Solve Systems
Solve the system of equations.
y=x+2
y=3x-2
(2,4)
Solve for w.
4w-6=10
w=4
Which property was used below?
3(x+4)=3x+12
Distributive Property
Solve for x.
ax+by=c
x=(c-by)/a
Write a system of equations.
Kristin bought three pairs of shoes and 6 shirts for $37.89. Taylor went to the same store and bought 5 pairs of shoes and 2 shirts for $42.25.
3x+6y=37.89
5x+2y=42.25
Solve the system of equations.
y=x+6
y=-2x-3
(-3,3)
Solve for w.
10+3w=25
w=5
What does the word inverse mean? What is the additive inverse of 5?
Opposite. -5 is the inverse
Solve for c.
d=c/pi
c=pid
Write the system only.
Elisa has 18 coins that are only quarters and nickels. She has a total amount of $1.40. Write a system of equations.
q+n=18
.25q+.05n=1.40
Solve the system.
y=(-5x-7)/4
-5x-2y=1
(1,-3)
Solve for j.
j/3+5=9
j=12
Describe what the commutative property is.
Numbers can be added or multiplied in any order.
Solve for b.
A=(a+b)/2
Miguel and James are buying snacks. Michael buys 2 bags of chips and 1 jar of salsa and spends $8.90. Jim buys 4 bags of chips and 3 jars of salsa and spends $19.70.
Bag of chips = $3.50
Salsa = $1.90
Explain how you solve a system of equations.
Put both equations in y= form.
Enter into the solver.
Substitute x value into one of the equations.
Write final answer as a point.
Solve for r.
-3(4r-8)=-36
r=5
Write an example of the Identity Property of Addition.
Solve for c.
E=mc^2
c=sqrt(E/m)
Tyshone spent $131 on a total of 7 shirts. Dress shirts cost $28 and t-shirts cost $15. How many of each shirt did he buy?
2 Dress shirts and 5 t-shirts
8x+3y=13
3x+2y=11
(-1,7)
Solve for k.
-4k+2(5k-6)=-3k-39
k=-3
Which property is used below?
7 + (3x +8)=(7+3x)+8
Associative Property of Addition
Solve for t.
A=p(1+rt)
t=(A-p)/(pr)
FINAL JEOPARDY: PLACE YOUR BETS