Applications of Rational Functions KL4

Multiply to simplify

• -x+4
• 3x-5
• x+7
• 3x²

Divide to simplify

• 3x+5
• (3x+5)/3x⁴
• 1/3x⁴
• 1/(x-2)

Add to simplify

• (x²+2x+2)/(3x²)(x+1)
• (2x²+2x+2)/(3x²)(x+1)
• (x²+x+2)/(x²)(x+1)
• (x²+x+2)/(3x²)(x+1)

Subtract to simplifry

• (x+1x-x²)/(x²)(x+1)²
• (x+1x+x²)/(x²)(x+1)
• (x+1x-x²)/(x)(x+1)
• (x+1x-x²)/(2x²)(x+1)

With the wind, an airplane travels 1120 miles in seven hours. Against the wind, it takes eight hours. Find the rate of the velocity of the wind.

• 10
• -10
• 60
• -60

Working alone, Sophie can eat a tub of ice cream in five minutes. Annie can eat the same same tub in nine minutes.  If they worked together how long would it take them?

• 14/45 minutes
• 9/5 minutes
• 45/14 minutes
• 5/9 minutes

How many tests that receive a 100 varies inversely on how Mrs. Ferguson’s mood is. (1 being the worst while 1000 feeling the best) There were 41 100’s when Mrs. Ferguson’s mood was at a 615. How many students would receive a 100 if Mrs. Ferguson’s mood was 900?

• 60
• 28.01
• 36900
• 25215

Members of Round rock orchestra are going to play in New York. The trip will cost $2,500 a student and a deposit of $5,000 for the orchestra’s travel. 100 Orchestra members will go and 25 chaperones will attend for free. How much would a student need to pay? (nearest dollar)

• 2550
• 5026
• 2500
• 2684

Solve for x

• -1
• 1
• -1 or1
• No real solutions

Simplify 

• (7x+35)/(5x+16)
• (7x)/(5x+15)
• (7x+35)/(5x-16)
• (7x+35)/5x