all real numbers are true, then the original equation has these.
What are Infinitely Many Solutions?
(3.5 + 5.5 + 0 + 5 + x)/5 = 5
What is Mean?
If a = b, then a/c = b/c , c != 0
What is the Division Property of Equality?
An equation that has two or more variables
What is a linear equation?
An equation stating that two ratios are equivalent
What is a proportion?