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Linear Equations and Inequalities
Systems of Linear Equations
Word Problems
Miscellaneous
100
Solve for x: x=2(x-1)+6
What is x = -4
100
Solve this system of equations: 3x+3y=6 and 2x-3y=4
What is (2,0)
100

Ms. Sumner is having her lawn mower tuned up. The Sears repairman charges $50 service call plus $35 per hour. Write an equation to represent the money Ms. Sumner will pay depending on the "x" hours the repairman works.

What is y = 35x + 50

100
Multiply: (9r + 3)(2r - 1)
What is 18r^2 - 3r -3
200
Write the equation of a line in standard form, given m=2 and b=1.
What is -2x+y=1
200
Solve this system of equations: x=5y and 2x+3y=-13
What is (-5,-1)
200

For $5.00 you could buy 1 coke and 3 pieces of pizza. For $8.00 you could buy 3 cokes and 2 pieces of pizza . Write the systems of equations to represent the situation.

What is 5 = 1c + 3p 8 = 3c + 2p

200
Find the x and y intercepts of the following line: 8x+2y=-16
What is (-2,0) and (0, -8)
300
Solve for x: 3 - x > 2x - 6
What is 3 > x
300
Giselle works as a carpenter and as a blacksmith. She earns $20 per hour as a carpenter and $25 per hour as a blacksmith. Last week, Giselle worked both jobs for a total of 30 hours, and earned a total of $690. How long did Giselle work as a carpenter last week, and how long did she work as a blacksmith?
What is 12 hours as a carpenter and 18 hours as a blacksmith
300

A student works at a job which plays $5.00 per hour. This week the student also received a bonus of $75. If the total pay for the week was $200, how many hours did the student work?

What is 25 hours

300
Write the equation of a line in slope intercept form, given m=4 and (-3,-1).
What is y=4x +11
400
Solve for x: 3-(x+8) < -4x-26
What is x < -7
400
Solve this system of equations: -4x-15=5y and 5y=11-4x
What is no solution
400

Four drinks and 2 pizza slices costs $11.00 and 6 drinks and 5 pizza slices cost $19.50. How much does one slice of pizza cost?

What is $1.50

400
What are the like terms in this equation? 5x + 3y + 9 + 8x + 4m + 12x
What is 5x and 8x and 12x
500
Solve for x: 6 < -(-8-2x)
What is -1 < x
500
Solve this system of equations: y = 2x - 3 and -4x + 2y = -6
What is infinite solutions
500

You are buying brats and hot dogs for a barbecue. Brats cost $2.00 per pound and hot dogs cost $3.00 per pound. You have $36 to spend. Create a linear equation to represent the different number of combinations of brats and hot dogs you can have, then write it in slope-intercept form.

What is y = -2/3 x + 12

500
How do you check to see if a relation is a function?
What is vertical line test, x does not repeat