### Chapter 6 Test Review

```Chapter 6
Test Review
Algebra 1: 2/13/2013
11. Graph to Solve
2x – 3y = -6 and y = -3x + 2
12. Graph to Solve
-3x + y = -3 and y = x - 3
13. Graph to Solve
x + 2y = 6 and 3x + 6y = 8
14. Graph to Solve
3x + y = 5 and 6x = 10 – 2y
15. MAGIC NUMBERS: Sean is
trying to find two numbers with a
sum of 14 and a difference of 4.
Define two variables, write a
system of equations, and solve
by graphing.
17. Substitution to Solve
x + 3y = -28 and y = -5x
18. Substitution to Solve
3x + 2y = 16 and x = 3y - 2
19. Substitution to Solve
x – y = 8 and y = -3x
20. Substitution to Solve
y = 5x – 3 and x + 2y = 27
22. GEOMETRY: The perimeter of
a rectangle is 48 inches. The
length is 6 inches greater than
the width. Define the variables
and write equations to represent
this situation. Solve the system by
using substitution.
27. Elimination to Solve
6x + y = 9 and -6x + 3y = 15
28. Elimination to Solve
x – 4y = 2 and 3x + 4y = 38
29. Elimination to Solve
2x + 2y = 4 and 2x – 8y = -46
30. Elimination to Solve
3x + 2y = 8 and x + 2y = 2
31. BASEBALL CARDS: Cristiano
bought 24 baseball cards for \$50.
One type of card costs \$1 per
card, and the other cost \$3 per
card. Define the variables, and
write equations to find the
number of each type of card he
bought. Solve by using
elimination.
36. Elimination to Solve
8x – 3y = -35 and 3x + 4y = 33
37. Elimination to Solve
2x + 9y = 3 and 5x + 4y = 26
38. Elimination to Solve
-7x + 3y = 12 and 2x – 8y = -32
39. Elimination to Solve
8x – 5y = 18 and 6x + 6y = -6
40. BAKE SALE: On the first day a
total of 40 items were sold for
\$356. Define the variables and
write a system of equations to
find the number of cakes and
pies sold. Solve by using
elimination.
Bake Sale
Pies
\$ 10
Cakes
\$8
51. Graph to Solve
x > 3 and y < x + 2
52. Graph to Solve
y < 5 and y > x - 4
53. Graph to Solve
y < 3x – 1 and y > -2x + 4
54. Graph to Solve
y < -x – 3 and y > 3x - 2
```