Algebra 2 Chapter 2 Quiz

Explanation
The given equation is x = -8. This means that the value of x is equal to -8. Therefore, the solution to the equation is x = -8. The answer provided, x = -8, -8, seems to be a repetition of the same value, which is -8.

Explanation
The inequality x>3 means that x is greater than 3. This means that any value of x that is greater than 3 will satisfy the inequality. For example, x=4, x=5, x=6, etc. are all solutions to the inequality x>3. However, any value of x that is less than or equal to 3 will not satisfy the inequality. Therefore, the solution to the inequality x>3 is x>3.

Explanation
The given question is asking to solve for x. Since the answer is -2, it means that when x is substituted with -2 in the equation, it satisfies the equation and makes it true. Therefore, -2 is the solution for x in this case.

Explanation
The equation can be written as 4 + x = 3x - 10. By simplifying and solving for x, we find that x = 7. Therefore, the number is 7. The answer options provided (x=7, 1/2, .5, 0.5, 7) all represent the same value, which is 7.

Explanation
To calculate the average, we need to find the sum of all the scores and divide it by the total number of scores. So far, the sum of the scores is 71 + 79 = 150. To find the score needed on the next essay, we need to solve the equation (150 + x) / 3 = 80, where x represents the score on the next essay. By solving this equation, we find that x = 90. Therefore, to meet the goal of an 80% average, the student needs to score 90 on the next essay.

Explanation
The given expression is already in its simplest form. It cannot be simplified further because there are no like terms to combine or any operations to perform. Therefore, the answer remains as 3x^8.

Explanation
The given expression x^6y^6|y| can be simplified by multiplying the exponents and keeping the absolute value bars around y. Since y^6 is already being multiplied by y, we can simplify it to y^7. Therefore, the simplified expression is x^6y^7.