∑ Old Books, New Math

Chapter 5 · Subtraction

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.

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From Subtracting Monomials, exercise 16

For each pair, subtract both ways.

1

Subtract the first monomial from the second, and the second from the first: - 3 a and 2 b.

From Subtracting Monomials, exercise 17

For each pair, subtract both ways.

2

Subtract the first monomial from the second, and the second from the first: - 2 a and - 5 b.

From Subtracting Polynomials, exercise 12

Subtract the first polynomial from the second. Check by letting each letter equal 1.

3

Subtract 3 a - 2 b from 4 a - b + 2 c.

From Subtracting Monomials, exercise 13

For each pair, subtract both ways.

4

Subtract the first monomial from the second, and the second from the first: a and b.

From Subtracting Polynomials, exercise 29

Find the expression which subtracted from the first gives the second.

5

What must be subtracted from 3 a - 5 b + c to give 0?

From Subtracting Monomials, exercise 8

For each pair, subtract both ways.

6

Subtract the first monomial from the second, and the second from the first: - a c and - 5 a c.

From Subtracting Polynomials, exercise 11

Subtract the first polynomial from the second. Check by letting each letter equal 1.

7

Subtract 4 x - 8 y - 2 z from 4 x - 5 y + 3 z.

From Subtracting Monomials, exercise 4

For each pair, subtract both ways.

8

Subtract the first monomial from the second, and the second from the first: - 5 x and - 3 x.

From Subtracting Polynomials, exercise 7

Subtract both ways.

9

Subtract the first number from the second, and the second from the first: 3 x y - a and 5 x y.

From Subtracting Polynomials, exercise 3

Subtract both ways.

10

Subtract the first number from the second, and the second from the first: 2 a - 3 and 3 a + 5.