options: Create equations that describe numbers or relationships

Represent and solve problems involving addition and subtraction.

Perform arithmetic operations on polynomials.

Interpret the structure of expressions.

Rewrite rational expressions.

Use polynomial identities to solve problems.

Represent and solve problems involving multiplication and division.

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

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

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

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

Add and subtract within 20.

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

Represent and solve equations and inequalities graphically.

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

Represent and analyze quantitative relationships between dependent and independent variables.

Solve equations and inequalities in one variable.

Solve systems of equations.

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

Apply and extend previous understandings of arithmetic to algebraic expressions.

Gain familiarity with factors and multiples.

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

Analyze patterns and relationships.

Write expressions in equivalent forms to solve problems.

Write and interpret numerical expressions.

Use the four operations with whole numbers to solve problems.

Work with radicals and integer exponents.

Work with addition and subtraction equations.

Use properties of operations to generate equivalent expressions.

Understand the relationship between zeros and factors of polynomials.

Reason about and solve one-variable equations and inequalities.

Generate and analyze patterns.

Multiply and divide within 100.

Understand and apply properties of operations and the relationship between addition and subtraction.
problem_activity: Problem 1
Consider the three situations shown below.
$${|x|=5}$$
$${|x|<5}$$
$${|x|>5}$$
For each situation, let
$${{f(x)}=|x|}$$
and
$${{g(x)}=5}$$
. Graph each relationship between
$${f(x)}$$
and
$${g(x)}$$
in the coordinate plane and then use each graph to determine the solution to each situation.
Problem 2
Solve each absolute value inequality algebraically and verify the solution graphically.
a.
$${\left|x-{1\over2}\right|<3}$$
b.
$${\left|2x\right|>{7\over2}}$$
c.
$${\left|{1\over3}x\right|-4<-1}$$


correct_option_index: 13

16

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