Slope
What is the slope of a line that passes through the origin (0,0) and (1,3)
3
What is the equation of a line that passes through the origin (0,0) and (1,2)?
y = 2x
How many solutions does the following system of equations have: One, No Solution, or Infinitely Many Solutions?
2x + 2x + 2 = 4x + 2
Infinitely Many Solutions
What is the solution to the following system of equations?
-6x + 5y = 1
6x + 4y = -10
(-1,-1)
The difference of two numbers is 3. Their sum is 13. Find the numbers.
5 and 8
What is the slope of a line that passes though the origin (0,0) and (8,2)
1/4
What is the equation of a line that passes through the origin (0,0) and (1,3)?
y = 3x
How many solutions does the following system of equations have: One, No Solution, or Infinitely Many Solutions?
3(2x+1) + 2 = 6x + 2
No Solutions
What is the solution to the following system of equations?
y = -2
4x - 3y = 18
(3,-2)
Flying to Atlanta with a tailwind a plane averaged 158 mph. On the return trip the plane only averaged 112 mph while flying back into the same wind. Find the speed of the plane in still air.
135 mph
What is the slope of a line that passes though the origin (1,2) and (3,6)
2
What is the equation of a line that passes through the points (-1,-2) and (0,1)?
y = 3x + 1
How many solutions does the following system of equations have: One Solution, No Solution, or Infinitely Many Solutions?
5x + 3 = 3x + 9
One Solution
What is the solution to the following system of equations?
y = 5x - 7
-3x - 2y = -12
(2,3)
The senior classes at High School A and High School B planned separate trips to New York City. The senior class at High School A rented and filled 1 van and 6 buses with 372 students. High School B rented and filled 4 vans and 12 buses with 780 students. Each van and each bus carried the same number of students. How many students can a van carry?
18
What is the slope of a line that passes though the origin (-1,-2) and (1,6)
4
What is the equation of a line that passes through the points (-2,7) and (0,3)?
y = -2x + 3
How many solutions does the following system of equations have: One, No Solution, or Infinitely Many Solutions?
2(6x + 1) + 3 = 3(4x + 2) - 1
Infinitely Many Solutions
What is the solution to the following system of equations?
4x + 8y = 20
-4x + 2y = -30
(7,-1)
A boat traveled 336 miles downstream and back. The trip downstream took 12 hours. The trip back took 14 hours. What is the speed of the boat in still water?
26 mph
What is the slope of a line that passes though the origin (-2,-3) and (1,-1)
2/3
What is the equation of a line that passes through the points (-2,-3) and (1,9)?
y = 4x + 5
How many solutions does the following system of equations have: One, No Solution, or Infinitely Many Solutions?
3x + 5 - 5x +2 = 2x + 3 - 4x + 5
No Solution
What is the solution to the following system of equations?
5x + y = 9
10x - 7y = -18
(1,4)
Conte is selling tickets to a spring musical. On the first day of ticket sales the school sold 3 senior citizen tickets and 9 child tickets for a total of $75. The school took in $67 on the second day by selling 8 senior citizen tickets and 5 child tickets. What is the price each of one senior citizen ticket and one child ticket?
Senor citizen: $4, Child: $7