Chapter 4: Solving Inequalities 4.6 Absolute Value Equations and Inequalities.
Chapter 2 Equations and Inequalities
-
Upload
zahir-hart -
Category
Documents
-
view
89 -
download
2
description
Transcript of Chapter 2 Equations and Inequalities
![Page 1: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/1.jpg)
Chapter 2Equations and Inequalities
![Page 2: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/2.jpg)
2.1 More on Solving Equations
![Page 3: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/3.jpg)
When an equation contains fractions or decimals, we can use the multiplication property to eliminate them. The process is called clearing the equation of fractions or decimals.
Objective: Solve equations containing fractions or decimals.
![Page 4: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/4.jpg)
![Page 5: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/5.jpg)
Solving an Equation with Decimals
Solve the equation by clearing it of all decimals first.
![Page 6: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/6.jpg)
Solve the equation by clearing it of all fractions or decimals first.
A
B
C
![Page 7: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/7.jpg)
Objective: Use the principle of zero products to solve equations.
Solving an Equation with Zero Products
( 3)( 2) 0Solve x x 2 ( 1) 0Solve x x
![Page 8: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/8.jpg)
Solving an Equation with Zero Products
( 2 5)(5 1) 0Solve x x
![Page 9: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/9.jpg)
Solving an Equation with Zero Products
D (2 4)( 4) 0x x
Solve the equation using the zero products property.
E (2 16) 0x x
![Page 10: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/10.jpg)
Solving an Equation
Solve the equation
( 4) ( 4)x x x x
![Page 11: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/11.jpg)
Solving an Equation
Solve the equation
3 1( 4) 4(2 5) 4( 4) (2 5)
5 2x x x x
![Page 12: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/12.jpg)
2.2 Using Equations
![Page 13: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/13.jpg)
Objective: Solve problems by translating to equations.
![Page 14: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/14.jpg)
Objective: Solve problems by translating to equations.
A 23-ft cable is cut into two pieces, one three times as long as the other. How long are the pieces?
![Page 15: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/15.jpg)
Herman is doing an experiment that calls for a 40% solution of copper sulfate. He has a 60ml of a solution that is 25% copper sulfate. How many milliliters of a 70% solution should Herman add to obtain the required 40% solution?
![Page 16: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/16.jpg)
Two cars leave the 7-11 at the same time going in the same direction. One car is going 45 mph and the other car is going 58 mph. In 2.5 hours how far apart are they?
![Page 17: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/17.jpg)
A popular music CD was discounted 25% to $8.42. What was the original price?
![Page 18: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/18.jpg)
Write an equation and use it to solve the following
F A tank at a marine exhibit contains 2000 gallons of sea water. The sea water is 7.5% salt. How many gallons, to the nearest gallon, of fresh water must be added to the tank so that the mixture contains only 7% salt?
![Page 19: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/19.jpg)
HW #2.1-2Pg 64 15-41 Odd, 42-46
Pg 70 19-27 Odd
![Page 20: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/20.jpg)
Pg 64 41 Pg 64 44 Pg 70 25 Pg 70 27
Pg 64 39 Pg 64 42 Pg 70 21 Pg 70 27
HW Quiz #2.1-2Thursday, April 20, 2023
![Page 21: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/21.jpg)
2.3 Solving Formulas
![Page 22: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/22.jpg)
Objective: Solve a formula for a specified letter.
A formula is a rule for doing a specific calculation.
Solving a Formula for a specific variable
![Page 23: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/23.jpg)
Solving a Formula for a specific variable
![Page 24: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/24.jpg)
Solving a Formula for a specific variable
![Page 25: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/25.jpg)
Solving a Formula for a specific variable
1 1 1 1Solvefor :x
z y x w
![Page 26: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/26.jpg)
A: Solvefor : 3 5r Q r p
B: Solvefor : rp A p p t
![Page 27: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/27.jpg)
2.4 Solving Inequalities
![Page 28: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/28.jpg)
Objective: Determine if a number is a solution of an inequality and graph the solution set.
