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Math Essentials>Basic Algebra>Activities 3

Activities 3

3.1)

Calculate and simplify the expressions if possible:

a): $x \times 2 x$
b): $2 x \times 3$
c): $x \times 2 y$
d): $5 x \times x$

a): $x \times 2 x$
b): $2 x \times 3$
c): $x \times 2 y$
d): $5 x \times x$

3.2)

Calculate and simplify the expressions if possible:

a): $a + b \times a + b$
b): $a \times b + 3 \times a$
c): $a + 3 \times b \times a + 4 \times b$
d): $\begin{aligned} x + 2 \times y \times y \\ + 4 \times x \times y - 3 \times y \end{aligned}$
e): $x \times x \times y + y$
f): $x \times y + x \times y + x \times y + x \times y$

a): $a + b \times a + b$
b): $a \times b + 3 \times a$
c): $a + 3 \times b \times a + 4 \times b$
d): $x + 2 \times y \times y + 4 \times x \times y - 3 \times y$
e): $x \times x \times y + y$
f): $x \times y + x \times y + x \times y + x \times y$

3.3)

Calculate and simplify the expressions if possible:

a): $2 a + a - b + 3 + 3 b$
b): $2 a + a^{2} + 2 a^{2} - a$
c): $2 a \times a + 2 - b - 4$
d): $- c + b \times b - c \times b + 1$
e): $\begin{aligned} 3 \times b \times c \times a - a \times b \\ + b \times c - 2 \times a \times b \end{aligned}$
f): $- a^{2} \times a + 2 \times a \times b \times a + 2 \times a^{3}$

a): $2 a + a - b + 3 + 3 b$
b): $2 a + a^{2} + 2 a^{2} - a$
c): $2 a \times a + 2 - b - 4$
d): $- c + b \times b - c \times b + 1$
e): $3 \times b \times c \times a - a \times b + b \times c - 2 \times a \times b$
f): $- a^{2} \times a + 2 \times a \times b \times a + 2 \times a^{3}$

3.4)

Simplify the expressions as much as possible:

a): $5 \times 4 b \times 3 a - 20 a b + 3 b a \times 10$
b): $50 a \times 10 - 60 \times 10 a + 200 a$
c): $5 b \times 8 - 4 \times 8 a + 50 a$
d): $50 t r u + 9 \times 4 t r \times 3 u - 100 t \times u r$

3.5)

Simplify the expressions as much as possible:

a): $\begin{aligned} 6 \times x \times x + 3 \times t \times 7 \\ - 4 x^{2} + 6 \times 5 \end{aligned}$
b): $\begin{aligned} 12 a \times 2 a + 3 w \times 3 w \\ - a \times a - w \times w \end{aligned}$
c): $15 \times 3 s \times s - 7 s^{2} \times 3 + 9 s \times 5 s$
d): $k \times k \times k + k \times 2 k + 5 k$
e): $w^{2} + 3 w - 5 w^{2} + w^{3}$
f): $13 n^{4} - 4 n^{3} \times n + n \times 5 n^{2} \times 5 n$

3.6)

Simplify the expressions as much as possible:

a): $a^{2} + 3 b + a$
b): $2 a + 3 b + a^{2} + 4 a + 2 a^{2}$
c): $b + b^{2} + 2 b + 5 b$
d): $2 b + 2 b^{2} b^{3} b^{4}$
e): $3 + a + 1 + 3 a$
f): $5 + 2 + 2 a + 11 + 3 a$
g): $2 a + 5 b + 11 + 17 a^{2} b^{2}$
h): $4 x + 2 y + 11 x + 3 y^{2}$

a): $a^{2} + 3 b + a$
b): $2 a + 3 b + a^{2} + 4 a + 2 a^{2}$
c): $b + b^{2} + 2 b + 5 b$
d): $2 b + 2 b^{2} b^{3} b^{4}$
e): $3 + a + 1 + 3 a$
f): $5 + 2 + 2 a + 11 + 3 a$
g): $2 a + 5 b + 11 + 17 a^{2} b^{2}$
h): $4 x + 2 y + 11 x + 3 y^{2}$

3.7)

Calculate and simplify the expressions:

a): $2 \times 3 x \times y$
b): $y 4 x \times 6 g \times 3$
c): $7 \times 3 \times 3 p$
d): $5 h \times 5 a \times 2 a$
e): $6 i \times 4 c \times 5 e$
f): $2 l \times 2 e \times 2 m \times 2 o \times 2 n$
g): $20 f \times 3 i \times l \times 4 m$
h): $7 t \times 8 e \times 10 a$

a): $2 \times 3 x \times y$
b): $y 4 x \times 6 g \times 3$
c): $7 \times 3 \times 3 p$
d): $5 h \times 5 a \times 2 a$
e): $6 i \times 4 c \times 5 e$
f): $2 l \times 2 e \times 2 m \times 2 o \times 2 n$
g): $20 f \times 3 i \times l \times 4 m$
h): $7 t \times 8 e \times 10 a$

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