If x + 1 = 7, what is the value of x² + 2x + 1 ?

A.) 36

B.) 37

C.) 48

D.) 49

E.) 81

A.) 36

B.) 37

C.) 48

D.) 49

E.) 81

x + 1 = 7 {given equation}

x = 6 {subtracted 1 from each side}

x² + 2x + 1 {given expression}

= (6)² + 2(6) + 1 {substituted 6, in for x, into given expression}

= 36 + 12 + 1 {evaluated exponent and multiplied}

=

x = 6 {subtracted 1 from each side}

x² + 2x + 1 {given expression}

= (6)² + 2(6) + 1 {substituted 6, in for x, into given expression}

= 36 + 12 + 1 {evaluated exponent and multiplied}

=

**49**{added}**D.)***- Algebra House*