∑ Old Books, New Math

Chapter 15 · Highest Common Factor and Lowest Common Multiple

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 Lowest Common Multiple, exercise 9

Monomials.

1

8abc, 3b^2c and 12c^2

From Highest Common Factor, exercise 22

Polynomials. Factor each one first. You can type the H.C.F. factored or multiplied out.

2

ab+3b+ac+3c and 2ab+6b-2ac-6c

From Lowest Common Multiple, exercise 16

Polynomials. Factor everything first. A factored answer like x(x - 3)(x + 3) is the easy way to type it.

3

3x+3z and 6a^2x+6a^2z

From Highest Common Factor, exercise 12

Monomials. Leave your answer as a single term like 6x^3.

4

125m^7n^5p and 100ng^4

From Lowest Common Multiple, exercise 26

Polynomials. Factor everything first. A factored answer like x(x - 3)(x + 3) is the easy way to type it.

5

2x^3-2x, 3x^4+15x^3-18x^2 and x^2-36

From Lowest Common Multiple, exercise 23

Polynomials. Factor everything first. A factored answer like x(x - 3)(x + 3) is the easy way to type it.

6

ac-2bd+2ad-bc and a^2+ab-2b^2

From Lowest Common Multiple, exercise 6

Numbers first.

7

128, 160 and 200

From Highest Common Factor, exercise 19

Polynomials. Factor each one first. You can type the H.C.F. factored or multiplied out.

8

2c^3+12c^2+18c and c^3-2c^2-15c

From Lowest Common Multiple, exercise 11

Monomials.

9

20, 18xy^4 and 27ax^3y

From Highest Common Factor, exercise 14

Monomials. Leave your answer as a single term like 6x^3.

10

9xy^4, 54x^5y and 15x^4y^5