options: Represent and solve equations and inequalities graphically.

Multiply and divide within 100.

Interpret the structure of expressions.

Use the four operations with whole numbers to solve problems.

Understand the relationship between zeros and factors of polynomials.

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

Add and subtract within 20.

Reason about and solve one-variable equations and inequalities.

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

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

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

Use polynomial identities to solve problems.

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

Analyze patterns and relationships.

Represent and solve problems involving addition and subtraction.

Generate and analyze patterns.

Solve systems of equations.

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

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

Perform arithmetic operations on polynomials.

Rewrite rational expressions.

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

Create equations that describe numbers or relationships

Work with addition and subtraction equations.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Work with radicals and integer exponents.

Gain familiarity with factors and multiples.

Write expressions in equivalent forms to solve problems.

Solve equations and inequalities in one variable.

Use properties of operations to generate equivalent expressions.

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

Represent and analyze quantitative relationships between dependent and independent variables.

Write and interpret numerical expressions.

Represent and solve problems involving multiplication and division.
problem_activity: Problem 1
Explain how you know the expressions in Column A are equivalent to the expressions in Column B.
{"table": [{"_attributes": {"class": ["table", "table-bordered"], "style": "width:70%"}, "tbody": [{"tr": [{"td": [{"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Column A"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Column B"}]}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${-3(x+4)}$$"}]}, {"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${-3x-12}$$"}]}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${(4+x)+3}$$"}]}, {"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${x+(4+3)}$$"}]}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${(x+4)-3}$$"}]}, {"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${-3+(x+4)}$$"}]}]}]}]}]}
Problem 2
Explain the properties of operations that were used to transform
$${a(x-y)}$$
to the equivalent expression,
$${-(ay-ax)}$$
.
Problem 3
If the expression
$${\frac{x}{2} + \frac{3}{4}}$$
is multiplied by
$$4$$
, the expression
$${{2x+3}}$$
results.
Is
$${{2x+3}}$$
an equivalent expression to
$${\frac{x}{2} + \frac{3}{4}}$$
?


correct_option_index: 2

30