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Hotmath Practice Problems

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Title:
Hotmath Algebra 1
Author:
Hotmath Team
 
Free, Lessons
Chapter:Exponents, Polynomials and FactoringSection:Adding and Subtracting Polynomials
 
Problem: 1

Find the sum.

(8x3 + 11x) + (14x3 – 2x + 4)

 
Problem: 3

Find the difference.

(4x + 5x2 – 2) – (x2 + x – 3)

 
Problem: 5

Find the difference.

(–8x2 + 13) – (9 – 2x2)

 
Problem: 7

Add the polynomials.

2x2 + 8, 7x2 – 5

 
Problem: 9

Add the polynomials.

3x2 + 5x – 2, 6x2 – 3x – 3

 
Problem: 11

Add the polynomials.

15x3 – 4x2 + 8, 6x2 + 7x – 2

 
Problem: 13

Add the polynomials.

5z – 9z2 – 8

2z2 + 3z

 
Problem: 15

Add the polynomials.

7x4 + 3x – 2, –2x4 – 3x2 + 5

 
Problem: 17

Subtract the second polynomial from the first.

3z3 + 5z2 – 3, z2 + 1

 
Problem: 19

Subtract the second polynomial from the first.

3x2 – 5x + 8, 2x2 – x + 2

 
Problem: 21

Subtract the second polynomial from the first.

–7x3 + 12, 5x3 + 6x – 8

 
Problem: 23

Subtract the second polynomial from the first.

3x3 – 6x2 + 2x – 2, 2x3 + x + 4

 
Problem: 25

Simplify.

(3x + 5) – (12x – 8) + (5x +2)

 
Problem: 27

Simplify.

– (3x3 + 2) + (5x3 + 3x) – (3x2 – 4)

 
Problem: 29

Simplify.

5(2t2 – 5) – 4(2t2 – 5) + 3(2t2 – 5)

 
Problem: 31

Solve the given equation.

5x – (2x – 1) = 16

 
Problem: 33

Solve the given equation.

(13n – 4) – (7n – 3) = –25

 
Problem: 35

Solve the given equation.

(5y – 4) – (6 – y) = 2(y + 1)

 
Problem: 37

Solve the given equation.

7 – 5x = 7(3 –x) – (x – 13)

 
Problem: 39

Solve the given equation.

(6y2 – y + 3) – 3(2y2 – 2y + 3) = 14

 
Problem: 41

Solve the given equation.

x(6 – x) = x – (x2 – 5x + 6)

 
Problem: 43

Find the area of the shaded region.

 
Problem: 45

Add the areas of the given rectangles and write the sum as a polynomial in simplest form.

 
Problem: 47

Find four consecutive integers whose sum is twice the square of 7.

 
Problem: 49

Find three consecutive odd integers such that twice the smallest is 5 more than the greatest.