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Question 1 A) NOTE: In the bottom right corner of each question, you will see an option to check answer. Click this to check your answer before submitting. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature once per question. Translate following words into an equation and then solve the equation "twice a number plus 7, is 23" (1 point) Responses The number is 8 The number is 8 The number is 21 The number is 21 The number is16 The number is16 The number is 3 The number is 3 Question 2 A) NOTE: In the bottom right corner of each question, you will see an option to check answer. Click this to check your answer before submitting. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature once per question. Translate the following into an equation and then solve the equation. "Five less than the product of a number and -2 is -13 (1 point) Responses The number is -8 The number is -8 The number is -12 The number is -12 The number is -5 The number is -5 The number is 4 The number is 4 Question 3 A) NOTE: In the bottom right corner of each question, you will see an option to check answer. Click this to check your answer before submitting. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature once per question. Translate the following into an equation and then solve the equation. "Half a number plus 9, is -7" (1 point) Responses The number is -8 The number is -8 The number is -14 The number is -14 The number is -21 The number is -21 The number is -32 The number is -32 Question 4 A) NOTE: In the bottom right corner of each question, you will see an option to check answer. Click this to check your answer before submitting. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature once per question. Consider the unfinished equation 12(x - 3) + 18 = _______. Match the following expressions with the number of solutions the equation would have with that expression on the right-hand side. (3 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. 6(2x-3) 4(3x-3) 4(2x-3) One SolutionNo SolutionInfinite Solutions Question 5 A) NOTE: In the bottom right corner of each question, you will see an option to check answer. Click this to check your answer before submitting. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature once per question. A teacher is choosing between two options for a class field trip to an orchard .• At Orchard A, admission costs $9 per person, and 3 chaperones are required. • At Orchard B, the cost is $10 per person, but only 1 chaperone is required. • At each orchard, the same price applies to both chaperones and students Which orchard would be cheaper to visit if the class has 18 students? (1 point) Responses Not enough information Not enough information Orchard A Orchard A Orchard B Orchard B They cost the same They cost the same Question 6 A) NOTE: In the bottom right corner of each question, you will see an option to check answer. Click this to check your answer before submitting. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature once per question. A teacher is choosing between two options for a class field trip to an orchard .• At Orchard A, admission costs $9 per person, and 3 chaperones are required. • At Orchard B, the cost is $10 per person, but only 1 chaperone is required. • At each orchard, the same price applies to both chaperones and students Which orchard would be cheaper to visit if the class has 12 students? (1 point) Responses Not enough Information Not enough Information Orchard A Orchard A They cost the Same They cost the Same Orchard B Orchard B Question 7 A) NOTE: In the bottom right corner of each question, you will see an option to check answer. Click this to check your answer before submitting. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature once per question. A teacher is choosing between two options for a class field trip to an orchard .• At Orchard A, admission costs $9 per person, and 3 chaperones are required. • At Orchard B, the cost is $10 per person, but only 1 chaperone is required. • At each orchard, the same price applies to both chaperones and students Which orchard would be cheaper to visit if the class has 17 students? (1 point) Responses Orchard B Orchard B Not enough Information Not enough Information Orchard A Orchard A They cost the same They cost the same Question 8 A) NOTE: In the bottom right corner of each question, you will see an option to check answer. Click this to check your answer before submitting. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature once per question. A town's total allowance for firefighter's wages and benefits in a new budget is $600,000. If wages are calculated at $40,000 per firefighter and benefits at $20,000 per firefighter, write an equation whose solution is the number of firefighters the town can employ if they spend their whole budget. Let x represent the number of fire fighters they higher. (1 point) Responses 40,000x-20,000=600,000 40,000x-20,000=600,000 40,000x +20,000 = 600,000 40,000x +20,000 = 600,000 60,000x = 600,000 60,000x = 600,000 20,000x+40,000=600,000 20,000x+40,000=600,000

3 answers

Sure! Let's go through each question step by step.

Question 1: Translate "twice a number plus 7, is 23" into an equation:

  • Let the number be \( x \).
  • The equation becomes: \( 2x + 7 = 23 \).

Now, solve for \( x \):

  1. Subtract 7 from both sides: \( 2x = 16 \).
  2. Divide both sides by 2: \( x = 8 \).

Correct response: The number is 8.

Question 2: Translate "Five less than the product of a number and -2 is -13":

  • Let the number be \( x \).
  • The equation becomes: \( -2x - 5 = -13 \).

Now, solve for \( x \):

  1. Add 5 to both sides: \( -2x = -8 \).
  2. Divide both sides by -2: \( x = 4 \).

Correct response: The number is 4.

Question 3: Translate "Half a number plus 9, is -7":

  • Let the number be \( x \).
  • The equation becomes: \( \frac{1}{2}x + 9 = -7 \).

Now, solve for \( x \):

  1. Subtract 9 from both sides: \( \frac{1}{2}x = -16 \).
  2. Multiply both sides by 2: \( x = -32 \).

Correct response: The number is -32.

Question 4: Consider the equation \( 12(x - 3) + 18 = ? \).

Let's simplify the left side:

  • Distributing gives \( 12x - 36 + 18 = 12x - 18 \).

Now we need to match this with the provided expressions:

  1. For 6(2x - 3):

    • This simplifies to \( 12x - 18 \) (one solution).

