Define the unknown quantity in terms of one variable

Question

Assignment

1) Simplify the following expression:

45 - 5(3² - 4²)

2) Simplify the following expression:

|15 -42| / (11 + 4(-5))

3) Simplify the expression:

{-7(-3) + (-3)²} / {-5(4 - 7)}

4) Simplify the expression:

{-12² / 3 (-4)} / 6[8 - 12]

5) Evaluate the expressions below for x = -2 and y = -3:

a) 5x² + y²

b) 5x² - y²

6) Solve the equation below and show the check of your answer.

y - 12 = -22

7) Solve the equation below and show the check of your answer.

-56 = 8w

8) Solve the equation below and show the check of your answer.

n/7 = -12

9) The top of a mountain has an altitude of 14,443 feet above sea level and the bottom of a valley nearby is at 149 feet below sea level. Answer each of the following questions, including units with all answers.

a) Find the difference between these two elevations.

b) Round your answer from part (a) to the nearest 10 feet.

c) Round your answer from part (a) to the nearest 100 feet.

d) Round your answer from part (a) to the nearest 1000 feet.

e) Round your answer from part (a) to the nearest 10,000 feet.

10) Jackson's scores on the first four algebra quizzes are 79, 88, 95, and 71. What score must he earn on the fifth quiz to earn an average quiz score of 85? Please set up and solve this problem following the steps below:

a) Define the unknown quantity in terms of one variable.
b) Translate the question into an equation.
c) Solve the equation, showing all work.
d) Write a complete answer to the question asked.