Systems of Equations
Laws of Exponents
Arithmetic with Polynomials
Quadratics
Radicals
100
The solution of this inequality by graphing. Y< (-2/3)x+1
100
Simplify and write using positive exponents. 2-3
What is 1/8?
100
Perform the operation and simplify. (6x2+2x-7)+(8x2-4x+12)
What is 14x2-2x+5?
100
Sketch a graph of f(x)=x^2-2x+3 Include the axis of symmetry, the vertex, and at least 2 other points.
100
Simplify the radical expressions sqrt(75x3)
What is 5x * sqrt(3x)
200
The number of solutions to this system and why. You may solve using any method, or use reasoning. y=2x+1 y=2x-4
What is No solutions?
200
Simplify and write using positive exponents. 3x4)2
What is 9x8
200
Perform the operation and simplify. (x-3)(5x+2)
What is 5x2-13x-6
200
Sketch a graph of a quadratic that has two real solutions.
What is a graph with two x-intercepts.
200
(4*sqrt(10)) / (2 sqrt(2))
What is 2*sqrt(5)?
300
Simplify and write using positive exponents. (x2x3)/(x)
What is x4
300
Factor completely. 5x^2-13x-6
What is (x-3)(5x+2)
300
Solve for x. 5x^2-20=0
What is x=2
300
Solve the equation sqrt(a+5)+2=10
What is 59?
400
3 solutions to this system of inequalities https://www.desmos.com/calculator/usdr8eti8v
What is ...?
400
Write in exponential form. 5th root of x3
What is x3/5?
400
Factor completely x^2-9
What is (x-3)(x+3)?
400
Solve by factoring x^2-9x+20
What is x=4, x=5
400
Solve sqrt(3x+1) = sqrt(5x-8)
What is 9/2 or 4.5?
500
Over the summer you worked two part jobs earning a total of $1300. You worked a total of 200 hours by mowing lawns and babysitting. You earned $6 an hour babysitting and $8 an hour mowing lawns. Define your variables, write a system of equations to represent the situation, and then determine how many hours you worked each job.
What is 150 hours babysitting and 50 hours mowing?
500
Write in radical form a2/3
What is the cube root of a2
500
A student was asked to find the product of (x+4)2. First they did x^2+4^2 and then got x^2+16. Did they solve this correctly? If not, explain their error and the correct solution
What is incorrect. They distributed the exponent instead of squaring x^2+8x+16
500
Solve using the quadratic formula 2x^2+5x+3=0
What is x=-1.5,-1
500
Graph and determine the domain: f(x)=sqrt(x)