Solving Equations/Inequalities
Graphs and Functions
Exponents, Polynomials, and Factoring
Quadratics and Rational Expressions
Miscellaneous
100
Solve:
1/2 x+3=4
x = 2
100
Identify the x-intercept and the y-intercept:
y = 2x + 3
x-intercept: -3/2
y-intercept: 3
100
Simplify:
(124a^3b^2c^4)/(31a^2b^4c^3)
(4ac)/b^2
100
What is the first step to complete the square?
x^2+12x+18=0
subtract 18
100
Round to the nearest tenth.
https://www.troy.k12.oh.us/userfiles/1633/Classes/21160/Percent%20Error%20Worksheet.pdf
27.3%
200
Write an inequality:
The quotient of x and 2 is more than 10.
x/2 >10
200
Where is the graph constant?
from x=-1 to x=2
200
Evaluate:
((-(2x)/(2x^2b^3))^2)^0 xx 3x
3x
200
What is the next step to complete the square?
add 36 to both sides
200
Simplify:
sqrt(-60)
2isqrt15
300
Solve (Find the zeros):
x2 - x - 2 = 0
x = 2 and x = -1
300
Graph the following absolute value function:
f(x)=|x+3|-6
300
Multiply:
(x + 3)(x - 2)
x2 + x - 6
300
The zeros of a quadratic function are -2 and 4. What is the function in standard form.
f(x)=x^2-2x-8
300
Simplify:
(sqrt(-24)+6)/2
isqrt6+3
400
Solve for x.
2/(x-2) =4/(x+1)
x=5
400
Describe the translation:
y=x^2 -> y=(x-2)^2+3
horizontally shirt 2 units to the right, vertically 3 units up
400
Factor:
x2 - 3x + 2
(x - 2)(x - 1)
400
Simplify:
(2x^2+6x+4)/(x^2+2x+1
(2(x+2))/(x+1)
400
What is the end behavior of the following polynomial function:
f(x)=4x^5-2x^4+3x-4
falls to the left and rises to the right
500
Solve using the quadratic formula:
4x^2+2x+6=0
x=(-1+-isqrt23)/4
500
What is the vertex?
f(x)=3(x-2)^2+4
(2, 4)
500
Factor:
4x2 + 7x - 2
(4x - 1)(x + 2)
500
Find the vertical and horizontal asymptotes:
f(x)=(x^2-4x-5)/(x^2+7x+12)
vertical: x = -3 and x = -4
horizontal: y = 1
500
After graphing the vertex, what is the next step?
f(x)=-2(x+3)^2-2
plugging in two points to the left of the vertex (or to the right)