Open Up - Grade 7 - Mathematics - Unit 6 - Lesson 22

Jada says, “I can tell that \frac{-2}{3}(x + 5) + 4(x + 5) - \frac{10}{3}(x + 5) equals 0 just by looking at it.” Is Jada correct?

• Jada is correct
• Jada is incorrect

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Are the following expressions equivalent?A. 3x - 2x + 0.5x.a. 1.5x

• Equivalent
• Not Equivalent

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Are the following expressions equivalent?A. 3(x + 4) -2(x + 4).a. x+3

• Equivalent
• Not Equivalent

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Are the following expressions equivalent?A. 6(x + 4) -2(x + 5).a. 2(2x + 7)

• Equivalent
• Not Equivalent

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Are the following expressions equivalent?A. 3(x + 4) -2(x + 4)+0.5(x+4).a. 1.5

• Equivalent
• Not Equivalent

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For each situation, write an expression for the new balance using as few terms as possible.A checking account has a balance of -$126.89. A customer makes two deposits, one 3\frac{1}{2} times the other, and then withdraws $25.

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For each situation, write an expression for the new balance using as few terms as possible.A checking account has a balance of $350. A customer makes two withdrawals, one $50 more than the other. Then he makes a deposit of $75.

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Tyler is using the distributive property on the expression 9 -4(5x - 6). Here is his work:9-4(5x-6)9+(-4)(5x+-6)9+-20x+-63-20xMai thinks Tyler’s answer is incorrect. She says, “If expressions are equivalent then they are equal for any value of the variable. Why don’t you try to substitute the same value for x in all the equations and see where they are not equal?”Find the step where Tyler made an error.

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7.EE.1

Tyler is using the distributive property on the expression 9 -4(5x - 6). Here is his work:9-4(5x-6)9+(-4)(5x+-6)9+-20x+-63-20xMai thinks Tyler’s answer is incorrect. She says, “If expressions are equivalent then they are equal for any value of the variable. Why don’t you try to substitute the same value for x in all the equations and see where they are not equal?”Explain what he did wrong.

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7.EE.1

Tyler is using the distributive property on the expression 9 -4(5x - 6). Here is his work:9-4(5x-6)9+(-4)(5x+-6)9+-20x+-63-20xMai thinks Tyler’s answer is incorrect. She says, “If expressions are equivalent then they are equal for any value of the variable. Why don’t you try to substitute the same value for x in all the equations and see where they are not equal?”Correct Tyler’s work.

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7.EE.1