Math Problem Statement

What is the value of y2+5y when y=4 ?

Substitute 4 for y: 42+5(4) .

Type the numbers that complete each step.

42+5(4)

( )

16+20

Solution

Let's solve the expression step by step:

When y=4y = 4, the given expression is y2+5yy^2 + 5y.

Substitute y=4y = 4 into the expression:

42+5(4)4^2 + 5(4)

Now calculate:

  1. 42=164^2 = 16
  2. 5(4)=205(4) = 20

So, the expression becomes:

16+20=3616 + 20 = 36

Thus, the value of y2+5yy^2 + 5y when y=4y = 4 is 3636.

Would you like more details or have any questions about the steps? Here are 5 related questions:

  1. What is the value of y2+5yy^2 + 5y when y=3y = -3?
  2. How would the expression change if it was y25yy^2 - 5y?
  3. What happens if yy is a fraction or decimal value?
  4. Can you express y2+5yy^2 + 5y in factored form?
  5. What is the solution to y2+5y=0y^2 + 5y = 0?

Tip: When substituting values into an equation, always follow the order of operations (exponents, then multiplication, then addition).

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Math Problem Analysis

Mathematical Concepts

Algebra
Substitution
Polynomial Expressions

Formulas

y^2 + 5y
Substitution into expressions

Theorems

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Suitable Grade Level

Grades 6-8