Daniel rides to school each day on a path that takes him first to a point directly east of his house and then
from there directly north to his school. How much shorter would his ride to school be if he could walk on a
straight-line path directly to school from his home, instead of east and then north? (1) The direct straight-
line distance from home to school is 17 miles. (2) The distance he rides to the east is 7 miles less than the
distance he rides going north.
Jacob is a salesperson. He earns a monthly salary plus a commission on all sales over $4,000. How much
did he earn this month?
(1) His monthly salary is $855 and his total sales over $4,000 were $4,532.30.
(2) His total sales for the month were $8,532.30.
The formula for compounded interest can be defined as A = p (1 + r)n, where A is the total value of the
investment, p is the principle invested, r is the interest rate per period, and n is the number of periods. If a
$1,000 principle is invested, which bank gives a better interest rate for a savings account, Bank A or Bank
B?
(1) The interest rate at Bank A is 4% compounded annually. (2) The total amount of interest earned at Bank
B over a period of five years is $276.28.
A fence has a square gate. What is the height of the gate?
(1) The width of the gate is 30 inches.
(2) The length of the diagonal brace of the gate is 30 inches.
A circle and a straight line are drawn on the same coordinate graph. In how many places do the two graphs
intersect?
(1) The equation of the circle is x2 + y2 = 25.
(2) The y-intercept of the straight line is 6.
Michael left a city in a car traveling directly west. Katie left the same city two hours later going directly east
traveling at the same rate as Michael. How long after Katie left will they be 350 miles apart?
(1) An hour and a half after Katie left they are 250 miles apart. (2) Michael's destination is 150 miles farther
than Katie's.