Graphing
Substitution
Elimination
When Will I Use This?
Helpful Potpourri
100
How do you find the answer to a system when graphing?
Look for the intersection of the lines
100
Solve the systems of equations using substitution:
-3x + 4y = -2
y = -5
(-6, -5)
100
Solve the systems of equations using Elimination:
14x + 2y = 26
-14x - 6y = -50
(1, 6)
100
Alex and Bill have a combined age of 31. Bill is 4 years older than twice Alex's age.
Determine Alex's age and Bill's age.
Alex is 9 years old
and
Bill is 22 years old
100
What is a coefficient?
The number in front of a variable
200
What is the solution to the system graphed below?
(-3, -3)
200
Solve the systems of equations using substitution:
-5x - 5y = 10
y = -4x -17
(-5, 3)
200
Solve the systems of equations using Elimination:
-3x - 5y = 2
3x + 5y = 7
No Solution
200
There is a collection of 60 coins, a mixture of nickels and dimes. The number of nickels is three times the number of dimes.
Determine the number of nickels and the number dimes in the collection.
45 nickels
and
15 dimes
200
What strategy would you use and explain why?
14x + 2y = 26
-14x - 6y = -50
elimination because the coefficients of x will cancel out.
300
What is the solution?
(-1,1)
300
Solve the systems of equations using substitution:
y = -2x - 9
3x -6y = 9
(-3, -3)
300
Solve the systems of equations using Elimination:
-6x - 10y = 4
6x + 10y = -4
Infinitely Many
300
While on the farm, Big Al counts 30 animals, all pigs or chickens. He see 88 legs.
Determine the number of pigs and chickens Big Al sees on the farm.
14 pigs
and
16 chickens
300
What graph does a system of equations with one solution look like? (use words, not images)
intersecting lines
400
What is the solution to the system of equations below?
No Solutions
400
Solve the systems of equations using substitution:
-8x - 5y = -24
y = x+ 10
(-2, 8)
400
Solve the systems of equations using Elimination:
x + 8y = 2
3x + 4y = 26
(10,-1)
400
At the concession stand, you buy burgers and bags of chips, a mixture of 12 items. Burgers cost $2 and chips cost $1. Your bill is $15.
Determine how many burgers and bags of chips you bought.
3 burgers
and
9 chips
400
What graph does a system of linear equations with no solutions look like? (use words, not images)
Parallel lines
500
What is the solution to the system graphed below?
Infinite Solutions
500
Solve the systems of equations using substitution:
y = 8x -7
16x - 2y = 14
Infinitely Many Solutions
500
Solve the systems of equations using Elimination:
-5x + 7y = -7
-2x - 2y = 2
(0, -1)
500
For tickets at a concert, adults cost $12 and children cost $8. Assume that $960 is collected and 90 tickets are sold.
Determine the number of adults and children that attended the concert.
60 adults
and
30 children
500
What strategy would you use and explain why?
-5x - 5y = 10
y = -4x -17
substitution because y is already solved for.