Simplifying Expressions Answers
Evaluate x3 - 3y when x = -3 and y = 4.
Evaluate 5|x3 - 2| + 7 when x = -2.
57
Select all that are like terms to 5a5b4.
Simplify 6 - 4[x + 1 - (y + 3)] + 5y.
Simplify y²2y²4y²✔ 5y²
What is a simplified expression for the perimeter of the polygon?17x² + 7y²12x² + 5y² + 3x + 2y5x² + 2y² + 12x + 4y✔ 5x² + 2y² + 12x + 5y
Amir evaluated 5x - (x + 3)2 for x = 2, as shown. Describe Amir's mistake and find the correct answer. 5(2) - (2 + 3)2 = 10 + (-5)2 = 10 + 25 = 35
Amir made a mistake in the order of operations. He distributed the negative sign before evaluating the exponent, or treated the subtraction as part of the base being squared. According to PEMDAS, he should have added the numbers inside the parentheses first (2 + 3 = 5), then squared that result (5^2 = 25), and finally subtracted it from 10. The correct calculation is 10 - 25 = -15.
The expression -3m - [2m + (5 - m)] + 7 was simplified as 2 - 4m. Without simplifying, explain how you can show that it has been simplified correctly.
To show that the expression has been simplified correctly without performing the simplification steps, you can substitute a value for the variable m into both the original expression and the simplified expression. If the expressions are equivalent, they will yield the same numerical result. For example, if you let m = 1, both expressions should evaluate to the same value.
Check all of the facts that you included in your response.If the expression has been simplified correctly, then the expressions will be equivalent.The expressions will have the same value when numbers are substituted in for the variable m.Choose a value for m and substitute in to both expressions.Simplify each expression using the order of operations and show they are the same value.
Sample response: By the order of operations, Amir should have squared 5 and then subtracted rather than distributing the negative and squaring. 5(2) - (2 + 3)2 = 10 - (5)2 = 10 - 25 = -15 Check all of the facts that you included in your response.Amir did not follow the order of operations.Exponents should be evaluated before subtracting.The correct answer is -15.
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