Rational Expressions - long questions
Name: ' ID: A 17. (1 point) Courtney and Kurtis are planning to travel 60 km in a car by travelling at x kilometres per hour for the rst half of the distance, and then increasing their speed by 5 km/h to finish the distance. Which is the correct simplied expression for the total time of the trip? 30x+ 150 C 30x+ 150 x(x+5) ' 2x+5 60x +150 60x+ 150 B' 2x+5 D' x(x+5) Numeric Response 1. (1 point) 20h2 Determine the sum of the non-permissible values for the rational expression 2-. 5h[1 h ) {Record your answer in the numerical response box from left to right. ) 2. (1 point) Solve the following equation for x. x + 10 _ 3 ' x + 2 _ (Record your answer in the numerical response box from left to right.) Name: ID: A 3. (1 point) Adele bought a case of concert T-shirts for $600. She kept ve Tshirt for the band and sold the rest for $700, making a prot of $5 on each T- shirt. How many T shirts did she sell? If x represents the number of T- shirts list in order the statements that represent the number of T- shirts sold the purchase price of the Tshirts and the selling price of the T shirts. 700 600 (Record your answer in the numerical response box from left to right.) 4. (1 point) Two cars travel to Edmonton at the same time. Car A travels 240 km in the same time it takes Car B to travel 180 km. Car A travels an average of 25 km/h faster than Car B. A rational equation that relates the average 240 180 speeds of the two cars is: v+ +25 2 v- Where 12 kilometres per hour 15 the average speed of Car B. Determine the average speed of the fastest ca1, to the nearest kilometre per hour. (Record your answer in the numerical response box om left to right.) Name: ID: A Problem 1. (3 points) Alma caught an earlier bus to school. She noticed that she travelled the 12 km route 15 min faster than usual. a) Write a rational expression for her speed in km/h. b) State the restrictions on the expression you wrote for part a). 2. (2 points) Nancy's Lawn Care specializes in residential lawn cutting and fertilizing. Nancy, the owner, has tracked his income and expenses. She has determined that her prot can be represented by the expression $5A, where A is the area of a lawn in square metres. The time, in hours, that it takes her to maintain a lawn is approximately 0.05A + 0.25. 3) Write a rational expression for Nancy's prot per hour. b) Evaluate the rational expression you wrote in part a) for a lawn with an area of 90 m2. Name: ' ID: 3. (3 points) Simplify 40\" .nZ 6112 3 24723 . Show your work. State the non-permissible values as restrictions on the variable. 4. (2 points) 2712 _ l 712 1+\"3 3 Simplify . Show your work. 1+n
