|
Practice Exam 1 Please work out each of the given problems. Credit will be based on the steps that you show towards the final answer. Show your work. Problem 1 Simplify the following expressions. A. |-7|2 - |33| B. 37 - 18 - (-11) C. (7 + 11) ÷ 6 - 2 D. 2(2x - 3) + 3(4 - x)
Problem 2 Evaluate the following expression when x = 2, y = -1, and z = 3 x3y - 4y2 +2xz -3z + 2
Problem 3 Give the name of the property that the following identity uses. A. (2x + 3) + y = 2x + (3 + y) B. z + (3 - x) = (3 - x) + z
Problem 4 A. Solve the following for x. 3x + y = x - 2 B. Einstein's famous equation relates the energy (E) produced by annihilating a mass m. If c is the speed of light, then E = mc2 Solve this equation for m.
Problem 5 One number is 8 less than twice the other number. The sum of the two numbers is 31, find the two numbers.
Problem 6 The length of a rectangle is 18 inches less than three times its width. The perimeter of the rectangle is 52 inches. Find the dimensions of the rectangle.
Problem 7 To buy your $25,000 car, you had to get loans from two different sources for the $25,000. The first source charged 6% interest and the second source charged 8% interested per year. If the total amount of interest that you will pay for the first year is $1800, how much did you borrow from each source?
Problem 8 Solve the following inequalities and sketch the solution set on a number line. A. 3x - 5 > 2 B. 5 - 2x > 1 C. -10 < 6 - 2x < 10 Problem 9 A. Determine whether the ordered pairs (2,1) and (-1,4) are solutions to the equation y = 3x +7 B. State which quadrant, if any, each of the following ordered pairs are in. If the point is not in a quadrant, write "None." (3,-5) Quadrant ______ (4,0) Quadrant ______ (-2,-1) Quadrant ______
Problem 10 Simplify the following expression -7 + 3x - (4 - 8x)
e-mail Questions and Suggestions
|