8 7 = 15 0.24 Karen is working on her math homework. p = 0 and -5 are the solutions because 0 and -5 are greater than -12. The inequality t23 represents the total number of players t allowed on the team. Write an equation for the word sentence 25 is 13 more than a number. 84 is the total amount of grapes 100 Model x + 6 in the left rectangle, and model 8 in the right rectangle. n + 35 = 80 m = 23.2 1 1 The equation 5c = 20 can be used to find the cost c in dollars of each ticket. she can make 12 skirts from 9 yards of fabric. Let y represent Jarons age in years. ______ \(\frac{}{}\) pounds, Explanation: x = 3 Question 4. 100, 17 n = \(\frac{5}{6}\) \(\frac{4}{3}\) _____________. Question 4. Question 6. 11 Question 1. The equation \(\frac{1}{10}\)b = 70 can be used to find out how many books the library has. Type below: Choose the best term from the box to complete the sentence. p = 12 w = \(\frac{3}{4}\) \(\frac{3}{2}\) The equation is 5x = 20 Question 12. 2.60 The variable is not the solution. Type below: Use algebra tiles to model the equation. \(\frac{z}{16}\) = 8 The equation will be 3x = 18 $ _______, Explanation: So, Paige is willing to buy a ticket and popcorn from 1 theatre. Use algebra tiles to model the equation. The variable is __________. _____________, Question 7. are licensed under a, Evaluate, Simplify, and Translate Expressions, Solving Equations Using the Subtraction and Addition Properties of Equality, Prime Factorization and the Least Common Multiple, Solve Equations Using Integers; The Division Property of Equality, Multiply and Divide Mixed Numbers and Complex Fractions, Add and Subtract Fractions with Common Denominators, Add and Subtract Fractions with Different Denominators, Solve Sales Tax, Commission, and Discount Applications, Introduction to the Properties of Real Numbers, Properties of Identity, Inverses, and Zero, Solve Equations Using the Subtraction and Addition Properties of Equality, Solve Equations Using the Division and Multiplication Properties of Equality, Solve Equations with Variables and Constants on Both Sides, Solve Equations with Fraction or Decimal Coefficients, Use Properties of Angles, Triangles, and the Pythagorean Theorem, Use Properties of Rectangles, Triangles, and Trapezoids, Solve Geometry Applications: Circles and Irregular Figures, Solve Geometry Applications: Volume and Surface Area, Use Multiplication Properties of Exponents, Integer Exponents and Scientific Notation, https://openstax.org/books/prealgebra/pages/1-introduction, https://openstax.org/books/prealgebra/pages/chapter-6, Creative Commons Attribution 4.0 International License. 36 Type below: Question 6. \(\frac{3}{5}\) is greater than -1. 25, 17 The equation 7 + x = 10 can be used to find the cost x in dollars of the popcorn. IM K-5 Math is rigorous, problem-based, and fully aligned to the standards, with coherence across grade bands. 5 m = 200 n Question 10. The curriculum facilitates productive struggle for our learners, and teachers have been excited to shift their instruction from being the sage on the stage to the guide on the side., Corrine Williams, secondary math specialist, Evergreen Public Schools, WA. Expert authoring team: Read more about the educators and mathematicians who developed our curricula and professional learning: K-5, 6-8, 9-12. Model x + 4 in the left rectangle, and model 6 in the right rectangle. _______ centimeters. 24 4 = 20, Question 5. _____________, Answer: g = how many grapes each friend will get, Question 4. What is the solution of the equation? The solution is m = 30, Explanation: Substitute the solution a in the inequality. d. 2 = m 15. Write an equation that can be used to find the cost c in dollars of the earrings. 75 = n + 12 The equation that can be used to find the number of pages of articles in the magazine is Ryan solved the equation 10 + y = 17 by drawing a model. x = _______. In earlier grades, students reasoned about multiplication by thinking of the product as the area of a rectangle where the two factors being multiplied are the side lengths of the rectangle. x = 12 7 15 minutes = 15 1/60 = 0.25 = 1/4 \(\frac{w}{7}\) = 0.3 -4 < 1\(\frac{1}{2}\) n + 5 = 15; n = 5 Possible answer: Claire is making 4 placemats. What value should she get as her answer? s = \(\frac{3}{5}\) 14.7 = \(\frac{b}{7}\) 1000 Use algebra tiles to model the equation. 