Linear Equations and Inequalities
Solve for x: x=2(x-1)+6
x=-4
The shape formed from a quadratic graph.
parabola
Solve this system of equations: 3x+3y=6 and 2x-3y=4
(2,0)
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.
y = 35x + 50
Multiply: (9r + 3)(2r - 1)
18r^2 - 3r -3
Write the equation of a line in standard form, given m=2 and b=1.
-2x+y=1
The point at which a quadratic graph changes direction also known as the maximum or minimum point on a parabola.
vertex
Solve this system of equations: x=5y and 2x+3y=-13
(-5,-1)
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
Find the x and y intercepts of the following line: 8x+2y=-16
(-2,0) and (0, -8)
Solve for x: 6 = -(-8-2x)
x = -1
Solve: 4x2 + 23x - 6
-6 and 1/4
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?
12 hours as a carpenter and 18 hours as a blacksmith
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?
25 hours
Write the equation of a line in slope intercept form, given m=4 and (-3,-1).
y=4x +11
Solve for x: 3 - x > 2x - 6
3 > x
Find the roots: 10x2 + 100x + 250
-5
Solve this system of equations: -4x-15=5y and 5y=11-4x
no solution
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?
$1.50
What are the like terms in this equation? 5x + 3y + 9 + 8x + 4m + 12x
5x and 8x and 12x
Solve for x: 3-(x+8) < -4x-26
x < -7
Solve the following: (x-7)(x-1) = 0
x = 7 and x = 1
Solve this system of equations: y = 2x - 3 and -4x + 2y = -6
infinite solutions
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.
y = -2/3 x + 12
How do you check to see if a relation is a function?
vertical line test, x does not repeat