If a number occurs to the left of another on the number line, the first number is less than the second, and the second is greater than the first.
2 3 3 2
![Page 29: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/29.jpg)
Objective: Solve and graph inequalities using the addition property.
![Page 30: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/30.jpg)
Objective: Solve and graph inequalities using the multiplication property.
![Page 31: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/31.jpg)
Solving an Inequality
( 3)( 2) 0x x ( 4)( 5) 0x x
![Page 32: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/32.jpg)
Solving an Inequality
30
3xx
40
3xx
![Page 33: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/33.jpg)
G ( 4)( 5) 0x x 4F 0
3xx
![Page 34: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/34.jpg)
HW #2.3-4Pg 72 17-23 Odd, 25-31Pg 77 19-27 Odd, 28-38
![Page 35: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/35.jpg)
Pg 72 26 Pg 72 28 Pg 77 30 Pg 77 34
Pg 72 28 Pg 72 30 Pg 77 32 Pg 77 36
HW Quiz #2.3-4Thursday, April 20, 2023
![Page 36: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/36.jpg)
2.5 Using Inequalities
![Page 37: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/37.jpg)
Suppose that a machinist is manufacturing boxes of various sizes with rectangular bases. The length of a base must exceed the width by at least 3 cm, but the base perimeter cannot exceed 24 cm. What widths are possible?
![Page 38: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/38.jpg)
2.6 Compound Inequalities
![Page 39: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/39.jpg)
![Page 40: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/40.jpg)
A compound inequality is two simple inequalities joined by “and” or “or.”
Objective: Solve compound inequalities.
Statements involving the word “and” are called
conjunctions.For a conjunction to be true
all individual statements must be true
Statements involving the word “or” are called
disjunctions.A disjunction is true when at least one of the statements is
true
![Page 41: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/41.jpg)
Conjunctions2 3x and x
2 3x and x
In mathematics, conjunction is called intersection and is symbolized by the symbol:
![Page 42: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/42.jpg)
Disjunctions
2 3x or x
2 3x or x
In mathematics, disjunction is called union and is symbolized by the symbol:
![Page 43: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/43.jpg)
![Page 44: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/44.jpg)
Solve the following inequalities. Graph your solution on a number line and write them in interval notation.
A 4 3( 2) 2x 3 3
B 1 0 1 52 2
x or x
C 22 50 20 68x D 1 5 1 3x or x
![Page 45: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/45.jpg)
Write and solve a compound inequality that is the conjunction of two disjunctions.
Write an inequality that has no solution and show it has no solution.
Write an inequality whose solutions are all real numbers and show why the solutions are all real numbers.
![Page 46: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/46.jpg)
HW #2.5-6Pg 81 10-18
Pg 85-86 1-31 Odd, 33-45
![Page 47: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/47.jpg)
Solve Write answer in interval notation
-2 < 3x – 4 < 8
Solve Write answer in interval notation
-2 < 3x – 4 or 3x – 4 ≤ 8
Solve Write answer in interval notation
-4 < 3x – 4 < 8
Solve Write answer in interval notation
-4 < 3x – 4 or 3x – 4 ≤ 8
HW Quiz #2.5-6Thursday, April 20, 2023
Row 1, 3, 5
Row 2, 4
![Page 48: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/48.jpg)
2.7 Absolute Value
![Page 49: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/49.jpg)
|2| = |-2| = 2
![Page 50: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/50.jpg)
![Page 51: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/51.jpg)
Objective: Simplify absolute value expressions.
![Page 52: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/52.jpg)
![Page 53: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/53.jpg)
![Page 54: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/54.jpg)
Objective: Find the distance between two points using absolute value.
![Page 55: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/55.jpg)
Objective: Solve and graph equations and inequalities involving absolute value.
![Page 56: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/56.jpg)
Objective: Solve and graph equations and inequalities involving absolute value.
![Page 57: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/57.jpg)
Objective: Solve and graph equations and inequalities involving absolute value.
