Linear Equations
Graphing
Word Problems
Systems
Miscellaneous
100
2x - 4 = x + 6
x= 10
100
Graph to find the solution: y = 2, x = 3
(3,2)
100
Blaire has 8 animals. She has three more dogs than cats. How many cats and dogs does she have?
3 cats, 6 dogs
100

Solve the system: y = x + 6, y = 4x + 9

(-1,5)

100
Give two equations with no solution.
any two parallel lines
200
3x - 5 = 7x - 9
x=1
200
Graph two lines with infinite solutions.
graph
200
Barbara spends $1,000 for new appliances. Her new oven is $500 more than her new microwave. How much did each cost?
Oven: 750 Microwave: 250
200

Solve the system. y= 3x - 2, 3x + 2y = 14

(2, 4)

200
Convert the equation to slope-intercept form: -3x + 2y = 4
y = 3/2x + 2
300
4x - 17 = 3 ( x - 5 )
x=2
300
Find the solution by graphing: y = 3/2x + 2, y = -x - 3
(-2, -1)
300
Ronny has $40 and Tommy has $90. If Ronny saves $13 per week and Tommy saves $8 per week, in how many weeks will they have the same amount of money?
10 weeks
300

y = 1/2x + 4, x + 2y = 0

(-4, 2)

300
Convert the equation to standard form: y = -3/5x + 2
3x + 5y = 10
400
DAILY DOUBLE!!!!!! -1/2 ( x + 4 ) = 3/4 ( x + 4 )
x=-4
400
Graph the system to determine the solution. x - 2y = -2, 3x - 2y = 2
(2,2)
400
DAILY DOUBLE!!!!! Claire has 18 Nickels and Quarters. She has three more than twice as many nickels as quarters. How many nickels does Claire have?
13
400
Solve the system: y = 2x + 7, x - 2y = 14
(0,-7)
400
Find the x-intercept and the y-intercept of the following equation: -3x + 4y = 12
y-intercept : 3 x-intercept : -4
500
-(4x -9) - 4 = 2/3 ( -6x + 9 )
x=7
500
Graph the system to find the solution: 4x + 5y = 7, -2x + 3y = -9
(3, -1)
500
Wolfrich lived in Portugal and Brazil for a total period of 14 months in order to learn Portuguese. He learned an average of 130 new words per month when he lived in Portugal, and an average of 150 new words per month when he lived in Brazil. In total, he learned 1920 new words. How long did Wolfrich live in Portugal and how long did he live in Brazil?
Portugal for 9 years, Brazil for 5.
500
Solve the system: x+3y=9, -2x+3y=3
(2, 7/3)
500
Farmer John has a rectangular vegetable garden. The width is one yard less than twice the gardens length. The perimeter of the garden is 40 yards. What are the dimensions of the garden?
length: 7 width: 13
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