Chapter 3 Homework
Part 1
1) Determine if the point (3, −7) is a solution to the system
2 +
= −1
−
= 13
.
+ =4
= +2
3) Fill in the blank: When we are graphing to solve a system of two equations, if there is
no solution, the lines will be
.
2) Solve the system by graphing:
Part 2
5 −2 =4
= −2
= +2
5) Solve using the substitution method:
− =8
− 3 = −2
6) Solve using the substitution method:
7 −4 =6
2 +5 =8
7) Solve using the elimination method:
6 − 5 = 10
3 −5 =9
8) Solve using the elimination method:
5 − 3 = −1
4 − 7 = 18
9) Solve using the elimination method:
9 + 14 = 40
1.5 − 3 = −2
10) Solve using the elimination method:
3 +4 =6
− 2 = 16
11) Solve using the method of your choice:
+3= 3
5 −9 =7
12) Solve using the method of your choice:
7 − 3 = −5
10 + = 306
13) Solve using the method of your choice:
10 + = 90
6 −3 =3
14) Solve using the method of your choice:
4 −2 =2
+2 =8
15) Solve using the method of your choice:
=4−2
2.1 − 0.9 = 15
16) Solve using the method of your choice:
−1.4 + 0.6 = 10
4) Solve using the substitution method:
17) Solve using the method of your choice:
−
= 10
+
=8
18) Solve using the method of your choice:
+
−
=7
= −4
Part 3
19) Mr. Simone deposits $8000 in one simple interest account and $2000 in a second simple
interest account. The interest rate on the $8000 account is 2% more than the rate on the
$2000 account. If the total yearly amount of interest on the two accounts is $578, find the
interest rate on each account
20) A company sells pistachio kernels for $10.00 per pound and almonds for $8.00 per
pound. How much of each type should be used to make a 50-lb mixture that sells for
$8.80 per pound?
21) Each course at Pease County Community College is worth either 3 or 4 credits. The
members of an athletic team are taking a total of 48 courses that are worth a total of 155
credits. How many 3 credit courses and how many 4 credit courses are being taken?
22) John jogs and walks to school each day. He averages 4km/h walking and 8 km/h jogging.
From home to school is 6 km and John makes the trip in 1 hr. How far does he jog in a
trip?
Part 4
23) Graph the system of inequalities and find the coordinates of any vertices formed:
≤2 −3
≥ −2 + 1
≤5
24) Graph the system of inequalities and find the coordinates of any vertices formed:
8 + 5 ≤ 40
+2 ≤8
≥0
≥0
25) Solve the following linear program.
= 2 + 14
:
5 + 3 ≤ 34
3 + 5 ≤ 30
≥0
≥0
Part 5
26) It takes Cosmic Stitching 2 hr of cutting and 4 hr of sewing to make a knit suit. To make
a worsted suit, it takes 4 hr of cutting and 2 hr of sewing. At most 20 hr per day are
available for cutting and at most 16 hr per day are available for sewing. The profit on a
knit suit is $68 and on a worsted suit is $62. How many of each kind of suit should be
made in order to maximize profit?