WorksheetsA1-CHAPTER 7 TEST 2023-2024
Total questions: 169
Worksheet time: 8hrs 52mins
2x⁴+14x³−2x²
2n³
x³ + 3x
6x³+3x²+2x−4
Name the expression.
monomial
binomial
trinomial
two-term polynomial
monomial
binomial
trinomial
polynomial
How many terms does this polynomial have?
2x + y + z
1
2
3
4
What is the highest degree among terms in this polynomial?
6x2 + 7x4 + x3 + x
1
2
3
4
2x2 - 5
4x3 - 5x2 + 2x - 1
x2-2x+5
is classified as a...
2x – 9
8a3
Classify the polynomial by its degree.
-2x2 – x
Constant
Linear
Quadratic
Cubic
Classify the polynomial by its degree.
9x
Constant
Linear
Quadratic
Cubic
Classify the polynomial by its degree.
−7x3+ 10x
Constant
Linear
Quadratic
Cubic
Name the polynomial by degree and number of terms.
3x6
quadratic binomial
linear monomial
sixth degree monomial
quintic binomial
Classify the polynomial by its number of terms.
x³ + 3x
Monomial
Binomial
Trinomial
Polynomial
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
(5x2 -3x + 4) + (6x -3x2 - 3)
(3y2 + y3 - 5) + (4y2 -4y + 2y3 + 8)
(3- 2x + 2x2) - (4x -5 +3x2)
(3x4 - 4 - 5x2) - (1 - x2 + 2x3)
(p3 - 6p4 + 1) - (8p4 - 8p3 + 7)
(4a + 1 + 4a4) - (4a3 + 2a + 3a4)
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
(13x + 30) - (20x + 6)
(9x + 17) + (19x - 27)
(3x - 4) + (12x + 10)
(3- 2x + 2x2) - (4x -5 +3x2)
(3y2 + y3 - 5) + (4y2 -4y + 2y3 + 8)
(p3 - 6p4 + 1) - (8p4 - 8p3 + 7)
(4v3 + 3v - 8v4) + (4v - 8v4 - 7)
(5b - 3b3 - 8b2) - (2b3 - 4b2 + 6b - 3b4)
(7k + 2k3 - 8k4) - (4k3 - 5k + 4k2 - 7k4)
(3x - 4) + (12x + 10)
(9x + 17) + (19x - 27)
(13x + 30) - (20x + 6)
(4x2+ x) - (x2+ 2x)
(2x2 + 5x - 7) +
(- 4x2 + 6x + 3)
Find the Sum
(5x + 2) + (4x + 5)
9x – 7
-9x–11
9x+7
Solve the following problem.
(7x2 +3x + 10) - (4x2+ 2x + 6)
3x2 -5x + 16
11x2 + 5x + 16
3x2 + x + 4
7x2 + x + 6
Find the sum.
(12x2 - 8x + 12) +
(x2 + 6x + 3)
12x2 + 2x + 12
13x2 - 2x + 15
12x2 - 2x + 15
11x2 - 14x + 15
Solve the following problem.
(4x2 +10x - 8) - (2x2 - 2x + 6)
2x2 +8x - 2
6x2 -12x - 14
2x2 + 12x -14
6x2 + 8x + 2
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
(4v3 + 3v - 8v4) + (4v - 8v4 - 7)
(4x - 2x3) + (5x3 - 4x + 5)
(5x + x2 - 4) - (4x - x2 + 6)
(6b3 + 6 - b4) - (8b3 - 6b4 + 2)
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
What is the Perimeter?
3x - 3 inches
6x - 6 inches
3x - 6 inches
6x - 3 inches
The perimeter of the
triangle is 10x+20 . Find the length of the missing side.
6x+10
15x+30
5x+10
5x−10
6b
b + 5
b + 9
b - 13
4x
4x + 30
4x - 30
4x + 2
2a + 14
a + 4
2a -12
2a - 8
z + 6
z + 11
3z + 11
3z + 8
t + 18
2t + 18
2t + 12
2t + 24
w - 18
w- 16
4w - 34
4w + 34
16u + 20
34u + 36
24u + 16
30u + 26
Find the perimeter of a square with side length of
4x+8
2x+4
x2+4x+4
4x4+8
Find the perimeter of the triangle
4x+64
4x2+64
3x+50
3x2+50
Find the perimeter of a rectangle with a length of 5x−6 and a width of 3x2
6x2+10x−12
6x4+10x2−12
6x2+10x
6x2+10x+12
Multiply
Multiply
Multiply
Multiply
Multiply
Multiply
Multiply
Multiply
5x(4x3 + 8)
9x4 + 40x
20x4 + 40x
20x3 + 40x
9x4 + 13x
x2(2x+3)
Multiply.
2(x−4)
24x2+12x
2x−8
6x3+4x2
8x+8
Multiply.
6x2(2x−1)
20x4−16x3
12x3−6x2
48x3−48x2
10x−4
Multiply.
3(5n−7)
6n+12
12n+16
12n4−21n3
15n−21
Multiply.
5v3(2v2+6v−7)
25v4+25v3−30v2
56v2−14v−7
10v5+30v4−35v3
40v3+40v2−20v
Multiply.
