For which equation is the order of steps to first divide both sides by 2 and then to subtract 10 from both sides?(1 point)

Responses

2x + 10 = 16
2 x plus 10 equals 16

2(x + 10) = 16
2 Left Parenthesis x plus 10 Right Parenthesis equals 16

10(x + 2) = 16
10 Left Parenthesis x plus 2 Right Parenthesis equals 16

2(x − 10) = 16

11 answers

To identify the equation for which the order of steps is to first divide both sides by 2 and then to subtract 10 from both sides, we can analyze each option:

  1. Equation: 2x + 10 = 16

    • If we divide both sides by 2, we get: \[ x + 5 = 8 \]
    • Subtracting 5 gives: \[ x = 3 \]
    • This matches the required order of steps.
  2. Equation: 2(x + 10) = 16

    • Dividing both sides by 2: \[ x + 10 = 8 \]
    • Subtracting 10 gives: \[ x = -2 \]
    • This does not match the order.
  3. Equation: 10(x + 2) = 16

    • Dividing both sides by 10: \[ x + 2 = 1.6 \]
    • Subtracting 2 gives: \[ x = -0.4 \]
    • This does not match the order.
  4. Equation: 2(x − 10) = 16

    • Dividing both sides by 2: \[ x - 10 = 8 \]
    • Subtracting 10 gives: \[ x = 18 \]
    • This does not match the order.

Ultimately, the only equation where the order of steps is to first divide both sides by 2 and then subtract 10 is:

2x + 10 = 16.

What is the solution of the equation −4(z + 12) = 36 when solving for z
? (1 point)
Responses

24
24

−6
negative 6

21
21

−21

To solve the equation \(-4(z + 12) = 36\) for \(z\), follow these steps:

  1. Divide both sides by -4: \[ z + 12 = \frac{36}{-4} \] \[ z + 12 = -9 \]

  2. Subtract 12 from both sides: \[ z = -9 - 12 \] \[ z = -21 \]

Thus, the solution for \(z\) is −21.

Which reference resource best helps a reader determine the meaning of technical words in a text?(1 point)
Responses

dictionary
dictionary

thesaurus
thesaurus

index
index

glossary
glossary
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The reference resource that best helps a reader determine the meaning of technical words in a text is a glossary. A glossary typically provides definitions of specialized terms used within a particular document or field.

So the correct response is: glossary.

Which options describes what a thesaurus is used for?(1 point)
Responses

finding the definition of a word
finding the definition of a word

finding synonyms and antonyms of a word
finding synonyms and antonyms of a word

finding the origins of a word
finding the origins of a word

finding the pronunciation of a word

The option that describes what a thesaurus is used for is finding synonyms and antonyms of a word. A thesaurus provides alternatives to words and helps writers find words with similar or opposite meanings.

So the correct response is: finding synonyms and antonyms of a word.

Wesley is giving a presentation in his science class and is unsure of how to pronounce the word phylum. Which resource should he consult?(1 point)
Responses

an online dictionary
an online dictionary

an online thesaurus
an online thesaurus

a glossary in his textbook
a glossary in his textbook

an index in his textbook

To find out how to pronounce the word "phylum," Wesley should consult an online dictionary. Online dictionaries typically provide pronunciation guides, including phonetic spelling and audio pronunciations.

So the correct response is: an online dictionary.

Bryan is writing a short story and wants to come up with a more interesting word to replace cold. Which is the best resource?(1 point)
Responses

a thesaurus
a thesaurus

an index
an index

a dictionary
a dictionary

a glossary

The best resource for Bryan to find a more interesting word to replace "cold" is a thesaurus. A thesaurus will provide him with synonyms that can help him find a more vivid or interesting alternative.

So the correct response is: a thesaurus.