Asked by IGotYa
Multi-Step Equations UNIT TEST, Unit 8 Lesson 10
ANSWERS:
1. Add 4 to both sides
2. Multiplying both sides by 7 undoes the division of x by 7 in the original problem.
3. 12 = - x + 8
4. Divide both sides by 12
5. 35.2
6. - 1/5
7. 12.452
8. - 4.75
9. 12 (t + 10) = 180
10. $1.15
11. $1.30
12. 1.) 4 2.) 4 3.) 20 4.) 3 5.) 17
13. $0.70
14. 80,000
15. THIS QUESTION MUST BE ANSWERED IN YOUR OWN WORDS:
" Dea needs to figure out how much cheaper the ones she bought that were on sale were. She paid $1.50 less than the regular price and paid a total of $51.00 for all 6 of the tickets. To find out the regular price use: 6(p - $1.50) = $51.00.
Now simplify: 6p - 9 = 51
Add 9 to both sides: 6p - 9 + 9 = 51 + 9
6p = 60
Now divide both sides by 6: 6p/6 = 6/6 which means p = 10
This means the regular price of each ticket was $10.00
So,she bought 6 tickets that cost $51.00 total, and payed $1.50 less than the original price of $10.00 per ticket. Dea bought 6 tickets for $8.50 each which was a total of $51.00 dollars spent.
ANSWERS:
1. Add 4 to both sides
2. Multiplying both sides by 7 undoes the division of x by 7 in the original problem.
3. 12 = - x + 8
4. Divide both sides by 12
5. 35.2
6. - 1/5
7. 12.452
8. - 4.75
9. 12 (t + 10) = 180
10. $1.15
11. $1.30
12. 1.) 4 2.) 4 3.) 20 4.) 3 5.) 17
13. $0.70
14. 80,000
15. THIS QUESTION MUST BE ANSWERED IN YOUR OWN WORDS:
" Dea needs to figure out how much cheaper the ones she bought that were on sale were. She paid $1.50 less than the regular price and paid a total of $51.00 for all 6 of the tickets. To find out the regular price use: 6(p - $1.50) = $51.00.
Now simplify: 6p - 9 = 51
Add 9 to both sides: 6p - 9 + 9 = 51 + 9
6p = 60
Now divide both sides by 6: 6p/6 = 6/6 which means p = 10
This means the regular price of each ticket was $10.00
So,she bought 6 tickets that cost $51.00 total, and payed $1.50 less than the original price of $10.00 per ticket. Dea bought 6 tickets for $8.50 each which was a total of $51.00 dollars spent.
Answers
Answered by
GPT-4o mini
Here are the answers summarized and structured based on your initial response:
1. To isolate \(x\), add 4 to both sides of the equation.
2. Multiplying both sides by 7 undoes the division of \(x\) by 7 in the original problem.
3. The equation can be rewritten as: \(12 = -x + 8\).
4. To solve for \(x\), divide both sides by 12.
5. The value of \(x\) is \(35.2\).
6. The value of \(x\) is \(-\frac{1}{5}\).
7. The value of \(x\) is \(12.452\).
8. The value of \(x\) is \(-4.75\).
9. The equation is \(12(t + 10) = 180\).
10. The cost per item is $1.15.
11. The cost per item is $1.30.
12. The answers to the multi-step problems are:
1) 4
2) 4
3) 20
4) 3
5) 17
13. The cost is $0.70.
14. The total is 80,000.
15. *Answer in your own words*: "Dea needs to determine the original price of the tickets she purchased. She bought 6 tickets, each costing $1.50 less than the regular price, totaling $51.00. The equation to find the regular price \(p\) is 6(p - $1.50) = $51.00. Simplifying, we have: 6p - 9 = 51. Adding 9 to both sides gives us 6p = 60. Dividing by 6, we find p = $10.00. Thus, the regular price per ticket was $10.00. Since Dea paid $1.50 less, she purchased 6 tickets at $8.50 each, totaling $51.00."
This format clarifies the answers while maintaining the original math and reasoning.
1. To isolate \(x\), add 4 to both sides of the equation.
2. Multiplying both sides by 7 undoes the division of \(x\) by 7 in the original problem.
3. The equation can be rewritten as: \(12 = -x + 8\).
4. To solve for \(x\), divide both sides by 12.
5. The value of \(x\) is \(35.2\).
6. The value of \(x\) is \(-\frac{1}{5}\).
7. The value of \(x\) is \(12.452\).
8. The value of \(x\) is \(-4.75\).
9. The equation is \(12(t + 10) = 180\).
10. The cost per item is $1.15.
11. The cost per item is $1.30.
12. The answers to the multi-step problems are:
1) 4
2) 4
3) 20
4) 3
5) 17
13. The cost is $0.70.
14. The total is 80,000.
15. *Answer in your own words*: "Dea needs to determine the original price of the tickets she purchased. She bought 6 tickets, each costing $1.50 less than the regular price, totaling $51.00. The equation to find the regular price \(p\) is 6(p - $1.50) = $51.00. Simplifying, we have: 6p - 9 = 51. Adding 9 to both sides gives us 6p = 60. Dividing by 6, we find p = $10.00. Thus, the regular price per ticket was $10.00. Since Dea paid $1.50 less, she purchased 6 tickets at $8.50 each, totaling $51.00."
This format clarifies the answers while maintaining the original math and reasoning.