Math 1 Chapter 1 Practice Test Bro. Daris Howard MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) When going more than 38 miles per hour, the gas mileage of a certain car fits the model = 43.81 -.39 where is the speed of the car in miles per hour and is the miles per gallon of gasoline. Based on this model, at what speed will the car average 1 miles per gallon? (Round to nearest whole number.) A) 48 B) 73 C) 98 D) 149 Page Ref: -9 Solve the equation. ) - 4-7 = A) 1 B) 0 7 C) 7 D) 7 0 Page Ref: -9 3) ( + 1.3) = ( -.9) A) 0.78 B) No solution C).13 D) -0.77 Page Ref: -9 Solve. 4) m - - m + = 8 m - 4 A) {} B) { 6} C) {-6} D) {-} Page Ref: - ) Two machines are turned on at 8:00 A.M. If one can produce 67 items each hour and the other can produce items each hour, at what time will the produce a total of 736 items? A) :30 P.M. B) 4:00 P.M. C) 3:00 P.M. D) :00 P.M. Page Ref: 18-19 6) Frank can tpe a report in hours. James takes 3 hours to tpe it. How long will it take the two of them tping together? A) 6 hr B) 1 6 hr C) 6 hr D) 1 hr Page Ref: 18-19 7) A contractor mies concrete from bags of pre-mi for small jobs. How man bags with 3% cement should he mi with 6 bags of 1% cement to produce a mi containing 7% cement? A) 1 bags B) 3 bags C) 14 bags D) 18 bags 8) A merchant has coffee worth $6 a pound that she wishes to mi with 60 pounds of coffee worth $18 a pound to get a miture that can be sold for $14 a pound. How man pounds of the $6 coffee should be used? A) 30 lb B) 90 lb C) 1 lb D) 4 lb 1
9) How man liters of a % alcohol solution must be mied with 90 liters of a 70% solution to get a 40% solution? A) 18 L B) 180 L C) 9 L D) 90 L ) Bill needs an average of 80 on four tests in science to make the honor roll. What is the lowest score he can receive on the fourth test if his first three scores are 68, 64, and 97? A) 91 B) 77.3 C) 76.3 D) 80 Page Ref: 16-17 11) From a point on a river, two boats are driven in opposite directions, one at miles per hour and the other at 13 miles per hour. In how man hours will the be 90 miles apart? A) 7 hr B) 1 hr C) hr D) 6 hr Page Ref: 1-16 1) A rectangular Persian carpet has a perimeter of 184 inches. The length of the carpet is 4 inches more than the width. What are the dimensions of the carpet? A) 8 in., 8 in. B) 80 in., 4 in. C) 68 in., 9 in. D) 34 in., 8 in. Page Ref: 14-1 13) Walt made an etra $000 last ear from a part-time job. He invested part of the mone at 9% and the rest at 7%. He made a total of $370 in interest. How much was invested at 7%? A) $00 B) $4000 C) $00 D) $3000 Page Ref: 13-14 Solve the formula for the specified variable. 14) S = πrh + πr for h A) h = S - πr πr B) h = π(s - r) C) h = S πr - 1 D) h = S - r Page Ref: 1-13 Find the center and radius of the circle. 1) ( - 4) + ( - 9) = 0 A) Center: (4, 9); radius: B) Center: (9, 4); radius: C) Center: (-4, -9); radius: 0 D) Center: (-9, -4); radius: Page Ref: 7-3
Graph the equation. 16) + + 6 + 6 + 14 = 0 - - - - A) B) - - - - - - - - C) D) - - - - - - - - Page Ref: 7-3 Write the standard equation for the circle. 17) Center (18, ), passing through (0, ) A) ( - ) + ( - 18) = 34 B) ( - ) + ( - 18) = 18 C) ( - 18) + ( - ) = 18 D) ( - 18) + ( - ) = 34 Page Ref: 7-3 3
Write the equation of the circle in standard form. The coordinates of the center and the radius for the circle are integers. 18) - - - - A) ( - 3) + = B) ( - 3) + = C) + ( - 3) = D) + ( - 3) = Page Ref: 7-3 19) A driver wants to gauge the fuel efficienc of her vehicle at speeds of 30 mph and above. She notices that traveling at an average speed of 4 mph results in a rating of 39 mpg, whereas at an average speed of mph, her car rates 34 mpg. Find an equation to model the gas mileage for an average speed of mph. Find the slope-intercept form of the equation of the line. A) = - 1 + 13 Page Ref: 4-46 B) = + 13 C) = - 33 D) = - 1-33 0) Find the value of a for the line that passes through (a, 7) and (-1, a) and has a slope of 3. A) - B) 1 C) 9 D) - Page Ref: 4-46 Write an equation in standard form using onl integers for the line described. 1) The line through (0, ), perpendicular to = + A) + = B) + = - C) - = D) + = - Page Ref: 4-46 ) A ball is thrown downward from a window in a tall building. Its position at time t in seconds is s = 16t + 3t, where s is in feet. How long (to the nearest tenth) will it take the ball to fall 39 feet? A) 9.0 sec B) 3.9 sec C) 3.0 sec D).8 sec Page Ref: 61-66 4
Solve the absolute value inequalit. Write the solution set using interval notation. 3) 6-9 < 1 3 A) 6, B) - 6 6, - 3 6 C) -, - 6-3 3, D) -, 6 6 6, Page Ref: 71-78 4) 6-8 9 A) -, 13 19, B) 19, 13 C) -, - 13-19 19, D) -, 13, Page Ref: 71-78 State the value of the discriminant and the number of real solutions. ) s = -6s - 7 A) 8, one B) 8, two C) -8, two D) 0, one Page Ref: 61-66 Evaluate the indicated power of i. 6) i61 A) -i B) i C) 1 D) -1 Page Ref: Perform the indicated operations and write the answer in the form a + bi, where a and b are real numbers. 7) ( + 4i)(4 + 9i) A) 36i + 34i + 8 B) -8-34i C) -8 + 34i D) 44 - i Page Ref: Write the epression in the form a + bi, where a and b are real numbers. 8) - - A) - B) i C) D) i Page Ref: 18-190