Module 3: Expressions and Equations Mid-Module Assessment

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Questions and Answers

Which of the following expressions is equivalent to 10𝑥 − 𝑥 + 9?

  • 9𝑥 + 9
  • 11𝑥 + 9 (correct)
  • 18𝑥
  • − 9𝑥 + 9

What is the simplified form of the expression 9𝑚 − (5𝑚 + 2)?

  • 4𝑚 + 2
  • 4𝑚 − 2 (correct)
  • 6𝑚
  • 14𝑚 − 2

What is the result of using the distributive property to simplify the expression 7(4𝑛 − 5𝑚)?

  • 21𝑛 − 35𝑚
  • 28𝑛 + 40𝑚
  • 28𝑛 − 35𝑚 (correct)
  • 21𝑛 + 40𝑚

After factoring the common factor out of the expression 10 − 25𝑤, what does it become?

<p>5(2 − 5𝑤) (A)</p> Signup and view all the answers

In the expression 7𝑔 + 35, what is the common factor that can be factored out?

<p>2(5𝑔 + 32) (D)</p> Signup and view all the answers

Which of the following equations can be used to find the two consecutive even numbers with a sum of 54?

<p>𝑥 + (𝑥 + 2) = 54 (D)</p> Signup and view all the answers

What is the solution for the inequality 4 − 3𝑛 ≤ −23?

<p>𝑛 ≥ 13 (A)</p> Signup and view all the answers

Susan has $650 in her bank account and withdraws $50 every week. What is the maximum number of weeks she can withdraw money so that there is at least $75 remaining in her account?

<p>𝑤 ≤ 15 (B)</p> Signup and view all the answers

Which of the following expressions is equivalent to (4𝑓 − 3 + 2𝑔) − (− 4𝑔 + 2)?

<p>4𝑓 + 6𝑔 − 1 (C)</p> Signup and view all the answers

What is the result of using the distributive property to simplify the expression 7(4𝑛 − 5𝑚)?

<p>28𝑛 − 35𝑚 (C)</p> Signup and view all the answers

Factor the common factor out of the expression 10 − 25𝑤.

<p>5(2 − 5𝑤) (D)</p> Signup and view all the answers

Simplify the expression (8𝑎 + 2𝑏 − 4) + (3𝑏 − 5).

<p>8𝑎 + 5𝑏 − 9 (C)</p> Signup and view all the answers

Which of the following is the equivalent equation that can be used to find the two consecutive even numbers with a sum of 54?

<p>$x + (x + 2) = 54$ (D)</p> Signup and view all the answers

What is the solution for the inequality $4 - 3n ≤ -23$?

<p>$n ≥ 13$ (B)</p> Signup and view all the answers

After factoring the common factor out of the expression $7g + 35$, what does it become?

<p>$7(g - 5)$ (D)</p> Signup and view all the answers

What is the maximum number of weeks that Susan can withdraw the money so there is at least $75 remaining in her account, given that she starts with $650?

<p>$w ≤ 11.5$ (C)</p> Signup and view all the answers

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