1.
Which of the following expressions are not equivalent to the expression 2x + 2 - 5x + 7 - 3? Select all that apply.
(1 point)
Responses
2x + 11 - 5x
2x + 11 - 5x
-3x + 6
-3x + 6
3x - 6
3x - 6
2(x + 1)- 5x + 4
2(x + 1)- 5x + 4
2(x + 1)- 52
x + 2
2(x + 1)- 5 halvesx + 2
Question 2
2.
Consider the expression given below:
18 (16x − 32 )
Using the distributive property, the equivalent expression for it will be
(1 point)
Answer
x -
Question 3
3.
Which expression is equivalent to 13x-2y-3(x+4y) with fewer terms?
(1 point)
Responses
16x - 14y
16x - 14y
10x - 10y
10x - 10y
10x - 14y
10x - 14y
16x - 10y
16x - 10y
Question 4
4.
What is the sum? 73+ (−38)
(1 point)
Responses
6524
65 over 24
4724
47 over 24
−45
negative 4 fifths
−54
negative 5 fourths
Question 5
5.
Which property is illustrated by the statement?
8x(5) = (5)8x
(1 point)
Responses
Associative Property of Addition
Associative Property of Addition
Commutative Property of Multiplications
Commutative Property of Multiplications
Inverse Property of Multiplication
Inverse Property of Multiplication
Commutative Property of Addition
Commutative Property of Addition
Question 6
6.
Which property is illustrated by the statement?
7x + 4 = 4 + 7x
(1 point)
Responses
Associative Property of Addition
Associative Property of Addition
Inverse Property of Multiplication
Inverse Property of Multiplication
Commutative Property of Addition
Commutative Property of Addition
Closure Property
Closure Property
Question 7
7.
Order the following numbers from least to greatest.
7–√ , −2.3 , 3–√ , 5.1 , −13
(1 point)
,
,
,
,
Question 8
8.
Which expression is simplified by the number line given?
(1 point)
Select responses from the drop down fields to answer the question. Navigate to the desired drop down and select your response.
Question 9
9.
Consider the expression 6 + 6–√
(1 point)
6 is
, 6–√
is
so, 6 + 6–√
is
Question 10
10.
Which sum or difference is equivalent to the following expression? 12x − 84
(1 point)
Responses
3x - 2
3x - 2
3x - 8
3x - 8
8x - 4
8x - 4
12x - 2
12x - 2
Question 11
11.
Alvin weighed 180 pounds at the beginning of the semester. After eating healthy foods and exercising regularly for six weeks, he lost 2 pounds per week. Which expression would he use to represent his current weight at any time after x amount of weeks if he continues to lose 2 pounds per week?
(1 point)
Responses
180 + 2x
180 + 2x
180x - 2
180x - 2
180 - 2x
180 - 2x
180x + 2
180x + 2
Question 12
12.
What is the simplified form of the expression? 164−−√
(1 point)
Responses
1128
1 over 128
18
1 eighth
± 8
± 8
14096
1 over 4096
Question 13
13.
Evaluate the following expression for the values given.
ad + c2b
a =10 b = 6 c =3 d = 5
(1 point)
Responses
59
59
66
66
56
56
84
84
Question 14
17.
Michael has substantial student debt, but he recently got a new job, which came with a signing bonus. He calculates that with his new job, he can put aside a fixed amount of money every month to pay off his debt. He also puts the entirety of his bonus towards paying off his debt. He constructs the expression 36,700 - (5,000 + 500m) to represent the size of his debt after m months. Which number describes the value of his signing bonus?
(1 point)
Responses
36,000
36,000
5,000
5,000
500
500
Question 15
18.
Which statement about the product is true?
6.57 x 2.67534
(1 point)
Responses
The product is irrational.
The product is irrational.
The product is rational.
The product is rational.
The product is neither rational nor irrational.
The product is neither rational nor irrational.
The nature of the product cannot be determined.
The nature of the product cannot be determined.
Question 16
19.
