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Solving Systems of Linear Equations Answer Key and start practicing offline. There is no payment required to get Go Math Grade 8 Answer Key. Sometimes it’s really a difficult task to choose the best maths to answer key to know the correct answers. A trustable guide will help you to learn perfectly and to improve your math skills. One of such best online guide is Go Math Grade 8
Answer Key Chapter 8 Solving Systems of Linear Equations. Refer to Go Math Grade 8 Solution Key to learning the easy way of maths practice. Lesson 1: Solving Systems of Linear Equations by Graphing Lesson 2: Solving Systems by Substitution Lesson 3: Solving Systems by Elimination Lesson 4: Solving Systems by Elimination with Multiplication Lesson 5: Solving Solving Special Systems Model Quiz Review
Solve each system by graphing. Question 1. Answer: Explanation: Question 2. Type below: ______________ Answer: Infinitely many solutions Explanation: Question 3. Type below: ______________ Answer: Explanation: Question 3. Answer: Explanation: Question 3. Answer: Question 3. Answer: ESSENTIAL QUESTION CHECK-IN Question 4. Answer: Solving Systems of Linear Equations by Graphing – Page No. 233Question 5. Answer: Explanation: Question 6. Answer: Explanation: Question 6. Type below: ______________ Answer: Explanation: Question 7. a. Write a system of equations, with one equation describing the cost to bowl at Bowl-o-Rama and the other describing the cost to bowl at Bowling Pinz. For each equation, let x represent the number of games played and let y represent the total cost. Type below: ______________ Answer: Explanation: Question 7. Type below: ______________ Answer: Explanation: Solving Systems of Linear Equations by Graphing – Page No. 234Question 8. Answer: Explanation: The solution of the system of linear equation is (4, 11) which means that after 4 weeks Jeremy and Tony will be running the same distance and that distance would be 11 miles. Question 9. Answer: FOCUS ON HIGHER ORDER THINKING Question 10. a. In how many months will the total cost of both options be the same? What will that cost be? ________ months $ ________ Answer: Explanation: Question 10. Answer: Question 11. Answer: Guided Practice – Solving Systems by Substitution – Page No. 240Solve each system of linear equations by substitution. Question 1. Answer: Explanation: Question 2. Answer: Explanation: Question 3. Answer: Explanation: Question 4. Answer: Explanation: Solve each system. Estimate the solution first. Question
5. Answer: Explanation: x = 4y + 19 6(4y + 19) + y = 4 24y + 114 + y = 4 25y + 114 = 4 25y = 4 – 114 25y = -110 y = -110/25 y = -4.4 x + 4(-4.4) = 19 x + 17.6 = 19 x = 19 – 17.6 x = 1.4 The solution is (1.4, -4.4) Question 6. Answer: Explanation: x = -2y + 8 Substitute the equation x = -2y + 8 in 3x + 2y = 6 3(-2y + 8) + 2y = 6 -6y + 24 + 2y = 6 -4y = 6 – 24 -4y = -18 y = -18/-4 y = 4.5 x + 2(4.5) = 8 x + 9 = 8 x = 8 – 9 x = -1 The solution is (-1, 4.5) Question 7. Answer: Explanation: y = -3x + 4 Substitute y = -3x + 4 in 5x – y = 22 5x – (-3x + 4) = 22 5x + 3x -4 = 22 8x = 26 x = 26/8 x = 3.25 3(3.25) + y = 4 9.75 + y = 4 y = 4 – 9.75 y = -5.75 The solution is (3.25, -5.75) Question 8. Answer: Explanation: y = -x -1 Substitute y = -x – 1 in 2x + 7y = 2 2x + 7(-x – 1) = 2 2x – 7x -7 = 2 -5x = 2 + 7 -5x = 9 x = -9/5 x = -1.8 -1.8 + y = -1 y = -1 + 1.8 y = 0.8 The solution is (-1.8, 0.8) Question 9. Answer: Explanation: Question 9. Answer: Explanation: ESSENTIAL QUESTION CHECK-IN Question 10. Answer: 8.2 Independent Practice – Solving Systems by Substitution – Page No. 241Question 11. Type below: ______________ Answer: Explanation: Represent Real-World Problems Angelo bought apples and bananas at the fruit stand. He bought 20 pieces of fruit and spent $11.50. Apples cost $0.50 and bananas cost $0.75 each. Type below: ______________ Answer: Explanation: Question 12. Answer: Explanation: Question 13. Answer: Explanation: Question 14. Type below: ______________ Answer: Explanation: Question 14. Answer: Explanation: Question 14. Answer: Explanation: Question 14. Answer: Explanation: Solving Systems by Substitution – Page No. 242Question 15. Type below: ______________ Answer: Explanation: FOCUS ON HIGHER ORDER THINKING Question 16. Answer: Explanation: Question 17. Answer: Question 18. Answer: Guided Practice – Solving Systems by Elimination – Page No. 248Question 1. Type below: ______________ Answer: Solve each system of equations by adding or subtracting. Question 2. Answer: Explanation: Question 3. Answer: Explanation: Question 4. Answer: Explanation: Question 5. Answer: Explanation: Question 6. Answer: Explanation: Question 7. Answer: Explanation: Question
