MAT204 – Calculus I
Algebra Review #1
Reminder: Each problem will be graded on the “correctness” of the answer. (First I
check the answer, then the work.) You must score 70% or higher to get credit for
the assignment. This means you either get 0% or 100%! Work must be done on
separate sheets and must follow the rules of homework. This review is due next
Friday.
1. Solve each equation:
a. 2x 4  x 2  0
x
1
2
 3 2
x 2 x
x  2x
2 / 3
c. (x  3)
 2(x  3) 1 / 3  3  0
b.
d.
x  3  3x  10  1
2. Perform each operation. Give the answer in standard form (a + bi).
a. (5 – i)(3 + 4i)
b. (12  i ) /(2  5i )
3. To make a special mix, the owner of a fruit and nut stand wants to combine
cashews that sell for $7.00 per lb with walnuts that sell for $5.50 per lb to
obtain 35 lb of a mixture that sells for $6.50 per lb. How many pounds of
each type of nut should be used?
4. A projectile is launched straight up from ground level. After t seconds its
height s, in feet above the ground, is given by s  220t  16t 2 .
a. At what times is the projectile exactly 750 ft above the ground?
b. At what times does it hit the ground?
c. What is the maximum height the projectile will attain?
5. Solve each inequality. Give the answer using interval notation.
a. -9x < 4x + 7
b. x2 + 4x > 21
c. -8 > 3x – 5 > -12
d.
3
5

x 1 x 3