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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

What are the three types of solutions possible for systems?

No solution (parallel)

One solution (a point)

Infinite solutions (the same line)

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.

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