Identify each product in the expression 14n + 2 + 6k and then identify the coefficients in each product.
a. Identify the terms of the expression 7x 2+ 2y − 8. Identify which terms in the expression are products and find the coefficients in those products.
b. List the order of operations used to evaluate the expression. What is the value of the expression at x = 2 and y = −1?
products involve multiplication
terms are separated by + or - signs
PEMDAS works to evaluate 7*2^2 + 2(-1) - 8
a. The expression 14n + 2 + 6k consists of three terms:
- The first term is 14n, where the product is 14n and the coefficient is 14.
- The second term is 2, which is a constant term with a coefficient of 2.
- The third term is 6k, where the product is 6k and the coefficient is 6.
b. The order of operations used to evaluate the expression is:
1. Evaluate any parentheses or brackets.
2. Perform any exponentiation or radicals.
3. Perform all multiplication and division from left to right.
4. Perform all addition and subtraction from left to right.
To find the value of the expression at x = 2 and y = -1, substitute the values of x and y into the expression:
7x^2 + 2y - 8
= 7(2)^2 + 2(-1) - 8
= 7(4) - 2 - 8
= 28 - 2 - 8
= 18
Therefore, the value of the expression at x = 2 and y = -1 is 18.
To identify each product in the expression 14n + 2 + 6k, we look for terms separated by multiplication or division symbols. In this case, we have two products: 14n and 6k. The coefficients in each product are 14 and 6, respectively.
For expression 7x^2 + 2y - 8, the terms are 7x^2, 2y, and -8. Among these terms, the product is found in the term 7x^2 because it involves multiplication. The coefficient in this product is 7.
To list the order of operations used to evaluate an expression, we follow the acronym PEMDAS:
1. Parentheses: Perform any operations inside parentheses first.
2. Exponents: Simplify any expressions with exponents.
3. Multiplication and Division: Perform any multiplication and division operations from left to right.
4. Addition and Subtraction: Perform any addition and subtraction operations from left to right.
To evaluate the expression at x = 2 and y = -1, we substitute these values into the expression and follow the order of operations.
7(2)^2 + 2(-1) - 8
= 7(4) + (-2) - 8
= 28 - 2 - 8
= 18
Therefore, the value of the expression at x = 2 and y = -1 is 18.