EXAMPLE 4 Standardized Test Practice

Slides:



Advertisements
Similar presentations
EXAMPLE 1 Standardized Test Practice SOLUTION Substitute several values of h into the equation C = h and solve for C.Then identify the table that.
Advertisements

EXAMPLE 1 Solving an Equation Involving Decimals A colony of coral is 0.17 meter high and is growing at a rate of meter per year. Another colony.
EXAMPLE 5 Write and solve an equation
• Write an inequality that describes your goal in terms of x and y.
Objective: To graph linear inequalities in two variables.
EXAMPLE 3 Standardized Test Practice SOLUTION
Solving Addition and Subtraction Equations. One way to solve an equation is to use inverse operations. Inverse Operations is an operation that undoes.
Solve an equation with variables on both sides
Use the cross products property EXAMPLE 1 Write original proportion = x 6 Solve the proportion =. 8 x 6 15 Cross products property Simplify. 120.
Solve an equation by combining like terms
EXAMPLE 6 Solve a multi-step problem Job Earnings You have two summer jobs at a youth center. You earn $8 per hour teaching basketball and $10 per hour.
Solve an absolute value equation EXAMPLE 2 SOLUTION Rewrite the absolute value equation as two equations. Then solve each equation separately. x – 3 =
EXAMPLE 2 Using the Cross Products Property = 40.8 m Write original proportion. Cross products property Multiply. 6.8m 6.8 = Divide.
Solve an equation using subtraction EXAMPLE 1 Solve x + 7 = 4. x + 7 = 4x + 7 = 4 Write original equation. x + 7 – 7 = 4 – 7 Use subtraction property of.
Standardized Test Practice EXAMPLE 4 ANSWER The correct answer is B. DCBA Simplify the expression 4(n + 9) – 3(2 + n). 4(n + 9) – 3(2 + n) = Distributive.
Standardized Test Practice
Standardized Test Practice
EXAMPLE 1 Solving a Real-World Problem Music Club You pay $9.95 to join an Internet music club. You pay $.99 for each song that you download. Your cost.
Write a model using standard form EXAMPLE 6 Online Music You have $30 to spend on downloading songs for your digital music player. Company A charges $.79.
Standardized Test Practice
EXAMPLE 2 Finding a Base Marc received 273, or 35%, of the votes in the student council election. How many students voted in the election? Student Council.
Objective The student will be able to: solve two-step inequalities.
EXAMPLE 1 Use a formula High-speed Train The Acela train travels between Boston and Washington, a distance of 457 miles. The trip takes 6.5 hours. What.
10-4 Solving Inequalities Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.
6.3 Warm Up Warm Up Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation Solve Multi-Step Inequalities.
EXAMPLE 1 Use a formula High-speed Train The Acela train travels between Boston and Washington, a distance of 457 miles. The trip takes 6.5 hours. What.
Use the sign shown. A gas station charges $.10 less per gallon of gasoline if a customer also gets a car wash. What are the possible amounts (in gallons)
EXAMPLE 2 Rationalize denominators of fractions Simplify
EXAMPLE 1 Solve an equation with variables on both sides 7 – 8x = 4x – 17 7 – 8x + 8x = 4x – x 7 = 12x – = 12x Write original equation. Add.
CAR SALES Solve a real-world problem EXAMPLE 3 A car dealership sold 78 new cars and 67 used cars this year. The number of new cars sold by the dealership.
Do Now 12/14/09 Take out HW from Friday. –Text p. 359, #4-14 even even Copy HW in your planner. –Text p. 366, #16-32 even, 36 & 40. Complete the.
Writing and Solving Inequalities How can you represent relationships using inequalities?
Do Now 12/17/10  Copy HW in your planner. Text p. 359, #4-14 even even. Text p. 359, #4-14 even even. Text p. 366, #16-32 even, 36 & 40. Text.
EXAMPLE 4 Solving an Equation with a Fraction Photography You take 16 of the 24 pictures of a roll of film on your first day of vacation. At this rate,
Objective : Solving systems of linear equations by graphing System of linear equation two or more linear equations How do I solve linear systems of equations?
EXAMPLE 4 Solve a multi-step problem Computers You are buying a new computer and find 10 models in a store advertisement. The prices are $890, $750, $650,
