Problem solving with graphical representations | Maths

Starter quiz

The diagram shows the lines $y=2x-1$ and $y=5-x$ . The point A will help you find the solution to the __________ equations $y=2x-1$ and $y=5-x$ .
- intersecting
- non-linear
- quadratic
- simultanous ✓
Sam plots the graphs of $y=3x+1$ and $y=3x-4$ on the same coordinate grid. How many points will lie on both lines?
- '0' ✓
The linear equations $y = 2x -9$ and $y = 3 − x$ intersect at the point with coordinates (4, -1). What is the solution to the equation $2x-9=3-x$ ?
- $x=-1$
- $x=4$
- $y=-1$
- $y=4$
Use the graph to solve the simultaneous equations $y=2x-1$ and $y=5-x$ .
- $x=3$ , $y=2$
- $x=7$ , $y=-2$
- $x=1$ , $y=1$
- $x=-2$ , $y=7$
- $x=2$ , $y=3$ ✓
The diagram shows 6 points and the the lines $y=2x-1$ and $y=5-x$ . Which points satisfy the inequality $y<5-x$ ?
- A ✓
- C
- D
- F ✓
- B and E
The diagram shows 6 points and the the lines $y=2x-1$ and $y=5-x$ . The point that is the region $y>5-x$ and $y>2x-1$ is ______.
- 'C' ✓