Math 3 Practice Test #5

Transcription

1 Math 3 Practice Test #5 Name: ate:. Which equation is equivalent to =? = = = = On a recent test, Jeremy wrote the equation 6 = + 4. Which of the following statements 4 is correct about the equation he wrote? The equation is always true. The equation is always true, ecept when = 4. The equation is never true. The equation is sometimes true when = 4.. What are the solutions to the equation + = 3? = ; = = ; = 3 = ; = = 3 + ; = 3 5. The Student Government ssociation is planning a dance. The ssociation spends $450 for supplies and will charge $7 per ticket. The epression for profit (total sales minus total costs) is 7 450, where is the number of tickets that are sold. Which of these epressions represents the profit per ticket? (7 450) 7 450, , 0 3. Which epression is equivalent to ? 3( ) 3 3 3( ) 6. What is the value of in the following equation?.5 = page

2 7. Study the proportion below. 7 = 5 + What value of makes the proportion true?. Which of the following is equivalent to the epression shown below? = Solve for : + 5 = ( + 5) or 5 or 9. Which epression is equivalent to + + 8? Which fraction is equivalent to ? What value of would make the following proportion true? 6 4 = Which is a solution set to + 3 = +? { } { } {, } {, } page Math 3 Practice Test #5

3 5. In the equation shown below, represents a positive real number. y = s the value of gets larger, what happens to the value of y? The value of y stays the same. The value of y increases. The value of y approaches 50. The value of y approaches Jane wants to visit her sister. Her car travels miles per gallon of gas. She will travel,000 miles to her sister s house. Gas costs $3.50 per gallon. Which epression shows how much Jane will spend for gas on the trip to her sister s house? ( ), 000, 000 (3.50) 3.50 ( ) 3.50, 000 ( ), oncentration of Medication in the loodstream The effect of certain pain-killing medications can be described by mathematical formulas. octors often use the formulas and their graphs to show how the concentration of medication in the bloodstream changes as time passes. This information can be used to decide when additional doses should be given. 8. 7z + 7z 4z + 8 z 4 z 3 + z + z 7(z ) 4(z + ) 7z(z + ) 4(z + ) 7(z + ) 4(z ) 7z(z ) 4(z + ) In the formulas represented in the following question(s), t represents the time in hours since the medication was given, and represents the concentration of the medication in milligrams per liter of blood. oncentration Over Time Suppose that the doctor gives only one dose of the medication. Use the graph and the formula to eplain what happens to the concentration of the medication after the time period shown on the graph (e.g., t > 9 hours). Support your conclusion by substituting two or more values for time. 9. Simplify: y + y y y + + y y 0 page 3 Math 3 Practice Test #5

4 0. Simplify What is the simplest form of 5 3 y + 0 y + 0y 3? 5y ( + ) ( + y) + y + 4y. The relationship between the distance d, in feet, required to stop a vehicle and s, the speed in miles per hour that the vehicle was traveling, is given by the equation d = 0.055s f where f represents the coefficient of friction between the tires and the road = 8 (+4)( 5) +4 (+4)(+5) 8 (+4)(+5) It took a car 05 feet to stop. What speed was the car traveling? Use f = 0.3 and round your answer to the nearest mile per hour. 5. Which epression is equivalent to ( + 4)? Which of the following is equivalent to the epression shown below? Which of the following values of makes the proportion below true? 7 4 = page 4 Math 3 Practice Test #5

5 7. Which ( fraction ) ( equals ) the product + 5 3? larissa made 65% of her free throws during basketball games last season. leis made 58% of her free throws during basketball games last season. larissa and leis each attempted f free throws last season. The epression below can be used to find the percentage of free throws larissa and leis made together. ( ) 0.65f f 00 f Which other epression could also be used to find the percentage of free throws both girls made last season? 8. Solve: = 50(65f + 58f ) 50f ( ) Simplify: ( 7) ( 4) ; 3, What is reduced to lowest terms? n equation is shown below = + 8 What is the solution set of the equation? { 7, } { 7, } {, 7} {, 7} page 5 Math 3 Practice Test #5