Solving Inequalities #35. Vocabulary An inequality is a statement that two quantities are not equal. The quantities are compared by using one of the following.
Solve an absolute value equation EXAMPLE 2 SOLUTION Rewrite the absolute value equation as two equations. Then solve each equation separately. x – 3 =
Writing and Solving a Two-Step Equation EXAMPLE 2 The sum of 4 times a number plus –6 is 14. What is the number? 4 times a number and –6 is 14. Write a.
EXAMPLE 3 Solve an inequality with a variable on one side Fair You have $50 to spend at a county fair. You spend $20 for admission. You want to play a.
Standardized Test Practice EXAMPLE 1. SOLUTION Standardized Test Practice Write and solve a two-step equation to find the number of flamingos. Write a.
Solve an equation using addition EXAMPLE 2 Solve x – 12 = 3. Horizontal format Vertical format x– 12 = 3 Write original equation. x – 12 = 3 Add 12 to.
Solving Systems of Equations Chapter Seven. Definition Any pair of numbers that satisfies both equations is a solution to the system of equations.
Solve an inequality using subtraction EXAMPLE 4 Solve 9  x + 7. Graph your solution. 9  x + 7 Write original inequality. 9 – 7  x + 7 – 7 Subtract 7.
Solve an inequality using multiplication EXAMPLE 2 < 7< 7 x –6 Write original inequality. Multiply each side by –6. Reverse inequality symbol. x > –42.
Use the substitution method
EXAMPLE 4 Using a Verbal Model You pay $20 for a youth center membership. Drum lessons at the center cost $8 each for members and $12 each for nonmembers.
+ Directly Proportional. + Directly proportional: as one amount increases, another amount increases at the same rate. Hence, the straight line when we.
EXAMPLE 4 Solve an equation with an extraneous solution Solve 6 – x = x. 6 – x = x ( 6 – x ) = x – x = x 2 x – 2 = 0 or x + 3 = 0 0 = x + x – 6 2.
LAB: Inequalities with Negative Coefficients p.304 Q U E ST ION: How do you solve an inequality with a negative coefficient?
Chapter Notes: Solving Inequalities Using Addition, Subtraction, Multiplication and Division Goal: You will solve inequalities using addition,
10-4 Solving Inequalities Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.
Algebra 1 Inequality Word Problems One-step Inequalities.
EXAMPLE 2 Rationalize denominators of fractions Simplify
Solve a literal equation
Solve an equation by multiplying by a reciprocal
EXAMPLE 1 Standardized Test Practice.
Solve a quadratic equation
Warm Up Lesson Presentation Lesson Quiz
Solving Inequalities by Multiplying or Dividing
Solve an equation by combining like terms
Objective The student will be able to:
Objective The student will be able to:
Objective The student will be able to:
Standardized Test Practice
Solve an inequality using subtraction
Objective The student will be able to:
MS Algebra A-REI-3 – Ch. 4.1 & 4.2 Properties of Inequality
Objective The student will be able to:
Presentation transcript:

EXAMPLE 4 Standardized Test Practice A student pilot plans to spend 80 hours on flight training to earn a private license. The student has saved $6000 for training. Which inequality can you use to find the possible hourly rates r that the student can afford to pay for training? 80r  6000 A 80r  6000 B 6000r  80 C 6000r  80 D SOLUTION The total cost of training can be at most the amount of money that the student has saved. Write a verbal model for the situation. Then write an inequality.

EXAMPLE 4 Standardized Test Practice 80 r < – 6000 ANSWER The correct answer is B. A D C B

EXAMPLE 5 Solve a real-world problem PILOTING In Example 4, what are the possible hourly rates that the student can afford to pay for training?

Solve a real-world problem EXAMPLE 5 Solve a real-world problem SOLUTION 80 r ≤ 6000 Write inequality. 80r 80 ≤ 6000 Divide each side by 80. r ≤ 75 Simplify. ANSWER The student can afford to pay at most $75 per hour for training.

GUIDED PRACTICE for Examples 4 and 5 8. WHAT IF? In Example 5, suppose the student plans to spend 90 hours on flight training and has saved $6300. Write and solve an inequality to find the possible hourly rates that the student can afford to pay for training. 90r  6300, r  $70/h ANSWER