Logical Methods in Solving Equations

Logical Methods in Solving Equations

Assessment

Interactive Video

Mathematics

6th - 8th Grade

Practice Problem

Hard

Created by

Jackson Turner

FREE Resource

The video tutorial covers the basics of equations and expressions, explaining the difference between them. It introduces algebraic concepts, including pronumerals, and demonstrates the order of operations. The guess and check method is discussed as a problem-solving technique, but the focus is on using logic to solve equations. The tutorial emphasizes maintaining balance in equations and using logical steps to find solutions.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main difference between an equation and an expression?

Neither have equal signs.

Both have equal signs.

An expression has an equal sign, while an equation does not.

An equation has an equal sign, while an expression does not.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the equal sign in an equation signify?

That the equation is an expression.

That the equation is complete.

That both sides of the equation are equal.

That the equation is incorrect.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a pronumeral in algebra?

A number that is known.

A mathematical operation.

A type of equation.

A symbol representing an unknown number.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is the guess and check method considered inefficient?

It is not allowed in mathematics.

It requires too many guesses and is time-consuming.

It always gives the wrong answer.

It only works for simple equations.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving an algebraic equation logically?

Guess the value of the variable.

Perform operations on both sides to maintain balance.

Ignore the equal sign.

Add random numbers to both sides.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation should be performed to isolate a variable multiplied by a number?

Subtraction

Multiplication

Addition

Division

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens when you subtract the same number from both sides of an equation?

The equation becomes unbalanced.

The equation remains balanced.

The equation becomes an expression.

The equation is solved.

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