Unit 2 equations and inequalities homework 6

Q: What is D 2r?

Circumference The diameter d is twice the radius r. d = 2r. The circumference of a circle is the distance around the circle.

Q: What grade is equations and inequalities?

Expressions, equations, & inequalities. 7th grade. Math.

Q: What are the steps to solving the inequality 2?

To solve a two-step inequality, undo the addition or subtraction first, using inverse operations , and then undo the multiplication or division. The inverse operation of addition is subtraction and vice versa. Similarly, the inverse operation of multiplication is division and vice versa.

( Note, some activities are marked "OPTIONAL" in the student workbook to meet the accelerated pace.)

Table of Contents Show

What is equation and inequalities?
What is D 2r?
What grade is equations and inequalities?
What are the steps to solving the inequality 2?

I can explain how a tape diagram represents parts of a situation and relationships between them.
I can use a tape diagram to find an unknown amount in a situation.

I can match equations and tape diagrams that represent the same situation.
If I have an equation, I can draw a tape diagram that shows the same relationship.
I can draw a tape diagram to represent a situation where there is a known amount and several copies of an unknown amount and explain what the parts of the diagram represent.
I can find a solution to an equation by reasoning about a tape diagram or about what value would make the equation true.

I can draw a tape diagram to represent a situation where there is more than one copy of the same sum and explain what the parts of the diagram represent.
I can find a solution to an equation by reasoning about a tape diagram or about what value would make the equation true.
I understand the similarities and differences between the two main types of equations we are studying in this unit.
When I have a situation or a tape diagram, I can represent it with an equation.

I can find an unknown weight on a hanger diagram and solve an equation that represents the diagram.
I can write an equation that describes the weights on a balanced hanger.
I can explain how a balanced hanger and an equation represent the same situation.
I can explain why some balanced hangers can be described by two different equations, one with parentheses and one without.
I can explain how a balanced hanger and an equation represent the same situation.
I can write an equation that describes the weights on a balanced hanger.
I can find an unknown weight on a hanger diagram and solve an equation that represents the diagram.

I can use the idea of doing the same to each side to solve equations that have negative numbers or solutions.

For an equation like 3(x+2)=15, I can solve it in two different ways: by first dividing each side by 3, or by first rewriting 3(x+2) using the distributive property.
For equations with more than one way to solve, I can choose the easier way depending on the numbers in the equation.

I can solve story problems by drawing and reasoning about a tape diagram or by writing and solving an equation.

I can solve story problems about percent increase or decrease by drawing and reasoning about a tape diagram or by writing and solving an equation.

I understand what it means for a number to make an inequality true.
I can explain what the symbols ≤ and ≥ mean.
I can represent an inequality on a number line.

I can write an inequality to represent a situation.
I can describe the solutions to an inequality by solving a related equation and then reasoning about values that make the inequality true.

I can solve inequalities by solving a related equation and then checking which values are solutions to the original inequality.
I can graph the solutions to an inequality on a number line.

If I have a situation and an inequality that represents it, I can explain what the parts of the inequality mean in the situation.
I can match an inequality to a situation it represents, solve it, and then explain what the solution means in the situation.

I can use what I know about inequalities to solve real-world problems.

I can re-write subtraction as adding the opposite and then rearrange terms in an expression.
I can organize my work when I use the distributive property.
I can organize my work when I use the distributive property.
I can use the distributive property to rewrite expressions with positive and negative numbers.
I understand that factoring and expanding are words used to describe using the distributive property to write equivalent expressions.

When possible, I can write an equivalent expression that has fewer terms.
I can figure out whether two expressions are equivalent to each other.

When possible, I can write an equivalent expression that has fewer terms.
I am aware of some common pitfalls when writing equivalent expressions, and I can avoid them.
Given an expression, I can use various strategies to write an equivalent expression.
When I look at an expression, I can notice if some parts have common factors and make the expression shorter by combining those parts.

What is equation and inequalities?

In an equation, the two expressions are deemed equal which is shown by the symbol =. x=y. x is equal to y. Where as in an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

What is D 2r?

Circumference The diameter d is twice the radius r. d = 2r. The circumference of a circle is the distance around the circle.

What grade is equations and inequalities?

Expressions, equations, & inequalities. 7th grade. Math.

What are the steps to solving the inequality 2?

To solve a two-step inequality, undo the addition or subtraction first, using inverse operations , and then undo the multiplication or division. The inverse operation of addition is subtraction and vice versa. Similarly, the inverse operation of multiplication is division and vice versa.