|
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. -42 + (-4)2 E. 2(2x - 3) + 3(4 - x) F. 2x(x - 3) + 5(3x + 1)
6x + 3 H. 0.3(x + 4) - 0.1(x + 2)
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 Solve the following equations. Then identify each as a conditional equation, an inconsistent equation, or an identity. A. 3x - 5 = 4x B. 5(x - 3) - (x + 5) = 4x - 1
x
2x
x
x
x Problem 5 Translate each verbal expression into an algebraic expression with one variable: A. 3 less than twice a number B. The area of a rectangle given that the width is 5 meters more than the length. C. The product of two consecutive even numbers is 168.
Problem 6 Determine whether the given number is a solution to the equation following it A. -6, -x + 5 = 11
x - 4
Problem 7 A window that is in the shape of a triangle has it largest side four times as long as its shortest side. The middle length side is three times as long as the shortest side. If the perimeter of the triangle is 40 inches, what are the dimensions of the triangle? Problem 8 Los Angeles is 400 miles from Sacramento. If Sue leaves Sacramento at 10:00 AM and averages 75 miles an hour, when will she arrive in Los Angeles? Problem 9 Solve the inequality. Graph the solution set and write the solution in interval notation. 5 - 3x > 1 - x Problem 10 Solve the inequality. Graph the solution set and write it in interval notation. -9 < 3(x - 1) < 0
e-mail Questions and Suggestions
|