1. Franklin deposited $75 in a no-interest bank account when he opened it. After that, he deposits $50 per month in the account. Assume he makes no other withdrawals or deposits. The equation below can be used to find m , the number of months it will take him to save a total of $175.

Question

75 + ?m = 175

What number should he use as the coefficient of m?

50
75
125
175

2. Carina begins to solve the equation Negative 4 minus two-thirds x equals negative 6 by adding 4 to both sides. Which statements regarding the rest of the solving process could be true? Select three options.

After adding 4 to both sides, the equation is Negative two-thirds x equals negative 2.
After adding 4 to both sides, the equation is Negative two-thirds x equals negative 10.
The equation can be solved for using exactly one more step by multiplying both sides by Negative three-halves.
The equation can be solved for x using exactly one more step by dividing both sides by Negative two-thirds.
The equation can be solved for x using exactly one more step by multiplying both sides by Negative two-thirds.

3. For which equations below is x = –3 a possible solution? Select three options.

|x| = 3
|x| = –3
|–x| = 3
|–x| = –3
–|x| = –3

4. Zoe is solving the equation 3x – 4 = –10 for x.

She used the addition property of equality to isolate the variable term as shown.

3x – 4 = –10

3x – 4 + 4 = –10 + 4

3x = – 6

Which two properties of equality could Zoe use to finish solving for x?

either the addition or subtraction property of equality
either the multiplication or division property of equality
either the addition or multiplication property of equality
either the subtraction or division property of equality

5. For a snack, Sameer ate a plum with 32 calories and several strawberries with 4 calories each. If the total number of calories in Sameer’s snack was 56, how many strawberries did he eat?

6 strawberries
8 strawberries
14 strawberries
22 strawberries

6. The cost of performance tickets and beverages for a family of four can be modeled using the equation 4x + 12 = 48, where x represents the cost of a ticket. How much is one ticket?

$3.00
$4.00
$9.00
$15.00

7. In order to isolate the variable term in the equation 6 – 2x = –3 using the subtraction property of equality, which number should be subtracted from both sides of the equation?

–3
–2
3
6

8. For each hour he babysits, Anderson earns $1 more than half of Carey’s hourly rate. Anderson earns $6 per hour. Which equation can be used to solve for Carey’s hourly rate, c?

One-half c plus 1 equals 6
One-half c minus 1 equals 6
One-half c plus 6 equals 1
One-half c minus 6 equals 1

9. The cooking time for a mini-loaf of bread is 5 minutes longer than half the time it takes to bake a regular-sized loaf of bread. If it takes 25 minutes to bake a mini-loaf, how long does it take to bake a regular-sized loaf?

10 minutes
20 minutes
30 minutes
40 minutes

10. A school spent $150 on advertising for a breakfast fundraiser. Each plate of food was sold for $8.00 but cost the school $2.00 to prepare. After all expenses were paid, the school raised $2,400 at the fundraiser. Which equation can be used to find x, the number of plates that were sold?

6x – 150 = 2,400
6x + 150 = 2,400
10x – 150 = 2,400
10x + 150 = 2,400

Answer 1

Here are the answers to each question:

1. What number should he use as the coefficient of m?

   • Answer: 50

2. Which statements regarding the rest of the solving process could be true? Select three options.

   • After adding 4 to both sides, the equation is Negative two-thirds x equals negative 2.
   • The equation can be solved for x using exactly one more step by multiplying both sides by Negative three-halves.
   • The equation can be solved for x using exactly one more step by dividing both sides by Negative two-thirds.

3. For which equations below is x = –3 a possible solution? Select three options.

   • |x| = 3
   • |–x| = 3
   • –|x| = –3

4. Which two properties of equality could Zoe use to finish solving for x?

   • either the multiplication or division property of equality

5. How many strawberries did he eat?

   • 6 strawberries

6. How much is one ticket?

   • $9.00

7. Which number should be subtracted from both sides of the equation?

   • 6

8. Which equation can be used to solve for Carey’s hourly rate, c?

   • One-half c plus 1 equals 6

9. How long does it take to bake a regular-sized loaf?

   • 30 minutes

10. Which equation can be used to find x, the number of plates that were sold?

• 10x – 150 = 2,400

If you need further clarification on any answers or additional assistance, feel free to ask!

Answer 2

70 but i PASSED

Answer 3

It looks like you scored 70, which is a passing grade! If you have any specific questions about the answers or topics that you'd like to revisit or understand better, let me know, and I'd be happy to help you clarify. Congratulations on passing!