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

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

7.2)

Solve the equations and check the answer:

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

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

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): $6 x (4 - \frac{3}{x}) = \frac{1}{x} (5 x^{2} + 8 x)$
f): $\frac{9}{x} + \frac{4}{x} = 39$
g): $\frac{6}{x} = \frac{2}{x} + 28$
h): $x (3 - \frac{5}{x}) = - 2 x + 10$

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): $6 x (4 - \frac{3}{x}) = \frac{1}{x} (5 x^{2} + 8 x)$
f): $\frac{9}{x} + \frac{4}{x} = 39$
g): $\frac{6}{x} = \frac{2}{x} + 28$
h): $x (3 - \frac{5}{x}) = - 2 x + 10$

7.4)

Solve the equations and check the answer:

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

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

7.5)

Solve the equations and check the answer:

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

7.6)

Solve the equations and check the answer:

a): $3 (x + 2) - (x + 1) = 40$
b): $\begin{aligned} x + 2 (3 + x) - 2 (- x - 2) \\ = - 3 (- 2 x + 1) \end{aligned}$
c): $\frac{3 x + 2}{4} = 7$
d): $\frac{x + 1}{2} = \frac{4 x - 3}{5}$
e): $\frac{3 x + 2}{2 - x} = 15$
f): $2 (\frac{x - 3}{2}) - (\frac{3 x + 1}{5 - 2}) = 17 x + \frac{5}{4} - \frac{3 x}{4}$

You can find the solutions here.

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Checking the Answer

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