2. Rob is finishing a floor with square tiles. Each tile has an area of 121 cm 2. What is the length of one side of a tile? Show your work.

Transcription

1 MPM 1D Unit : Fractions, Percents, Decimals, Ratios, Powers, Roots and Polynomials Name: Date: Important Notes: 1) Unit Test Thursday April 6, 017 Please let your teacher know asap if you have an IEP and wish to write the test in Resource. ) If you have missed classes and/or require any etra help, here is a written summary of some of the get help options (all of which we have discussed in class): a) come to see your teacher in room 114 at lunch time or make an appointment for before or after school b) free tutoring is offered at OTHS from -5 p.m., room 116 c) Use the free online math tutoring offered from 5:0 9:0 p.m., Sunday Thursday by Ontario Certified teachers through the Ministry of Education and the Independent Learning Centre at You were give a card with directions for sign up. d) sign up for a senior student tutor in Guidance (fee involved) e) ask a peer, a parent, a sibling or a friend familiar with the material to help you. Part A: Representing Shapes with Powers 1. Choose the value from the list that represents the quantity shown in each case. List:,,,,,, 4, 4, 8, 8, 9, 9, 16 a) Volume of the cube: b) Side Length of the square: Area = 9 c) Length of the entire line segment d) Surface area of one square face: Part B: Square Root. Rob is finishing a floor with square tiles. Each tile has an area of 11 cm. What is the length of one side of a tile? Show your work.. Which of the following is true? a) = b) = c) = d) ( )( ) =

2 Part C Powers I) Label the diagram by writing one of the following terms on each blank: base, power, eponent. a) b) II) c) Evaluate each of the following. REMINDER: NO CALCULATOR USE IS PERMITTED HERE. 1) ( ) = ) ( ) = ) ( ) = 4) ( ) = 5) ( ) = 6) ( ) + = 7) 5 ( ) = 8) ( ) 5 + ( ) = 9) ( ) 5 + ( ) = 10) ( ) + ( ) = Part D: Eponent Laws (If you do not remember the Laws Look for them in your notes!) 4. Simplify. a) ( ) 0 b) ( ) 0 c) ( 1) 1 d) ( 1) 1 5. Simplify. a) ( )( ) b) ( )( ) c) ( )( 4 ) 1 d) ( 8 4 ) e) m m 7 f) 6r r 1 5

3 6. Simplify. a) ( 4y z ) b) ( ) 5 0 c) ( 574 ) 6 d) ( y ) ( ) ( y ) 7. Simplify. a) 10 y y 6 b) 8 ( )( ) 5 c) 7 ( y ) d) ( y ) e) 1 y 1 y 9. Simplify and then evaluate for = 1 and y =. Show your work. a) ( y) 4 y b) 6 y 5 y Part E: Polynomials 10. For the following epression, identify the listed items. variable constant coefficient 11. Answer the following questions about this epression: a) How many terms are present? b) Identify the term of the highest degree. c) Identify the degree of the polynomial y 6 1. Write out an eample of each of these: a monomial, a binomial and a polynomial.

4 1. Simplify. a) b) c) d) e) f) g) h) i) j) k) l) We have not yet done any eamples like k and l, but you can try them! Answers: K: L:

5 Part F: Fractions, Percents, Decimals & Ratios 1) Review the handout about percent calculations. REMINDER: CALCULATOR USE IS PERMITTED for the percent section of the numeracy material. A. Fill in the missing values in the table below. The first section is filled in as an eample. Ratios Fraction Decimal Percent 7 : = % 5% = 100 B. Fill in the missing values in the table below. 1) 10% of 4 = ) 150% of = ) 1% of 1 = 4) 0.1% of 47 = 5) What percent of 67 is 1? 6) What percent of 110 is 9? ) Percent Word Problems NOTE: You may use your calculator for the following types of questions. Show your work. Follow the format shown in the sample problem below. Write your final answer in a statement at the end of the calculations. (See sample problem below.) Sample Problem: The ta on nails at the hardware store is 6%. Anna buys 50 nails at a price of $0.0 per nail. Calculate the total cost of the nails. Solution: 50 nails $0.0 per nail = $ % ta on $1.15 = OR 6% ta on $1.15 = = $0.069 = $0.069 Total cost = $ $0.069 = $1.19 The total cost of the nails is about $1..