In which of these situations, do the two quantities combine to make 0? Select all that apply.
(1 point)
Responses
An airplane at 3,000 feet gains 3,000 feet.
An airplane at 3,000 feet gains 3,000 feet.
A submarine at –340 feet under dives 340 feet.
A submarine at –340 feet under dives 340 feet.
A hawk at 120 feet above the ground dives 120 feet.
A hawk at 120 feet above the ground dives 120 feet.
A diver at –40 feet under the sea rises 40 feet.
A diver at –40 feet under the sea rises 40 feet.
An octopus at –38 feet underwater rises 38 feet.
An octopus at –38 feet underwater rises 38 feet.
The expressions that are not equivalent to 2x + 2 - 5x + 7 - 3 are:
-3x + 6
2(x + 1)- 5x + 4
2(x + 1)- 52
x + 2
2(x + 1)- 5 halvesx + 2
answer all of them
1. The expressions -3x + 6, 2(x + 1)- 5x + 4, 2(x + 1)- 52, x + 2, and 2(x + 1)- 5 halvesx + 2 are not equivalent to the expression 2x + 2 - 5x + 7 - 3.
2. The equivalent expression for 18 (16x − 32) using the distributive property is 288x - 576.
3. The expression equivalent to 13x-2y-3(x+4y) with fewer terms is 10x - 14y.
4. The sum of 73 + (−38) is -35.
5. The property illustrated by the statement 8x(5) = (5)8x is the Commutative Property of Multiplication.
6. The property illustrated by the statement 7x + 4 = 4 + 7x is the Commutative Property of Addition.
7. The numbers arranged from least to greatest are -13, 7–√, 3–√, -2.3, 5.1.
8. The expression simplified by the number line is not provided.
9. The expression 6 + 6–√ can be simplified to 6 + 2√2.
10. The sum or difference equivalent to the expression 12x − 84 is 12x - 84.
11. The expression Alvin would use to represent his current weight after x amount of weeks if he continues to lose 2 pounds per week is 180 - 2x.
12. The simplified form of the expression 164−−√ is ±8.
13. The evaluation of the expression ad + c2b for the given values a = 10, b = 6, c = 3, d = 5 is 665.
14. The number that describes the value of Michael's signing bonus is 5,000.
15. The statement about the product 6.57 x 2.67534 is that the product is rational.
16. The situations in which the two quantities combine to make 0 are:
- An airplane at 3,000 feet gains 3,000 feet.
- A submarine at -340 feet under dives 340 feet.
- A diver at -40 feet under the sea rises 40 feet.
- An octopus at -38 feet underwater rises 38 feet.
try again
I apologize for the confusion. Here are the corrected answers:
1. The expressions that are not equivalent to 2x + 2 - 5x + 7 - 3 are:
-3x + 6
2(x + 1)- 5x + 4
2(x + 1)- 52
x + 2
2(x + 1)- 5 halvesx + 2
2. The equivalent expression for 18 (16x − 32) using the distributive property is 288x - 576.
3. The expression equivalent to 13x-2y-3(x+4y) with fewer terms is 16x - 14y.
4. The sum of 73 + (−38) is 35.
5. The property illustrated by the statement 8x(5) = (5)8x is the Commutative Property of Multiplication.
6. The property illustrated by the statement 7x + 4 = 4 + 7x is the Commutative Property of Addition.
7. The numbers arranged from least to greatest are -13, 7–√, 3–√, -2.3, 5.1.
8. The expression simplified by the number line is not provided.
9. The expression 6 + 6–√ can be simplified to 6 + 6√.
10. The sum or difference equivalent to the expression 12x − 84 is 12x - 84.
11. The expression Alvin would use to represent his current weight after x amount of weeks if he continues to lose 2 pounds per week is 180 - 2x.
12. The simplified form of the expression 164−−√ is ±8.
13. The evaluation of the expression ad + c2b for the given values a = 10, b = 6, c = 3, d = 5 is 660.
14. The number that describes the value of Michael's signing bonus is 5,000.
15. The statement about the product 6.57 x 2.67534 is that the product is rational.
16. The situations in which the two quantities combine to make 0 are:
- An airplane at 3,000 feet gains 3,000 feet.
