1001 Algebra Problems.PDF

105.Simplify the expression 3x^2 y(2x^3 y^2 ).
a. 6 x^6 y^2
b. 6 x^5 y^2
c. 6 x^5 y^3
d. 6 x^6 y^3

106.Simplify the expression ab

2

a

b



–2



1

a

–1

.

a.a

b.^1 a

c.ab 4

^3

d.ab 4

^4

e.ab 4

^5

107.Simplify the expression (3xy^5 )^2 – 11x^2 y^2 (4y^4 )^2.
a.–82x^2 y^10
b. 6 x^2 y^7 – 88x^2 y^8
c.–167x^2 y^10
d. 9 x^2 y^7 – 176x^2 y^8

108.Simplify the expression.
a. 6 x^5 y^3
b. 4 x^5 y^3
c. 4 x

(^72) 
y
(^52) 
d. 6 x
(^72) 
y
(^52) 
109.Simplify the expression(( 24 abb)
2
2 xx

• )

2

 2.

a.a (^2) b^4  (^2) x 4
b.a (^24) b 2
c.a (^2) b^4  (^2) x 4
d.a (^22) b 2
110.The product of 6x^2 and 4xy^2 is divided by 3x^3 y.
What is the simplified expresson?
a. 8 y
b.^4 xy
c. 4 y
d.^8 xy
111.If 3x^2 is multiplied by the quantity 2x^3 yraised to
the fourth power, to what would this expression
simplify?
a. 48 x^14 y^4
b.1,296x^16 y^4
c. 6 x^9 y^4
d. 6 x^14 y^4
112.Express the product of –9p^3 rand the quantity
5 p– 6rin simplified form.
a.–4p^4 r– 15p^3 r^2
b.–45p^4 r+ 54p^3 r^2
c.–45p^4 r–6r
d.–45p^3 r+ 54 p^3 r^2
Set 8 (Answers begin on page 161)
The problems in this set focus on simplifying arith-
metic combinations of algebraic expressions by using
exponent rules and combining like terms.
113.Simplify the expression 5ab^4 – ab^4.
a.–5ab^4
b.–5a^2 b^8
c. 4 ab^4
d.The expression cannot be simplified further.
114.Simplify the expression 5c^2 + 3c– 2c^2 + 4 – 7c.
a. 3 c^2 – 4c + 4
b.–3c^4 – 4c^2 + 4
c.–10c^2 – 21c+ 4
d.The expression cannot be simplified further.
115.Simplify the expression –5(x–(–3y)) + 4(2y+ x).
a.x+ 7y
b.x– 7y
c.–x– 7y
d.–x+ 7y
2(3x^2 y)^2 (xy)^3
3(xy)^2

• PRE-ALGEBRA FUNDAMENTALS–