Possible answer: Add 4.5 to the product of 6 and 0.1. Divide 3.6 by 0.4 and then subtract 0.5. Multiply the sum of 6 and 7 by

Transcription

1 -1 1. Consider the expression 1 - ( + ). a. Which operation is done first, subtraction or addition? addition b. Write the computation in words. Possible answer: Subtract the sum of and from 1.. Consider the expression a. Which operation is done first, addition or multiplication? multiplication b. Write the computation in words. Possible answer: Add. to the product of 6 and 0.1. Write the computation in words.. 1 Subtract t from.. - t Divide.6 b 0. and then subtract (6 + ) Divide b 1. Answers ma var. Multipl the sum of 6 and b. Write an expression for the words. 1. Add 1 and Subtract the product of and 11 from Divide 9 b and then add... Multipl b the sum of and r ( + r) 0-11 UNIT LESSON 1 Read and Write Expressions 1

2 -1 Complete each division. Check our answer. 1. _ 6 R1 1,9. 9 _ R,. _,6 Divide.. 69 _ 1,99. _, _ 66,. _ 1,1 0. _, _, Write an equation to solve the problem. Draw a model if ou need to. Equations ma var.. Jesse drives 6 miles in a golf cart during a round of golf. Paton drives miles. How much farther does Paton drive? 1 miles; - 6 = n 11. Stretch Your Thinking Write the computation in words for an expression that uses all four operations (addition, subtraction, multiplication, and division). Then, write an expression for the words. Possible answer: Subtract 1 from 6. Then multipl b the sum of and. Then divide the product b. (6-1) ( + ) 1 UNIT LESSON 1 Read and Write Expressions

3 - 1. Follow the Order of Operations to simplif ( ) + 1 Step 1 Perform operations inside parentheses. Step Multipl and divide from left to right. Step Add and subtract from left to right Simplif. Follow the Order of Operations ( ) ( + 1 ) ( - 1) (. + 1.) 1. (1 1 - ) 1 1. (6. -.1) ( ) , UNIT LESSON Simplif Expressions 1

4 - Solve _.. _ 1.6. _.6 Write an equation to solve the problem. Draw a model if ou need to. Equations and models ma var.. The students of Turner Middle School are going on a field trip. There are 0 students attending. A bus can hold students. How man buses are needed for the field trip? 1 buses; n = 0. The area of a rectangular court is. square meters, and the length of the court is. meters. What is width of the court? 1.1 meters; n. =. Write the computation in words. Answers ma var Divide b Divide. b 0.6 and then add 0... Stretch Your Thinking Write step-b-step instructions for simplifing the following expression. [60 (11 + )] - [60 1] - = Add 11 and. - = Divide 60 b = Multipl b. = Subtract from UNIT LESSON Simplif Expressions

5 - Evaluate the expression. 1. m 0. for m = x for x = n for n = 0. x 1 1 for x =. (0 + d) for d = 0 6. (x 6) for x = a for a =. (0.1 - t) 0 for t = h 0.0 for h = Max bought a pair of jeans for $ and three T-shirts for t dollars each. a. Write an expression for the total amount Max spent. + t dollars b. If each T-shirt cost $9, how much did Max spend? $9 11. Luke is ears ounger then Zoe. Mischa is half Luke s age. Let z be Zoe s age. a. Write an expression for Luke s age. z - b. Write an expression for Mischa s age. 1 (z - ) or (z - ) c. If Zoe is 16 ears old, how old are Luke and Mischa? Luke: 1 ears old; Mischa: 6 ears old UNIT LESSON Simplif Expressions 1

6 - Solve _ _ 9, _ _ _,00 1, _,0 1,96 Write a word problem for the equation. Draw a model to show the product. Sample context and model is shown.. 1 = x Four-fifths of Baile s class want to pla an instrument in the band. Of those classmates, 1 want to pla a percussion instrument. What fraction of the students in the class want to pla a percussion instrument? Simplif. Follow the Order of Operations (6-1). ( 1 + ) ( ) Stretch Your Thinking Write a two-operation expression that equals 1 when evaluated for x =. Possible answer: 6 (x ) UNIT LESSON Simplif Expressions

7 - 1. a. Write the first five terms of a numerical pattern that begins with and then adds.,,, 11, 1 b. Write an expression for the sixth term of the pattern or + ( ) c. Write the sixth term. 1. a. Write the first five terms of a pattern that begins with, and then adds. 1 0 b. Write the first five terms of a pattern that begins with 0, and then adds c. Circle the corresponding pairs of terms in the patterns. How does the top term compare to the bottom term? The top term is the bottom term divided b. d. How does the bottom term compare to the top term? The bottom term is the top term times. Complete the table and use it for Problems and. Cost of Music Downloads Number of Songs 1 Cost in Dollars $0.99 $1.9 $.9 $.96 $.9. Describe a relationship shared b the corresponding terms. Sample answer: The cost in dollars is the number of songs multiplied b ninet-nine cents.. What would be the cost of downloading 6 songs? $.9 UNIT LESSON Patterns and Relationships 19

