Simplifying Expressions

Question 1

Evaluate 4(a2 + 2b) - 2b when a = 2 and b = –2.

Revolt · Accepted Answer

4

Question 2

Evaluate 5|x3 - 2| + 7 when x = -2.

Revolt · Accepted Answer

57

Question 3

Select all of the coefficients in the expression.12xy3 + 2x5y + 4x5y2 + 7x5y.

Revolt · Accepted Answer

2; 4; 7; 12

Question 4

Select all that are like terms to 5a5b4.

Revolt · Accepted Answer

a5b4; -a5b4; 9a5b4

Question 5

Simplify 6 - 4[x + 1 - (y + 3)] + 5y.

Revolt · Accepted Answer

14 - 4x + 9y

Question 6

Simplify y²2y²4y²✔ 5y²

Revolt · Accepted Answer

✔ 5y²

Question 7

What is a simplified expression for the perimeter of the polygon?17x² + 7y²12x² + 5y² + 3x + 2y5x² + 2y² + 12x + 4y✔ 5x² + 2y² + 12x + 5y

Revolt · Accepted Answer

✔ 5x² + 2y² + 12x + 5y

Question 8

If x = 3 cm and y = 2 cm, what is the perimeter of the polygon? cm

Revolt · Accepted Answer

99

Question 9

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.

Revolt · Accepted Answer

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.

Simplifying Expressions Answers

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