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Solving Equations and Visual Models

Solving Equations and Visual Models

Assessment

Interactive Video

Mathematics

6th - 7th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to solve one-variable linear equations using visual models like hanger and tape diagrams. It demonstrates the concept of balance in equations, showing how equal weights on both sides of a hanger or tape diagram represent the equation's equality. The tutorial provides step-by-step instructions for setting up and solving equations, emphasizing the importance of checking solutions to ensure accuracy. By using these visual models, learners gain a clearer understanding of the abstract concept of equations.

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8 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary purpose of using visual models like hanger and tape diagrams?

To provide a visual representation of equations

To confuse students

To make equations more complex

To eliminate the need for solving equations

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does a hanger diagram represent in terms of equations?

An unbalanced equation

A diagram with no mathematical significance

A balanced equation with equal weights on both sides

A complex algebraic expression

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a hanger diagram, if the left side has weights of 9 and h, and the right side has a weight of 14, what equation can be set up?

h = 14 + 9

9h = 14

h - 9 = 14

h + 9 = 14

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you isolate the variable h in the equation h + 9 = 14?

Multiply both sides by 9

Subtract 9 from both sides

Add 9 to both sides

Divide both sides by 9

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the new problem, if the left side has a weight of 24 and the right side has six c's, what equation can be set up?

6 + c = 24

c - 6 = 24

c + 6 = 24

6c = 24

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you solve the equation 6c = 24 to find the value of c?

Divide both sides by 6

Subtract 6 from both sides

Multiply both sides by 6

Add 6 to both sides

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of c if 6c = 24?

3

2

5

4

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