1.What is the solution of the equation x + 24 = −17
?(1 point)
Responses
−7
negative 7 - no response given
41
41 - no response given
−41
negative 41 - correct
7
7 - no response given
2.Which of the following equations has the same solution as the equation x + 12 = −14
?(1 point)
Responses
x − 0.70 = −0.05
x − 0.70 = −0.05
- no response given
x + 1.5 = 0.75
x + 1.5 = 0.75
- correct
x + 12 = 54
x + 12 = 54
- no response given
x − 14 = 1
3.Nick bought groceries for n
dollars. He had a coupon for $15.50 off. He paid $34.63 including tax for the groceries he purchased. Which equation represents the original cost of groceries Nick bought? What was this amount?(1 point)
Responses
n + 34.63 = 15.50
; the original cost of the groceries Nick bought was $50.13.
n plus 34.63 equals 15.50 ; the original cost of the groceries Nick bought was $50.13.
n − 34.63 = 15.50
; the original cost of the groceries Nick bought was $19.13.
n minus 34.63 equals 15.50 ; the original cost of the groceries Nick bought was $19.13.
n + 15.50 = 34.63
; the original cost of the groceries Nick bought was $19.13.
n plus 15.50 equals 34.63 ; the original cost of the groceries Nick bought was $19.13.
n − 15.50 = 34.63
; the original cost of the groceries Nick bought was $50.13.
4.Mela wants to buy a pair of shoes that costs $40.99
including tax. She gives the cashier $50
. Which equation can be used to find the amount of change, c
, Mela receives? How much is her change?(1 point)
Responses
c − 40.99 = 50
; Mela receives $90.99 in change.
c minus 40.99 equals 50 ; Mela receives $90.99 in change.
c + 40.99 = 50
; Mela receives $9.01 in change.
c plus 40.99 equals 50 ; Mela receives $9.01 in change.
c + 50 = 40.99
; Mela receives $9.01 in change.
c plus 50 equals 40.99 ; Mela receives $9.01 in change.
c − 50 = 40.99
; Mela receives $90.99 in change
5.Which equation has a different solution than the rest?(1 point)
Responses
16x=64
16x equals 64
x4=−1
Start Fraction x over 4 End Fraction equals negative 1
x−2=2
Start Fraction x over negative 2 equals 2
−12x=48
6.Which of the following equations has a solution of −114
?(1 point)
Responses
−2x=211
negative 2 x equals Start Fraction 2 over 11 End Fraction
−12x=112
negative Start Fraction 1 over 2 End Fraction x equals Start Fraction 11 over 2 End Fraction
−2x=112
negative 2 x equals Start Fraction 11 over 2 End Fraction
12x=−11
7.A local pizza shop is selling pizza by the slice. Each slice costs $1.95. Which equation represents the total cost, c
, of buying 5 slices? (1 point)
Responses
c1.95 = 5
Start Fraction c over 1.95 End Fraction equals 5
c − 1.95 = 5
c minus 1.95 equals 5
5c = 1.95
5 c equals 1.95
1.95c = 5
8.A plumber charges $45 an hour. If the plumber charged Luke $180, how many hours did she work?(1 point)
Responses
4 hours
4 hours
3.5 hours
3.5 hours
3 hours
3 hours
4.5 hours
9.Angie is solving the equation −x+7=−11
. Her solution is as follows.
−x+7
=
−11
−7
−7
Subtract 7 from both sides.
x
=
−18
−11−7=−18
.
In which part of the solution, if any, did Angie make an error?
(1 point)
Responses
She did not make any errors.
She did not make any errors.
She subtracted −11
and −7
incorrectly.
She subtracted negative 11 and negative 7 incorrectly.
She did not divide both sides by −1
.
She did not divide both sides by negative 1 .
She subtracted 7 from both sides.
10. Question
Carlos is solving the equation 14x−52=−18
. His solution is as follows.
14x−52
=
−18
+52
+52
Add 52
to both sides.
14x
=
218
−18+52=−18+208=218
4⋅14x
=
4⋅218
Multiply both sides by 4.
x
=
212
4⋅218=212
.
In which part of the solution, if any, did Carlos make the first error?
(1 point)
Responses
He incorrectly added −18
and 52
.
He incorrectly added negative Start Fraction 1 over 8 End Fraction and Start Fraction 5 over 2 End Fraction .
He did not make any errors.
He did not make any errors.