1 15 He wants to use the gift card to buy lunch. The remaining titles will be eight 1 tiles on the right sides. 468, Problem Solving + Applications Page No. p = 3 Explanation: The cost of each ticket is $4. _____________, Question 3. %, Write a math problem for the equation \(\frac{3}{4}\)n = \(\frac{5}{6}\). Explanation: Type below: Find her error. f = 24 x = 12 x = 3 4 = 12 The equation to find out how many checkers Karen has left is c + 7 = 9. , The variable is _____________. The total cost is $7.56. f + 3 = 7 Thus the correct answers are B, C and D. Question 9. Explanation: 1000, 1 100, 90 _____________. A recipe calls for 5 \(\frac{1}{2}\) cups of flour. She bought 9 yards of fabric. Answer: The first day he ran 5 \(\frac{1}{4}\) miles. t = \(\frac{3}{5}\) \(\frac{3}{2}\) Question 5. Semester 1 Statistics Project. Explanation: This represents \(\frac{3}{10}\) of the total amount of rain the city received in July. t < 4 is t is less than 4 which means t is equal to 3, 2, or 1 or 0. Write and solve an equation to find the distance, in feet, that she runs in each lap. 100 The temperature at midnight was 26F. 14 = 14 The variable is __________. 11 Case Problem 1-Ch. Thus 1 is not the solution. 3. _____________, The table shows the height requirements for rides at an amusement park. Thus the scientists remove 216 cubic feet of soil. The solution of the equation a + 56 = 128 is 72. Each group has an equal number of singers. There are 87 children and 39 adults at a show. 1 is greater than -3 45 _____________. 3 + 17 = 21 41% Question 17. _____________, Question 20. 3.18 lb, 4 lb, 3.2 lb, 3.4 lb, 3.15 lb Solve the equation 6p = 18 to find the number of singers in each group. Explanation: 14 fewer than a number is 52. Write an expression that represents the total cost of Franks DVDs. The equation is x + 3 = 15 3.2 c = 32 OpenStax is part of Rice University, which is a 501(c)(3) nonprofit. Jaspar has 7 more checkers left than Karen does. x = 10 7 _____________, Answer: The difference of x and 0.3 is 1.7, Question 5. Model x + 1 in the left rectangle, and model 9 in the right rectangle. Download Go Math Grade 6 Chapter 8 Solution of Equations Answer Key PDF for free and start your practice. Graph the solutions of the inequality c < 12 3 on the number line m = 77 miles A sedan uses 28 miles per gallon on the highway. = 7\(\frac{1}{2}\) < 1\(\frac{1}{2}\). Sitemap. Thus the expression is y 5. 25, 5 Next, write an inequality to describe the number of pups by using the least number of pups on the list. Let, 1. She must have used the division equation to get the solution. 4 \(\frac{1}{2}\) = \(\frac{9}{2}\) p represents the price in dollars of one pound of walnuts. The phrase more than indicates addition operation. Substitute the value of x and y in the equation. Thus the variable is the solution. x = no. 115 14d. Is Gabrielas statement sense or nonsense? Type below: Substitute the value in the given equation The phrase at most refers to less than or equal to. -1 3 The goal of the lesson is for students to practice interpreting and writing recursive definitions of functions while also representing functions in different ways. Write an equation that can be used to find the number of pages of articles in the magazine. . 100 x = \(\frac{12}{30}\) c represents the cost in dollars of the earrings. The t-shirt cost $8.95. n = 3/2 20 To solve the equation by using the model, you need to find the value of one x tile. Type below: The variable is _____________. Type below: n 6 Question 8. IM Math 6.6.8 and OUR Math. He has already scored 18 points. x > 4 Thus the capacity of the tank is 128 pints. x = ________, The equation is x + 6 = 7 4 If 20 students attend the . The given equation is n = 1 \(\frac{5}{16}\) EdReports is an independent nonprofit that reviews K-12 . That dark circle and the arrow to the left indicates that c 25, Question 1. Question 12. The given equation is , If x = 7 The sum of a number and three = n + 3 The variable is _____________. _____________. The equation for the product of 5 and the difference of 12 and 9 The equation is 33 + 20 22. m = 2.9 Write your answer as a mixed number or a whole number, when possible. 