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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:Multiplying Polynomials
 
Problem: 1

Multiply.

(3x – 4)(–3x)

Problem: 3

Multiply.

3x(x2 – 9x + 2)

Problem: 5

Multiply.

3w2(5w3 – 3w2 – w)

Problem: 7

Multiply.

4x(–x + 7)

Problem: 9

Multiply.

3x2(2x + 5)

Problem: 11

Multiply.

–4m2(m2 + x)

Problem: 13

Multiply.

5x3(x3 + 7)

Problem: 15

Multiply.

5y2(4y4 + 3y3)

Problem: 17

Multiply.

5x(2x2 + 3x – 2)

Problem: 19

Multiply.

–6a2(–2a2 – 4a + 3)

Problem: 21

Multiply.

6y6(–3y3 + 3y2 + y – 2)

Problem: 23

Multiply.

–5k4(h6 – h4 – h3 + h)

Problem: 25

Multiply.

3a(–7a8b + a2 – 11ab)

Problem: 27

Find the product using the FOIL pattern.

(y + 4)(y – 7)

Problem: 29

Find the product using the FOIL pattern.

(3w – 4)(w + 4)

Problem: 31

Find the product using the FOIL pattern.

(x – 8)(3x + 16)

Problem: 33

Find the product using the FOIL pattern.

(3z + 5)(5z + 3)

Problem: 35

Find the product using the FOIL pattern.

(4t – 1)(3t + 2)

Problem: 37

Find the product using the FOIL pattern.

(8w – 7)(9w – 14)

Problem: 39

Find the product.

Problem: 41

Find the product.

Problem: 43

Find the product.

Problem: 45

Find the product.

Problem: 47

Find the product.

Problem: 49

Find the product.

Problem: 51

Find the product.

Problem: 53

Multiply the given polynomials using the horizontal form.

(a + 3)(a2 + 2a + 4)

Problem: 55

Multiply the given polynomials using the horizontal form.

(m – 2)(m2 + 3m + 7)

Problem: 57

Multiply the given polynomials using the horizontal form.

(3x – 2)(x2 – 2x + 1)

Problem: 59

Multiply the given polynomials using the horizontal form.

(2z – 1)(4z2 – z + 5)

Problem: 61

Find the product.

Problem: 63

Find the product.

Problem: 65

Find an expression for the area of the triangle with base length 3x – 4 and height is x + 1.

Problem: 67

Determine the volume of the figure shown.

Problem: 69

Suppose you start with an 8–inch–square piece of cardboard. Squares with side length x are cut out of the corners, and the sides are folded up to make a box. Write polynomials for the volume of the box and for the surface area of the outside.