Eighth Grade Algebra I California Standards
Symbolic reasoning and calculations with symbols are central in algebra. Through the
study of algebra, a student develops an understanding of the symbolic language of
mathematics and the sciences. In addition, algebraic skills concepts are developed and
used in a wide variety of problem-solving situations.
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California
Student Friendly
1.0 Students identify and use the
 Students can identify and use the
arithmetic properties of subsets of
commutative property of addition and
integers and rational, irrational and
multiplication.
real numbers, including closure
 Students can identify and use the associate
properties for the four basic
property of addition and multiplication.
arithmetic operations where
 Students can identify and use the distributive
applicable:
property.
 Students can identify and sue the closure
property under the operations of addition,
subtraction, and multiplication.
1.1 Students use properties of numbers
 Students can use the properties of numbers to
to demonstrate whether assertions
determine whether or not the expressions or
are true or false.
equations are true.
2.0 Students understand and use such
 Students can find the opposite of a number
operations as taking the opposite,
and or variable.
finding the reciprocal, taking a root,
 Students can find the reciprocal of a number
and raising to a fractional power.
and/or variable.
They understand and use the rules of
 Students can find the root of a number and/or
exponents.
variable.
 Students can raise a number and/or variable
to a fractional power.
 Students understand and use the rules of
exponents.
3.0 Students solve equations and
 Students can solve absolute value equations.
inequalities involving absolute
 Students can solve absolute value
values.
inequalities.
4.0 Students simplify expressions before
 Students can simplify expressions in
solving linear equations and
equations and inequalities before solving
inequalities in one variable, such as
them.
3(2x-5) + 4(x-2) = 12
5.0 Students solve multi-step problems,
 Students can solve problems that require two
including word problems, involving
or more steps for linear equations and
linear equations and linear
inequalities.
inequalities in one variable and
 Students can explain the process in solving
provide justification for each step.
linear equations and inequalities by stating
the reason for each step used.
6.0 Students graph a linear equation and
 Students can graph a linear equation and find
compute the x- and y-intercepts (e.g.
the x- and y-intercepts.
graph 2x + 6y = 4). They are also
 Students can sketch the region defined by
able to sketch the region defined by
linear inequality (e.g., they sketch
the region defined by 2x + 6y < 4)
7.0 Students verify that a point lies on a
line, given an equation of the line.
Students are able derive linear
equations by using the point-slope
formula.
linear inequalities.
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Students will understand that all points that
falls on the graph of a line are solutions to the
equation.
Students can verify that point lies on a line by
using the equation of the line.
Students can use the point-slope formula to
write linear equations.