Your Progress - Chapter 20% complete
1Exercise 2.18 questions
Q.1Solve and check: $3x=2x+18$.v
Solution
$3x-2x=18$, so $x=18$. Check: $54=36+18$.
Answer:
$x=18$.
Q.2Solve and check: $5t-3=3t-5$.v
Solution
$5t-3t=-5+3$, so $2t=-2$ and $t=-1$.
Answer:
$t=-1$.
Q.3Solve and check: $5x+9=5+3x$.v
Solution
$2x=-4$, hence $x=-2$.
Answer:
$x=-2$.
Q.4Solve and check: $4z+3=6+2z$.v
Solution
$2z=3$, so $z=\dfrac32$.
Answer:
$z=\dfrac{3}{2}$.
Q.5Solve and check: $2x-1=14-x$.v
Solution
$3x=15$, hence $x=5$.
Answer:
$x=5$.
Q.6Solve and check: $8x+4=3(x-1)+7$.v
Solution
Right side $=3x-3+7=3x+4$. Thus $8x+4=3x+4$, so $5x=0$.
Answer:
$x=0$.
Q.7Solve and check: $x=\dfrac45(x+10)$.v
Solution
Multiplying by 5 gives $5x=4x+40$, so $x=40$.
Answer:
$x=40$.
Q.10Solve and check: $3m=5m-\dfrac85$.v
Solution
$-2m=-\dfrac85$, hence $m=\dfrac45$.
Answer:
$m=\dfrac45$.
2Exercise 2.24 questions
Q.1Solve: $\dfrac{x}{2}-\dfrac15=\dfrac{x}{3}+\dfrac14$.v
Solution
Multiply by 60: $30x-12=20x+15$. Thus $10x=27$.
Answer:
$x=\dfrac{27}{10}$.
Q.7Solve: $3(t-3)=5(2t+1)$.v
Solution
$3t-9=10t+5$, so $-14=7t$.
Answer:
$t=-2$.
Q.8Solve: $15(y-4)-2(y-9)+5(y+6)=0$.v
Solution
$15y-60-2y+18+5y+30=0$, so $18y-12=0$.
Answer:
$y=\dfrac23$.
Q.10Solve: $0.25(4f-3)=0.05(10f-9)$.v
Solution
Left side $=f-0.75$; right side $=0.5f-0.45$. Hence $0.5f=0.30$.
Answer:
$f=0.6$ or $\dfrac35$.