8. Answer: Question 8. Answer: Explanation: ESSENTIAL QUESTION CHECK-IN Question 9. Answer: 8.3 Independent Practice – Solving Systems by Elimination – Page No. 249Question 10. Guppy: $ ________ Platy: $ ________ Answer: Explanation: Question 11. Answer: Explanation: Question 12. Answer: Explanation: Question 13. Answer: Explanation: Question 14. Answer: Question 15. ________ adult tickets ________ student tickets Answer: Explanation: FOCUS ON HIGHER ORDER THINKING – Solving Systems by Elimination – Page No. 250Question 16. Answer: Question 17. Answer: Question 17. Answer: Explanation: Guided Practice – Solving Systems by Elimination with Multiplication – Page No. 256Question 1. Type below: ______________ Answer: Solve each system of equations by multiplying first. Question 2. Answer: Explanation: Question 3. Answer: Explanation: Question 4. Answer: Explanation: Question 5. Answer: Explanation: Question 6. Answer: Explanation: Question 7. Answer: Explanation: Question 8. Answer: Explanation: Question 8. Answer: Explanation: ESSENTIAL QUESTION CHECK-IN Question 9. Answer: Solving Systems by Elimination with Multiplication – Page No. 257Question 10. Answer: Question 11. Type below: ____________ Answer: Question 11. Answer: Question 11. Answer: Question 11. Answer: Explanation: Question 12. Answer: Explanation: Solving Systems by Elimination with Multiplication – Page No. 258Question 13. _______ pies _______ jars of applesauce Answer: Explanation: FOCUS ON HIGHER ORDER THINKING Question 14. Answer: Question 15. Answer: Question 15. Answer: Explanation: Question 15. Answer: Explanation: Guided Practice – Solving Solving Special Systems – Page No. 262Use the graph to solve each system of linear equations Question 1. System A: The graphs __________ System B: The graphs __________ System C: The graphs __________ Answer: Explanation: Question 1. Answer: Explanation: Question 1. Answer: Explanation: Solve each system. Tell how many solutions each system has. Question 2. Answer: Explanation: Question 3. Answer: Explanation: Question 4. Answer: Explanation: ESSENTIAL QUESTION CHECK-IN Question 5. Answer: 8.5 Independent Practice – Solving Solving Special Systems – Page No. 263Solve each system by graphing. Check your answer algebraically. Question 6. Solution: ______________ ___________ Answer: To eliminate y terms, multiply the 2nd equation by 2 2(x – 3y = 3) 2x – 6y = 6 Add the equations -2x + 6y = 12 2x – 6y = 6 x and y is eliminated as it has reversed coefficients. -2x + 6y + 2x – 6y = 12 + 6 0 = 18 The statement is false, hence the system has no solution. Question 7. Solution: ______________ ___________ Answer: Infinitely many solutions as equations are overlapping To eliminate y terms, multiply the 2nd equation by 5 5(3x + y = 1) 15x + 5y = 5 Subtarct the equations 15x + 5y = 5 -(15x + 5y = 5) x and y is eliminated as it has reversed coefficients. 15x + 5y -15x – 5y = 5 – 5 0 = 0 The statement is true, hence the system has infinitely many solutions. For Exs. 8– 14, state the number of solutions for each system of linear equations Question 8. Answer: Explanation: Question 9. Answer: Explanation: Question 10. Answer: Explanation: Question 11. Answer: Explanation: Question 12. Answer: Explanation: Question 13. Answer: Explanation: Question 14. ___________ Answer: Explanation: Question 15. Answer: No; although the lines do not intersect on the graph, they intersect at a point that is not on the graph. To prove that a system has no solution, you must do so algebraically Solving Solving Special Systems – Page No. 264Question 16. ___________ Answer: Question 17. Answer: FOCUS ON HIGHER ORDER THINKING Question 18. Answer: Question 19. Answer: Question 20. Answer: Ready to Go On? – Model Quiz – Page No. 2658.1 Solving Systems of Linear Equations by Graphing Solve each system by graphing. Question 1. (________ , ________) Answer: Explanation: The solution of the system is the point of intersection The solution is (2, 1) Question 2. (________ , ________) Answer: Explanation: The solution of the system is the point of intersection The solution is (-1, 1) 8.2 Solving Systems by Substitution Solve each system of equations by substitution. Question 3. Answer: Explanation: Question 4. Answer: Explanation: 8.3 Solving Systems by Elimination Solve each system of equations by adding or subtracting. Question 5. Answer: Explanation: Question 6. Answer: Explanation: 8.4 Solving Systems by Elimination with Multiplication Solve each system of equations by multiplying first. Question 7. Answer: Explanation: Question 8. Answer: Explanation: 8.5 Solving Special Systems Solve each system. Tell how many solutions each system has. Question 9. Answer: Explanation: Question 10. Answer: Explanation: ESSENTIAL QUESTION Question 11. Answer: Selected Response – Mixed Review – Page No. 266Question 1. Options: A. y = −2x + 2 B. y = −x + 2 C. y = 2x + 2 D. y = 2x + 1 Answer: Explanation: Question 2. Answer: Explanation: Question 3. Answer: Explanation: Question 4. Answer: Explanation: Question 5. Answer: Explanation: Question 6. Options: A. -1 B. -2 C. (-1, -2) D. (-2, -1) Answer: Explanation: Question 7. Answer: Explanation: Mini-Task Question 8. Answer: Question 8. Answer: Conclusion:Go Math Grade 8 Answer Key Chapter 8 Solving Systems of Linear Equations PDF for all the students who want to learn maths. See the Grade 8 Chapter 8 questions along with answers and explanations. Immediately start your practice now. |