Solving complex linear equations involving brackets | Maths

Starter quiz

The command word to turn $-2(5-3y)$ into $6y-10$ is ______.
- 'expand' ✓
- 'solve'
- 'simplify'
- 'substitute'
The command words to turn $5(x+7)-3(x+2)$ into $2x+29$ are ______.
- 'expand and solve'
- 'expand and simplify' ✓
- 'substitute and simplify'
- 'substitute and solve'
Simplify $4x+9+x-11$
- $4x^2-2$
- $4x-2$
- $5x+2$
- $5x-2$ ✓
- $5x-20$
Expand and simplify $8(x-3)+3(5x+7)$ .
- $8x-3+15x+7=23x+4$
- $8x+24+15x+21=23x+45$
- $8x-24-15x+21=-7x-3$
- $8x-24+15x+21=23x-3$ ✓
- $8x-24+15x+21=23x+3$
Which of these expressions can be simplified before the brackets are expanded?
- $3(x-7)+2(x-7)$ ✓
- $3(x-7)+7(x-3)$
- $3(2x+5)+2(2x+5)$ ✓
- $3(2d+5)+2(2e+5)$
- $3(5-x)+2(5-x)$ ✓
Which of the below are expressions for the perimeter of this rectangle?
- $(7x+3)+(4x+1)$
- $2(7x+3)+2(4x+1)$ ✓
- $2(7x + 3 + 4x+1)$ ✓
- $7x+3=4x+1$