lesson 12 homework answer key grade 8

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Eureka Math Grade 8 Module 4 Lesson 12 Answer Key

Engage ny eureka math 8th grade module 4 lesson 12 answer key, eureka math grade 8 module 4 lesson 12 opening exercise answer key.

Eureka Math Grade 8 Module 4 Lesson 12 Exercise Answer Key

Exploratory Challenge/Exercises

Question 4. Consider the linear equation \(\frac{2}{5}\) x+y=11. a. Will you choose to fix values for x or y? Explain. Answer: If I fix values for x, it will make the computations easier. Solving for y can be done in one step.

b. Are there specific numbers that would make your computational work easier? Explain. Answer: Values for x that are multiples of 5 will make the computations easier. When I multiply \(\frac{2}{5}\) by a multiple of 5, I will get an integer.

Question 5. At the store, you see that you can buy a bag of candy for $2 and a drink for $1. Assume you have a total of $35 to spend. You are feeling generous and want to buy some snacks for you and your friends. a. Write an equation in standard form to represent the number of bags of candy, x, and the number of drinks, y, that you can buy with $35. Answer: 2x+y=35

Eureka Math Grade 8 Module 4 Lesson 12 Exit Ticket Answer Key

Question 1. Is the point (1,3) a solution to the linear equation 5x-9y=32? Explain. Answer: No, (1,3) is not a solution to 5x-9y=32 because 5(1)-9(3)=5-27=-22, and -22≠32.

Eureka Math Grade 8 Module 4 Lesson 12 Problem Set Answer Key

Students practice finding and graphing solutions for linear equations that are in standard form.

Question 1. Consider the linear equation x-\(\frac{3}{2}\) y=-2. a. Will you choose to fix values for x or y? Explain. Answer: If I fix values for y, it will make the computations easier. Solving for x can be done in one step.

b. Are there specific numbers that would make your computational work easier? Explain. Answer: Values for y that are multiples of 2 will make the computations easier. When I multiply \(\frac{3}{2}\) by a multiple of 2, I will get a whole number.

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Math Expressions Grade 5 Unit 8 Lesson 12 Answer Key Relate Length, Area, and Volume

Solve the questions in Math Expressions Grade 5 Homework and Remembering Answer Key Unit 8 Lesson 12 Answer Key Relate Length, Area, and Volume to attempt the exam with higher confidence. https://mathexpressionsanswerkey.com/math-expressions-grade-5-unit-8-lesson-12-answer-key/

Math Expressions Common Core Grade 5 Unit 8 Lesson 12 Answer Key Relate Length, Area, and Volume

Math Expressions Grade 5 Unit 8 Lesson 12 Homework

For each question, write whether you would measure for length, area, or volume.

Lesson 12 Math Expressions Grade 5 Unit 8  Question 1. the amount of space inside a moving van ___________ Answer: the amount of space inside a moving van is Volume.

Lesson 12 Relate Length, Area, and Volume Grade 5 Math Expressions  Question 2. the number of tiles needed to cover a bathroom floor ____________ Answer: the number of tiles needed to cover a bathroom floor is area.

Math Expressions Grade 5 Unit 8 Lesson 12 Answer Key Relate Length, Area, and Volume Question 3. the distance from a porch to a tree __________ Answer: the distance from a porch to a tree length.

Question 4. the amount of water a tank holds ____________ Answer: the amount of water a tank holds Volume,

Question 5. the height of a flagpole _________ Answer: the height of a flagpole length.

Question 6. A box is 5 inches long, 4 inches wide, and 1 inch deep. How much space is inside the box? Answer: The space inside the box is 20 cubic in.

Explanation: Given that a box is 5 inches long, 4 inches wide, and 1 inch deep, so the space inside the box is 5 × 4 × 1 which is 20 cubic in.

Question 7. Aponi built a toy chest for her niece. It has a volume of 12 cubic feet. The chest is 3 feet long and 2 feet wide. How deep is it? Answer: The depth of the chest is 2 ft.

Explanation: Given that Aponi built a toy chest for her niece. It has a volume of 12 cubic feet. The chest is 3 feet long and 2 feet wide. So the depth of the toy chest is, let the depth be h 12 = 3 × 2 × h 12 = 6 × h h = 12 ÷ 6 = 2 ft.