5 f = 120 3.18 is less than 3.2 Solutions are updated. Given that w is greater than or equal to 74. The solution to the inequality must be whole numbers less than 3. m represents the number of minutes of reading. The equation 9 d = 5 \(\frac{1}{4}\) can be used to find the distance d in miles Antonio ran the second day. a = _______, Explanation: Write an expression to show how much she will charge for h hours of work. 32 Answer: c = 85 Question 16. Thus the inequality is c 25. Type below: Tell what type of numbers the variable in the inequality can represent. Explanation: \(4 \frac{1}{3}\) increased by a number is [/latex]5 \frac{1}{6}[/latex], Question 9. m = 6 \(\frac{1}{2}\) + 2 \(\frac{3}{4}\) Answer: Use algebra tiles to model the equation. Type below: 25 = \(\frac{a}{5}\) This was \(\frac{3}{7}\) of the total number of miles he drove on Monday. s < 0.43 x = 4 3 l = 5280/6 d + 2\(\frac{2}{5}\) = 8 \(\frac{2}{5}\) So far, she has filled \(\frac{2}{3}\) of her basket, and the blueberries weigh \(\frac{3}{4}\) pound. x + 6 = 35 The variable is _____________. Type below: The phrase warmer than indicates addition operation. The quotient of a number and 20.7 is 9. x = 30 19 Substitute the value in the given equation 35.8 = 35.8 1 foot = 1/3 yards = So, y = 36 x Craig scored p points in a game. Connect Symbols to Words Sonya was born in 1998. \(\frac{1}{3}\)h = 6 Determine whether s = 32 or s = 80 is a solution of the equation, and tell what the solution means. Model x + 1 in the left rectangle, and model 5 in the right rectangle. 150 $ ________, Explanation: Tina bought a t-shirt and sandals. Betty needs \(\frac{3}{4}\) of a yard of fabric to make a skirt. The sum of \(4 \frac{1}{3}\) and q is [/latex]5 \frac{1}{6}[/latex] Question 4. _____________. d. 12 = n 11. $ _____. Match each scenario with the equation that can be used to solve it. f = 8/8 = 1 How many pounds of dog food were originally in the bag? Anne runs 6 laps on a track. 7 The ring costs $90. 14.7 = \(\frac{b}{7}\) a. FAQ OpenStax Press Newsletter Careers Policies Question 3. 1 b = 23.8/3.5 _____________. Sheena received a gift card for $50. Question 5. 8 Problem 4 (from Unit 5, Lesson 17) There are many cylinders with radius 6 meters. x = 50/5 = 4 Explanation: Explanation: Explanation: b = 102.9, Question 10. Write an equation that could be used to find the number of gallons the tank holds. n 1.75 1 \(\frac{2}{3}\) s = \(\frac{3}{5}\), Question 11. 85 Model x + 1 in the left rectangle, and model 8 in the right rectangle. 340 m + \(\frac{3}{10}=\frac{7}{10}\) Question 2. Thus the equation is p + 23 = 42, Question 3. 41%, 11. Let the l represents the runs in each lap. Type below: z 3 The solution is mean. _______ \(\frac{}{}\), Explanation: The equation a + 56 = 128 can be used to find the amount a in dollars that Aaron still needs to save. m = \(\frac{7}{10}\) \(\frac{3}{10}\) 2.5h = 60 18 + 13 = 25 x = 6 32, 1 15 Type below: %, n Practice: Copy and Solve Graph the inequality. = 6 x = 20 gallons 3c = 24, Question 5. b \(\frac{5}{8}\) $ _______. Third Grade ELA Volume 5: Subject Verb Agreement, Plural Nouns, Suffixes and Spelling, Fluency. Type below: Substitute the value in the given equation The variable is not the solution. p = 7 \(\frac{1}{2}\) n = 3 10 If Dawn were 5 years older, she would be Jarons age. Question 2. Let represent the height in meters and represent the volume in cubic meters. Use the table for 1216, Question 12. The equation l 12.5 = 48.6 can be used to find the original length l in centimeters of a wire before it was cut. Type below: Answer: Two possible money amounts that Sheilla could spend on the hat are $15 or $10. x = bank account balance 4.92 b. m 2 = 15 Jaspar has 7 more checkers left than Karen does. 17 Part A The phrase more than indicates addition operation. Explanation: A team of scientists is digging for fossils. 2.60 Question 17. 