Linear Equations
What is the slope-intercept form of a linear equation?
y = mx + b
What is a polynomial?
An expression with many terms.
What is a function?
An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
What is an inequality?
In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
What does it mean to factor an expression?
Factoring means rewriting the expression as the product of factors
Solve for x: 2x+5=15.
x = 5
Simplify the expression: 3x2+4x−2+5x2−3x.
8x2+x-2
Determine if the relation is a function: {(1,2), (2,3), (1,4)}.
Not a function. Fails the vertical line test with points (1,2) and (1,4)
Solve the inequality:
x + 7 > -3.
x > -10
Factor x2+4x+3.
(x+3)(x+1)
Graph the equation y=−3x+2. What is the slope?
m = -3
What is the degree of the polynomial 4x3+2x2−x+7?
3rd Degree
What is the domain of the function f(x)=1/(x−3)?
All x not equal to 3
Graph the solution to the inequality x+2≥5.
see graph. x>=3
What are the steps to factor a quadratic expression?
Open answers, write on the board
Write the equation of a line that has a slope of 4 and passes through the point (1,2).
y = 4x - 2
Factor the polynomial x2−9.
(x-3)(x+3)
If f(x)=2x+1, what is f(4)?
f(4) = 9
How do you express the solution in interval notation?
() or ] [ does not include the endpoints
[ ] does include the endpoints
Factor the expression x2−16.
Difference of squares
(x+4)(x-4)
If the equation of a line is y−3=2(x+1), what is the y-intercept?
b = 5
Expand the expression (x+3)(x−2).
x2+x-6
Graph the function f(x)=x2−4.
graph
Solve and graph the compound inequality:
-3x-12>-18<3x.
(-6,2) or ]-6, 2[
Factor the polynomial 2x2+8x.
2x(x+4)