Equations & Inequalities
Graphing
Systems
Polynomials and Factoring
Exponents, Quadratics, and Radicals
100
Solve -3x < 12
x > -4
100
Graph the line x - 4y=-28
(see picture)
100
Solve 2x - 3y = -2 y - 3x = 10
(-4, -2)
100
Multiply (2x + 7) ^2
4x^2 + 28x + 49
100
What is the vertex: y = 1/4 x^2 + 2x + 3
(-4 -1)
200
Graph the function: f(x) = sqrt (x + 4) -2
(see graph)
200
The graph of f(x) = 3x^2 is translated 4 units down. Give the new function.
g(x) = 3x^2 - 4
200
Solve the system 4y - 5x = 9 x - 4y = 11
(-4, -5)
200
Factor x^3 - x
x(x + 1)(x - 1)
200
Simplify (a + 3)/2 * 6/(3a + 9)
1
300
What kind of relationship is there? x y 1 12 2 6 3 4 4 3
Inverse variation
300
Graph: y = | x - 1 | + 1
(see picture)
300
Twelve people go to a show; some are adults, some are kids. An adult ticket costs $5 and a kid ticket costs $3. A total of $42 was spent on tickets. How many kids and how many adults attended?
9 kids and 3 adults
300
Factor 2x^2 + 5x - 3
(2x - 1)(x + 3)
300
Solve the question Mrs. Bressler puts on the board
(see answer)
400
Solve for a: 2a/5 + 1 = 2a - 6
a = -5
400
Find the slope of the line that goes through the points (3, 6) and (6, 9).
1
400
Solve 2x + 5y = -24 3x - 5y = 14
(-2, -4)
400
Multiply (x + 2)(x - 3)(x + 4)
x^3 - 3x^2 - 10x - 24
400
Solve x = sqrt(-5x - 6)
No solution
500
Solve for z: 9z + 6 = xz
z = -6/(9-x)
500
Use your team to make the graph of y = 15
(see graph)
500
Solve the system: 2x + y + z = 17 0.5z = 5 x - y = 5
(4, -1, 10)
500
Solve -2x^2 - 15x - 7 = 0
x = -1/2 x = -7
500
Simplify 8/(sqrt3 + sqrt5)
4sqrt3 - 4sqrt5