Rex is four times as old as Ted. If the sum of their ages is 30, how old is Ted?
Answer(s): D
The ratio of Rex’s age to Ted’s age is 4:1; the sum of their ages can be divided by the total number of units in this ratio, 5. This indicates that Rex is 24 and Ted is 6.
On a real number line, x = -4 and y = 7. What is the length of the line XY?
Answer(s): A
Measure the length of the line by adding the respective distances of each value from zero.
Reggie has enough flour to last for 40 days. If he increases his use of flour by 25%, however, how many days’ worth of flour will he have?
Answer(s): C
Reggie will be using flour at 5/4 the normal rate. Since the amount of flour used is inversely proportional to the amount of time it takes to go through the flour, the duration can be found by multiplying 40 by the inverse of 5/4, or 4/5.
If x = 3 and y = -1, then 3x2 + 2xy – 5 = ?
Answer(s): E
Substitute the given values into the equation, and then remember to observe the order of operations.
8.5 x 9.07 =
Remember that since the terms of the problem have three units to the right of the decimal point, the answer will as well.
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