The solution to this system is . What is the value of ?
Substitute into the second equation: , so and . Then , and .
Linear systems by substitution (SAT) is a grade 9 math skill aligned to Common Core standard HSA.REI.C.6: solve systems of linear equations exactly and approximately, focusing on pairs of linear equations in two variables. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 10 linear systems by substitution (sat) problems our math games drill.
The solution to this system is . What is the value of ?
Substitute into the second equation: , so and . Then , and .
At a cafe, a cup of coffee costs and a cup of tea costs . A cup of coffee costs more than a cup of tea. One cup of tea and two cups of coffee cost in total. What is the price of one cup of coffee?
The system is and . Substitute: , so , , and .
A rental shop charges per hour to rent a bike and per hour to rent a scooter. The scooter rental costs more per hour than the bike rental. Renting one bike for hours and one scooter for hour costs in total. What is the hourly rate to rent a bike?
The system is and . Substitute: , so and .
A museum sells student tickets for each and adult tickets for each. An adult ticket costs more than a student ticket. One adult ticket and two student tickets cost in total. What is the price of one student ticket?
The system is and . Substitute: , so and .
A parking garage charges for one hour of parking and for a daily pass. A daily pass costs times as much as one hour of parking. Buying one hour of parking and one daily pass costs in total. What is the price of a daily pass?
The system is and . Substitute: , so , , and .
The solution to this system is . What is the value of ?
Substitute into the second equation: , so , , , and .
The solution to this system is . What is the value of ?
Substitute into the second equation: , so , , and .
At a snack bar, a bag of chips costs and a candy bar costs . A candy bar costs twice as much as a bag of chips. Buying bags of chips and candy bars costs in total. What is the price of one candy bar?
The system is and . Substitute: , so , , and .
The free placement test finds your level, then every match serves linear systems by substitution (sat) questions at exactly the right difficulty.