5x + 8y 36 = 36 -3 is greater than -6 \(p+2 \frac{1}{2}=5\) He made 90 bowls during the week. The expression is c + 7 = 9 So, to get the best way of learning must refer to Go Math 6th grade 8th Chapter Solutions of Equations Answer Key. The phrase quotient indicates the division operation. Write and solve an equation to find the number of pages Naomi will need. s = 1.75 Write an expression in the simplest form that represents the perimeter of the triangle. SAT PREP. Gabriela is solving the equation x + 1 = 6. The solution s is 3. Unit 6, Lesson 2 Practice Problems 1. 16 + n = 39 Determine whether s = 9.3 or s = 10.7 is a solution of the equation, and tell what the solution means. Tony is traveling 560 miles to visit his cousins. Number of calories in 1 ounce of juice = 100/8 c. 25 = n 2 Ana bought a 15.5-pound turkey at the grocery store this month. w = 0.3 7 n 20 = 20 14 = 14 _____________. Roger served \(\frac{5}{8}\) pound of crackers, which was \(\frac{2}{3}\) 1000, 3 Thus the variable is not a solution. Explanation: Type below: n = 1 \(\frac{1}{9}\), Question 1. _____________, Question 11. f = 4 s + 7,500 = 18,000, Question 14. Question 13. 5x = 70 _______ video games. 25 Let n represents the unknown number. 5 5 \(\frac{1}{4}\) Answer: u > \(\frac{-1}{2}\), u = 0 The equation \(\frac{2}{3}\)w = \(\frac{3}{4}\) 8 The lightest puppy in a litter weighs 9 ounces, which is \(\frac{3}{4}\) of the weight of the heaviest puppy. Substitute p = 13 \(\frac{a}{14}\) = 6.8 Answer: Type below: Thus the perimeter of the triangle is 5s + 4, Question 6. The inequality x 2 represents the elevation x of a certain object found at a dig site. x = 3 The equation will be 2p + 5. 35 _______. 1a. Type below: P = a + b + c Type below: _____________, Explanation: Two possible solutions for the inequality are _____ and _____. Type below: Connect Symbols and Words The length of a day on Saturn is 14 hours less than a day on Mars. Answer: Gabrielas statement makes sense. Given the equation is \(\frac{t}{4}\) = 16 n + 12 = 75 Question 9. 25 = 23 2 p = 96/8 Type below: There are five x tiles on the left side of your model. c = 5.2, Question 9. h = 14/3 St. Clair College. -2(-5c) expand the brackets h = 60/2.5 2\(\frac{1}{2}\) < 1\(\frac{1}{2}\) Explanation: 4 Question 9. t 6 How many points did Nelson score? 100 Franks team attempted 23 goals. \(\frac{3}{4}\)n = \(\frac{5}{6}\) Question 16. The equation \(\frac{2}{3}\)w = \(\frac{3}{4}\) can be used to estimate the weight w in pounds of the blueberries when the basket is full. The answers are created by subject matter experts. x = 27/3 Use numbers and words to support your answer Thus 8 number of cartons are needed. The heaviest puppy weighs 12 ounces. The sum of a number and 4.5 is 8.2. 100 There are two x tiles on the left side of your model. Let n represents the unknown number. 414 Use algebra tiles to model the equation. Graph your inequality from Exercise 14. Type below: Question 6. 3 w = 9 4 10 15 The equation 12x = 96 gives the number of egg cartons x needed to package 96 eggs. are not subject to the Creative Commons license and may not be reproduced without the prior and express written y = deposit 1 , The expression equivalent to 5(3x + 2z) is 15x + 10z, Question 5. Question 4. 100 18 + p = 25 Mark all that apply. The equation is p 15.5 = 2.5 Type below: Question 7. The total number of countries competed in total is 36. w = 36/3 An online store sells DVDs for $10 each. Answer: We understand that its challenging for teachers to find resources to support students in building an enduring understanding of mathematics. What is the number? Type below: The solution to the inequality must be whole numbers greater than or equal to 5.8 12x = 96 _____________. c = 430 345 Only the IM Certified Experience helps teachers catalyze mathematical proficiency with an engaging and inclusive approach that lifts students up to the skills, understandings, and practices that will stay with them for a lifetime. 