WorksheetsAlgebra -polynomial jan 25
Total questions: 136
Worksheet time: 5hrs 44mins
What is the perimeter of the rectangle?
x²+8x-5
2x²+16x-10
2x²+10x-8
6x-2
(4x2+ x) - (x2+ 2x)
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
(4x - 2x3) + (5x3 - 4x + 5)
(5x + x2 - 4) - (4x - x2 + 6)
(x5 + x3) - (6x - x3 + 6x5)
(4a3 - 8a - 4a2) + (7a3 - 7 - 6a)
(5x + 2) + (4x + 5)
(6x + 4x4 - 3x2) + (7x4 + 5x2 + 8x)
(3 - 2x + 2x2) + (4x - 5 + 3x2)
(4x - 2x3) + (5x3 - 4x + 5)
(2x2-xy+3y2)
(4x - 2x3) + (5x3 - 4x + 5)
What is the perimeter of the rectangle?
x²+8x-5
2x²+16x-10
2x²+10x-8
6x-2
9x2 + 5x + 27 + 2x3
(4a3 - 8a - 4a2) + (7a3 - 7 - 6a)
(3x3 + 3x2 – 4x + 5) + (x3 – 2x2 + x – 4)
Which of the following are examples of like terms?
2 and 2x
y3 and x3
y and x
-3x and 3x
What is the degree of the polynomial? 5x5 - 6x6 + 2
1
5
6
11
(2x + 5y) + (3x - 2y)
3x + 5y2 - 3
(5x + 2) + (4x + 5)
Combine like terms.
6x + 3 - 2x + 5
8x + 8
4x + 9
8x + 8
4x + 8
(4x2+ x) - (x2+ 2x)
(4a3 - 8a - 4a2) + (7a3 - 7 - 6a)
9x2 + 5x + 27 + 2x3
(3y2 + y3 - 5) + (4y2 -4y + 2y3 + 8)
(2x + 5y) + (3x - 2y)
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
(6x + 4x4 - 3x2) + (7x4 + 5x2 + 8x)
Determine the degree of the following polynomial:
-7xy3z2
1
3
2
6
Classify the following polynomial according to its terms:
-x4 - 2x3 +7x2 - 6x +13
Monomial
Binomial
Trinomial
Polynomial
Determine the leading coefficient of the following polynomial:
-8x - x3 +7x - 2
-8
-1
7
-2
Which of the following polynomials is written in standard form?
9 + 8x - 2x2
10x + x3 - 4x2 - 11
x4 + 5x3 - 6x +1
4x3 + 3x4 + 2x + 1
Determine the degree of the following polynomial:
-2x2 - x5 +2x - 5
5
2
7
8
Determine the degree of the following polynomial:
x4 - 9x + 1
1
4
5
-9
Classify the following polynomial according to its terms:
5x11
Monomial
Binomial
Trinomial
Polynomial
Classify the following polynomial according to its terms:
-3x2 + 17
Monomial
Binomial
Trinomial
Polynomial
Classify the following polynomial according to its terms:
4x2 + 5x -7
Monomial
Binomial
Trinomial
Polynomial
Subtract the following polynomials:
(-5x2 + x3 - 2x + 3) - (-5x2 -x3 + 4x + 8)
2x3 - 6x + 11
2x3 - 6x - 5
2x3 - 10x2 - 6x - 5
- 10x2 - 6x - 5
Add the following polynomials:
(x3 + 6x - 5) + (-6x2 + 4x + 3)
x3 - 6x2 +10x - 8
x3 - 6x2 +10x + 2
x3 - 6x2 +10x - 2
x3 + 4x - 2
Add the following polynomials:
(12x2 + 3x4 - 6x - 2) + (-3x4 + 5x + 9 - 7x2)
5x2 - x + 7
6x4 + 5x2 - x + 7
6x4 + 5x2 - x + 11
5x2 + 11x + 11
Subtract the following polynomials:
(6x2 + 10x - 9) - (4x2 - 13)
2x2 + 10x - 22
10x2 + 10x - 22
2x2 + 10x - 4
2x2 + 10x + 4
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
2/3 =
8 and 6?
Name the LEAST COMMON MULTIPLE of 12 and 9.
18
12
36
108
Name the missing numerator.
12
3
6
9
In the expression p × 7, the letter p represents
a subtraction symbol
a number sentence
a multiplication symbol
a variable
Which equation represents, "a box of doughnuts shared with four friends if each friend gets three doughnuts"?
3d = 4
d + 4 = 3
4d = 3
4d = 3
Joey packed b boxes with 4 ornaments in each box. If there were 36 ornaments, what number sentence would be used to find out how many boxes Joey packed?
b + 36 = 4
4 × b = 36
36 × 4 = b
b - 4 = 36
If "a" represents a number, which of the following expressions means 5 less than that number?
a - 5
a + 5
a ÷ 5
5 - a
Which expression represents the phrase “the quotient of a number and six“?
6x
6x
x - 6
6x
Nancy has 7 times more vacation days than Laura. If v represents the number of vacation days Laura has, which expression represents the number of vacation days Nancy has?
v + 7
7 - v
7v
v7
Which problem below could be solved by the equation 4x = 20?
John has 4 pencils. How many more pencils does he need to get a total of 20 pencils?
Will buys 4 packages of pencils. Each package has 20 pencils. How many pencils did Will buy?
Jen gives her friend 4 pencils. She is left with 20 pencils. How many pencils did she start with?
Four teams have a total of 20 pencils and each has an equal number of pencils. How many pencils would each team have?
