Test 1B 2018, questions and answers PDF

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QMS130 Math Skill Test Practice...

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Practice(Test(#1-(Part(B-(SAF(Students(only( ( 1. Find(the(value(s)(of( k (so(that(the(parabola( y = x 2 +4x + 4k (has(two(real(( distinct(roots.( ( ( ( ( ( 2. Solve:(( 3x 2 − x = 2 ( ( ( ( (( ( ( ( ( (((((((((((((((((((((((((((((((((((((( 2 3. (Solve:( 3x − x < 2 ( ( ( ( ( ( ( ( 2 4. Find(the(minimum(value(the(function(defined(by( f (x) = 3x − x − 2 ( ( ( ( ( ( ( ( ( 5. In(a(model(for(ticket(sales(for(the(Ryerson(hockey(team,(it(is(determined(that( 600(tickets(are(sold(when(priced(at($16(per(ticket.(For(each(decrease(of($2(in( the(ticket(price,(100(extra(tickets(are(sold.(Determine(the(price(of(the(ticket(in( order(to(maximize(revenue.(( ( ( ( ( ( ( ( (

( 6. Solve(the(equation( log(x + 9) − 2 log x = 1 ( ( ( ( ( ( ( ( 7. Solve(the(equation( 3x = e x+1 .(Round(answer(to(2(decimal(places( ( ( ( ( ( ( ( ( ( ( ( ( ( 8. Find(the(intersection(point(s)(of(the(graphs(of( f (x) = log 3 (2 x + 3) and g(x) = log 9 (25 x + 6) ( ((((((((((((Leave(answers(exact.(No(rounding.( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( (

( Practice(Test(#1-(Part(B-(SAF(Students(only-(Solutions) ( 1. Find(the(value(s)(of( k (so(that(the(parabola( y = x 2 +4x + 4k (has(two(real,(( distinct(roots.( 2 b − 4ac > 0 4 2 − 4(1)(4 k) > 0 16 −16 k > 0

( 16 > 16k 1> k ∴k...