Free Printable Algebraic Expressions

1.

$2xy^2+x^3-xy$
Name terms of this expression.

a)

$2x,\ y^2,\ x^3,\ xy$

b)

$2,\ xy^2,x^3,-x,\ y$

c)

$2xy^2,\ x^3,-xy$

d)

$2,\ x,\ y,\ y,\ x^3,\ -x,\ y$

2.

$4xy+3p+4a^3-3p^2a^3$
Based on this equation, write the factors of $-3p^2a^3$

a)

$3,\ p^2,\ a,\ a\$

b)

$-3,\ p,\ p,\ a,\ a,\ a$

c)

$-3,\ p^2,\ a^3$

d)

none of the above

3.

What is a polynomial?

a)

An expression with only term

b)

An expression with two unlike terms

c)

An expression with three unlike term

d)

An expression with on or more terms

4.

Identify a trinomial ?

a)

$6xy-2a+3b^3$

b)

$8t^3+5c-7t^3$

c)

$2b-6f$

d)

$9p^3e^2+7t-9p^2e^3$

5.

$4b-6y+7a^2-7au+7at$

Identify coefficient of -7a

a)

t

b)

u

c)

au

d)

$a^2$

6.

$12m^2-9m+5m-4m^2-7m-10$

Collect like terms and simplify the expression

a)

$8m^2+7-10$

b)

$-8m^2-7+10$

c)

$8m^2-11m-10$

d)

$8m^2+11+10$

7.

Subtract $24ab-10b-18a$ from $30ab+12b+14a$

a)

$6ab+22b+32a$

b)

$54ab+2b+4a$

c)

$54ab-22b-4a$

d)

$6ab-22b+32a$

8.

What should be taken away from $3x^2–4y^2+5xy+20$ to obtain $–x^2–y^2+6xy+20?$

a)

$2x^2-5y^2+13xy-20$

b)

$3x^2+3y^2-xy-20$

c)

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

9.

$z^3-3\left(z-10\right)$

If z=10, find

a)

100

b)

90

c)

980

d)

none of the above

10.

$2a^2+b^2+1$

When a= 0 and b= -1 then find

a)

2

b)

-1

c)

0

d)

1

Algebraic Expressions

Total questions: 10

Worksheet time: 7mins

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