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

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

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