Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–7) Then/Now New Vocabulary Example 1:Solve for a Specific Variable Example 2: Solve for a.

Slides:

Advertisements

Similar presentations

Over Lesson 7–6 A.A B.B C.C D.D 5-Minute Check 4 A.10.7% increase B.10.6% increase C.10.5% increase D.10.2% increase Myra bought a new car. Her monthly.

Advertisements

Over Lesson 7–5 A.A B.B C.C D.D 5-Minute Check 6 A.9.4% B.1.06% C.5.7% D.6% Taneesha bought a laptop for $ including tax. The laptop had a price.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–1) Then/Now New Vocabulary Key Concept: Addition Property of Equality Example 1: Solve by.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–1) CCSS Then/Now New Vocabulary Key Concept: Addition Property of Equality Example 1: Solve.

Lesson 5 Menu Five-Minute Check (over Lesson 9-4) Main Ideas and Vocabulary Targeted TEKS Key Concept: Exponential Function Example 1: Graph an Exponential.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–7) CCSS Then/Now New Vocabulary Example 1:Solve for a Specific Variable Example 2: Solve for.

5-3 Dimensional Analysis Warm Up Problem of the Day

Splash Screen. Over Lesson 7–6 5-Minute Check 1 TAXES Martina bought a new pair of shoes. Her receipt is shown below. She wants to know the sales tax.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–6) CCSS Then/Now New Vocabulary Example 1:Percent of Change Example 2:Real-World Example:

Then/Now You solved proportions. (Lesson 2–6) Find the percent of change. Solve problems involving percent of change.

Lesson 7 MI/Vocab percent of change percent of increase percent of decrease Find percents of increase and decrease. Solve problems involving percents of.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–6) Then/Now New Vocabulary Example 1:Percent of Change Example 2:Real-World Example: Percent.

Over Lesson 2–7. Splash Screen Lesson 2-8 Then/Now You solved equations with variables on each side. Solve equations for given variables. Use formulas.

Bell Work Complete on the back of assignment and turn assignment and bell work into tray. State whether each percent of change is a percent of increase.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–6) CCSS Then/Now New Vocabulary Example 1:Percent of Change Example 2:Real-World Example:

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 6–4) CCSS Then/Now New Vocabulary Key Concept: Product Property of Radicals Example 1: Simplify.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–8) CCSS Then/Now New Vocabulary Example 1:Real-World Example: Mixture Problem Example 2:Real-World.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 8–4) Then/Now Key Concept: Product Property of Logarithms Example 1:Use the Product Property.

Over Lesson 10–1 A.A B.B C.C D.D 5-Minute Check 4 The area of a square is 200 cm 2. Estimate the length of a side of the square.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–7) CCSS Then/Now New Vocabulary Example 1:Solve for a Specific Variable Example 2: Solve for.

Example 1 Solve for a Specific Variable Solve 5b + 12c = 9 for b. 5b + 12c = 9Original equation 5b + 12c – 12c = 9 – 12cSubtract 12c from each side. 5b.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 10–6) Then/Now Example 1: Linear-Quadratic System Example 2: Quadratic-Quadratic System Example.

Over Lesson 7–2 A.A B.B C.C D.D 5-Minute Check 6 On her last math test, Nina answered 17 out of 20 questions correctly. Which fraction could not be the.

5-4 Direct Variation Warm Up 1. Regina walked 9 miles in 3 hours. How many miles did she walk per hour? 2. To make 3 bowls of trail mix, Sandra needs 15.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–8) CCSS Then/Now New Vocabulary Example 1:Real-World Example: Mixture Problem Example 2:Real-World.

Vocabulary literal equation – another name for a formula dimensional analysis – the process of carrying units throughout a computation unit analysis –

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 8–3) Then/Now New Vocabulary Example 1: Solve a Logarithmic Equation Key Concept: Property of.

Lesson 3-8 Solving Equations and Formulas. Objectives Solve equations for given variables Use formulas to solve real-world problems.

Over Lesson 6–1 A.A B.B C.C D.D 5-Minute Check 1 Express the ratio as a fraction in simplest form. 10 tulips to 18 daffodils Express the ratio as a fraction.

Math Pacing Solving Equations and Formulas. Some equations such as the one on the previous slide contain more than one variable. At times, you will.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 3–2) Then/Now New Vocabulary Key Concept:Slope of a Line Example 1:Find the Slope of a Line.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 7–6) Then/Now New Vocabulary Key Concept: Solving Radical Equations Example 1:Solve Radical.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 1–4) Then/Now New Vocabulary Example 1:Use a Replacement Set Example 2:Standardized Test Example.

