Session+5+Supplement+v.1

# Session+5+Supplement+v.1 - LESSON#5 Algebra 1 Title Page...

This preview shows pages 1–16. Sign up to view the full content.

GMAT LESSON 5 Algebra 1

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
LESSON #5: Algebra 1 Important Algebraic Properties: Properties of 0 The number 0 is unique. It is the only number that is neither positive nor negative. It also has other important properties: a + 0 = 0 + a = a a – 0 = a 0 – a = (– a ) 0 × a = 0 = 0, ( a ≠ 0) 0 a a 0 a 0 = 1 , ( a ≠ 0) 0 a = 0, ( a ≠ 0) ab = 0 a = 0 and/or b = 0
LESSON #5: Algebra 1 Properties of 0 If ( t – 7)(15 + ) = 0, which of the following is a possible value of t ? –7 –3 3 5 t 1 3 1 3

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
LESSON #5: Algebra 1 Important Algebraic Properties: Properties of 1 The number 1 also has special properties that are important to remember: 1 × a = a = a a 1 a 1 = a 1 a = 1
LESSON #5: Algebra 1 1. 2. If m and n are different integers, what is m + n ? m × n = n ( n + 1) m +1 = 1 Properties of 0 and 1

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
LESSON #5: Algebra 1 What is the coefficient of the ab 2 term in the expansion of the expression (2 a + 3 b )(4 a – 5 b )( a + 2 b ) ? –18 –15 –11 11 18 FOIL
LESSON #5: Algebra 1 Solving linear equations with one variable If 5 n – 4 = 2 n + 17, then 6 n = –42 –18 7 18 42

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
LESSON #5: Algebra 1 Profit, Revenue, and Cost A company produces widgets for which costs consist of fixed costs totaling \$80,000 and variable costs averaging \$12 per widget. If the selling price of each widget is \$23, how many widgets must the company produce and sell to earn an annual profit of \$250,000? 14,348 15,455 22,727 25,000 30,000
LESSON #5: Algebra 1 Solving Equations: Substitution 1. Solve for one variable 2. Substitute 3. Solve for the value of the second variable 4. Substitute to solve for value of the first variable Let’s solve the system: y = 3 x – 2 6 = y x

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
LESSON #5: Algebra 1 Translating Words Into an Equation In x + 2 years, Joe’s age will be double what it was x – 7 years ago. If Joe was x years old 6 years ago, how old will Joe be in 3 years? 9 12 15 18 21
LESSON #5: Algebra 1 1. 2. In which quadrant in the coordinate plane is the point with coordinates ( a , b )? ab < 0 a b = 2 Quadrants

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
LESSON #5: Algebra 1 If we know the coordinates of two points on a line, ( x 1 , y 1 ) and ( x 2 , y 2 ), we can find the slope of the line: Calculating the Slope of a Line Slope = y 2 – y 1 x 2 – x 1
LESSON #5: Algebra 1 Intercepts of a Line Every line that is neither perfectly vertical (no slope) nor perfectly horizontal (slope = 0) has two intercepts: y -intercept, x = 0 x -intercept, y = 0

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
LESSON #5: Algebra 1 Equation of a Line The most common form for the equation of a line is called slope-intercept form . An equation in this form tells us both the line’s slope and its y -intercept. Slope-intercept form is expressed as: y = mx + b m is the slope of the line b is the y -intercept of the line ( x , y ) is any point on the line The equation of a line describes the relationship between the x and y coordinates of all points on that line.
LESSON #5: Algebra 1 Which of the following is the equation of the green line to the right?

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 34

Session+5+Supplement+v.1 - LESSON#5 Algebra 1 Title Page...

This preview shows document pages 1 - 16. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online