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Difficulty: EasyEvaluating Algebraic Expressions

Determine the final numerical value of the expression k2+4jk^2 + 4j when substituting k=−3k = -3 and j=−2j = -2.

  1. A
    -17
  2. B
    17
  3. 1Answer
  4. D
    -26

Answer

The correct value of the expression is 1.
The expression correctly evaluates to 1 by substituting the variables with their respective negative values and strictly following the order of operations (calculating exponents, then multiplication, then addition).

Step-by-Step Solution

1
Substitute the given numerical values into the variables in the expression.
(−3)2+4(−2)(-3)^2 + 4(-2)
To begin evaluating the algebraic expression, each variable must be replaced with its assigned value.
2
Evaluate the exponent portion of the expression.
9+4(−2)9 + 4(-2)
According to the order of operations, exponents are calculated before multiplication or addition. Squaring a negative number results in a positive value.
3
Perform the multiplication.
9−89 - 8
Multiplication precedes addition in the order of operations. Multiplying a positive integer by a negative integer gives a negative result.
4
Calculate the final sum.
11
Combining the remaining terms provides the final evaluated result of the expression.

Key Concept

Evaluating Algebraic Expressions
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Topics

Evaluating Algebraic Expressions

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