Aussie Maths & Science Teachers: Save your time with SmarterEd
Solve `2x+1<7` and graph the solution on a number line. (2 marks)
`x<3`
| `2x+1` | `<7` | |
| `2x` | `< 6` | |
| `x` | `<3` |
Solve `1-3x<16` and graph the solution on a number line. (3 marks)
`x> -5`
| `1-3x` | `<16` | |
| `-3x` | `< 15` | |
| `3x` | `> -15` | |
| `x` | `> -5` |
Solve `(4x)/5+1> -1` and graph the solution on a number line. (3 marks)
--- 7 WORK AREA LINES (style=lined) ---
`x> -5/2`
| `(4x)/5+1` | `> -1` | |
| `(4x)/5` | `> -2` | |
| `4x` | `> -10` | |
| `x` | `> -10/4` | |
| `x` | `> -5/2` |
Solve `8(x-1)< 10` and graph the solution on a number line. (3 marks)
--- 6 WORK AREA LINES (style=lined) ---
`x<9/4`
| `8(x-1)` | `< 10` | |
| `8x-8` | `<10` | |
| `8x` | `<18` | |
| `x` | `<18/8` | |
| `x` | `<9/4` |
Solve `2(x+3)> 12` and graph the solution on a number line. (3 marks)
`x> 3`
| `2(x+3)` | `> 12` | |
| `2x+6` | `> 12` | |
| `2x` | `> 6` | |
| `x` | `>3` |
Solve `2x+1>= -3` and graph the solution on a number line. (3 marks)
`x>= -2`
| `2x+1` | `>= -3` | |
| `2x` | `>= -4` | |
| `x` | `>= -2` |
Solve `2x-5> -3` and graph the solution on a number line. (2 marks)
--- 5 WORK AREA LINES (style=lined) ---
`x > 1`
| `2x-5` | `> -3` |
| `2x` | `> 2` |
| `x` | `> 1` |