2.8 Literal Equations Algebra AB. Content Standards A.CED.4 Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 7–5) Then/Now New Vocabulary Key Concept: Percent of Change Example 1: Find the Percent of Change.

Splash Screen. Then/Now You have already solved real-world problems using the percent equations. (Lesson 7–5) Find percent of increase and decrease. Solve.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–2) Then/Now New Vocabulary Example 1:Constant Rate of Change Example 2:Real-World Example:

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–2) Then/Now New Vocabulary Example 1:Solve Multi-Step Equations Example 2:Real-World Example:

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–3) Then/Now New Vocabulary Key Concept:Slope-Intercept Form Example 1:Write an Equation in.

Over Lesson 5–1 A.A B.B C.C D.D 5-Minute Check 1 A.P = 14 m; A = 10 m 2 B.P = 10 m; A = 14 m 2 C.P = 14 m; A = 14 m 2 D.P = 10 m; A = 10 m 2 Find the perimeter.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 10–4) CCSS Then/Now New Vocabulary Key Concept: The Pythagorean Theorem Example 1:Find the Length.

Splash Screen. Then/Now You solved equations with variables on each side. Solve equations for given variables. Use formulas to solve real-world problems.

Splash Screen. Lesson Menu Five-Minute Check Then/Now New Vocabulary Key Concept: Order of Operations Example 1:Evaluate Algebraic Expressions Example.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 14–4) Then/Now New Vocabulary Example 1:Solve Equations for a Given Interval Example 2:Infinitely.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 1–4) Then/Now New Vocabulary Key Concept: Addition / Subtraction Property of Inequality Example.

Literal Equations and Dimensional Analysis

Splash Screen. Then/Now You solved proportions. Find the percent of change. Solve problems involving percent of change.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–6) CCSS Then/Now New Vocabulary Example 1:Percent of Change Example 2:Real-World Example:

Splash Screen. Then/Now You graphed points on the coordinate plane. (Lesson 0–2) Find the distance between two points. Find the midpoint of a segment.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–6) CCSS Then/Now New Vocabulary Example 1:Percent of Change Example 2:Real-World Example:

Splash Screen. Lesson Menu Five-Minute Check (over Chapter 1) Then/Now New Vocabulary Key Concept: Functions Example 1:Domain and Range Key Concept: Vertical.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–1) CCSS Then/Now New Vocabulary Key Concept: Addition Property of Equality Example 1: Solve.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 9–5) Then/Now New Vocabulary Example 1:Solve a Rational Equation Example 2:Solve a Rational.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–6) CCSS Then/Now New Vocabulary Example 1:Percent of Change Example 2:Real-World Example:

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 1–3) Then/Now New Vocabulary Key Concept: Absolute Value Example 1:Evaluate an Expression with.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–7) CCSS Then/Now New Vocabulary Example 1:Solve for a Specific Variable Example 2: Solve for.

Splash Screen. Then/Now You solved quadratic equations by using the Square Root Property. Solve problems by using the Pythagorean Theorem. Determine whether.

1. Determine what answer will look like 2. Eliminate Grouping Symbols (Distribute) 3. Eliminate Fractions, if any 4. Add or subtract to isolate variable.

Literal Equations (2-8) Objective: Solve equations for given variables. Use formulas to solve real-world problems.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Translate Sentences into Equations

Literal Equations and Dimensional Analysis

2-8 Solving for a Specific Variable

Presentation transcript:

Splash Screen

Lesson Menu Five-Minute Check (over Lesson 2–7) Then/Now New Vocabulary Example 1:Solve for a Specific Variable Example 2: Solve for a Specific Variable Example 3:Real-World Example: Use Literal Equations Example 4:Use Dimensional Analysis

Over Lesson 2–7 A.A B.B C.C D.D 5-Minute Check 1 A.increase; 22% B.increase; 14% C.decrease; 14% D.decrease; 22% State whether the percent of change is a percent of increase or a percent of decrease. Then find the percent of change. Round to the nearest whole percent. original: 84 new: 96

Over Lesson 2–7 A.A B.B C.C D.D 5-Minute Check 2 A.increase; 5% B.decrease; 50% C.decrease; 58% D.decrease; 62% State whether the percent of change is a percent of increase or a percent of decrease. Then find the percent of change. Round to the nearest whole percent. original: 47 new: 18

Over Lesson 2–7 A.A B.B C.C D.D 5-Minute Check 3 A.$78.60 B.$75.65 C.$74.00 D.$67.53 What is the discounted price of a tent with a price of $89 and a discount of 15%?

