Name: _____________________________________
Date: ____________________
Alg 1-1
7.1 – 7.3 Review
1. Solve the following systems by graphing.
a.
y  2x  3
3
y   x4
2
b.
y  3x  2
6 x  2 y  4
c.
2 x  4 y  12
1
 x  y  3
2
Name: _____________________________________
Date: ____________________
Alg 1-1
2. Solve each system using substitution.
5x  4 y  5
a.
y  5x
b.
c.
3x  y  4
x  5 y  4
6m  2n  7
3m  n  4
3. Solve each system using elimination.
3 x  4 y  7
a. 
2 x  4 y  8
5m  3n  22
b. 
5m  6n  34
3 x  5 y  10
c. 
5 x  7 y  10
Name: _____________________________________
Date: ____________________
Alg 1-1
4. Solve using the method of your choice.
2 x  y  16
a.
y  2 x
b.
5 x  2 y  10
x  y  2
5. Solve each problem using a system of equations. Be sure to define your variables.
a. Two numbers have a sum of 43. The first number is 5 less than twice the second.
Find the numbers.
b. The length of a rectangle is 21 inches longer than the width. The perimeter is 62
inches. What is the length?
c. Adult tickets at the movie theatre cost $12 while children’s tickets cost $8. An
elementary school took some first grade students on a field trip to see a newly
released movie. 50 people participated in the field trip (chaperones and students).
The school received a bill totaling $424 from the movie theatre. How many
students attended the trip?