Soru

Zorluk: KolayEvaluating Algebraic Expressions

Given the expression 7x−2y27x - 2y^2, what is its numerical value when x=5x = 5 and y=3y = 3?

Cevap: 17

Cevap

17
The expression evaluates to 17 by successfully substituting the values into the variables and properly applying the order of operations.

Adım Adım Çözüm

1
Substitute the values x=5x = 5 and y=3y = 3 into the algebraic expression.
7(5)−2(3)27(5) - 2(3)^2
Variables must be replaced with their numerical values before evaluating.
2
Calculate the exponent.
7(5)−2(9)7(5) - 2(9)
According to the order of operations (PEMDAS), exponents must be evaluated before multiplication.
3
Perform the multiplication operations.
35−1835 - 18
Multiplication is evaluated before subtraction.
4
Subtract the resulting numbers.
17
This final arithmetic step yields the evaluated expression.

Anahtar Kavram

Evaluating Algebraic Expressions
Bu soruyu puanla