![Page 58: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/58.jpg)
Objective: Solve and graph equations and inequalities involving absolute value.
![Page 59: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/59.jpg)
Objective: Solve and graph equations and inequalities involving absolute value.
![Page 60: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/60.jpg)
Objective: Solve and graph equations and inequalities involving absolute value.
![Page 61: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/61.jpg)
Objective: Solve and graph equations and inequalities involving absolute value.
![Page 62: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/62.jpg)
| 1| | 2 |x x | 1| | 2 |x x
![Page 63: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/63.jpg)
5 2 1x x
![Page 64: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/64.jpg)
![Page 65: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/65.jpg)
Objective: Solve and graph equations and inequalities involving absolute value.
![Page 66: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/66.jpg)
HW #2.7Pg 91 1-37 Odd, 38-51
![Page 67: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/67.jpg)
Solve
|2x – 3| > 5
Solve
|2x – 3| < 11
Solve
|3x – 2| > 6
|3x – 2| < 10
HW Quiz #2.7Thursday, April 20, 2023
Row 1, 3, 5
Row 2, 4
![Page 68: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/68.jpg)
2-8 Proofs in Solving Equations
![Page 69: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/69.jpg)
Test 1-2
• Part 1-5Questions
• 2-proofs– Any Proof in the HW– Any Proof I did in class
• 1-Closure
• 2 questions with no numbers
![Page 70: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/70.jpg)
Objective: Prove conditional statements.
Conditional Statements
P QAntecedentHypothesis Consequence
Conclusion
To prove a conditional statement you assume the Hypothesis and Show the conclusion must also be true.
![Page 71: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/71.jpg)
Use a two column proof or narrative proof
![Page 72: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/72.jpg)
![Page 73: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/73.jpg)
P QObjective: Write and prove the converse of a conditional statement.
Q PConditional Statement
Converse of the Conditional
Statement
To prove a the converse of a conditional statement you assume the Conclusion and Show the Hypothesis must also be true.
![Page 74: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/74.jpg)
![Page 75: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/75.jpg)
![Page 76: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/76.jpg)
Objective: Solve equations and inequalities by proving a statement and its converse.
P QandP Q Q P
Biconditional
![Page 77: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/77.jpg)
![Page 78: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/78.jpg)
![Page 79: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/79.jpg)
![Page 80: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/80.jpg)
![Page 81: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/81.jpg)
![Page 82: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/82.jpg)
![Page 83: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/83.jpg)
![Page 84: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/84.jpg)
![Page 85: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/85.jpg)
![Page 86: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/86.jpg)
HW #2.8Pg 96-97 1-21 Odd, 23-32
![Page 87: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/87.jpg)
Test Review Topics
• Simplify – Order of Operations• Solve Equations• Exponents – Multiply/Divide – Negative Exponents• Word Problem • Compound Inequalities – Interval Notation• Absolute Value• Sign Charts• Solve for a Variable• Factoring – to solve quadratics
![Page 88: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/88.jpg)
5 2 1| | | |x x
![Page 89: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/89.jpg)
2 2 10 8| |x
![Page 90: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/90.jpg)
20
3 1( )( )
x
x x
![Page 91: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/91.jpg)
x yp
xy
![Page 92: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/92.jpg)
2 7 36 2 x x x
![Page 93: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/93.jpg)
A suitcase of money contains b hundred dollar bills. After the bills are distributed evenly among g federal agents, 8 hundred dollars bills are left over. In terms of b and g, how many hundred dollar bills did each agent get?
![Page 94: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/94.jpg)
If a Citation Jet travels at an average speed of x miles per hour, how many hours would it take the Citation to travel 800 miles?
![Page 95: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/95.jpg)
HW R1-2
• Study Hard
![Page 96: Chapter 2 Equations and Inequalities](https://reader033.fdocuments.net/reader033/viewer/2022061605/56813648550346895d9dc80e/html5/thumbnails/96.jpg)
Find the area of an equilateral triangle