options: Solve problems involving the four operations, and identify and explain patterns in arithmetic.

Understand properties of multiplication and the relationship between multiplication and division.

Solve systems of equations.

Use the four operations with whole numbers to solve problems.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Add and subtract within 20.

Understand solving equations as a process of reasoning and explain the reasoning.

Multiply and divide within 100.

Understand and apply properties of operations and the relationship between addition and subtraction.

Perform arithmetic operations on polynomials.

Represent and analyze quantitative relationships between dependent and independent variables.

Analyze and solve linear equations and pairs of simultaneous linear equations.

Solve real-life and mathematical problems using numerical and algebraic expressions and equations.

Work with radicals and integer exponents.

Reason about and solve one-variable equations and inequalities.

Analyze patterns and relationships.

Write and interpret numerical expressions.

Create equations that describe numbers or relationships

Understand the relationship between zeros and factors of polynomials.

Solve equations and inequalities in one variable.

Generate and analyze patterns.

Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.

Interpret the structure of expressions.

Use polynomial identities to solve problems.

Represent and solve problems involving addition and subtraction.

Work with equal groups of objects to gain foundations for multiplication.

Write expressions in equivalent forms to solve problems.

Represent and solve equations and inequalities graphically.

Understand the connections between proportional relationships, lines, and linear equations.

Represent and solve problems involving multiplication and division.

Work with addition and subtraction equations.

Use properties of operations to generate equivalent expressions.

Rewrite rational expressions.

Gain familiarity with factors and multiples.
problem_activity: For each verbal expression below, write an algebraic expression.
a.   Four times the difference of 8 and
$$x$$
.
b.   Twice
$$m$$
increased by the square of
$$n$$
.
c.   The sum of 10 and the quotient of
$$x$$
and 4.
d.   The product of the square of
$$n$$
and
$$m$$
, subtracted from 5.


correct_option_index: 4