Algebra 1 Honors Flashcards
term
like terms
numerical coefficient
equivalent equations
equations that have the same solution
solution
value for the variable that makes the equation true
all real numbers
no solution
formula
an equation that describes a known relationship among quantities
linear equation
bar graph
line graph
quadrant
ordered pair
x-coordinate
y-coordinate
solution
scatter plot
correlation
a clear relationship between quantities
table
graph of an equation
standard form
Ax+By=C
slope-intercept form
y=mx+b
y-axis
x-axis
solution
linear
slope
the slant or steepness of a line, measured by the ratio of vertical change to horizontal change
rate of change
shows the relationship between two changing quantities
undefined
point-slope form
y-y1=m(x-x1)
x-intercept
the ordered pair where the line intersects with the x-axis
y-intercept
the ordered pair where the line intersects with the y-axis
linear function
perpendicular lines
intersect at a right angle, slopes are the opposite sign reciprocal
parallel lines
never intersect, always have the same slope, cannot have the same y-intercept
linear inequality
relation
a relationship between sets of information can be represented as a set of ordered pairs
function
a set of ordered pairs that assigns to each x-value exactly one y-value
domain
the set of all the x-coordinates in the relation also called inputs
range
the set of all y-coordinates in the relation also known as outputs
ordered pair
input
domain
output
range
independent variable
causes the change (x-variable)
dependent variable
result of the change (y-variable)
function notation
f,g, and h are used to name functions
solution of an inequality
a value of the variable that makes the inequality a true statement
interval notation
used to describe an interval on the number line
“and” compound inequalities
the solution must make both true
“or” compound inequalities
the solutions must make at least one of the inequalities true
absolute value
distance a number is from zero on the number line
elimination method
linear inequality
solution of a system of linear equations
an ordered pair that if replacing the variables by the values of the ordered pair results in a true statement
solution of a system of linear inequalites
substitution method
system of linear equations
consists of two or more linear equations
system of linear inequalities