Two Linear Equations
Money/Mixture
Wind/Angle
Three Linear Equations
Solving by Graphing
100
Solve using substitution or elimination y=2x-6 3x+2y=16
What is (4,2)
100
Bill has $3.00 in nickels and quarters. The number of nickels is 4 more than twice the number of quarters. Find the number of coins of each type.
What is 8 quarters and 20 nickels
100
Two angles are complementary. The measure of one is twice the measure of the other. Find the measure of both angles.
What is 30 degrees and 60 degrees
100
Solve for x, y, and z. x=4 2x+y=11 3x-y+z=10
What is (4,3,1)
100
Solve by graphing y=2/3 x-4 2x-3y=9
What is No solution
200
Solve using substitution or elimination 2x-y=5 3x+5y=14
What is (3,1)
200
Angelo has $1.90 in dimes and nickels. The number of nickels is 4 fewer than 5 times the number of dimes. How many of each type does he have?
What is 6 dimes and 26 nickels
200
Two angles are supplementary. The measure of the larger is 60 less than twice the measure of the smaller. Find the measure of each angle.
What is 80 degrees and 100 degrees
200
Solve for x, y, and z. 3x+4y=3 5y-2z=-3 x+3z=-13
What is (5, -3, -6)
200
Solve by graphing 4x+2y=12 6x+3y=18
What is Every point on the line
300
Solve using substitution or elimination 2x+5y=16 4x+3y=18
What is (3,2)
300
The cost of an adult ticket to a football game is $1.75. The cost of a student ticket is $1.25. Total receipts last week from ticket sales were $1,700. If the number of student tickets sold was twice the number of adult tickets, how many of each type were sold?
What is 400 adult tickets and 800 student tickets
300
An airplane flies 840 miles in 3 hours with the wind. The return trip at the same airspeed takes 3.5 hours. Find the wind speed and the plane speed.
What is wind: 20 mi/h plane: 260 mi/h
300
Solve for x, y, and z. x+2y=-6 y+2z=11 2x+z=16
What is (4, -5, 8)
300
Solve by graphing y>2x-4 y<-x+2
What is Note to teacher - see answer on Pg 159 of TE (#35)
400
Solve using substitution or elimination 6x+3y=9 4x+2y=5
What is No Solution
400
Tina has $1.10 in dimes and nickels. The number of nickels is 2 more than 1/2 the number of dimes. Find the number of coins of each type.
What is 8 dimes and 6 nickels
400
Flying with a tail wind, a plane can travel 3,600 miles in 6 hours. Flying against the wind, the plane can return in 7.2 hours. Find the speed of the plane.
What is 550 mi/h
400
Solve for x, y, and z. x+y+z=2 2x+y+2z=3 3x-y+z=4
What is (2, 1, -1)
400
Solve by graphing 2x-y</=-3 x</=-2
What is Note to teacher - See answer on Pg 156 of TE (#14)
500
Solve using substitution or elimination 3x-2(y-4)=2 x/2=(y-1)/4
What is (4,9)
500
A chemist has one solution containing 20% acid, and a second containing 30% acid. How many liters of each solution must be combined to obtain 80 liters of a mixture that is 28% acid?
What is 16 liters of 20% acid and 64 liters of 30% acid
500
Two angles are complementary. The measure of one is 2/3 the measure of the other. Find the measure of the supplement of the larger angle
What is 126 degrees
500
Solve for x, y, and z 2x+3y+z=11 3x-y-2z=-5 4x+3y+3z=19
What is (1, 2, 3)
500
Solve by graphing y>x-4 y<-x+2
What is Note to teacher - see answer on Pg 155 of TE (#16)
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