Free Printable Combining like terms & Distributive property

1.

Which answer is another way to write

x^4

?

a)

$x\cdot x\cdot x\cdot x$

b)

$x+x+x+x$

c)

$4\cdot4\cdot4\cdot4$

d)

$4\cdot x$

2.

Which option is another way to write:

x\cdot x\cdot x\cdot x\cdot y\cdot y

a)

$x^{4^{y^2}}$

b)

$x^{y\cdot6}$

c)

$x^4y^2$

d)

$x^4+y^2$

3.

What is the simplified way to write what's below? $w^3\cdot w^5$

a)

$w^{15}$

b)

$w^2$

c)

$w^8$

d)

$w^3+w^5$

4.

What is the simplified way to write what's below? $w^3\cdot w^5+k^7$

a)

$kw^{15}$

b)

$w^8k^7$

c)

$w^8+k^7$

d)

$w^8\cdot k^7$

5.

What is the simplified way to write what's below? $w^3\cdot w^5\cdot w^6$

a)

$w^{14}$

b)

$w^{15}w^6$

c)

$w^8+w^6$

d)

$w^{15}+w^6$

6.

What is the simplified way to write what's below? $w^3\cdot w^5\cdot t^3$

a)

$11^{wt}$

b)

$wt^{11}$

c)

$w^8+k^3$

d)

$w^8t^3$

7.

Which terms are the like terms below?

3x^2-x^2+y-8

a)

1st & 3rd

b)

No like terms

c)

1st & 4th

d)

2nd & 1st

8.

Which terms are the like terms below?

3x^2-x+x^2+4y^2-2x^2

a)

1st & 3rd & 5th

b)

No like terms

c)

1st & 3rd & 4th & 5th

d)

1st & 2nd & 3rd & 5th

9.

What is the simplified way to write what's below? $r\cdot r^7$

a)

$r^7$

b)

$r+r^7$

c)

$r^8$

d)

$r^6$

10.

Combine the like terms in the expression below:

3x^2-x^2+y-8

a)

$3x+y-8$

b)

$2x^2+y-8$

c)

$-6x^2y$

d)

$y-5$

11.

Simplify the expression below (combine like terms):

3x^2-x+x^2+4y^2-2x^2

a)

$2x^2+4y^2-x$

b)

$x^2+4y^2$

c)

$6x^2+4y^2-x$

d)

$7x^2+4y^2-x$

12.

Simplify the expression: $2(x+3)$

a)

$2x+3$

b)

$2+x+3$

c)

$2x+6$

d)

$12x$

13.

Simplify the expression: $2(x+y+3)$

a)

$6xy$

b)

$2+xy+3$

c)

$2x+y+3$

d)

$2x+2y+6$

14.

Simplify the expression: $2(x+y+3)-4$

a)

$2x+2y+2$

b)

$2xy-1$

c)

$2x+2y-10$

d)

$2x+2y-2$

15.

Simplify the expression: $2(x+y+3)-4x$

a)

$-2x+2y+6$

b)

$6x+2y+6$

c)

$2x+2y-4x$

d)

$6xy-4x$

16.

Simplify the expression: $2x(x+y+3)-4x$

a)

$-2x+2y+6$

b)

$2x^2+2xy+2x$

c)

$2x+2y-4x$

d)

$6xy-4x$

17.

Simplify the expression: $-2x(x+y+3)+4$

a)

$2x^2+2xy+6x+4$

b)

$-2xx-2xy-2x$

c)

$2xx+2xy-2x$

d)

$-2x^2-2xy-6x+4$

18.

Simplify the expression: $x+y(-2x+3)-4y$

a)

$-x-3y+3$

b)

$x+y-2x+3-4y$

c)

$-2x^2y+3xy-4y$

d)

$-2xy+x-y$

19.

Simplify the expression: $x-y(-2x+3)-4y$

a)

$-x-3y+3$

b)

$2xy-7y+x$

c)

$-2xy+x-y$

d)

$2xy-y+x$

20.

Simplify the expression: $x+y(-2y+3)-4x$

a)

$-2y^2-4x+x-3y$

b)

$-2y^2-5x+3y$

c)

$-2y^2-3x+3y$

d)

$2y^2-3x+3y$

Combining like terms & Distributive property

Total questions: 20

Worksheet time: 30mins

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