| Substitution | Complex Variable Problems | Combining Like Terms | Word Problems | Final Jeopardy |
|---|---|---|---|---|
|
(2,1)
Solve
y=6x−11 −2x−3y=−7 |
x=14
Solve for x
x-4=10 |
x+y=16
x-y=4
The sum of two numbers is 16. The difference is 4. Write a system of equations for this situation.(Use x for the first number and y for the second number)
|
k
Simplify
−6k+7k |
|
|
(1,2)
Solve
y=−3x+5 5x−4y=−3 |
x+y=28
.10x+.05y=2.05
You have 28 coins that are all nickles and dimes.The value of the coins is $2.05. Write a system of equations for this situation.(Use n for nickels and d for dimes)
|
10n-13
Simplify
n−10+9n−3 |
x=7
Solve for x
2x-4=10 |
|
|
(2,3)
Solve
y=5x−7 −3x-2y=−12 |
a+c=2200
4a+1.5c=5050
The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5050 is collected. Write a system of equations for this situation.(Use a for adults and c for children)
|
-19x
Simplify
−8x−11x |
x=-1
Solve for x
5x-6=3x-8 |
(6,2)
Solve
y=-2x+14 1.5x-3.5y=2 |
|
(-4,3)
Solve
−3x−3y=3 y=−5x−17 |
2t+5f=145
t+f=50
An exam worth 145 points contains 50 questions. Some of the questions are worth two points and some are worth five points. Write a system of equations for this situation.(Use f for five point questions and t for two point questions)
|
4x+11
Simplify
−2x+11+6x |
y=16
Solve for y
3y+2=5(y-6) |
|
|
(-3,-6)
Solve
−4x+y=6 −5x−y=21 |
2x+3y=80
x+y=37
The Lakers scored a total of 80 points in a basketball game against the Bulls. The Lakers made a total of 37 two-point and three-point baskets. Write a system of linear equations for this situation.(Use x for two pointers and y for three pointers)
|
2n+18
Simplify
−5n+3(6+7n) |
x=-8
Solve for x
2x-6=5x+18 |
|
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