Topics
6. Equations & Inequalities
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United States of AmericaVirginia
Grade 6

6.04 One-step equations with multiplication and division

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Scale $1$1 is a balanced scale.

Scale $1$1:

A black-shaded square labeled +1.  

Scale $2$2:

 

Two balance scales with a triangular fulcrum at the center supporting a horizontal beam. In Scale 1, on the left side of the fulcrum, there is a blue rectangular tile labeled $+x$+x. On the right side of the fulcrum, there are three dark blue square tiles, each labeled $+1$+1. In Scale 2, on the left side of the fulcrum, there are two blue rectangular tiles, each labeled $+x$+x. On the right side of the fulcrum, there is a large question mark positioned above it.

Which of the following options could go in place of the question mark to balance scale $2$2?

A black-shaded square labeled as $+1$+1.
A black-shaded square labeled as $+1$+1.
A black-shaded square labeled as $+1$+1.
A black-shaded square labeled +1.

 

 

A
A black-shaded square labeled as $+1$+1.
A black-shaded square labeled as $+1$+1.
A black-shaded squarelabeled as $+1$+1.
A black-shaded square labeled as $+1$+1.

A black-shaded square labeled +1.  

B
A blue-shaded rectangle labeled as $+x$+x.
C
A black-shaded square labeled as $+1$+1.
A black-shaded square labeled as $+1$+1.
A black-shaded square labeled +1.

 

 

 

D
Easy
< 1min

Scale $1$1 is a balanced scale.

Easy
< 1min

Scale $1$1 is a balanced scale.

Easy
< 1min

Scale $1$1 is a balanced scale.

Easy
< 1min
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Outcomes

6.PFA.3

The student will write and solve one-step linear equations in one variable, including contextual problems that require the solution of a one-step linear equation in one variable.

6.PFA.3b

Represent and solve one-step linear equations in one variable, using a variety of concrete manipulatives and pictorial representations (e.g., colored chips, algebra tiles, weights on a balance scale).

6.PFA.3c

Apply properties of real numbers and properties of equality to solve a one-step equation in one variable. Coefficients are limited to integers and unit fractions. Numeric terms are limited to integers.

6.PFA.3d

Confirm solutions to one-step linear equations in one variable using a variety of concrete manipulatives and pictorial representations (e.g., colored chips, algebra tiles, weights on a balance scale).

6.PFA.3e

Write a one-step linear equation in one variable to represent a verbal situation, including those in context.

6.PFA.3f

Create a verbal situation in context given a one-step linear equation in one variable.

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