Module 3: Expressions and Equations Mid-Module Assessment

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16 Questions

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

11𝑥 + 9

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

4𝑚 − 2

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

28𝑛 − 35𝑚

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

5(2 − 5𝑤)

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

2(5𝑔 + 32)

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

𝑥 + (𝑥 + 2) = 54

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

𝑛 ≥ 13

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?

𝑤 ≤ 15

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

4𝑓 + 6𝑔 − 1

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

28𝑛 − 35𝑚

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

5(2 − 5𝑤)

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

8𝑎 + 5𝑏 − 9

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

$x + (x + 2) = 54$

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

$n ≥ 13$

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

$7(g - 5)$

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?

$w ≤ 11.5$

Test your understanding of expressions and equations with this mid-module assessment. Identify equivalent expressions and simplify given expressions to demonstrate your mastery of the topic.

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