Which situation could be represented by 12 - n = 6
Mark had 12 baseball cards. He gave an equal amount to his friends. Each friend now has 6 cards.
Mark had 6 baseball cards. He was given some more for his birthday. He now has twice as many.
Mark had 6 baseball cards. He was given some more for his birthday. He now has 12 baseball cards.
Mark had 12 baseball cards. He gave some to a friend. He now has 6 baseball cards
Which equation represents "a number, y, increased by 45 is 312"?
y + 45 = 312
y ÷ 45 = 312
y - 45 = 312
y x 45 = 312
Identify the statements that describe a variable. (You must select ALL correct answers!)
A variable can be represented by a letter.
A variable is used to represent an unknown number in an equation.
A number can be used to represent a variable.
A symbol can be used to stand for a variable.
Which represents the unknown value in the following statement?
s + 3 = 12
s
12
+
3
If the pattern below continues, what would be the 9th term? 25, 27, 24, 26, 23, 25, 22.....
26
23
24
21
There are 8 fewer students in Robert's art class than in Danielle's. If d represents the number of students in Danielle's art class, which of these number sentences could be used to find the number of students in Robert's class?
d - 8 = ?
d + 8 = ?
8 - d = ?
8 ÷ d = ?
Which statement is true about even and odd numbers?
The difference of an even and an odd number is always even.
The sum of two odd numbers is always odd.
The sum of two even numbers is always odd.
The sum of an even and odd number is always odd.
When rounded to the nearest hundredth, which of these numbers would round to 75.49? (Please choose exactly TWO answers and no more or less!)
75.487
75.494
75.498
75.478
(3y2 + y3 - 5) + (4y2 -4y + 2y3 + 8)
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
Find the difference.
(7p + 4p3 - 8) - (-3p2 + 2 - 9p)
-3p2 + 4p3 -15 + 9
3p3 + 4p2 - p + 3
4p3 +3p2 +16p -10
4p3 +3p2 + 16p + 10
3x3 – 6x
2n³
Terms that have....
3x + 2x + 3y - 7y
4x2 - 3x + 11 -2x
What is the the DEGREE:
4x3 - 5x2 + 2x - 1
1
2
3
4
What is the coefficient of this term?
9x3
None
9
3
x
Simplify the Expression:
3x + 6 - 2x +7
14
14x
x + 13
x - 13
Simplify this polynomial:
3x2 - x + 2 - 5x2 + 8x - 5
8x2 + 9x + 7
-2x2 + 7x - 3
2x2 + 7x - 3
5x2 - 3
Simplify this polynomial:
n - 10 + 9n - 3
-3
9n - 3
n
10n - 13
Classify by number of terms:
5x2 – 6x + 3
Monomial
Binomial
Trinomial
4-Term Polynomial
What is the constant of this polynomial?
2x3 - 8x2 + 3x - 7
2
-8
3
-7
What is the degree of this polynomial?
2x4 - 3x5 + x
-3
2
4
5
How many terms are in this polynomial?
2x3 - 8x2 + 3x - 7
7
1
4
2
Joanne is campaigning for class president and plans to distribute some campaign materials: 20 flyers and 16 buttons. She wants each classroom to receive an identical set of campaign materials, without having any materials left over. What is the greatest number of classrooms Joanne can distribute materials to?
LCM, 4 classrooms
GCF, 8 classrooms
GCF, 4 classrooms
LCM, 80 classrooms
Matthew goes hiking every 2 days and swimming every 6 days, He did both kinds of exercise today. How many days from now will he go both hiking and swimming again?
GCF, 2 days
LCM, 12 days
GCF, 12 days
LCM, 13 days
Edeena is packing equal numbers of apple slices and grapes for snacks. Edeena bags the apple slices in groups of 18 and the grapes in groups of 9. What is the smallest number of grapes that she can pack?
GCF, 9 grapes
LCM,18 grapes
GCF, 18 grapes
LCM, 9 grapes
Ariel is making"flower arrangements. He has 7 roses and 14 daisies. lf Ariel wants to make all the arrangements identical and have no flowers left over, what is the greatest number of flower arrangements that he can make?
GCF, 7 arrangements
LCM,7 arrangements
GCF, 98 arrangements
LCM, 98 arrangements
Mandy is making emergency-preparedness kits to share with friends. She has 12 bottles of water and 16 cans of food, which she would like to distribute equally among the kits, with nothing left over. What is the greatest number of kits Mandy can make?
GCF, 24 kits
LCM, 4 kits
GCF, 4 kits
LCM, 24 kits
At the gym, Hillary swims every 6 days, runs every 4 days and cycles every 16 days. If she did all three activities today, in how many days will she do all three activities on the same day? (hint LCM)
16
24
48
32
Oscar needs to ship 14 rocks CDs, 12 classical CDs, and 8 pop CDs. He can pack only one type of CD in each box and he must pack the same number of CDs in each box. What is the greatest number of CDs Oscar can pack in each box?
7
1
8
2
I want to plant 45 sunflower plants, 81 corn plants and 63 tomato plants in my garden. If I put the same number of plants in each row and each row has only one type of plant, what is the greatest number of plants I can put in one row?
9
27
5
7
Cups are sold 6 to a package and plates are sold 8 to a package. If you want to have the same number of each item for a party, what is the least number of packages of each you need to buy?
12
24
18
48
Tony needs to ship 12 comedy DVDs, 24 animated DVDs, and 30 musical DVDs. He can pack only one type of DVD in each box and he must pack the same number of DVDs in each box, What is the greatest number of DVDs Tony can pack in each box?
12
3
6
10
