# Activities 7

### 7.1)

Solve the equations and check the answer:

a)
$x-4=12$
b)
$x+6=4$
c)
$2.3-x=6.7$
d)
$2x-4.5=8.3$
e)
$3-5x=-12$
f)
$7=3x+22$
g)
$3x+5=1$
h)
$2x+2=7$
i)
$x+3=-5$
j)
$4x-2=7$
k)
$2x+3=3x+2$
l)
$x-4=2x-1$
m)
$5x+1=x-3$
n)
$32x-24=5$
o)
$3x+5=4+6x$

a)
$x-4=12$
b)
$x+6=4$
c)
$2.3-x=6.7$
d)
$2x-4.5=8.3$
e)
$3-5x=-12$
f)
$7=3x+22$
g)
$3x+5=1$
h)
$2x+2=7$
i)
$x+3=-5$
j)
$4x-2=7$
k)
$2x+3=3x+2$
l)
$x-4=2x-1$
m)
$5x+1=x-3$
n)
$32x-24=5$
o)
$3x+5=4+6x$

### 7.2)

Solve the equations and check the answer:

a)
$3x-20=4x-6$
b)
$5+x=3x+7-4x$
c)
$2x+3-4x-1=0$
d)
$\frac{2x}{5}-\frac{1}{3}=1$
e)
$\frac{3x}{2}-\frac{1}{3}=\frac{2x}{3}+\frac{4}{3}$
f)
$\frac{4}{5}+3x-5=2x-\frac{x}{15}$
g)
$20-\frac{5x}{2}=10+\frac{6x}{4}$
h)
$\frac{4x}{3}+\frac{3x}{4}=50$
i)
${4}^{2}+4x=x+16$

a)
$3x-20=4x-6$
b)
$5+x=3x+7-4x$
c)
$2x+3-4x-1=0$
d)
$\frac{2x}{5}-\frac{1}{3}=1$
e)
$\frac{3x}{2}-\frac{1}{3}=\frac{2x}{3}+\frac{4}{3}$
f)
$\frac{4}{5}+3x-5=2x-\frac{x}{15}$
g)
$20-\frac{5x}{2}=10+\frac{6x}{4}$
h)
$\frac{4x}{3}+\frac{3x}{4}=50$
i)
${4}^{2}+4x=x+16$

### 7.3)

Solve the equations and check the answer:

a)
$\frac{2}{x}=\frac{3}{5}$
b)
$\frac{1}{x}+\frac{2}{3}=\frac{4}{3}$
c)
$\frac{6}{x}=2$
d)
$\frac{3}{x}+1=10$
e)
$6x\phantom{\rule{-0.17em}{0ex}}\left(4-\frac{3}{x}\right)=\frac{1}{x}\phantom{\rule{-0.17em}{0ex}}\left(5{x}^{2}+8x\right)$
f)
$\frac{9}{x}+\frac{4}{x}=39$
g)
$\frac{6}{x}=\frac{2}{x}+28$
h)
$x\phantom{\rule{-0.17em}{0ex}}\left(3-\frac{5}{x}\right)=-2x+10$

a)
$\frac{2}{x}=\frac{3}{5}$
b)
$\frac{1}{x}+\frac{2}{3}=\frac{4}{3}$
c)
$\frac{6}{x}=2$
d)
$\frac{3}{x}+1=10$
e)
$6x\phantom{\rule{-0.17em}{0ex}}\left(4-\frac{3}{x}\right)=\frac{1}{x}\phantom{\rule{-0.17em}{0ex}}\left(5{x}^{2}+8x\right)$
f)
$\frac{9}{x}+\frac{4}{x}=39$
g)
$\frac{6}{x}=\frac{2}{x}+28$
h)
$x\phantom{\rule{-0.17em}{0ex}}\left(3-\frac{5}{x}\right)=-2x+10$

### 7.4)

Solve the equations and check the answer:

a)
$\frac{2x}{3}+\frac{7}{2}=\frac{2}{4}$
b)
$\frac{5x}{6}+14=32x$
c)
$2x+\frac{3x}{4}=2$
d)
$5x+\frac{1}{4}=2x$
e)
$16=\frac{2x}{3}$
f)
$4=\frac{7x}{5}$
g)
$2=\frac{x}{6}+7$
h)
$4=\frac{2x}{5}-9$

a)
$\frac{2x}{3}+\frac{7}{2}=\frac{2}{4}$
b)
$\frac{5x}{6}+14=32x$
c)
$2x+\frac{3x}{4}=2$
d)
$5x+\frac{1}{4}=2x$
e)
$16=\frac{2x}{3}$
f)
$4=\frac{7x}{5}$
g)
$2=\frac{x}{6}+7$
h)
$4=\frac{2x}{5}-9$

### 7.5)

Solve the equations and check the answer:

a)
$3\left(x-6\right)-\left(10-x\right)=30$
b)
$x+11=10x-2\left(4x+22\right)$
c)
$2x-3\left(4x-3\right)=5\left(3x-3\right)+4$
d)
$8\left(4x-3\right)=2\left(x+8\right)$
e)
$2\left(x+3\right)=5-\left(x-4\right)$
f)
$3x+29=5x-8\left(7x-7\right)$
g)
$\begin{array}{ccc}\hfill & -4\left(2x-5\right)-\left(3x+8\right)\hfill & \hfill \\ \hfill & =-\left(-4x+3\right)-2\left(3+6x\right)\hfill \end{array}$
h)
$\begin{array}{ccc}\hfill & \left(x+9\right)+3\left(-x+7\right)\hfill & \hfill \\ \hfill & =10x+\left(-2x+6\right)\hfill \end{array}$

### 7.6)

Solve the equations and check the answer:

a)
$3\left(x+2\right)-\left(x+1\right)=40$
b)
$\begin{array}{ccc}\hfill & x+2\left(3+x\right)-2\left(-x-2\right)\hfill & \hfill \\ \hfill & =-3\left(-2x+1\right)\hfill \end{array}$
c)
$\frac{3x+2}{4}=7$
d)
$\frac{x+1}{2}=\frac{4x-3}{5}$
e)
$\frac{3x+2}{2-x}=15$
f)
$2\phantom{\rule{-0.17em}{0ex}}\left(\frac{x-3}{2}\right)-\phantom{\rule{-0.17em}{0ex}}\left(\frac{3x+1}{5-2}\right)=17x+\frac{5}{4}-\frac{3x}{4}$

You can find the solutions here.