Solve a system by graphing: one, none or infinitely many solutions
Grade 8 Math Worksheet
Circle the best answer, or write your answer on the line.
Zee sketches two lines that cross left of the y-axis. At which point (x, y) do line A and line B cross?
Kira's pet snail gets a 20-foot head start in a race with a pet turtle. Both keep a steady pace. At which point (minutes, feet) does the turtle catch up?
Tala hopes (-1, -3) solves the system y = 4x + 1 and y = -2x - 4. Is (-1, -3) a solution of the system?
- No: it works in neither equation.
- No: it works only in the first equation.
- No: it works only in the second equation.
- Yes: it works in both equations.
Ari checks the point (2, -4) for the system y = x - 5 and y = -3x + 2 twice, just to be sure. Is (2, -4) a solution of the system?
- No: it works only in the second equation.
- No: it works only in the first equation.
- Yes: it works in both equations.
- No: it works in neither equation.
Esme graphs two equations on a four-quadrant grid, and only one line shows up. How many solutions does the system have?
- exactly one solution
- no solution
- infinitely many solutions
Zee graphs a system of two equations on a four-quadrant grid as line A and line B. How many solutions does the system have?
- exactly one solution
- infinitely many solutions
- no solution
Ren looks at the system y = 3x - 1 and y = 3x + 4 before graphing it. How many solutions does the system have?
- infinitely many solutions
- no solution
- exactly one solution
Luz looks at the system y = 4x - 3 and y = -x - 3 before graphing it. How many solutions does the system have?
- exactly one solution
- infinitely many solutions
- no solution
Bo's bean plant is 6 cm tall and grows 3 cm a week. The sunflower is 14 cm tall and grows 1 cm a week. At which point (weeks, cm) are they the same height?
A red kite is 12 m up and climbs 3 m a minute. Ari's blue kite is 30 m up and climbs 1 m a minute. At which point (minutes, m) are they level?