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

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

Perform arithmetic operations on polynomials.

Represent and solve equations and inequalities graphically.

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

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

Gain familiarity with factors and multiples.

Multiply and divide within 100.

Write expressions in equivalent forms to solve problems.

Use properties of operations to generate equivalent expressions.

Solve equations and inequalities in one variable.

Use the four operations with whole numbers to solve problems.

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

Use polynomial identities to solve problems.

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

Interpret the structure of expressions.

Represent and solve problems involving addition and subtraction.

Write and interpret numerical expressions.

Analyze patterns and relationships.

Understand the relationship between zeros and factors of polynomials.

Reason about and solve one-variable equations and inequalities.

Solve systems of equations.

Represent and solve problems involving multiplication and division.

Create equations that describe numbers or relationships

Add and subtract within 20.

Represent and analyze quantitative relationships between dependent and independent variables.

Work with addition and subtraction equations.

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

Generate and analyze patterns.

Work with radicals and integer exponents.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Rewrite rational expressions.

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

Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.
problem_activity: Problem 1
Tickets to a concert are available for early access on a special website. The website charges a fixed fee for early access to the tickets, and the tickets to the concert all cost the same amount with no additional tax. A friend of yours purchases 4 tickets on the website for a total of $162. Another friend purchases 7 tickets on the website for $270.
What function represents the total cost,
$$y$$
, for the purchase of
$$x$$
tickets on the website?
Problem 2
Write an equation in slope-intercept form for the line that passes through the points
$${(-2, -3)}$$
and
$${(1, 12)}$$
.


correct_option_index: 27