Download Math 60 ~ Test 1 Review

Math 60 ~ Test 1 Review
2
3
and d  6 compute the following.
1. Given a   , b  4, c 
3
2
a. d  a 2  c 2 
b. d  c  4  b  a 
2
c.
9
b
c  a
2  d  b
d
2. Write each of the following using symbols.
a. One half the product of the height h and the sum of two unequal sides b1 and b2 .
b. The quotient when 7 less than a number is divided by 3.
c. The sum of the square of a number and three times the same number divided by 1 more than that
number.
3. Lesley has $782 in her account. She wrote a check for d dollars. Write an expression for the amount
of money remaining in her account.
4. The length of a pool is 4 more than three times its width. Find an algebraic expression representing
the perimeter of the pool.
6
5. Find an expression for the perimeter of the given object. Simplify
4 x 2  3x  2
x
2
2x 2
8x  2
6. Find the difference of 3 p 3 
2 2
5
p  9 and 4 p 3  p 2  p .
3
3
7. Subtract the sum of 3 y 2  3 y and 5 y 2  3 y from 2 y 2  8 y .
8. The revenue for selling y units is R  3 y 2  2 y  5 and the cost of producing y units is C  y 2  y  3 .
Find an expression that represents profit.
9. Use the roster method to list the elements in each set then plot on a number line.
a. The set of all prime numbers between 20 and 40.
b. The set of integers greater than 2 and les than or equal to 8.
10. Use set builder notation, interval notation and a number line to describe each set.
a. The set of all real numbers greater than or equal to 54 .
2
b. The set of all real numbers less than  .
3
c. The set of all real numbers between 3 and 3.87.
11. Let A  1, 2,3, 7,9,11 , B   x x is an even whole number less than 10 , and
C   x x is a composite whole number greater than 1 and less than or equal to 14 .
a. Find A   B  C  .
b. Find  B  C   A