  2. For 4(3x - 3):

    • This simplifies to \( 12x - 12\) (one solution).

  3. For 4(2x - 3):

    • This simplifies to \( 8x - 12 \) (no solution with 12(x-3) + 18).

Correct Responses:

  • \( 6(2x-3) \): One Solution
  • \( 4(3x-3) \): One Solution
  • \( 4(2x-3) \): No Solution

Question 5: Calculate the cost for 18 students at both orchards:

  • Orchard A:

    • Cost per person: $9.
    • Cost for students: \( 18 \times 9 = 162 \).
    • Chaperones: 3 (so 3 x $9 = $27).
    • Total = \( 162 + 27 = 189 \).

  • Orchard B:

    • Cost per person: $10.
    • Cost for students: \( 18 \times 10 = 180 \).
    • Chaperones: 1 (so 1 x $10 = $10).
    • Total = \( 180 + 10 = 190 \).

Correct response: Orchard A.

Question 6: Now calculate for 12 students:

  • Orchard A:

    • Cost for students: \( 12 \times 9 = 108 \).
    • Chaperones: 3 (3 x $9 = $27).
    • Total = \( 108 + 27 = 135 \).

  • Orchard B:

    • Cost for students: \( 12 \times 10 = 120 \).
    • Chaperones: 1 (1 x $10 = $10).
    • Total = \( 120 + 10 = 130 \).

Correct response: Orchard B.

Question 7: Now for 17 students:

  • Orchard A:

    • Cost for students: \( 17 \times 9 = 153 \).
    • Chaperones: 3 (3 x $9 = $27).
    • Total = \( 153 + 27 = 180 \).

  • Orchard B:

    • Cost for students: \( 17 \times 10 = 170 \).
    • Chaperones: 1 (1 x $10 = $10).
    • Total = \( 170 + 10 = 180 \).

Correct response: They cost the same.

Question 8: Create an equation:

  • Wages per firefighter: $40,000.
  • Benefits per firefighter: $20,000.
  • Total expenditure: $600,000.

Let \( x \) be the number of firefighters: \[ 40,000x + 20,000x = 600,000 \] Combine: \[ 60,000x = 600,000. \]

Correct response: 60,000x = 600,000.

Feel free to use the check answer feature!

Question 1 A)What does the Law of Conservation of Mass state?(1 point) Responses Matter is neither created or destroyed in a chemical reaction, only rearranged. Matter is neither created or destroyed in a chemical reaction, only rearranged. Matter cannot be rearranged during a chemical reaction. Matter cannot be rearranged during a chemical reaction. The total mass of all of the reactants prior to a chemical reaction must equal the total mass of all the products after the reaction. The total mass of all of the reactants prior to a chemical reaction must equal the total mass of all the products after the reaction. The total mass of reactants prior to a chemical reaction is greater than the mass of the product due to the release of energy. The total mass of reactants prior to a chemical reaction is greater than the mass of the product due to the release of energy. Question 2 A)If the mass of elements before a chemical reaction is 30 grams, after the chemical reaction, the mass will be __. (1 point) Responses 32 grams 32 grams 30 grams 30 grams 28 grams 28 grams 0 grams 0 grams Question 3 A)78 g of potassium (K) react with 71 g of chlorine (Cl) to produce potassium chloride. According to the Law of Conservation of Mass, what is the mass of the product (2KCl)? (1 point) Responses 156 g 156 g 149 g 149 g 4 g 4 g 2 g 2 g Question 4 A)2 grams of potassium (K) reacts with 5 grams of Oxygen (O). According to the Law of Conservation of Mass, how many grams of potassium oxide (K2O) will be produced? (1 point) Responses 7 grams 7 grams 5 grams 5 grams 10 grams 10 grams 2 grams 2 grams Question 5 A)Which of the following equations demonstrates the Law of Conservation of Mass? (1 point) Responses CH+O2→CO2+H2OCH+O2→CO2+H2O CH4+O2→C+2H2OCH4+O2→C+2H2O CH4+O2→CO2+H2O

Here are the answers to the questions regarding the Law of Conservation of Mass:

Question 1

What does the Law of Conservation of Mass state?

  • Correct response: Matter is neither created or destroyed in a chemical reaction, only rearranged.

Question 2

If the mass of elements before a chemical reaction is 30 grams, after the chemical reaction, the mass will be:

  • Correct response: 30 grams.

Question 3

78 g of potassium (K) react with 71 g of chlorine (Cl) to produce potassium chloride. According to the Law of Conservation of Mass, what is the mass of the product (2KCl)?

  • Total mass before the reaction is \( 78 , \text{g} + 71 , \text{g} = 149 , \text{g} \).
  • Correct response: 149 g.

Question 4

2 grams of potassium (K) reacts with 5 grams of Oxygen (O). According to the Law of Conservation of Mass, how many grams of potassium oxide (K2O) will be produced?

  • Total mass before the reaction is \( 2 , \text{g} + 5 , \text{g} = 7 , \text{g} \).
  • Correct response: 7 grams.

Question 5

Which of the following equations demonstrates the Law of Conservation of Mass?

  • The equation must have the same number of atoms of each element on both sides of the reaction.
  • Correct response: CH₄ + O₂ → CO₂ + H₂O.

Feel free to check your answers and use the check answer feature!