He added 52
to both sides.
He added Start Fraction 5 over 2 End Fraction to both sides.
He multiplied both sides by 4.
11.Which real-world problem can be modeled by the equation 23x+13=29
?(1 point)
Responses
Gabriel bought a new pair of shoes for $29. This is $13 more than 23
the cost of his old shoes.
Gabriel bought a new pair of shoes for $29. This is $13 more than Start Fraction 2 over 3 End Fraction the cost of his old shoes.
Vanessa wants to save money for a new backpack that costs $29. She has saved $13. How long will it take her to save the money?
Vanessa wants to save money for a new backpack that costs $29. She has saved $13. How long will it take her to save the money?
If you do 23
of your homework problems today and 13 problems tomorrow, how long will it take you to complete 29 problems?
If you do Start Fraction 2 over 3 End Fraction of your homework problems today and 13 problems tomorrow, how long will it take you to complete 29 problems?
Luis needs to bring 29 oranges to a party. He has 23
of the oranges he needs and his brother will get another 13 oranges. How many oranges does Luis have
12.Which real-world scenario is true?(1 point)
Responses
You need to complete 15 math lessons. If you complete 312
math lessons today and 412
lessons per day after that, you can complete the lessons in 3 more days.
You need to complete 15 math lessons. If you complete 3 Start Fraction 1 over 2 End Fraction math lessons today and 4 Start Fraction 1 over 2 End Fraction lessons per day after that, you can complete the lessons in 3 more days.
You need to complete 15 math lessons. If you complete 412
math lessons today and 312
lessons per day after that, you can complete the lessons in 4 more days.
You need to complete 15 math lessons. If you complete 4 Start Fraction 1 over 2 End Fraction math lessons today and 3 Start Fraction 1 over 2 End Fraction lessons per day after that, you can complete the lessons in 4 more days.
You need to complete 15 math lessons. If you complete 312
math lessons today and 412
lessons per day after that, you can complete your lessons in 7 more days.
You need to complete 15 math lessons. If you complete 3 Start Fraction 1 over 2 End Fraction math lessons today and 4 Start Fraction 1 over 2 End Fraction lessons per day after that, you can complete your lessons in 7 more days.
You need to complete 15 math lessons. If you complete 412
math lessons today and 312
lessons per day after that, you can complete the lessons in 3 more days.
13.Delon has 37 tickets to use at the carnival. He uses 4 tickets to ride the carousel, and the rest to ride the roller coaster. Each ride on the roller coaster uses 3 tickets. How many times can he ride the roller coaster?(1 point)
Responses
11
11
8
8
10
10
14
14.Niall has read 100 pages in his book so far. The book has 520 pages total. If he plans to read 60 pages per night, how many nights will it take him to finish the book?(1 point)
Responses
7
7
4
4
10
10
8
8
15.Mira’s cell phone bill was $412. She had to pay an activation fee of $100. It also costs $52 per month for the phone. How many months does this bill cover? Identify the operations needed to solve this problem.(1 point)
Responses
subtraction and division
subtraction and division
addition and multiplication
addition and multiplication
addition and division
addition and division
subtraction and multiplication
3 answers
2. The equation that has the same solution as x + 12 = -14 is x + 1.5 = 0.75.
3. The equation that represents the original cost of groceries Nick bought is n + 34.63 = 15.50. The original cost of groceries Nick bought was $19.13.
4. The equation that can be used to find the amount of change, c, Mela receives is c - 40.99 = 50. Mela receives $9.01 in change.
5. The equation that has a different solution than the rest is x - 2 = 2.
6. The equation that has a solution of -114 is -2x = 112.
7. The equation that represents the total cost, c, of buying 5 slices is c = 1.95 * 5.
8. The plumber worked for 4 hours.
9. Angie made an error in subtracting -11 and -7 incorrectly.
10. Carlos made the first error in adding -18 and 52.
11. The real-world problem that can be modeled by the equation 23x + 13 = 29 is "Vanessa wants to save money for a new backpack that costs $29. She has saved $13. How long will it take her to save the money?"
12. The real-world scenario that is true is "You need to complete 15 math lessons. If you complete 3 1/2 math lessons today and 4 1/2 lessons per day after that, you can complete the lessons in 3 more days."
13. Delon can ride the roller coaster 11 times.
14. It will take Niall 7 nights to finish the book.
15. Mira's cell phone bill covers 6 months.