Topics
6. Equations & Inequalities
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United States of AmericaVA
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 dark blue square tile labeled as +1.  

Scale $2$2:

Two balance scales with a triangular fulcrum at the center supporting a horizontal beam. The balance scale on top is labeled "Scale $1$1". The balance scale below it is labeled "Scale $2$2". The left side of Scale $1$1 has one blue rectangular tile labeled $+x$+x. The right side of Scale $1$1 has three dark blue square tiles, each labeled $+1$+1. The left side of Scale $2$2 has two blue rectangular tiles, each labeled $+x$+x. The right side of Scale $2$2 has 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 dark blue square tile labeled as +1. A dark blue square tile labeled as +1.    
$5$5 dark blue square tiles, each labeled $+1$+1
A
A dark blue square tile labeled as +1. A dark blue square tile labeled as +1.    
$6$6 dark blue square tiles, each labeled $+1$+1
B
$1$1 blue rectangular tile labeled as $+x$+x
C
A dark blue square tile labeled as +1. A dark blue square tile labeled as +1.    
$4$4 dark blue square tiles, each labeled $+1$+1
D
Easy
< 1 min

Scale $1$1 is a balanced scale.

Easy
< 1 min

Scale $1$1 is a balanced scale.

Easy
< 1 min

Scale $1$1 is a balanced scale.

Easy
< 1 min
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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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