∑ Old Books, New Math

Chapter 8 · Multiplication

Chapter challenge

Ten problems drawn from every lesson in the chapter. Get each one right on your first try for a perfect score. A new set is drawn each time.

0first-try
0of 10 done

From Multiplying Polynomials, exercise 15

Multiply, and check by letting each letter equal 1 (or 2).

1

Multiply 3x^2 - 3x - 7 by 2x + 4.

From Multiplying Polynomials, exercise 34

Expand (multiply out and combine like terms).

2

Expand (2a - b + 3)^2.

From Multiplying Polynomials, exercise 17

Multiply, and check by letting each letter equal 1 (or 2).

3

Multiply a^2x^2 - 2a^2x + 4a^2 by ax + 2a.

From Polynomial Times Monomial, exercise 19

Perform the multiplication indicated.

4

-3x(ax - bx + 3cx^2)

From Multiplying Polynomials, exercise 35

Expand (multiply out and combine like terms).

5

Expand (2x - 3ay)^3.

From Polynomial Times Monomial, exercise 4

Multiply.

6

Multiply 7xy - z by 3xy.

From Multiplying Monomials, exercise 12

Multiply. Try to do these in your head.

7

(6abc)^2

From Multiplying Polynomials, exercise 20

Multiply, and check by letting each letter equal 1 (or 2).

8

Multiply a^2 - \tfrac{1}{2}a + \tfrac{1}{4} by a^2 - a + \tfrac{1}{3}.

From Polynomial Times Monomial, exercise 2

Multiply.

9

Multiply 7x^2 - 5 by 3x^3.

From Polynomial Times Monomial, exercise 10

Multiply.

10

Multiply 7x^3 - 8x^2 - 12x + 6 by -\tfrac{3}{4}x^3.