Linear Equations and Inequalities
Quadratics
Systems of Linear Equations/Inequalities
Word Problems
Miscellaneous
100
Solve for x:
x=2(x-1)+6
What is x = -4
100
The maximum point or minimum point on a parabola is called...
What is the vertex?
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
Write the equation in standard form: y = -(x – 1)2 – 1
What is -x2 + 2x - 2 ?
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
Describe the transformations from the graph of f(x) = x2 to g(x) = -1/2(x - 3)2 + 2.
What is a reflection over the x axis, vertical compression (wider), horizontal translation right 3 and vertical translation up 2.
300
Solve for x:
3 - x > 2x - 6
What is 3 > x
300
Solve:
4x^2 + 23x - 6
What is -6 and 1/4
300
Write the system of inequalities represented by the graph.
What is
y>= x-1
y<x+3
300
The population of a certain animal species decreases at a rate of 3.5% per year. You have counted 80 of the animals in the habitat you are studying. Write a function that models the change in the animal population.
What is y=80(.965)x?
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
Find the roots:
10x^2 + 100x + 250
What is -5
400
Solve this system of equations:
-4x-15=5y
and
5y=11-4x
What is no solution
400
Joe had a summer job that pays $7.00 an hour and he worked between 15 and 35 hours every week. His weekly salary can be modeled by the equation: S = 7h, where S is his weekly salary and h is the number of hours he worked in a week.
What is the domain and range of the function?
What is
D: 15<=x<=35
R: 105<=y<=245
400
Simplify: (9x4y-2z2)1/2
What is 3x2z/y?
500
Write the inequality for the graph.
What is y > 2x + 1?
500
Solve the following: (x-7)(x-1) = 0
What is x = 7 and x = 1
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
Write the explicit formula for a1 = 28, d = 10
What is an = 10n - 18 ?