High School

1. Evaluate the expression [tex]4x^2 + 3x[/tex] for [tex]x = 6[/tex].

2. Evaluate the expression [tex]\frac{56}{x} + 3y[/tex] for [tex]x = 4[/tex] and [tex]y = 3[/tex].

3. The expression [tex]7d[/tex] gives the number of days in [tex]d[/tex] weeks. Evaluate [tex]7d[/tex] for [tex]d = 12[/tex]. How many days are in 12 weeks?

Answer :

Let's evaluate the expressions one by one.


  1. Evaluate the expression [tex]4x^2 + 3x[/tex] for [tex]x = 6[/tex].

    Substitute [tex]x = 6[/tex] into the expression:

    [tex]4(6)^2 + 3(6)[/tex]

    First, calculate [tex](6)^2[/tex]:

    [tex]6^2 = 36[/tex]

    Now substitute 36 back:

    [tex]4 imes 36 + 3 imes 6[/tex]

    Calculate [tex]4 imes 36[/tex]:

    [tex]144[/tex]

    Calculate [tex]3 imes 6[/tex]:

    [tex]18[/tex]

    Finally, add the two results:

    [tex]144 + 18 = 162[/tex]

    So, when [tex]x = 6[/tex], the expression evaluates to [tex]162[/tex].


  2. Evaluate the expression [tex]\frac{56}{x} + 3y[/tex] for [tex]x = 4[/tex] and [tex]y = 3[/tex].

    Substitute [tex]x = 4[/tex] and [tex]y = 3[/tex] into the expression:

    [tex]\frac{56}{4} + 3(3)[/tex]

    First, calculate [tex]\frac{56}{4}[/tex]:

    [tex]14[/tex]

    Now calculate [tex]3 imes 3[/tex]:

    [tex]9[/tex]

    Add the two results:

    [tex]14 + 9 = 23[/tex]

    Therefore, when [tex]x = 4[/tex] and [tex]y = 3[/tex], the expression evaluates to [tex]23[/tex].


  3. The expression [tex]7d[/tex] gives the number of days in [tex]d[/tex] weeks. Evaluate [tex]7d[/tex] for [tex]d = 12[/tex]. How many days are in 12 weeks?

    Substitute [tex]d = 12[/tex] into the expression:

    [tex]7 imes 12[/tex]

    Calculate:

    [tex]84[/tex]

    So, there are [tex]84[/tex] days in 12 weeks.


Other Questions