Exam 4: Formulas and Problem Solving

Set up an equation and solve the following problem. A sum of $6,600 is invested, part of it at 8% interest and the remainder at 17%. If the interest earned by the 8% investment is $160 less than the interest earned by the 17% investment, find the amount invested at 8% rate. $ __________

Set up an equation and solve the following problem. Pam is half as old as her brother Bill. 6 years ago Bill was 4 times older than Pam. How old is Pam now? __________ years old

Solve the equation for x . $\frac { x - 3 } { 9 } = \frac { y - 2 } { 6 }$

Solve the equation for x . $4 x + 7 y = 13$

A dirt path 1 feet wide surrounds a rectangular garden that is 26 feet long and 29 feet wide. Find the area of the dirt path.

Solve the following equation. Your calculator might be of some help. 2.8( x + 4.5) = 15.96

Solve the following equation. Your calculator might be of some help. 1.4 x + 8.7(235 $-$ x ) = 2,999.8

62.48 is what percent of 71?

How long will it take $200 to triple itself if it is invested at 2% simple interest?

A retailer has some toe rings that cost him $5 each. He wants to sell them at a profit of 40% of the cost. What should be the selling price of the toe rings?

Solve d = rt for t , if d = 180 and r = 20. t = __________

An inheritance of $180,000 is to be divided between a child and the local cancer fund in the ratio of 2 to 3. How much money will the child receive? $__________

Solve the equation. 0.3(10) $-$ x = 0.5(20 $-$ x )

Jesse used 5 gallons of gasoline to drive 75 miles. How much gasoline will he need to travel 240 miles?

Simple interest formula. Solve the formula for t . A = P + Prt

If the ratio of the width of a rectangle to its length is $\frac { 4 } { 9 }$ and the length is 72 centimeters, find the width. __________ centimeters

Solve the equation for x . $y = - 2 x - 5$

Perimeter of a rectangle. Solve the formula for w . P = 2 l + 2 w

Solve the equation. 0.3(30) $-$ 0.8 x + x = 0.1(40)

Profit is always a percent of the selling price.