Sunday, September 27, 2015

Grade 12 Algebra

GRADE 12 MATH: ALGEBRA LINEAR EQUATIONS & LINEAR FUNCTIONS

Grade XII is the culmination of 12 or more years of studying in the elementary and secondary education systems. It is the end of one's formal education unless one goes to college.

Grade 12 Algebra combines everything you have learned from grades K-12 mathematics and you need to be ready to pass your high school exit exam, like California's High School Exit Examination.

Here, we discuss linear equations and linear functions.

A straight line in the physical world can be described mathematically. We can described it using a linear equation. The word “linear” comes from the word “line”.

We can described the line in different forms, but here are 3 common ways to describe a straight line.

Straight Line Equation in Slope-Intercept Form: y = mx + b.
Straight Line Equation in Point-Slope Form: y - y1 = m(x - x1) since m = (y - y1) / (x - x1).
Straight Line Equation in General Form: Ax + By + C = 0.

A straight line equation demonstrates a linear function property if for every x value, there is only one y value. Therefore, based on this definition, a vertical line does not demonstrate a linear function.

Here’s a practice exam for GRADE 12 MATH: ALGEBRA LINEAR EQUATIONS & LINEAR FUNCTIONS.

Question 1-3. What is the slope-intercept form equation of a straight line that contains point (-1, -2) and has slope m = 40?
Answer: _____
Question 4. What is the slope-intercept form equation of a straight line that has y-intercept b = -2 and has slope m = -2?
Answer: _____
Question 5-6. What is the slope-intercept form equation of a straight line that has the equation 3x + 4y = 7?
Answer: _____
Question 7. What is f(10) using f(x) = 10x + 10?
Answer: _____
Question 8. What is f(10) using f(x) = 7?
Answer: _____
Question 9. What is (f+g)(x) using f(x)=-2x+4 and g(x)=3x+1?
Answer: _____
Question 10. What is (f-g)(x) using f(x)=-2x+4 and g(x)=3x+1?
Answer: _____

Think like a mathematician.

John Sindayen

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