Some Sample Problems!

I couldn't find any appropiate videos yet!

But here are some sample problems for each class. This is what we will concentrating on this week and of course word problems.

Advanced Algebra Sample Problem:

Using the standard form of linear equations, Ax + By = C, it is easy to find x and y intercepts. It is important to remember that A and B must be integers and not zeroes.

For instance - x intercept: 5x - 6y = 30. Let y be zero. So 5x - 6(0) = 30.
That is, 5x = 30. So, x = 6. The x intercept is (6,0).

For instance - y intercept: 5x - 6y = 30. Let x be zero. So 5(0) - 6y = 30.
That is, -6y = 30. So, y = -5. The y intercept is (0,-5).

To find slope, solve the equation for y, into y = mx + b (slope intercept form).
So, 5x - 6y = 30
5x - 5x - 6y = 30 - 5x
- 6y = 30 - 5x
y = -5 + (5/6)x
The slope of the line is (5/6).

What is the slope of 7x + 6y = 84?

Algebra Sample Problem:

Solving Equations involves finding the missing number to make the statement true.

For instance, x + 2 = 4. To solve this problem remember that the additive inverse of a number is the opposite of the number. The additive inverse of 5 is -5. When you add opposites, you get zero.

So, x + 2 = 4.
Then, x + 2 + (-2) = 4 + (-2)
Then, x + 0 = 2
Then, x = 2.

It’s all a balancing act.

Geometry Sample Problem:

Statement: The Governor of Michigan is Jennifer Granholm.

Conditional: If a person is governor of Michigan, then that person is Jennifer Granholm.

Converse: If there is a person called Jennifer Granholm, then that person is governor of Michigan.

Inverse: If a person is not governor of Michigan, then the person is not Jennifer Granholm.

Contrapositive: If there is not a person called Jennifer Granholm, then that person is not governor of Michigan.

Create the four conditional statements for:
1) Detroit is a city in Michigan. 2) Perpendicular lines make four right angles.