2.3 Start Thinking. 2.3 Warm Up. 2.3 Cumulative Review Warm Up
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1 . Start Thinking Choose an two numbers and compare them with an inequalit smbol ( < or > ). Multipl each number b 1. Is the new inequalit still true? Continue this eercise b dividing the original inequalit b 1. Is this new inequalit still true? Choose another negative number to multipl and divide b, using our original inequalit again. Write a hpothesis to eplain what ou must do to the inequalit smbol when ou multipl or divide b a negative number.. Warm Up Solve the equation. 1. 6g = 18. p 6 =. r = 6 4. = 9. 6 = 8s 6. q = 0. Cumulative Review Warm Up Simplif the epression ( 6)
2 Name Date. Practice A In Eercises 1 6, solve the inequalit. Graph the solution m < < 6t b p In Eercises 1, solve the inequalit. Graph the solution.. j t > k < 6a 11. > h 1. < 1 1. You have $ to bu 6 fishing lures. Write and solve an inequalit that represents the prices ou can pa per fishing lure. In Eercises 14 16, solve the inequalit. Use a graphing calculator to verif our answer g 1. 1m > Describe and correct the error in solving the inequalit. < d The solution is 18. You bike for hours at a speed no faster than 1.6 miles per hour. a. Write and solve an inequalit that represents the possible numbers of miles ou bike. b. The bike portion of an Ironman competition is 11 miles. Your friend sas that if ou continue to bike at this pace, ou will be able to complete the bike portion of the Ironman in less than 6. hours. Is our friend correct? Eplain. Copright Big Ideas Learning, LLC Algebra 1 4
3 Name Date. Practice B In Eercises 1 6, solve the inequalit. Graph the solution b. 14 < t. 1. p > w h In Eercises 1, solve the inequalit. Graph the solution. n. 1 < a > 6u 9. < w 10. > c 1. 1 > a 1. You are taking tickets at a concert. You have determined that ou are taking 16 tickets each minute. Write and solve an inequalit to determine how man minutes it will take for ou to take at least 16 tickets. In Eercises 14 16, solve the inequalit. Use a graphing calculator to verif our answer. 14. t < 1. g v >. 1. You have $80 to bu new carpet for the game room. The dimensions of the game room are 0 feet b 1 feet. Write and solve an inequalit that represents the costs per square foot that ou can pa for the new carpet. Specif the units of measure in each step. 18. You run for hours at a speed no faster than 8. miles per hour. a. Write and solve an inequalit that represents the possible numbers of miles ou run. b. A marathon is approimatel 6. miles. Your friend sas that if ou continue to run at this speed, ou will not be able to complete a marathon in less than 4 hours. Is our friend correct? Eplain. 19. The base of a triangle with a height of units is represented b the formula b = A. The base of the triangle is less than 10 units. Write and solve an inequalit that represents the possible area A of the triangle. 48
4 Name Date. Enrichment and Etension Eplore Absolute Value In Eercises 1, simplif the epression if a =, b = 1, and c =. 1. a + bc. ab c ac. a b c a + b + c 4. a b + b ( b ). c ab b ac bc In Eercises 6 1, determine if the statement is alwas true, sometimes true, or never true. If sometimes true, find the values of and that make the statement true and the values of and that make the statement false. Eplain our reasoning ( + ) = = 9. = 10. = = + + = + 1. ( ) Copright Big Ideas Learning, LLC Algebra 1 49
5 Name Date. Puzzle Time Did You Hear About The Two Punsters Who Told A Lot Of Jokes About Cats? A B C D E F G H I J K L M N Complete each eercise. Find the answer in the answer column. Write the word under the answer in the bo containing the eercise letter. PLAY < 8 KITTEN 11 SAID 4 THAT > 1 YARN > WE'RE < THEY WON'T > 8 TELL Solve the inequalit. A. < 9 B. C. > D E F. 10 > G H. < 6 I. > 9 J. K. > 16 L. 0 8 < 1 < M. You have saved some mone to purchase five different songs to download to our portable music device. Solve an inequalit that represents the prices ou can pa for each song if ou have saved no more than $0. N. You are able to tpe 4 words in one minute. Solve an inequalit that represents the number of minutes that ou will need to tpe an essa that consists of at least 11 words. 48 ANY 1 TREATS 48 EITHER < 48 NOT 1 MORE < ABOUT < WE 84 TWO > 1 AND 0
3.6 Start Thinking. 3.6 Warm Up. 3.6 Cumulative Review Warm Up. = 2. ( q )
.6 Start Thinking Graph the lines = and =. Note the change in slope of the line. Graph the line = 0. What is happening to the line? What would the line look like if the slope was changed to 00? 000? What
5.7 Start Thinking. 5.7 Warm Up. 5.7 Cumulative Review Warm Up
.7 Start Thinking Graph the linear inequalities < + and > 9 on the same coordinate plane. What does the area shaded for both inequalities represent? What does the area shaded for just one of the inequalities