8 - Solve. 1. Mann has 0 ounces of butter that he is cutting into 1.-ounce slices. How man slices will he have? slices of butter Show our work.. Trac is running in a.-kilometer race on Saturda. A marathon is approximatel kilometers. How man times as long as Trac s race is a marathon? times Write an equation to solve the problem. Use mental math or estimation to show that our answer is reasonable. Equations and estimates ma var.. Each Saturda morning, Janie works hours and earns $.. How much does Janie earn for each hour she works? Equation: Estimate: $.1;. = n Janie earns about $ per hour because =. Evaluate the expression.. (t ) for t =. m for m = 6. ( + c) for c = p for p = z for z = 0 9. x 0.9 for x =.6. Stretch Your Thinking Create our own numerical pattern. Write the starting number, the rule, and the first terms in the pattern. Then write an expression for the tenth term. Possible answer: ; add ;, 9, 16,, 0; + ( 9) 0 10 UNIT LESSON Patterns and Relationships

9 - Use the coordinate plane below to answer the questions W Z X Y S P R Q x Write an ordered pair to represent the location of each point. (, ) (1, 0) (, ) (0, ) 1. point P. point Q. point R. point S Plot and label a point at each location.. point W at (, 9) 6. point X at (, ). point Y at (9, ) Solve.. Suppose points W, X, and Y represent three vertices of rectangle WXYZ. Where should point Z be plotted? (9, 9) Plot and label point Z. Then use a ruler to draw the rectangle. 9. What ordered pair represents the point at the center of the rectangle? (6, ). Use subtraction to find the lengths of segments WX and XY. Show our work. segment WX: 9 = ; segment XY: 9 - = 6 UNIT LESSON The Coordinate Plane 11

10 - Divide _ _ _ _ _ _ a. Write the first five terms of a numerical pattern that begins with and then adds 6., 11, 1,, 9 b. Write an expression for the sixth term of the pattern or + ( 6) c. Write the sixth term.. Stretch Your Thinking List and graph four ordered pairs that are vertices of a rectangle with a perimeter of 16 units. Possible answer: (, 1), (, ), (9, 1), (9, ) x 1 UNIT LESSON The Coordinate Plane

11 -6 The add table below shows a numerical pattern in the left column and the result of adding in the right column. add (x, ) 0 ( 0, ) 1 ( 1, ) (, ) 6 (, 6 ) (, ) 1. Complete the add table.. Complete the (x, ) table.. Each (x, ) pair of terms represents a point. Graph and connect the points x A freight train is traveling at a constant speed of 0 miles per hour.. Complete the table to show the distance the train will travel in 0, 1,, and hours Time (hr) 0 1 Distance (mi) Write the ordered (x, ) pairs the data represent. Then graph and connect the points and extend the line (, ) (, ) (, ) (, ) 6. How far would ou expect the train to travel in 1 hours? Explain our answer. 0 miles; Sample explanation: The graph passes through the point at ( 1, 0). Distance (mi) Time (hr) x UNIT LESSON 6 Graph Ordered Pairs 1

12 -6 Multipl ,19., ,1,6 Use the coordinate plane below to answer the questions. 9 A 6 D B 1 C x Write an ordered pair to represent the location of each point.. point A 6. point B. point C. point D (0, ) (, ) (, 0) (, ) 9. Stretch Your Thinking Give the ordered pair for a point E so that when the points B, D, E, and C are connected (in that order), a square is formed. Then, find the area of square BDEC. (9, 1); 1 square units 1 UNIT LESSON 6 Graph Ordered Pairs

13 - 1. On the coordinate plane below, plot and label points to design our own constellation. When ou return to class, share our constellation with our class. Constellations and answers will var x. Write the name of our constellation.. Write the order in which our points are to be connected.. Explain how ou can tell that two points will be on the same horizontal line just b looking at their coordinates. The points will have the same -coordinate.. Explain how ou can tell that two points will be on the same vertical line just b looking at their coordinates. The points will have the same x-coordinate. UNIT LESSON Focus on Mathematical Practices 1

14 - Write and solve an equation to solve the problem. 1. A group of classmates visits an amusement park. When the arrive, of the students want to ride the fastest roller coaster first. How man students is this? f = ; 1 students Nicole makes $ per hour working at a dacare center.. Complete the table. Time (hr) 0 1 Earnings ($) Write the ordered (x, ) pairs the data represent. Then graph and connect the points and extend the line. (0, 0), (1, ), (, 16), (, ) Earnings ($) How much mone would Nicole make in 1 hours? Explain our answer. $0.00; Sample explanation: The graph passes through the point at ( 1, 0 ). 0 1 x Time (hr). Stretch Your Thinking Which points listed lie on the line? Which points do not lie on the line? Explain. (0, ) (1, ) (, ), (, 6), (, ) On the line: (0, ) (, ), (, ); Not on the line: (1, ), (, 6). Possible answer: Plot each point on the coordinate plane to see if the point lies on the line x 16 UNIT LESSON Focus on Mathematical Practices