6 33. company manufactures Vs. The company spent $47,000 to develop its process for manufacturing the Vs. The company spends an additional $.5 to manufacture each V Which function represents the average total cost per V, y, for the company to manufacture total Vs? 34. t the top of the water slide, Jessica sits 00 feet above the ground. She begins her descent and quickly drops to a height of 50 feet while moving only 5 feet forward. She drops to a height of 5 feet upon travelling 5 feet forward, eventually coming to rest feet above the ground at the end of the 45-foot-long slide. Which function models Jessica s entire descent down the water slide? y =.5 y =.5 y = y = , , 000 f () = 00 0 f () = f () = f () = What is the quotient when ( ) is divided by 3? page 6 Math 3 Practice Test #5

7 36. Which epression is equivalent to 4? for What is the solution to the equation below? = Solve: = + { 3} { 5} {} {5} = 4 5 Which of the following is equivalent to the equation shown above? 4. Simplify: + ( 5) = 80 0( 5) = 4 0 = 4( 5) 4 = + ( 5) Simplify to lowest terms page 7 Math 3 Practice Test #5

8 4. oncentration of Medication in the loodstream The effect of certain pain-killing medications can be described by mathematical formulas. octors often use the formulas and their graphs to show how the concentration of medication in the bloodstream changes as time passes. This information can be used to decide when additional doses should be given. In the formulas represented in the following question(s), t represents the time in hours since the medication was given, and represents the concentration of the medication in milligrams per liter of blood. The lood Test Olympic linic lood Test Schedule (ppointment Required) P.M. 5 P.M. P.M. 6 P.M. 3 P.M. 7 P.M. 4 P.M. 8 P.M. n Olympic athlete must have his blood tested for the presence of illegal substances. t 6 P.M. on the evening before the test, an athlete took a prescription medication whose concentration formula is 43. Which epression is equivalent to ? Simplify: ( + 3) ( 4)( 3) c 3cd 4c 3 d c d 3 4cd ( + 3) 3 ( + 3) ( + 4)( 3) c 3c d c c d c d 3cd = 3 t ecause the medication can interfere with the blood test, its concentration must be less than 0.0 mg/l when the athlete s blood is tested. Of the times shown in the lood Test Schedule, what is the earliest time at which the concentration of the medication will be below the required level? Show the mathematics you use to determine your answer ( + 4) ( 3)( + 3) ( + 3)( 3) + 4 ( + 4)( 3) ( + 4)( 3) ( + 3) page 8 Math 3 Practice Test #5

9 46. oncentration of Medication in the loodstream The effect of certain pain-killing medications can be described by mathematical formulas. octors often use the formulas and their graphs to show how the concentration of medication in the bloodstream changes as time passes. This information can be used to decide when additional doses should be given. In the formulas represented in the following question(s), t represents the time in hours since the medication was given, and represents the concentration of the medication in milligrams per liter of blood. Graphing the oncentration 48. If 0, which of the following is equivalent to the epression below? The concentration formula for one of these medications is shown below: = t t 3 + Use the formula to find the missing concentration in the table provided in the answer booklet. Round your answer to the nearest tenth and enter it into the table. Then plot the points and sketch the graph on the grid that is provided in the answer booklet. 49. Solve: = 3 ( + )( ) Step = 3 ( + )( ) Step 7( + )( ) = 3(5 5) Step = 5 5 Step = 0 Step 5 (7 8) = 0 Step 6 = 8 7 or = Step 7 = 8 7 What justifies going from step 6 to step 7 in the solution? = The original equation is defined at = 8 7 and = The original equation is not defined at = The original equation is defined at = The original equation is not defined at = page 9 Math 3 Practice Test #5

10 50. Which value of y makes the proportion below true? y = 8 y + 6 y = y = 3 y = y = 8 page 0 Math 3 Practice Test #5

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