Solve the system of equations
-4x-y=-16
-4x-5y=-32
What is (3, 4)
100
Does the graph of the following open up or down?
f(x)=0.5x^2-2x+4
What is upward.
100
Simplify (6x^2+7x-2)+(1-5x^3+3x)
What is -5x^3+6x^2+10x-1
100
A student population in a small resort town has increased by 2% per year for the last 5 years. This year's population is 765 students. Will the function that represents this situation show growth or decay?
What is growth.
200
If f(x)=-x^2+2, find f(2)
What is -2
200
Solve the system of equations
2x-7=8
x+2y=9
What is (5, 2)
200
What is the minimum or maximum of f(x)=-x^2-4x+8?
What is maximum at 12.
200
Simplify (5x-2x^2)-(4x^2+6x-9)
What is -6x^2-x+9
200
This year the population of a species decreased by 3% from last year. Write an expression for the size of the population this year as a function of last year's population.
What is This year = last year(1-0.03)
300
What is the domain of the following? {(3, 4), (4, 3), (0, 3), (-2, 4)}
What is {-2, 0, 3, 4}
300
A popular mixture of potpourri includes pine needles and lavender. If pine needles cost $1.50 per ounce and lavender costs $4.00 per ounce, how much of each ingredient should be mixed to make 80 oz of the potpourri that is worth $200?
What is 48 oz pine; 32 oz lavender.
300
What is the number AND TYPE of solutions for the equation x^2-6x=-5.
What is 2 real solutions.
300
Find the product (2x+1)^4
What is 16x^4+32x^3+24x^2+8x+1
300
Write the exponential as a logarithm: 3^5=243
What is log(base 3)243=5
400
What is the transformation of the parent function for the following equation f(x)=x^2-1
What is translated one unit down.
400
A coffee shop wants to make a maximum fo 120 pounds of a coffee mixture that costs less than $10/lb. The shop will mix coffee that is sold at $8/lb with coffee sold at $11.50/lb. Write a system of inequalities that shows the possible mixtures of the two coffee types.
What is
x+y<=120
8x+11.5y<1200
400
Write the equation in vertex form:
f(x)=x^2+2x-7.
What is g(x)=(x+1)^2-8
400
Identify all the real roots of x^3+x^2-2x-2=0
What is -1, sqrt(2), -sqrt(2)
400
Express as a single logarithm and simplify:
log(base 2)8+log(base 2)16
What is log(base 2)128=7
500
What is the transformation of the following equation from its parent function? f(x)=-sqrt(x)
What is a reflection across the x-axis.
500
A locksmith charges $25 to make a house call and $15 for each lock that is re-keyed. Another locksmith charges $10 to make a house call and $20 for each lock that is re-keyed. For how many locks will the total costs be the same?
What is 3 locks.
500
Simplify (5+2i)/(3-4i)
What is (7/25)+(26i/25)
500
What is the end behavior of -2x^3+5x^2+3?
What is as x approaches negative infinity, f(x) approaches infinity. As x approaches positive infinity, f(x) approaches negative infinity.