Question 1
For what value of \(k\) does the following system have infinitely many solutions?
\[\begin{aligned} 3x + 6y &= 15 \\ kx + 2y &= 5 \end{aligned}\]
Hard - Quiz 1
Navigate systems that involve parameters, special cases, and layered word problems where setting up the equations is half the battle.
Question 1 of 5
0 of 5 answered
Score: 0%
🔒
Answer question 1 to unlock
Given the system below, what is the value of \(6x - 2y\)?
\[\begin{aligned} 4x + 3y &= 11 \\ 2x - 5y &= -1 \end{aligned}\]
🔒
Answer question 2 to unlock
An investor divides $8,000 between two accounts. Account A earns 4% annual interest and Account B earns 7% annual interest. If the total interest earned after one year is $410, how much was invested in Account B?
🔒
Answer question 3 to unlock
For what value of \(c\) does the following system have infinitely many solutions?
\[\begin{aligned} 2x - 3y &= 7 \\ 6x - 9y &= c \end{aligned}\]
🔒
Answer question 4 to unlock
Two delivery trucks leave a warehouse at the same time, heading in opposite directions. Truck A drives 10 miles per hour faster than Truck B. After 2 hours, the trucks are 180 miles apart. What is Truck A's speed, in miles per hour?