Linear
Write the equation of a line in slope-intercept form with a slope of -2 and a y-intercept of 5.
y=-2x+5
What is the vertex of the quadratic function
(x - 2)2 +3?
Vertex: (2, 3)
What is the value of 23
8
Simplify the expression: x2 - 9 / x+3
x - 3
What is the degree of the polynomial f(x)=4x3+2x2−x+5
Degree = 3
What is the slope of the line that passes through the points (2, 3) and (4, 7)?
2
Expand and simplify: (x−4)2
x2−8x+16
Simplify the expression: 3x ⋅ 32
3x+2
What value of x makes 1/x−2 undefined?
x=2
Find all real zeros of f(x)=x2−4
x = 2 x = -2
A line passes through (1, 4) and has a slope of 3. What is its equation in point-slope form?
y−4=3(x−1)
Solve the quadratic equation x2−5x+6=0
x=2,3
Solve for x: 5x=125
x=3
Find all vertical asymptotes of f(x)=x+1/ x2-4
x = -2, 2
Use the Remainder Theorem to evaluate f(2) for f(x)=x3−2x+1
5
Two lines are perpendicular. One has the equation y=2/3x+1. What is the equation of a line perpendicular to it that passes through (3, 2)?
Perpendicular slope is - 3/2
y−2=-3/2(x−3)
Rewrite y=x2+6x+8 in vertex form.
y=(x+3)2−1
The population of a town grows according to P(t)=1000⋅2t? What is the population after 3 years?
8000
Graph the rational function f(x)= 1/x. What are the domain and range?
There is no domain or range
Factor completely: x3−8
(x−2)(x2+2x+4)
Given a line L with equation 2x+3y=6, find the x- and y-intercepts, and write its equation in slope-intercept form.
x-int: (3, 0), y-int: (0, 2), slope-intercept: y=−2/3x+2
Given f(x)=ax2+bx+c find the value of a, b, and c if the graph has a vertex at (1, -2) and passes through the point (0, 1).
f(x)=3x2−6x+1
Solve for x: 32x-1 = 27
x = 2
Given f(x) = x2 -4 / x-2 simplify the expression and state any discontinuities.
x+2
Given f(x)=x4−5x3+6x2, find all real zeros and sketch the graph.
x = 2 x= 3