Systems of Equations and Inequalities
This is the solution to the system of equations:
2x - y = -1
3x - 2y = 1
What is (-3, -5)?
The simplified form of
-12t-1u5x-4
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2t-3ux5
What is
-6t2u4
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x9
The sum of these polynomials
(6xy + 2y + 6x) + (4xy – x)
What is 10xy + 5x + 2y?
The transformations of the graph of the function g(x) = –3(x + 4)2, related to the graph of f(x) = x2.
What are stretched vertically, reflected across the x-axis, and translated to the left 4 units.
The value of the discriminant and the number of solution for the equation 2x2 + 6x + 12 = 0.
What are -60 and no real solutions?
This is the solution to the system of equations:
0.5x + 0.5y = –2
x – 0.25y = 6
What is (4, -8)?
The simplified form of
√2*(√8 + √6)
What is 4 + 2√3?
The product of the two polynomials
(y2 – 5y + 3)(2y2 + 7y – 4)
What is 2y4 - 3y3 - 33y2 + 41y -12?
The solutions to the quadratic equation
3w2 + 14w + 8 = 0
What are -4 and -2/3?
The value of the discriminant and the number of solution for the equation 3x2 + 7x + 3 = 0.
The chess club has 16 members and gains a new member every month. The film club has 4 members and gains 4 new members every month. Write and solve a system of equations to find when the number of members in both clubs will be equal.
What is:
y = 16 + x
y = 4 + 4x
4 months
It is estimated that the population of the world is increasing at an average annual rate of 1.2%. If the 2016 population was about 7,350,000,000, predict the 2025 population.
What is about 8,182,988,703?
The solution(s) to the equation
(4c + 2)(2c – 7) = 0
What are -1/2 and 7/2?
The solution to the quadratic equation
1/16y2 = 81
What are 36 and -36?
y = x2 + x + 1
y - 1 = x
What is (0, 1)?
The population of Andorra has been decreasing at an annual rate of 3.8%. If the population of Andorra was about 79,300 in the year 2013, predict its population in the year 2030.
What is about 41,044?
The factored form of
12ax + 3xz + 4ay + yz
What is (3x + y)(4a + z)?
The value of c that makes the trinomial,
x2 + 5x + c, a perfect square.
What is 25/4?
The solution(s) to the system of equations
y + 3x = x2 - 3
y = -2x + 3
What are (-2, 7) and (3, -3)?
The Camp Courage Club plans to sell tins of popcorn and peanuts as a fundraiser. The Club members have $900 to spend on products to sell and want to order up to 200 tins in all. They also want to order at least as many tins of popcorn as tins of peanuts. Each tin of popcorn costs $3 and each tin of peanuts costs $4. This is a system of equations to represent the conditions of this problem.
What is:
x+y≤200
x≥y
3x+4y≤900
A new car costs $32,000. It is expected to depreciate 12% each year for 4 years and then depreciate 8% each year thereafter. Find the value of the car in 6 years.
What is about $16,242.63
The factored form of 18 + 11y + y2.
What is (9+y)(2+y)?
What is y = (x - 3)2 - 5?
The value of (f + g)(x) if f(x) = x2 - 2x + 3 and g(x) = 5x - 2.
What is (f + g)(x) = x2 + 3x + 1?