Rainbows scores on the first four algebra quizzes are 78 89

Question

Quiz

1) Simplify the following expression:

50 - 4(2² - 3²)

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) 4x² + y²

b) 4x² - y²

6) Solve the equation below and check your answer.

y - 9 = -29

7) Solve the equation below and check your answer.

-54 = 9w

8) Solve the equation below and check your answer.

p/6 = -13

9) The top of a mountain has an altitude of 16,423 feet above sea level and the bottom of a valley nearby is 172 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) Rainbow's scores on the first four algebra quizzes are 78, 89, 94, and 72. What score must she 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.