Download UB SAT 2005

UB SAT 2007-2008
Worksheet #3
Algebra Review
Translate the words into numbers, symbols, expressions, and/or equations, and then find the
particular solution.
1.
2.
3.
4.
5.
6.
7.
8.
9.
What is 30 percent of 20?
2 more than what is 5?
What is 20 less than the product of 5 and 12?
2/3 of what is 10?
What is 6 more than the quotient of 30 and 5?
If x is 4 more than the product of y and 5, what is the value of x when y equals 2?
If 10 percent of x is 50, what is x ?
If the sum of a number and 5 is 21, what is that number?
12 less than the product of a number and 3 is 5 times that same number, what is that
number?
10. 8 more then twice a number is 14, what is that number?
11. If 20 percent of the product between 10 and y is 8, what is the value of y ?
1
12. If
of a number is 4, what is that number?
4
13. What is 10 percent of 50 percent of x, if x equals 20?
14. After x is increased by 22, then halved, and finally decreased by 4, the result is 12.
What is the value of x ?
15. If 30 more than 25 percent of x is 20 less than 75 percent of x , what is the value of
x?
16. What is the value of y , if 5 percent of the product of 20 and y is equal to 13?
17. If x percent of x is 9, what is the value of x ?
18. The sum of three consecutive integers is 51, what are the three integers?
Percent Increase and Percent Decrease. Translate the words into numbers, symbols,
expressions, and/or equations, and solve for y.
19. If increasing y by 10 percent gives 55, what is the value of y ?
20. If decreasing y by 20 percent gives 40, what is the value of y ?
21. If increasing y by 32 percent gives you 6.6, what is the value of y ?
22. The percent decrease from 64 to 48 is equal to what?
23. If increasing y by 20 percent, then decreasing the result by 20 percent gives you 48,
what is the value of y ?
24. When playing the stock market, a stock y first increases by 35 percent, then decreases
by 15 percent and finally decreases by 20 percent. If the stock is now worth $918,
how much was the original investment in stock y ?
25. If a number is increased by 60 percent, then decreased by 50 and the result is 16, what
was the original number?
SAT practice: real sample SAT problems for past tests from the book 10 Real SATs.
7. The number p is 4 more than 3 times the
number r . The sum of p and r is 10. Which
of the following pairs of equations could be
used to find the values of p and r ?
(A) p  3r  4
p  r  10
(B) p  3r  4
pr  10
(C) p  3  r  4 
p  r  10
(D) p  4  3r
p  r  10
(E) p  4  3r
pr  10
12. What percent of 4 is 5?
(A)
(B)
(C)
(D)
(E)
75%
80%
125%
150%
180%
18. The sum of k and k  1 is greater than 9 but
less than 17. If k is an integer, what is one
possible value of k ?
21. If the sum of two numbers is 2 and their difference is 1, what is their product?
25. In a certain shop, items were put in a showcase and assigned prices for January. Each
month after that, the price was 10 percent less
than the price for the previous month. If the
price of an item was p dollars for January,
what was the price for April?
(A)
(B)
(C)
(D)
(E)
0.4 p
0.6 p
0.6561p
0.7 p
0.729 p
7. What number decreased by 6 equals 3 times
the number?
(A)
3
(B)
1
(C) 
2
3
(D)
2
3
(E)
3
4. Carla has 2 more than three times the number of
cassette tapes that Jules has. If C represents
the number of Carla’s tapes and if J represents
the number of Jule’s tapes, which of the following is a correct expression relating C and J ?
(A)
(B)
(C)
(D)
(E)
C  2J  3
C  2( J  3)
C  3J  2
C  3J  2
C  3( J  2)