options: Represent and solve problems involving multiplication and division.

Write and interpret numerical expressions.

Solve equations and inequalities in one variable.

Represent and solve problems involving addition and subtraction.

Analyze patterns and relationships.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Solve systems of equations.

Work with addition and subtraction equations.

Gain familiarity with factors and multiples.

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

Understand the relationship between zeros and factors of polynomials.

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

Work with radicals and integer exponents.

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

Use the four operations with whole numbers to solve problems.

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

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

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

Reason about and solve one-variable equations and inequalities.

Write expressions in equivalent forms to solve problems.

Represent and analyze quantitative relationships between dependent and independent variables.

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

Add and subtract within 20.

Rewrite rational expressions.

Use properties of operations to generate equivalent expressions.

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

Multiply and divide within 100.

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

Generate and analyze patterns.

Represent and solve equations and inequalities graphically.

Create equations that describe numbers or relationships

Use polynomial identities to solve problems.

Perform arithmetic operations on polynomials.

Interpret the structure of expressions.
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: 2

13

29