Session+5+Supplement+v.1

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

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

View Full Document Right Arrow Icon
GMAT LESSON 5 Algebra 1
Background image of page 1

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

View Full Document Right Arrow Icon
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
Background image of page 2
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
Background image of page 3

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

View Full Document Right Arrow Icon
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
Background image of page 4
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
Background image of page 5

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

View Full Document Right Arrow Icon
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
Background image of page 6
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
Background image of page 7

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

View Full Document Right Arrow Icon
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
Background image of page 8
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
Background image of page 9

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

View Full Document Right Arrow Icon
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
Background image of page 10
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
Background image of page 11

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

View Full Document Right Arrow Icon
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
Background image of page 12
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
Background image of page 13

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

View Full Document Right Arrow Icon
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.
Background image of page 14
LESSON #5: Algebra 1 Which of the following is the equation of the green line to the right?
Background image of page 15

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

View Full Document Right Arrow Icon
Image of page 16
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 Right Arrow Icon
Ask a homework question - tutors are online