Multiplying the last terms: $ 1 \times 6 $

Question 1

Using the FOIL method, what is the product of $ (x + 1)(x + 6) $ expressed in descending powers of $ x $?

Accepted Answer

$ x^2 + 7x + 6 $

Question 2

Which step in the FOIL method corresponds to multiplying the 'O' (Outside) terms in $ (x + 1)(x + 6) $?

Accepted Answer

$ x 	imes 6 $

Question 3

If you expand $ (x + 1)(x + 6) $ using the FOIL method, what is the coefficient of the $ x $ term in the result?

Accepted Answer

$ 7 $

Question 4

Which of the following expressions is equivalent to $ (x + 1)(x + 6) $ after applying the FOIL method?

Accepted Answer

$ x^2 + 7x + 6 $

Question 5

A student expands $ (x + 1)(x + 6) $ and gets $ x^2 + 6x + 1 $. Which step did they most likely miss in the FOIL method?

Accepted Answer

Multiplying the last terms: $ 1 	imes 6 $

Question 6

Which real-world scenario could be modeled by the expression $ (x + 1)(x + 6) $?

Accepted Answer

Calculating the area of a rectangle with length $ x + 1 $ and width $ x + 6 $

Question 7

If $ x $ represents the number of hours worked and $ (x + 1)(x + 6) $ represents total earnings, what is the quadratic term in the earnings formula?

Accepted Answer

$ x^2 $

Question 8

Which of the following is NOT a correct step in the FOIL method for $ (x + 1)(x + 6) $?

Accepted Answer

$ x 	imes 1 $

Question 9

After expanding $ (x + 1)(x + 6) $, which term represents the product of the inside terms in the FOIL method?

Accepted Answer

$ 1 	imes x = x $

Question 10

If you expand $ (x + 1)(x + 6) $ and combine like terms, what is the constant term in the result?

Accepted Answer

$ 6 $

Multiplying Binomials Using the FOIL Method

Study Guide - Practice Questions