Name
Period
Date
1 Simplify: (x+3)(x-4)
Simplify: (gm3 )(-2mn2)
2 Which of the following is a binomial
7
that is a linear function?
Which expression describes the area in
square units of a rectangle that has a
width of 5x3y2 and a length of 2x3y6 ?
A 3x-14
B 5x
A 10x6y8
C x3 + 9x2 - 4
B 7x6y8
D 6x2 -7x
C ±ux y
9 12
D 7xgy12
Simplify:
10x2y5
15x5y4
8 Simplify: (4a2b)4
The length of the rectangle is 2x3 units.
The width of the rectangle is (3x - 4) units.
What is the area of the rectangle?
9
The area of a rectangle is 36x8y1° units
and the width of the rectangle is 9x5y6
units. Which expression describes the
length of the rectangle?
5 Simplify: 3x2y(4x2y3-5xy2)
10 Which of the following shows the
polynomial arranged so that the powers
of x are in descending order?
14 Classify the polynomial by both
degree and the number of terms.
3x2 - 2
A 8x2-5x+4x3-1
B 10-5x+3x2-9x3
A cubic/trinomial
B quadratic/trinomial
C llx3 +3x2 +2x-12
D x3-5+3x+x2
11 Find the most simplified form,
(sÿ-3)(3ÿ-s)
C quadratic/binomial
D cubic/binomial
15 A square hole is cut in a rectangular
piece of metal. Which equation below
can be used to find the area, A, of the
shaded region?
2x+l
5X - 2
A A : (3z)(3ÿ)- (5ÿ- 2)(2z ÷ 1)
13 A rectangle has a length of
s A : (3z)(sx- 2)- (ÿz)(2z ÷ 1)
(2x-4) and a width of (5x + 3). What
is the area of the rectangle.
A 3x2-14x-12
c A : (5ÿ + ÿ)(2ÿ- I)-(3ÿ)
n A : (5ÿ- s)(2ÿ + 1)- (3ÿ)(3ÿ)
B 7x2 -14x-1
16 Simplify: (3x-5)2
C 10x2-14x-12
D 10x2+14x+12
17 Find the most simplified form.
2O
A square has a side that measures
(2a + b). Find the area.
(4a +c)(2a-3c)
18 Simpli y /
21 A rectangle has a width of (x- 10)and a
length of (4x + 7). Find the perimeter
of the rectangle.
A 5x-3
B 10x+6
C 10x-6
19 The perimeter of a rectangular garden
D 5x+3
is 36 cm. The garden is 8 feet longer
than it is wide. Which system of
equations would be used to find the
length and width?
A
22
1+w=36
w =l+8
B
21 + 2w = 36
l= 2w-8
23 The perimeter of a triangle is (12x + 4).
C
21 + 2w = 36
l=w+8
The length of one side is (2x + 6) and
the length of another side is (x - 8).
Find the measure of the third side.
D
1+w=36
w=l-8
24 Find the product of (4x+7)(4x-7).
28 A sidewalk was built around a
rectangular swimming pool. Which
expression below describes the area of
the sidewalk?
A 16x2 + 49
3x+3
B 16x2+56x-49
C 16x2+28x+49
2x+5
D 16x2 -49
A 3x2 +12x+15
B 3x2 + 9x + 15
C 9x2 + 33x +15
D 9x2 +15
26 Which is the correct expression for the
4x3y-5
following?
16x-1y2
29
The area of a rectangle is 5x2 -28x-12
and the length is (5x + 2). Which of the
A
4x4
y8
B
4x4
following is the measure of the width?
y7
A 2x+6
C
2
X
D
4c7
4
X
4y7
B 2x-4
C x-6
D x+6
27 Simplify: a4(3a3+4)