4 15 = 60 How heavy was each part? They understand and use the terms "numerical data," "categorical data," "survey" (as noun and verb), "statistical question," "variability," "distribution," and "frequency." m < 5, where m is the mass in kilograms. IM 6-8 Math, authored by Illustrative Mathematics, is highly rated by EdReports for meeting all expectations across all three review gateways. The given equation is m \(2 \frac{3}{4}=6 \frac{1}{2}\) 11 The given equation is Explanation: p > 12 This is 20% of the price of the lawn mower. x = \(\frac{3}{10}\) \(\frac{4}{3}\) The equation is s + 55 = 55 _____________, Question 4. _____________ The variable is __________. _____________. _____________ 13 Type below: Therefore the total distance of the race is 10 kilometers. Using substitution, Rachel determines there are 24 days left in the marking period. After she deleted some of them, she had 23 photos left. b = \(\frac{2}{3}\) Use a model. The inequality is q 0.6 110 x 7.5 = 22.5 Terrance needs to score 25 points to win a game. _____________, Answer: 4x = 60 Use algebra tiles to model the equation. y = 37 Therefore the variable is not a solution. Explanation: _____________. Thus the variable is a solution. 9 4 = 5 \(\frac{1}{4}\) The equation that can be used to find out how much flour f is needed for one batch of cookies is 3f = 12, Question 1. Solve the equation \(\frac{3}{7}\)m = 33 to find the total number of miles Andy drove on Monday. Spring Final Exam Review. About how much will the blueberries in Crystals basket weigh when it is full? 17 2 = 15 The given equation is 40, 5 All Big Ideas Math Grade K-12 Textbook Answers are designed by highly experienced subject expertise as per the common core 2019 curriculum. When writing a word sentence as an equation, explain when to use a variable. For example, I write 4 < y as y > 4 7 = 7 There are 20 apples in the display. . St. Clair College. In this unit, students learn to understand and use the terms "rate of change," "linear relationship," and "vertical intercept.". Write a word sentence for the inequality. p = 2 \(\frac{1}{2}\) 40/30 = 4/3 He sold 2 of them at a craft fair. Lesson Title Purpose Vocabulary Notes 1 Shapes on a Plane Students develop strategies for determining the area of non-rectangular shapes. Solve the equation 2x = 24 to find the number of days Bryan worked at the library. Explain. Select a Unit. _____________, Answer: Carole ordered 4 dresses for $80 each, a $25 sweater, and a coat. Answer: We need to find Kimberlys balance at the beginning of July. What is the capacity of the tank in pints? _____________, Question 10. EdReports, a highly-regarded independent nonprofit that . _____________. 11 Case Problem 1-Ch. k = 0 and 1 because they are less than 2. Using substitution, the coach determines that Romeo needed to run _____ feet to get to home plate. The greatest weight is 23 pups so all of the weights are less than or equal to 23 pups. 641 n 13 = 2; n = 15 17 p = 7.56/2.4 Explanation: 35 Explanation: Is Edwards statement sense or nonsense? Given, 9 Lesson 24: Solutions to Systems of Linear Inequalities in Two Variables Lesson 25: Solving Problems with Systems of Linear Inequalities in Two Variables. How much does each ticket cost? Course Hero is not sponsored or endorsed by any college or university. Let y represent Jarons age in years. y 5.8 Lesson 3 - Tell me about a different world. 9.9 \(\frac{1}{3}\) = 3.3 hours, Question 15. n 75, 266 This represents \(\frac{3}{10}\) of the total amount of rain the city received in July. w 14.9 = 25.3 Type below: What would the total distance of the race have been? Frank orders d DVDs. Type below: 100 Explanation: _____________, Answer: t = 16 4 3 s = 9 8 y < 7.8, y = 8 The variable is _____________. Type below: x = 6 2 Use mental math to find the solution to 4x = 36. p = 6 pounds Answer: Type below: The given equation is Practice: Copy and Solve Solve the equation, and check the solution. 1 yard = 3 feet = Explanation: Type below: d = 14.7 The original number should be greater than 44.80% is less than 100%, so when 80% is converted to a decimal and multiplied to the base in the percent equation, the resulting amount of 44 is less. Thus the solution is less than 6. Lesson 7 - More Soft Serve - Tell me about a different world. The equation 7 + x = 12 can be used to find the remaining number of birds x that can be placed in the cage. Answer Key Chapter 6 - Prealgebra | OpenStax Uh-oh, there's been a glitch Support Center c87a42b167e14be5a29e169e6f4b018d, 1875745c504b4ab1bcd20eb3bb62effc OpenStax is part of Rice University, which is a 501 (c) (3) nonprofit.