Over Lesson 2–7 A.A B.B C.C D.D 5-Minute Check 4 A.$62.44 B.$68.00 C.$74.41 D.$76.32 What is the final price of a pair of hiking boots with a price of $78, a discount of 10%, and a tax of 6%?

Over Lesson 2–7 A.A B.B C.C D.D 5-Minute Check 5 A.5% increase B.7% increase C.12% increase D.5% decrease On July 1, a stock sold for $46 per share, and on August 1, it sold for $48.30 per share. What was the percent of change in the price of the stock?

Over Lesson 2–7 A.A B.B C.C D.D 5-Minute Check 6 A.32% decrease B.36% increase C.39% decrease D.40% increase Olivia’s cell phone bill last month was $125. This month her bill is $85. What is the percent of change?

Then/Now You solved equations with variables on each side. (Lesson 2–4) Solve equations for given variables. Use formulas to solve real-world problems.

Vocabulary literal equation dimensional analysis unit analysis

Example 1 Solve for a Specific Variable Solve 5b + 12c = 9 for b. 5b + 12c = 9Original equation 5b + 12c – 12c = 9 – 12cSubtract 12c from each side. 5b = 9 – 12cSimplify. Divide each side by 5. Simplify.

Example 1 Solve for a Specific Variable

A.A B.B C.C D.D Example 1 Solve 2x – 17y = 13 for y. A. B. C. D.2x + 4

Example 2 Solve for a Specific Variable Solve 7x – 2z = 4 – xy for x. 7x – 2z = 4 – xyOriginal equation 7x – 2z + xy = 4 – xy + xyAdd xy to each side. 7x – 2z + xy = 4Simplify. 7x – 2z + xy +2z = 4 + 2zAdd 2z to each side. 7x + xy = 4 + 2zSimplify. x(7 + y) = 4 + 2zUse the Distributive Property.

Example 2 Solve for a Specific Variable Divide each side by 7 + y.

A.A B.B C.C D.D Example 2 Solve 12a + 3c = 2ab + 6 for a. A. B. C. D. ; b ≠ 6 ; b ≠ –6 ; b ≠ 6

Example 3A Use Literal Equations Answer: m = Eg Simplify. A. FUEL ECONOMY A car’s fuel economy E (miles per gallon) is given by the formula, where m is the number of miles driven and g is the number of gallons of fuel used. Solve the formula for m. Formula for fuel economy Multiply each side by g.

Example 3B B. FUEL ECONOMY If Quanah’s car has an average fuel consumption of 30 miles per gallon and she used 9.5 gallons, how far did she drive? Eg = mFormula for how many miles driven 30(9.5) = mE = 30 mpg and g = 9.5 gallons 285 = m Multiply. Answer: She drove 285 miles. Use Literal Equations

A. g = mE B. m = gE C.D. A.A B.B C.C D.D Example 3A A. FUEL ECONOMY A car’s fuel economy E (miles per gallon) is given by the formula, where m is the number of miles driven and g is the number of gallons of fuel used. Solve the formula for g.

A.A B.B C.C D.D Example 3B A.19 gallons B.1477 gallons C gallons D.80 gallons B. If Quanah drove 1477 miles and her pickup has an average fuel consumption of 19 miles per gallon, how many gallons of fuel did she use?

Example 4 Use Dimensional Analysis CHIMPANZEES The average weight of the chimpanzees at a zoo is 52 kilograms. If 1 gram ≈ ounce, use dimensional analysis to find the average weight of the chimpanzees in pounds. (Hint: 1 lb = 16 oz) weight of chimpanzee kilograms to grams grams to ounces ounces to pounds 52 kg × × ×

52 kg × × ×= Example 4 Use Dimensional Analysis Notice how the units cancel leaving the unit to which you are converting. Answer: The average weight of a chimpanzee is about 115 pounds.

A.A B.B C.C D.D Example 4 A.about 4.35 mi B.about 7 mi C.about 7.7 mi D.about 8 mi CHARITY Janet is walking 20 laps of a track in a relay to raise money for cancer research. If each lap is 350 meters, how many miles will Janet walk? (Hint: 1 meter = yards and 1 mile = 1760 yards)

End of the Lesson