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

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

Add and subtract within 20.

Rewrite rational expressions.

Work with addition and subtraction equations.

Create equations that describe numbers or relationships

Represent and analyze quantitative relationships between dependent and independent variables.

Use polynomial identities to solve problems.

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

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

Use the four operations with whole numbers to solve problems.

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

Represent and solve problems involving addition and subtraction.

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

Work with radicals and integer exponents.

Multiply and divide within 100.

Reason about and solve one-variable equations and inequalities.

Apply and extend previous understandings of arithmetic to algebraic expressions.

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

Represent and solve equations and inequalities graphically.

Gain familiarity with factors and multiples.

Analyze patterns and relationships.

Represent and solve problems involving multiplication and division.

Understand the relationship between zeros and factors of polynomials.

Generate and analyze patterns.

Perform arithmetic operations on polynomials.

Write expressions in equivalent forms to solve problems.

Use properties of operations to generate equivalent expressions.

Solve systems of equations.

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

Solve equations and inequalities in one variable.

Interpret the structure of expressions.

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

Write and interpret numerical expressions.
problem_activity: Problem 1
The perimeter of a rectangle is 54 cm. If the length is 2 cm more than a number and the width is 5 cm less than twice the same number, what are the dimensions of the rectangle?
Problem 2
A plot of land for sale has a width of
$$x$$
feet and a length that is 8 feet less than its width. A farmer will only purchase the land if it measures 240 square feet. What value for
$$x$$
will cause the farmer to purchase the land?


correct_option_index: 5