6 Percent Word Problems for You to Solve (Follow the directions given above.) a) An i-pod is priced at $ Ta is 15% of the ticketed price. Calculate the total price of the i-pod. b) Jon has a board that is 8.5 m long. He cuts off 0% of the board for Megan. Calculate the length of the board Jon has left. c) Noah works part-time selling flowers. He earns $90 per week plus 5% of the value of his weekly sales. This week, Noah earns $118. Calculate the total value of his sales this week. This last problem requires you to solve for a variable. We have not gone over this in class as yet and it will not be on the test this time but give it a go and see if you can work it out. Tetbook Problems: Do p.111 #15 Do p.506 #1- (at the top of that page) Try as many questions as you can on p. 11 and p.1 (They are all good review) Do p.14 #1

7 MPM 1D Unit : Fractions, Percents, Decimals, Ratios, Powers, Roots and Polynomials Name: Date: Important Notes: 1) Unit Test Thursday April 6, 017 Please let your teacher know asap if you have an IEP and wish to write the test in Resource. ) If you have missed classes and/or require any etra help, here is a written summary of some of the get help options (all of which we have discussed in class): a) come to see your teacher in room 114 at lunch time or make an appointment for before or after school b) free tutoring is offered at OTHS from -5 p.m., room 116 c) Use the free online math tutoring offered from 5:0 9:0 p.m., Sunday Thursday by Ontario Certified teachers through the Ministry of Education and the Independent Learning Centre at You were give a card with directions for sign up. d) sign up for a senior student tutor in Guidance (fee involved) e) ask a peer, a parent, a sibling or a friend familiar with the material to help you. Part A: Representing Shapes with Powers 1. Choose the value from the list that represents the quantity shown in each case. List:,,,,,, 4, 4, 8, 8, 9, 9, 16 a) Volume of the cube: b) Side Length of the square: Area = 9 c) Length of the entire line segment d) Surface area of one square face: Part B: Square Root. Rob is finishing a floor with square tiles. Each tile has an area of 11 cm. What is the length of one side of a tile? Show your work.. Which of the following is true? a) = b) = c) = d) ( )( ) =

8 Part C Powers I) Label the diagram by writing one of the following terms on each blank: base, power, eponent. a) b) II) c) Evaluate each of the following. REMINDER: NO CALCULATOR USE IS PERMITTED HERE. 1) ( ) = ) ( ) = ) ( ) = 4) ( ) = 5) ( ) = 6) ( ) + = 7) 5 ( ) = 8) ( ) 5 + ( ) = 9) ( ) 5 + ( ) = 10) ( ) ( ) + = Part D: Eponent Laws (If you do not remember the Laws Look for them in your notes!) 4. Simplify. a) ( ) 0 b) ( ) 0 c) ( 1) 1 d) ( 1) 1 5. Simplify. a) ( )( ) b) ( )( ) c) ( )( 4 ) 1 d) ( 8 4 ) e) m m 7 f) 6r r 1 5

9 6. Simplify. a) ( 4y z ) b) ( ) 5 0 c) ( 574 ) 6 d) ( y ) ( ) ( y ) 7. Simplify. a) 10 y y 6 b) 8 ( )( ) 5 c) 7 ( y ) d) ( y ) e) 1 y 1 y 9. Simplify and then evaluate for = 1 and y =. Show your work. a) ( y) 4 y b) 6 y 5 y Part E: Polynomials 10. For the following epression, identify the listed items. variable constant coefficient 11. Answer the following questions about this epression: a) How many terms are present? b) Identify the term of the highest degree. c) Identify the degree of the polynomial y 6 1. Write out an eample of each of these: a monomial, a binomial and a polynomial.

10 1. Simplify. a) b) c) d) e) f) g) h) i) j) k) l) We have not yet done any eamples like k and l, but you can try them! Answers: K: L:

11 Part F: Fractions, Percents, Decimals & Ratios 1) Review the handout about percent calculations. REMINDER: CALCULATOR USE IS PERMITTED for the percent section of the numeracy material. A. Fill in the missing values in the table below. The first section is filled in as an eample. Ratios Fraction Decimal Percent 7 : = % 5% = 100 B. Fill in the missing values in the table below. 1) 10% of 4 = ) 150% of = ) 1% of 1 = 4) 0.1% of 47 = 5) What percent of 67 is 1? 6) What percent of 110 is 9? ) Percent Word Problems NOTE: You may use your calculator for the following types of questions. Show your work. Follow the format shown in the sample problem below. Write your final answer in a statement at the end of the calculations. (See sample problem below.) Sample Problem: The ta on nails at the hardware store is 6%. Anna buys 50 nails at a price of $0.0 per nail. Calculate the total cost of the nails. Solution: 50 nails $0.0 per nail = $ % ta on $1.15 = OR 6% ta on $1.15 = = $0.069 = $0.069 Total cost = $ $0.069 = $1.19 The total cost of the nails is about $1..

12 Percent Word Problems for You to Solve (Follow the directions given above.) a) An i-pod is priced at $ Ta is 15% of the ticketed price. Calculate the total price of the i-pod. b) Jon has a board that is 8.5 m long. He cuts off 0% of the board for Megan. Calculate the length of the board Jon has left. c) Noah works part-time selling flowers. He earns $90 per week plus 5% of the value of his weekly sales. This week, Noah earns $118. Calculate the total value of his sales this week. This last problem requires you to solve for a variable. We have not gone over this in class as yet and it will not be on the test this time but give it a go and see if you can work it out. Tetbook Problems: Do p.111 #15 Do p.506 #1- (at the top of that page) Try as many questions as you can on p. 11 and p.1 (They are all good review) Do p.14 #1