3.1 Start Thinking. 3.1 Warm Up. 3.1 Cumulative Review Warm Up. Consider the equation y = x.
3.1 Start Thinking Consider the equation =. Are there an values of that ou cannot substitute into the equation? If so, what are the? Are there an values of that ou cannot obtain as an answer? If so, what
3.7 Start Thinking. 3.7 Warm Up. 3.7 Cumulative Review Warm Up
.7 Start Thinking Use a graphing calculator to graph the function f ( ) =. Sketch the graph on a coordinate plane. Describe the graph of the function. Now graph the functions g ( ) 5, and h ( ) 5 the same
4.2 Start Thinking. 4.2 Warm Up. 4.2 Cumulative Review Warm Up
. Start Thinking How can ou find a linear equation from a graph for which ou do not know the -intercept? Describe a situation in which ou might know the slope but not the -intercept. Provide a graph of
Maintaining Mathematical Proficiency
Name Date Chapter 5 Maintaining Mathematical Proficienc Graph the equation. 1. + =. = 3 3. 5 + = 10. 3 = 5. 3 = 6. 3 + = 1 Solve the inequalit. Graph the solution. 7. a 3 > 8. c 9. d 5 < 3 10. 8 3r 5 r
7.1 Practice A. w y represents the height of an object t seconds. Name Date
Name Date 7.1 Practice A In Eercises 1 3, find the degree of the monomial. 3 1. 7n. 1 w 5 3 3. 5 In Eercises 4 6, write the polnomial in standard form. Identif the degree and leading coefficient of the
Answers. Chapter Start Thinking Sample answer: y-intercept: 8 5. x x
. ( 7, ) 9. (, 9 ) 0. (, 7). no solution. (, 7). no solution. no solution. ( 7, ). infinitel man solutions 7. (, 7 ). infinitel man solutions 9. (, 9) 70. 9a + a + 7. b b + 9 7. c + 90c + 7. 9d d + 7.
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Name Date. and y = 5.
Name Date Chapter Fair Game Review Evaluate the epression when = and =.... 0 +. 8( ) Evaluate the epression when a = 9 and b =.. ab. a ( b + ) 7. b b 7 8. 7b + ( ab ) 9. You go to the movies with five
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Fair Game Review. Chapter of a mile the next day. How. far will you jog over the next two days? How many servings does the
Name Date Chapter Evaluate the epression.. Fair Game Review 5 +. 3 3 7 3 8 4 3. 4 4. + 5 0 5 6 5. 3 6. 4 6 5 4 6 3 7. 5 8. 3 9 8 4 3 5 9. You plan to jog 3 4 of a mile tomorrow and 7 8 of a mile the net
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Chapter Start Thinking! For use before Activity 6.1. For use before Activity Start Thinking! For use before Lesson
. Enrichment and Etension. a =, b =. a =, b =. a =, b =. a =, b =. a =, b is an number ecept.. a =, b =. a =, b =. a =, b =. Check students work.. Puzzle PAY HIM Etension. Start Thinking! For use before
Fair Game Review. Chapter = How many calculators are sold when the profit is $425? Solve the equation. Check your solution.
Name Date Chapter 4 Fair Game Review Solve the equation. Check our solution.. 8 3 = 3 2. 4a + a = 2 3. 9 = 4( 3k 4) 7k 4. ( m) 2 5 6 2 = 8 5. 5 t + 8t = 3 6. 3 5h 2 h + 4 = 0 2 7. The profit P (in dollars)
Fair Game Review. Chapter 2. and y = 5. Evaluate the expression when x = xy 2. 4x. Evaluate the expression when a = 9 and b = 4.
Name Date Chapter Fair Game Review Evaluate the epression when = and =.... 0 +. 8( ) Evaluate the epression when a = 9 and b =.. ab. a ( b + ) 7. b b 7 8. 7b + ( ab ) 9. You go to the movies with five
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