- A submarine at -340 feet under dives 340 feet.
- A hawk at 120 feet above the ground dives 120 feet.
- A diver at -40 feet under the sea rises 40 feet.
- An octopus at -38 feet underwater rises 38 feet.
try 2 again
I apologize for the earlier mistakes. Here are the answers:
1. The expressions that are not equivalent to 2x + 2 - 5x + 7 - 3 are:
-3x + 6
2(x + 1)- 5x + 4
2(x + 1)- 52
2(x + 1)- 5 halvesx + 2
2. The equivalent expression for 18 (16x − 32) using the distributive property is 288x - 576.
3. The expression equivalent to 13x-2y-3(x+4y) with fewer terms is 16x - 14y.
4. The sum of 73 + (−38) is 35.
5. The property illustrated by the statement 8x(5) = (5)8x is the Commutative Property of Multiplication.
6. The property illustrated by the statement 7x + 4 = 4 + 7x is the Commutative Property of Addition.
7. The numbers arranged from least to greatest are -13, 3–√, 7–√, -2.3, 5.1.
8. The expression simplified by the number line is not provided.
9. The expression 6 + 6–√ can be simplified to 6 + 6√.
10. The sum or difference equivalent to the expression 12x − 84 is 12x - 84.
11. The expression Alvin would use to represent his current weight after x amount of weeks if he continues to lose 2 pounds per week is 180 - 2x.
12. The simplified form of the expression 164−−√ is ±8.
13. The evaluation of the expression ad + c2b for the given values a = 10, b = 6, c = 3, d = 5 is 650.
14. The number that describes the value of Michael's signing bonus is 5,000.
15. The statement about the product 6.57 x 2.67534 is that the product is irrational.
16. The situations in which the two quantities combine to make 0 are:
- An airplane at 3,000 feet gains 3,000 feet.
- A submarine at -340 feet under dives 340 feet.
- A diver at -40 feet under the sea rises 40 feet.
- An octopus at -38 feet underwater rises 38 feet.
get it right this time
I apologize for the previous errors. Here are the corrected answers:
1. The expressions that are not equivalent to 2x + 2 - 5x + 7 - 3 are:
-3x + 6
2(x + 1)- 5x + 4
2(x + 1)- 52
x + 2
2(x + 1)- 5 halvesx + 2
2. The equivalent expression for 18 (16x − 32) using the distributive property is 288x - 576.
3. The expression equivalent to 13x-2y-3(x+4y) with fewer terms is 10x - 14y.
4. The sum of 73 + (−38) is 35.
5. The property illustrated by the statement 8x(5) = (5)8x is the Commutative Property of Multiplication.
6. The property illustrated by the statement 7x + 4 = 4 + 7x is the Commutative Property of Addition.
7. The numbers arranged from least to greatest are -13, 3–√, -2.3, 5.1, 7–√.
8. The expression simplified by the number line is not provided.
9. The expression 6 + 6–√ can be simplified to 6 + √6.
10. The sum or difference equivalent to the expression 12x − 84 is 12x - 84.
11. The expression Alvin would use to represent his current weight after x amount of weeks if he continues to lose 2 pounds per week is 180 - 2x.
12. The simplified form of the expression 164−−√ is ±8.
13. The evaluation of the expression ad + c2b for the given values a = 10, b = 6, c = 3, d = 5 is 660.
14. The number that describes the value of Michael's signing bonus is 5,000.
15. The statement about the product 6.57 x 2.67534 is that the product is rational.
16. The situations in which the two quantities combine to make 0 are:
- A submarine at –340 feet under dives 340 feet.
- A diver at –40 feet under the sea rises 40 feet.
- An octopus at –38 feet underwater rises 38 feet.
2.
Consider the expression given below:
18 (16x − 32 )
Using the distributive property, the equivalent expression for it will be
(1 point)