Question 1: 12 points) 1. Simplify the expression: (15 + 6 − 2 ) + (−5 2 − 18 + 6) Show your work. Write the answer in standard form (Question 2: 12 points) 2. The length of the rectangle below is + 12. The width of the rectangle is + 3. What is the area of the rectangle? Show all your work. Write your answer in standard form. (You may use any method we have learned [horizontal, vertical, box, or FOIL]) (Question 3: 12 points) 3. Simplify each expression. Show as much work as possible for each question for full credit. Write all answers in standard form.
a) (−5 + )( + 4) (Show your work) (5 points) b) Is the product of −5 + and + 4 equal to the product of 5 + and − 4? Explain your answer. (Show your work to prove your answer) (2 points) c) (2 + 5)(3 2 + 4 − 3) (Show your work) (5 points)
The formula for the lateral area of a right cone is la = rs, where r is the radius of the base and s is the slant height of the cone. which are equivalent equations?
Ascientist has 50 grams of a radioactive element. the amount of radioactive element remaining after t days can be determined using the equation (1) after two days the scientist receives a second shipment of 50 grams of the same element. the equation used to represent the amount of shipment 2 remaining after t days is 10) - 50 which of the following is an equivalent form of the expression for the amount remaining in shipment 2? what’s the answer?