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MATH DIscovery EDUCATION- Solve Systems of Equations and Inequalities ТЕCHBOOK Name Date Check for Understanding Solve Systems of Equations and Inequalities: Investigation 1 1. Five Star Carz rents cars for $28 plus $0.05 per mile, and GoCars rents cars for $25 plus $0.07 per mile. Write a system of equations that represents the scenario. Then use substitution to create one equation, and use it to determine the number of miles that will make the cost equal at both car rentals. A. System: B. Substitute: C. At what number of miles will the cost the same? 2. Use substitution to create a single equation for each system, and then use the equation to solve the system. Sy= 5x - 3 А. y= 3x – 5 Sx-y%3D6 В. 4x-y%3D3 Equation: Equation: Solution: ( Solution: ( 3. Graph the system and estimate the solution. Then solve for the exact solution. 5x -y=-2 A. Estimated Solution: B. Exact Solution: Explain what the solution to the equation f(x) = g(x) means, both graphically and algebraically.

MATH DIscovery EDUCATION- Solve Systems of Equations and Inequalities ТЕCHBOOK Name Date Check for Understanding Solve Systems of Equations and Inequalities: Investigation 1 1. Five Star Carz rents cars for $28 plus $0.05 per mile, and GoCars rents cars for $25 plus $0.07 per mile. Write a system of equations that represents the scenario. Then use substitution to create one equation, and use it to determine the number of miles that will make the cost equal at both car rentals. A. System: B. Substitute: C. At what number of miles will the cost the same? 2. Use substitution to create a single equation for each system, and then use the equation to solve the system. Sy= 5x - 3 А. y= 3x – 5 Sx-y%3D6 В. 4x-y%3D3 Equation: Equation: Solution: ( Solution: ( 3. Graph the system and estimate the solution. Then solve for the exact solution. 5x -y=-2 A. Estimated Solution: B. Exact Solution: Explain what the solution to the equation f(x) = g(x) means, both graphically and algebraically.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section6.3: Elimination Using Addition And Subtraction
Problem 31PPS
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1, 2) Discovery MATH EDUCATION- Solve Systems of Equations and Inequalities ТЕCHBOOК Name Date Check for Understanding Solve Systems of Equations and Inequalities: Investigation 1 1. Five Star Carz rents cars for $28 plus $0.05 per mile, and GoCars rents cars for $25 plus $0.07 per mile. Write a system of equations that represents the scenario. Then use substitution to create one equation, and use it to determine the number of miles that will make the cost equal at both car rentals. A. System: B. Substitute: C. At what number of miles will the cost the same? 2. Use substitution to create a single equation for each system, and then use the equation to solve the system. (y=5x- 3 A. Sx-y%3D6 y= 3x –5 В. 4x- y= 3 Equation: Equation: Solution: (_ Solution: ( 3. Graph the system and estimate the solution. Then solve for the exact solution. S5x-y3D-2 x-y=-5 A. Estimated Solution: B. Exact Solution: 4. Explain what the solution to the equation f(x) = g(x) means, both graphically and algebraically.
Transcribed Image Text:1, 2) Discovery MATH EDUCATION- Solve Systems of Equations and Inequalities ТЕCHBOOК Name Date Check for Understanding Solve Systems of Equations and Inequalities: Investigation 1 1. Five Star Carz rents cars for $28 plus $0.05 per mile, and GoCars rents cars for $25 plus $0.07 per mile. Write a system of equations that represents the scenario. Then use substitution to create one equation, and use it to determine the number of miles that will make the cost equal at both car rentals. A. System: B. Substitute: C. At what number of miles will the cost the same? 2. Use substitution to create a single equation for each system, and then use the equation to solve the system. (y=5x- 3 A. Sx-y%3D6 y= 3x –5 В. 4x- y= 3 Equation: Equation: Solution: (_ Solution: ( 3. Graph the system and estimate the solution. Then solve for the exact solution. S5x-y3D-2 x-y=-5 A. Estimated Solution: B. Exact Solution: 4. Explain what the solution to the equation f(x) = g(x) means, both graphically and algebraically.
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