Colorful House of Math logo
Log in

Activities 5


5.1)

Calculate and simplify the expressions as much as possible:

a)
3xy x
b)
12x2y 4y
c)
a3 ab
d)
a a3b2
e)
a2 + a3 ab
f)
2a2 + 1 2a2
g)
2a + 4a2 8a2 + 2a
h)
2x + 4x2 6x2 + 1
i)
6xy + 2x 3y + 6xy
j)
4x 3x + 3y + 6xy + 2x 3y + 3x

a)
3xy x
b)
12x2y 4y
c)
a3 ab
d)
a a3b2
e)
a2 + a3 ab
f)
2a2 + 1 2a2
g)
2a + 4a2 8a2 + 2a
h)
2x + 4x2 6x2 + 1
i)
6xy + 2x 3y + 6xy
j)
4x 3x + 3y + 6xy + 2x 3y + 3x

5.2)

Calculate and simplify the expressions as much as possible:

a)
3 x + 4y xy
b)
2 5 3x 10x
c)
4 k + 4 r
d)
13b 4a + 7a 2b
e)
10u2 3u 4u 3
f)
12l 7p 8l 14p
g)
88 25g 8 5g
h)
ap 4p + 7a 3

a)
3 x + 4y xy
b)
2 5 3x 10x
c)
4 k + 4 r
d)
13b 4a + 7a 2b
e)
10u2 3u 4u 3
f)
12l 7p 8l 14p
g)
88 25g 8 5g
h)
ap 4p + 7a 3

Hint: Sometimes it can be smart to simplify first.

5.3)

Write the expressions as a single fraction and simplify as much as possible:

a)
5h j hs k
b)
jippi v + hurra w
c)
4 x y + 5 z
d)
i p + q p + 1
e)
kl rl ky ry
f)
a a b b a + b
g)
3 2a 5 2a + 1 2a + 7 2a

a)
5h j hs k
b)
jippi v + hurra w
c)
4 x y + 5 z
d)
i p + q p + 1
e)
kl rl ky ry
f)
a a b b a + b
g)
3 2a 5 2a + 1 2a + 7 2a

5.4)

Simplify the expressions as much as possible:

a)
2b a + 1
b)
4ba 8a + 2b
c)
3b a + b + 4a 2a + 2b
d)
11 a + 2 + a + 2 4(a + 2)
e)
32 a + 4 a 8
f)
5 a + a + 1 a
g)
32 x + y + 1 x 23y x + 4y y
h)
2 x + y + 2 x 15y x + 4 y

a)
2b a + 1
b)
4ba 8a + 2b
c)
3b a + b + 4a 2a + 2b
d)
11 a + 2 + a + 2 4(a + 2)
e)
32 a + 4 a 8
f)
5 a + a + 1 a
g)
32 x + y + 1 x 23y x + 4y y
h)
2 x + y + 2 x 15y x + 4 y

You can find the solutions here.

Want to know more?Sign UpIt's free!
White arrow pointing to the LeftPrevious entry
Fractions with Different Denominators
Next entryWhite arrow pointing to the right
Solutions