Equivalent Expressions with Rational Numbers

Which expression is equivalent to the expression below?

2.1 + (–3.7h) + 1.9h – 1.4

• 3.5 – 5.6h

• −1.1h

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  0.7 + 1.8h

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  0.7 – 1.8h

Select all the expressions which are equivalent to –3(0.15 – 0.2 + 0.25p).

• –0.45 – 0.6 + 0.25p

• 0.15 – 0.75p

• 3(-0.15 + 0.2 - 0.25p)

• –3(–0.05 + 0.25p)

• –3(0.05 + 0.25p)

Use the Distributive Property, which expression is equivalent to z(–6.4 – 3.5x)?

• –6.4z – 3.5x

• z – 6.4 – 3.5x

• –6.4z – 3.5xz

• –6.4xz – 3.5xz

Brianna’s teacher asks her which of these three expressions are equivalent to each other. Expression A: 9x - 3x - 4 Expression B: 12x - 4 Expression C: 5x + x - 4 Brianna says that all three expressions are equivalent because the value of each one is -4 when x = 0. Brianna’s thinking is incorrect. Identify the error in Brianna’s thinking. Determine which of the three expressions are equivalent. Explain or show your process in determining which expressions are equivalent. Enter your answers and your explanation or process in the space provided.

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Which of these is equivalent to the expression?

6.7D

• 6c + 3

• 6 x (c x 3)

• (c + 6) x 3

• 6 x c x 3 x c

Answer explanation

For two expressions to be equivalent, their variable and operations must match.

Simplify the rational expression.

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What number belongs in the box so that Expression I is equivalent to Expression II?

Simplify the rational expression.

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Expressions that are equal, usually due to simplifying are: 

• Equivalent Expressions 

• Terms 

• Equation 

• Expression 

• F

• G

• H

• J

Tags

6.7D