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Adults.
Algebra for Adults:
Part 14, Second Review:
March 10, 2003:
Here are the problems from last time.
V = LWH
L = V/WH, W = V/LH, H = V/LW
E = IR
I = E/R, R = E/I
D = RT
R = D/T, T = D/R
s = 26r
r = s/26
C = 6.28r
r = C/6.28
z = 3a + d
d = z - 3a, a = (z - d)/3
t = 6d - 4
d = (t + 4)/6
If you had a problem with any of these you may want to review the rules of equality.
Now let's review.
In algebra 10 we defined an equality.
An equality is a statement that two expressions have the same
_______.
That means, the expressions are _______ to each other.
5x = 10 is an __________.
We defined an _________ as: an equality wherein the unknown quantity or quantities may have only one value or values.
We also found an identity to be an equality in which a letter or letters may have _____________.
For example:
The statement 4y + 5y = 9y is an ____________ since y may have
any value.
An equation is a __________________ equality. Because only
one value of the unknown will satisfy it.
An identity is an _________________ equality because the unknown
may have any value.
We also defined the root of an equation as The number which when substituted for the unknown, will make the equation equal.
So the root is just the solution to the equation.
For example:
In the statement 5z + 4 = 19 the root is ____
2x + 78 = 22, is an __________.
5z - 4 = 21, is an ______________.
2a + 3a = 5a, is an ___________.
Find the root of 18c = 36
Derive equations for these statements.
Six times what number equals thirty?
Five times a number less ten is equal to fifteen.
Addition and subtraction are ___________ operations.
If addition is involved in the unknown of an equation, we can use ______________ to solve for the unknown.
Inverse operations are two operations such that if one is involved with the unknown in an equation, the other is used to solve the equation.
Multiplication and _____________ are inverse operations.
We can use multiplication to check ____________ and vice versa.
The Addition Rule of Equality is: If equal numbers are added to both sides of an equation the equality does not change.
The Subtraction Rule of Equality is: If equal numbers are added to both sides of an equation the equality does not change.
The Multiplication Rule of Equality is: If both sides of an equation are multiplied by the same number, the equality does not change.
The Division Rule of Equality is: If both sides of an equation are divided by the same number, the value does not change.
We do not change the ____________ of an equation when we perform the same operation on both sides using the same number except division by zero.
Solve the following problems.
15z = 45
6a + 16 = 34
c - 35 = 42
c + 2c - 27 = 3
7y - 2y = 35
Formally, a _________ is a statement or equation of a fact, rule, or other logical relationship.
In other words, a ___________ is just a standardized equation for a particular kind of situation.
If we traveled in our auto for two and one half hours at a rate of sixty four miles per hour, how far would we have traveled?
We will check the answers to this review next time.
Back to Algebra for Adults.
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