Just Relax and think positively!! You CAN Do this!! Midterm exam Fall 2017 1) Solve the given equation for x. 3(2 1) 4(3) = 4( 4). 2) Solve the equation for x and check. 35 15 + = 3+5 3 +1 3) Solve the equation for x. 3(2 1) + 5 = 6 + 2 4) The distance needed to bring a truck to a stop varies directly as the square of its speed. If a truck travels at a speed of 55 mph it needs 79 feet to stop. What is the stopping distance of the truck travelling at 70 mph? 5) A principal of $7500 is invested in an account paying an annual rate of 5.5%. Find the amount in the account after 5 years if the account is compounded daily, quarterly, and monthly. 6) Graph the linear function by finding x-and y-intercepts. 2 = 6 + 2 7) Find the slope and y-intercept of the line. 2 5 = 20 8) Solve. 2( 1) 2 + 10 9) Solve. 7 3 < 7( + 2) 10) Solve the following inequality. Write the solution set using interval notation. 6 5 1 4 11 25 4 5 2 Professor: Dr. Behnaz Rouhani Math 012 Midterm exam 11) Solve the compound inequality. Write the solution set using interval notation. 14 4 + 6 14 12) Find an equation of the line that passes through the point (2, 7) and is parallel to the line 3 = 2 8. 13) Find the slope of the line that passes through the points (6, 4) and (4, 4) 14) The sum of two numbers is 62. Twice the first minus the second is 41. Find the numbers. 15) The width of a rectangle is 6 feet shorter than its length. If its perimeter is 82 feet, what is its width? 16) Answer each of the questions below: a) Write the number in scientific notation: 4,345,000 b) Write the number in scientific notation: 0.00095 c) Write the number in standard notation, without exponents: 3.55 105 d) Write the number in standard notation, without exponents: 2.3 104 17) Simplify. Write the answer using positive exponents only. 48 3 6 3 7 18) Simplify. Write the answer using positive exponents only. 3 4 2 3 3 19) Simplify. Write the answer using positive exponents only. 15 4 9 45 6 2 3 Professor: Dr. Behnaz Rouhani Math 012 Midterm exam 20) Simplify. Write the answer using positive exponents only. 3 3 4 5 (2 2 3 )2 4 21) Perform the indicated operations and simplify: (5 3 2 ) (5 2 + 3) (7 + 2 ) 22) Perform the indicated operations and simplify your answer: (6 2 + 6) + (9 2 9) 23) Perform the indicated operations and simplify your answer: (4 3)( 2 9) 24) Evaluate the following expression when = 3. 4 3 2 + 4 12 25) Perform the indicated operations and simplify: (7 2 32 + 10) (2 2 + 2 12 + 2 )