One Step Equations with Rational Numbers

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What is a one-step equation?

Back

A one-step equation is an algebraic equation that can be solved in a single operation, such as addition, subtraction, multiplication, or division.

Tags

CCSS.6.EE.B.7

Front

How do you solve the equation -35 + y = 70?

Back

To solve for y, add 35 to both sides: y = 70 + 35, which simplifies to y = 105.

Tags

CCSS.6.EE.B.7

Front

What is the first step to solve the equation 1/3a = 7/9?

Back

Multiply both sides by 3 to eliminate the fraction: a = (7/9) * 3.

Tags

CCSS.6.EE.B.7

Front

What is the solution to the equation 1/3a = 7/9?

Back

The solution is a = 2 1/3.

Tags

CCSS.6.EE.B.7

Front

Why is it necessary to multiply by 8 when solving an equation?

Back

Multiplying by 8 is necessary to undo division by 8 in the equation.

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CCSS.HSA.REI.A.1

Front

What does it mean to balance an equation?

Back

Balancing an equation means performing the same operation on both sides to maintain equality.

Tags

CCSS.8.EE.C.7B

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What is the purpose of dividing by 5 in an equation?

Back

Dividing by 5 is used to undo multiplication by 5 in the equation.

Tags

CCSS.HSA.REI.A.1

Front

What is the principle of inverse operations in algebra?

Back

The principle of inverse operations states that operations can be undone by their inverse; for example, addition is undone by subtraction.

Tags

CCSS.HSA.REI.A.1

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to get the variable alone on one side of the equation.

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CCSS.7.EE.B.4A

Front

What is the importance of checking your solution in an equation?

Back

Checking your solution ensures that the value satisfies the original equation, confirming its correctness.

Tags

CCSS.8.EE.C.7B