4k(2k2+5k+1)
7k3−56k20−28k
8k2+10k−10
21k2−24k−24
8k3+20k2+4k
(3x + 2)(2x + 4)
(3x – 1)(x + 5)
(n - 5)(n - 1)
(x + 12)(x - 12)
(p − 8)2
Hint: (p − 8)2 = (p − 8)(p − 8)
Multiply:
(2x−7)(x+2)2x2−5x+4
2x2+3x+14
2x2−3x−14
x2+3x−14
What is the area of this rectangle?
48
8x2+14x+6
8x2+x+5
2x2+6x+8
Write in standard form:
2x(x+3)3x+6
2x2+6
2x2+6x
8x
2x ( -2x -3)
(4x+3)(2x-1)
(4x - 1)(5x−2)
20x2 + 3x − 2
20x2 − 11x + 5
20x2 − 13x + 2
20x2 − 3x − 2
(x+5)2
Multiply:
(y + 9)2
y2 +18y + 81
y2 + 81
y + 9
y2 +18y + 18
Multiply:
(z + 10)2
z2 + 10z + 100
z2 + 20z + 100
z2 + 100
z2 + 20z + 20
Multiply:
(2x + 1)2
4x2 + 1
4x2 + 2x + 1
4x2 + 4x + 1
2x2 + 4x + 1
Multiply:
(a + b)2
a2 + 2ab + b2
a2 + 2ab + 2b
a2 + 4a + b2
a2 + 2a + b2
Multiply:
(x - 3)2
x2 + 9
x2 - 6x - 9
x2 - 6x + 9
x2 - 3x - 9
Multiply:
(p - 4)2
p - 8p + 4
p2 - 8p + 16
p2 - 4p + 16
p2 - 4p + 8
Multiply:
(t - 9)(t + 9)
t2 - 18t - 81
t2 + 18t - 81
t2 + 81
t2 - 81
Multiply:
(p + 7)(p - 7)
p2 - 49
p2 + 49
p2 - 14p - 49
p2 + 14p + 49
Multiply:
(3x + 4)(3x - 4)
9x2 + 16
9x2 - 16
9x2 - 12x - 16
9x2 - 24x - 16
Multiply:
(a - b)(a + b)
a2 + b2
a2 - 2ab - b2
a2 + 2ab - b2
a2 - b2
BOX 1:
(x2 + 12)(x2 - 12) =
x2 - 144
x4 - 144
x - 144
x4 + 144
BOX 4: Multiply the binomials.
(x + 8)(x - 8)
x2 + 8x + 64
x2 + 64
x2 - 64
x2 + 16x - 64
(y − 5)(y + 5)
(c + 9)(c - 9)
c2 - 81
c2 + 81
c2 - 18c - 81
c2 + 18c - 81
Find the area of a square with side length x+2
x2+4x+4
x2+2x+4
4x+8
x2+4
The length of a rectangle is x + 2 units and the width is 3x + 7
units. Find the area.
3x2 + 9x + 14 square units
3x2 + 13x + 14 square units
4x + 9 square units
8x + 18 square units
What is the area of the ractangle?
25x2 − 20x
20x − 8
10x − 4
44
What is the are of the triangle that has a height of x2 and a base of 2x+6
x3+3x2
x3+6x2
2x3+6x2
2x3+3x2
What is the area of a square with sides (4x+3) ?
16x2+9
16x+12
16x2+24x+9
16x2+14x+9
What is the area of a square if the sides are (2x+9) ?
4x2+36x+81
4x2+81
4x2+22x+18
8x+36
(9x2 + 6x) ÷ 3x
2x3x2−2xy
1.5x3 −x2y
1.5x − y
1.5x + y
1.5x − 2y
2a2bc6a3b2c4 − 8a2b2c
3abc − 4abc
3abc3 − 4b
3a3b2c4 − 4b
3abc +4b
3y218y6 +9y4 −12y2
6y2 +3y2 −4y2
15y4 +6y2 − 9
6y4 +3y2−4
6y3 −3y2 +4y
(45x6y9) / (5x4y2)
Simplify
4x2y510x8y5
6x6y
25x6
25x6y
6x6
___________________________
(2x-7)
2x - 5
x - 4 + (3/4x - 5)
2x + 4 + (3/4x - 5)
2x + 4
Divide:
(4x2 - 24x + 35) / (2x - 5)
2x - 7
2x - 12
2x + 12
2x + 7
Find the quotient when (21x2 - 52x + 32) is divided by (7x - 8).
3x + 4
3x + 3
3x - 4
3x + 2
The area of a rectangular pool table is: x2 + 14x +40.
The length is x + 4. What is the width?
x + 8
x + 14
x + 10
x +4
(4x2 - 24x + 35) / (2x - 5)
DIVIDE BY LONG DIVISION
(2x3 - 5x2 + 3x + 7) ÷ (x - 2)
2x3 - x2 + x + 9
2x2 - x + 1
2x2 - x + 1 + 9/x-2
2x2 - 9x - 15 - 23/x-2
Solve using long division (2x2+6x−20)÷(2x−4)
x+5+2x−42
x−8
x−5+2x−43
x+5
