Exam 3 Review
MTH 120 Beginning Algebra
Chapters 5 and 6
1) Solve
the system below using each of the following methods:
Chapters 5 and 6
1) Solve
the system below using each of the following methods:
a) Addition
b) Substitution
c) Graphing
2) Write
each equation in slope-intercept form.
Then determine, without solving the system, whether the system has
exactly one solution, no solution, or an infinite number of solutions.
3) Kaitlyn
went to the bulk food store for candy.
She bought some Tootsie Rolls, which cost 10¢ a piece, and some Jolly
Ranchers, which cost 5¢ a piece.
Altogether, she bought 21 pieces of candy and spent $1.35. How many of each kind of candy did she buy?
4) A
plane flies 600 miles per hour with the wind and 530 miles per hour against the
wind. Find the speed of the wind and the
speed of the plane in still air.
5) Moura
Hakala invested a total of $16,000. Part
of the money was placed in a savings account paying 4% simple interest. The rest was placed in a savings account
paying 6% simple interest. If the total
interest received for the year was $760, how much had she invested in each
account?
6) Green
Turf’s grass seed costs 60¢ per pound and Agway’s grass seed costs 45¢ per
pound. How many pounds of each were used
to make a 40-pound mixture that cost $20.25?
7) The
Modern Grocery has cashews that sell for $4.50 per pound and peanuts that sell
for $2.50 per pound. How much of each
must Albert, the grocer, mix to get 80 pounds of a mixture that he can sell for
$3.00 per pound.
8) Determine which, if any, of the ordered
pairs satisfy the system of equations.
a) 
b) 
c) 
9) Solve the system of equations by the method
of your choice.
Simplify each expression.
10) 
11) 
12) 
13) 
14) 
15) 
16) 
17) 
18) Convert
each number to scientific notation. Then
calculate. Express your answer in
scientific notation.
Perform the indicated
operations.
19) 
20) 
21) 
22) 
23) 
24) 
25) 
Math 120 Exam #3 Review - Chapters 5 and 6 Answer Key
1a) 
Multiply the top
equation by 2.
1b) 
1c) The
lines cross at the point 
.
2) 
They are the same line, so there are
infinitely many solutions… and point on
3) t
= number of Tootsie Rolls
j
= number of Jolly Ranchers
6 Tootsie Rolls,
15 Jolly Ranchers
4) w
= speed of the wind
p
= speed of the plane
The speed of the plane is 565 mph, and the
speed of the wind is 35 mph.
5) x
= the amount invested at 4%
y
= the amount invested at 6%
$10,000 invested at 4%
$6,000 invested at 6%
6) g
= amount of Green Turf seed
a
= amount of Agway seed
15 pounds of Green Turf seed
25 pounds of Agway seed
7)
+ + =
lbs. of cashews
lbs. of peanuts
8) c) is a solution.
a) and b) are not
solutions
9) 
10)
11)
=
12)
13)
14)
15)
16)
17) 
18)
19)
20)
21)
22)
23) Answer: 
Work Below:
24)
25)