Question 8. The rug in Alan’s room has an area of 18 square feet. He is planning to buy another rug that is twice as long and twice as wide. What is the area of the new rug? Answer: The area of the new rug is 72 square feet.

Explanation: Given that the rug in Alan’s room has an area of 18 square feet, so the possible length and the wide of the rug will be 3 ft long and 6 ft wide. And he is planning to buy another rug that is twice as long and twice as wide, so the length will be 6 ft long and the wide will be 12 ft. So the area of the new rug will be 6 × 12 which is 72 square feet.

Question 9. Each drawer in Monique’s nightstand has a volume of 6 cubic decimeters. Each drawer in her dresser is twice as long, twice as wide, and twice as deep. What is the volume of one of Monique’s dresser drawers? Answer:

Explanation: In the above figure, Fong has 6 × 5 × 3 which has 90 cubes and Daphne has 5 × 4 × 4 which has 80 cubes. So Fong used more 90 – 80 which is 10 cubes more.

Math Expressions Grade 5 Unit 8 Lesson 12 Remembering

Explanation: The multiplication of 3.8 and 5.4 is 20.52

Explanation: The multiplication of 0.30 and 6.7 is 2.01.

Explanation: The multiplication of 3.3 and 0.78 is 2.574.

Explanation: The multiplication of 0.04 and 7.3 is 0.292.

Explanation: The multiplication of 0.6 and 5.14 is 3.054.

Explanation: The multiplication of 8.3 and  2.8 is 23.24.

Find the unknown dimension or volume of each rectangular prism.

Question 7. V = ________ l = 7cm w = 4cm h = 9cm Answer: The volume of the rectangular prism is 252 cubic cm.

Explanation: Given that the length is 7 cm, width is 4 cm and the height of the 9 cm of the rectangular prism. So the volume of the rectangular prism is = l × w × h = 7 × 4 × 9 = 252 cubic cm.

Question 8. V = 200 cu yd l = ________ w = 5yd h = 5yd Answer: The length of the rectangular prism is 8 yd.

Explanation: Given that the width is 5 yd and the height of the 5 yd of the rectangular prism and the volume of the rectangular prism is 200 cu yd. Let the length be l, so the length is V = l × w × h 200 = l × 5 × 5 200 = l × 25 l = 200 ÷ 25 = 8 yd.

Question 9. V = 160 cu in. l = 10 in. w = _______ h = 4in. Answer: The width of the rectangular prism is 40 in.

Explanation: Given that the length is 10 in and the height of the 4 in of the rectangular prism and the volume of the rectangular prism is 160 cu in. Let the width be w, so the width is V = l × w × h 160 = 10 × w × 4 160 = 40 × w w = 160 ÷ 40 = 40 in.

Question 10. V = ________ l = 10 cm w = 8 cm h = 6 cm Answer: The volume of the rectangular prism is 252 cubic cm.

Explanation: Given that the length is 7 cm, width is 4 cm and the height of the 9 cm of the rectangular prism. So the volume of the rectangular prism is V = l × w × h = 7 × 4 × 9 = 252 cubic cm.

Question 11. V = 297 cu m l = _______ w = 9 m h = 3 m Answer: The length of the rectangular prism is 11 m.

Explanation: Given that the width is 9 m and the height of the 3 m of the rectangular prism and the volume of the rectangular prism is 297 cu m. Let the length be l, so the length is V = l × w × h 297 = l × 9 × 3 297 = l × 27 l = 297 ÷ 27 = 11 m.

Question 12. V = 126 cu in. l = 9 in. w = _______ h = 7 in. Answer: The width of the rectangular prism is 2 in.

Explanation: Given that the length is 9 in and the height of the 7 in of the rectangular prism and the volume of the rectangular prism is 126 cu in. Let the width be w, so the width is V = l × w × h 126 = 9 × w × 7 126 = 63 × w w = 126 ÷ 63 = 2 in.

Question 13. Stretch Your Thinking Give one real world example for measuring each of the following: perimeter, area, volume. Answer: Here, the amount of fencing to go around play area and the amount of wood flooring to buy to cover the living room and the amount of water to put into a fish tank are the real-world example for measuring.

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