This is just a division problem: How many times will 8 (eggs) go into 175 (the total number of eggs to be sold)? We calculate
175 divided by 8 is 21 with a remainder of 7. There will be 7 eggs left over.
G
Because AB = BC, this must be an isosceles triangle. Therefore angle A must also be p°. Adding the three angles results in 90
+ p + p = 180, or 2 p = 90, or p = 45.
68.
D
When you multiply the two fractions, you get which is very close to which reduces to
69.
J
You could add each answer choice in both ways to get (J) by process of elimination, or you can see the pattern: (J) is the only
choice that has one number with a units digit that is less than 5 and one number with a units digit that is at least 5.
70.
D
Canceling terms quickly brings us to our answer. Cancel the 5 in the numerator of the first fraction and the 5 in the
denominator of the third fraction. Then cancel a 3 in the numerator of one of the last two fractions with the factor 3 of 3 × 4 =
12 in the denominator of the first fraction. We are left with
71.
J
Remember, of means multiply and is means equals. Hence, we have Reduce to Now our equation is
so you can multiply both sides of the equation by 4, leaving x = 120(4) = 480.
72.
C
We can begin by noticing the numerator and denominator are even and thus both are divisible by 2, leaving us with Use
the division by 2 again: and again: and one more time:. Then 41 is a prime number, so the fraction can no
longer be reduced.
73.
G
Moving the decimal 2 places to the left yields 2.718, and because we moved the decimal 2 places to the right to get 0.02718,
we multiply by 10 −^2.
74.
E
Simply substitute the values given for x and y: [5(2) − (−3)(2)]^2. PEMDAS (order of operations) tells us Parentheses must be
done first and Multiplication must come before Subtraction: [5(2) − (−3)(2)]^2 = [10 − (−6)]^2 = (10 + 6)^2 = 16^2. Now that the
parentheses are gone, multiply 16 by itself. 16 × 16 = 256.
75.
76. J
