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Algebra 2
Writing Systems of Equations
WKST 4.3
Name:
Date:
Period:
Directions: Write a system of equations, then use any of the three methods to solve.
1.
The sum of a certain number and a second number is 24. The first number minus the
second is 40. Find the numbers.
2.
The sum of two numbers is 28. Their difference is 4. What are the two numbers?
3.
The difference between two numbers is 3. Three times the smaller plus two times the larger
is 31. What are the numbers?
4.
The difference between two numbers is 11. Twice the smaller number plus three times the
larger number is 123. What are the numbers?
5.
Angles A and B are complementary. If Angle B is 4 degrees more than Angle A, find the
measure of each angle.
6.
The measure of one of two supplementary angles 8 degrees more than three times the other.
Find the measure of the larger of the two angles.
7.
The perimeter of a rectangle is 220 m. The length is 56 m greater than the width. Find the
length and the width.
8.
The length of Maggie’s garden is 4 meters greater than 3 times the width. The perimeter of
her garden is 72 meters. What are the dimensions of Maggie’s garden?
9.
At a school play 129 tickets were sold. Adult tickets cost $1.50 and children’s tickets cost
$0.75. In all, $153 was taken in. How many of each kind of ticket were sold?
10.
At Joe’s Pizza, a soda and two slices of pizza cost $10.25. A soda and four slices of pizza
cost $18.75. How much does one soda and one slice of pizza cost?
11.
Gabe gave his baby sister 15 coins that consisted of quarters and dimes. She used the
$2.55 her brother gave her to buy herself an ice cream cone. How many quarters and
dimes did she receive from her brother?
12.
Ricky found a 25 coins of nickels and dimes under a tree. After picking up the coins he
realized he found $1.90 and could buy himself a soda at the next football game. How
many nickels and dimes did he find?
13.
Michael is 4.5 years older than Steven. Three times Michael’s age added to six times
Steven’s age is 36. How old Michael and Steven?
14.
Morgan is 9 years older than her brother JP. Six years ago JP was 1 2 as old as Morgan.
How old are they now?
No credit will be given for work not shown in your notebook.
ANSWER KEY
1.
 x  y  24

 x  y  40
32,  8
2.
 x  y  28

x  y  4
12 and 16
3.
x  y  3

3 y  2 x  31
4.
 x  y  11
29 and 18

2 y  3x  123
5.
 A  B  90

B  A  4
6.
 x  y  180
137o

x

3
y

8

7.
2 x  2 y  72

 x  y  56
Length: 83m; Width: 27 m
8.
2 x  2 y  72

 y  3x  4
28 meters by 8 meters
9.
 x  y  129

1.50 x  0.75 y  153
5, 8
43 , 47
Adults: 75; Children: 54
10.
 x  2 y  10.25

 x  4 y  18.75
11.
q  d  15
7 quarters and 8 dimes

0.25q  0.10d  2.55
12.
n  d  25
12 nickels and 13 dimes

0.10d  0.05n  1.90
13.
 x  4.5  y

3x  6 y  36
14.
M  J  9


1
 J  6  2  M  6 
$1.75 per soda and $4.25 per pizza slice
Michael is 7 years old and Steven is 2.5 years old.
Morgan: 24; JP: 15