Review Problems:
Week 1: Due Friday, 4/27/07
1) A jar of change has $74.65 in it. There are 4 nickels less than twice the amount of dimes and 3
quarters more than triple the amount of dimes. How many nickels, dimes, and quarters are in the
jar?
2) Solve graphically and check:
24x – 12y = 84
y – 2 = -3(x + 3)
3) Solve using the quadratic formula:
6x2 – 1 = 3x
4) Factor:
a) x2 – 5x – 66
b) x2 – 196
c) x2 – 15x + 54
d) 3x2 + 21x + 36
6) Solve algebraically and check:
6x – 5y = 33
7x + 4y = -50
7) Graph the system of inequalities:
13x – 39y > 78
x>4
8) 3|2x - 4| + 15 = -9
-11
a) x2 + 5x – 84
9) Factor:
b) x2 – 36
c) x2 + 18x + 72
d) 5x2 + 45x – 50
Week 3: Due Friday, 5/4/07
Solve the system of equations graphically and check:
1) 24x + 8y = 32
y + 7 = ⅓(x + 3)
2) A 35-minute phone call cost $4.95. Introductory minutes cost $.16/min and additional minutes
are $.11/min. How many minutes were billed at each rate?
3) x + 7
x–5
4)
=
2x + 5
x–2
x2 – 15x +54 .
x2 – 5x – 36
÷
x2 – 13x + 42 .
x2 – 3x – 28
Week 4: Due Friday, 5/11/07
1) Solve algebraically and check:
y = 3x + 11
6x + 5y = 13
2) Find 4 consecutive integers such that 5 times the 2nd is 285 more than the sum of the 3rd and the
4th.
3) Solve using the quadratic formula:
2x2 – 5x = 7
4) Factor:
a) x2 – x – 552
b) 4x2 – 81
c) x2 – 13x + 42
d) 2x2 + 18x + 36
Week 5 Due Friday, 5/25/07:
1) Solve graphically and check:
y + 3 = (-3/2)(x + 2)
3x – 12y = -96
2) There are 170 coins in a jar. Some of them are quarters and some of them are nickels. If there is
$16.30 in the jar, how many of each coin are there?
8x2 + 3x – 5
3) Factor: Case II
4) 3|7x + 14| - 2
5
= 29
5) Solve algebraically and check:
5x – 12y = -8
7x + 8y = -98
6) Find 5 consecutive odd integers such that 3 times the 1st is 87 more than the sum of the 3rd and
the 4th.
7) Graph the system of inequalities:
64x – 32y > 32
y < -5
8) Factor:
a) x2 + x - 72
b) 64x2 – 49
c) x2 + 19x + 88
d) 6x2 - 6x + 180
Week 6 Due Friday, 6/1/07:
1) Solve the system graphically and check:
21x + 7y = 49
13x – 26y = 182
2) Put find the equation of each line in slope intercept form and graph (all 3 lines on 1 set of axis).
a) (3,5) (-6, -1)
b) (2,5) (2,-5)
c) (-4,7) (2,7)
3) A jar of change has $90.15 in it. There are 6 less dimes than twice the nickels. There are 3 more
quarters than 4 times the amount of nickels. How many nickels, dimes, and quarters are in the jar?
(There are no pennies.)
4) Factor:
a) x2 -3x - 54
b) 25x2 – 100
c) x2 + 25x + 144
d) x2 + 13x – 14
5) Solve the system algebraically and check:
x = 4y – 3
7x – 9y = 55
6) Graph the inequality:
30x – 45y < 135
7) x + 10
x–5
=
2x + 4
x–2
8) Find 4 consecutive odd integers such that the quadruple the 2nd is 116 less than the sum of the 3rd
and 4th.
Week 7: Due Friday, 6/8/07
1) Solve the system of equations graphically and check:
21x + 7y = 49
13x – 26y = 182
2) Solve the system algebraically and check:
11x – 4y = -43
9x + 6y = -114
3) 3|7x + 21| - 1 = 67
2
4) A snack stand at Yankee Stadium sells sodas for $4.25 and hot dogs for $5.50. During one game
the stand sold 26 more hot dogs than twice the amount of sodas. If the total sales for sodas and hot
dogs was $2,920.50; how many of each item were sold?