1. Sam ordered 3 items for his dinner at Melissa's resturant. The fish was
3 times the cost of the drinks. The side order of baked potatoe was $.99.
Which of the following can be derived from the above information?
(A) The cost of the meal
(B) The cost of the fish
(C) The cost of the drinks
(D) The amount of tax for the meal
(E) none of these
2. Sam is one year older than his sister Sally. Susie is one year
younger than Sam. Sally, born in 1983 is younger than Susie.
What can be approximately calculated?
(A) Only Sally's age?
(B) Only Sally's age and Susie's age?
(c) Only Sally's age and Sam's age?
(D) Sally's age and Susie's age and Sam's age?
(E) Only Susie's age?
3. Sam announced that last years final balance for the science club was
$10. He then said, "our current balance is $5 less than last years final
balance."
How should Sam's friend Larry figure out what the current balance is?
(A) subtract $5 from $10?
(B) Divide $10 by two?
(C) Add $10 and $5, then divide by 3?
(D) Divide $10 by $5, then multiply by $2, then add $1.
(E) Subtract $2, Divide by 2, then add $1.
4. Sam took 4 exams, but the last exam was weighted double. Sam knows that
he made 83% on the first exam, 85% on the second exam, and 100% on the
third exam. Sams average grade, with the 4th exam weighted double, was
90%. What equation would Sam solve to find what grade he made on the 4th
exam?
(A) ( 83 + 85 + 100 + x) = 90
(B) ( 83 + 85 + 100 + x + x ) = 90
(C) ( 83 + 85 + 100 + x )/4 = 90
(D) ( 83 + 85 + 100 + x + x )/4 = 90
(E) ( 83 + 85 + 100 + x + x )/5 = 90
5. Let P = 10 and Q = 25. Then which of the following is 11 times 25?
(A)PQ + 1
(B) P (Q + 1)
(C) Q (P + 1)
(D) (P + 1)(Q + 1)
(E) P (Q + 10)
6. Sam multiplied (x+1) and (x+2) to get x^2 + 3 x + 2.
A way to verify the correctness of the multiplication is:
(A) Do 3 verifications using 3 different values for x. For example,
verify that
(0 + 1) ( 0 + 2) = 0^2 + 3 (0) + 2
and that
(1 + 1)(1 + 2) = 1^2 + 3 (1) + 2
and that
(-1 + 1)(-1 + 2) = (-1)^2 + 3(-1) + 2
(B) Square (x + 1)
(C) square (x + 2)
(D) Say it must be right because Sam never makes a mistake.
(E) Use reciprocals
7. Sally tells Sam, "I am thinking of two numbers. Their sum is one of
the two numbers."
What is an algebraic equation representing Sally's statement?
(A) X + Y = Y + X
(B) X Y = 1
(C) X + Y = 1
(D) X + Y = Y
(E) X + Y = X + 1
8. Sam attended his cousin's birthday. Sam asked his cousin, "Mark, how
old are you?"
Mark replied, "Sam, I know you are 30 years old. A year ago you
were three years younger than twice my current age."
What equation would Sam solve to find Mark's age?
(A) 30 + 1 = 2 M - 3
(B) 30 - 1 = 2 M - 3
(C) 30 + 1 = 2 M + 3
(D) 30 - 1 = 2 M + 3
(E) 30 - 1 - 3 = 2 M
9. A toy helicopter costs H dollars, and a child's computer cost 5 times
the price of the toy helicopter. Which of the following is the best
description of the cost of three toy helicopters and two child's
computers?
(A) 2H
(B) H + 4 H
(C) 3 H + 2 H
(D) H + 2 ( 5 H )
(E) 3 H + 2 ( 5 H )
10. Sam sees a rectangle that is 18 by 22. He wants to compute the area
of a square that has the same perimeter. Which of the following
procedures will give the correct answer?
(A) Add 18 and 22, double this sum, divide by 4, then multiply by 2.
(B) Add 18 and 22, double this sum, divide by 4, then multiply by 4.
(C) Add 18 and 22, double this sum, divide by 4, then square the quotient.
(D) Add 18 and 22, double this sum, then multiply by 4.
(E) Add twice 18 to twice 22, divide by 2, then square the quotient.