Download ACADEMIC ALGEBRA II ** REVIEW WS: Sec. 3.1 to 3.4 ** NAME

ACADEMIC ALGEBRA II
** REVIEW WS: Sec. 3.1 to 3.4 **
NAME:
Solve each system of equations by graphing. If applicable, state the solution as an ordered pair.
4. y = 4x + 1
y= x+4
5. y = 3x - 3
y = -x + 5
6. y = 3x – 4
y = 3x + 2
7. 3x + y = 5
-2x + y = -5
8. –x + y = -5
2x + y = 4
9. y = -
1
x+1
3
2x + 6y = 6
10. Hair Salon A hair salon receives a shipment of 84 bottles of hair conditioner to use5 and sell to customers. The two
types of conditioners received are type A, which is used for regular hair, and type B, which is used for dry hair. Type A
costs $6.50 per bottle and type B costs $8.25 per bottle. The hair salon's invoice for the conditioner. is $588. Write the
system you would use to find how many of each type of conditioner are in the shipment.
Let x =
Equation 1:
y=
Equation 2:
Solve the system by the substitution method. If applicable, state the solution as an ordered pair.
11.
y = -2x + 19
y= x +7
13. 2x + 5y = -6
4x + y = -12
12. y = -3x – 4
3x + y = -4
14. x = -y + 2
3x + 3y = 12
Solve each system by the elimination method. If applicable, state the solution as an ordered pair.
15.
17.
3x + 2y = 10
6x + 4y = 20
16.
18.
2x – 3y = 6
6x – 9y = 9
Solve the system using any algebraic method. If applicable, state the solution as an ordered pair.
19.
20.
21.
Graph the system of inequalities.
22.
25.
27.
23.
24.
26.
28. Solve the system using the elimination method. If applicable, state the solution as an ordered triple.
a.)
-4x + 2y + 4z = 8
-3x + 3y + z = 2
-2x + 4y -2z = -4
b.)
x + y + 2z = 7
2x + 2y + 4z = -6
x + y + 2z = 1
c.)
4x + 4y + z = -6
-3x + 2y + z = 3
x + 2z = 3
d.)
2x + y + 2z = 16
x + 3y – z = 37
4x – y + 3z = 4