1 of 11 of 1 Items
Question 1
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 + 43y)
Using the distributive property, the equivalent expression for it will be
(1 point)
Answer
2
x - 4 +
43/8
y
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?
8(−56) = (−56)8
(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?
7 + (3 + 1) = 7 + (1 + 3)
(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
Ordering the numbers from least to greatest:
-13, 7–√, 3–√, −2.3, 5.1
To find the expressions that are not equivalent to the given expression 2x + 2 - 5x + 7 - 3, we can simplify each option and compare them:
Option 1: 2x + 11 - 5x
Simplify: -3x + 11
Not equivalent
Option 2: -3x + 6
Simplify: -3x + 6
Equivalent
Option 3: 3x - 6
Simplify: 3x - 6
Not equivalent
Option 4: 2(x + 1) - 5x + 4
Simplify: 2x + 2 - 5x + 4
Simplify further: -3x + 6
Equivalent
Option 5: 2(x + 1) - 52
Simplify: 2x + 2 - 52
Simplify further: 2x - 50
Not equivalent
Option 6: x + 2
Equivalent
Option 7: 2(x + 1) - 5 halvesx + 2
This option seems to contain a typo as "5 halvesx" does not make sense. It should be written as "5/2*x" or "5x/2". We cannot evaluate the expression with this error.
So the expressions that are not equivalent to 2x + 2 - 5x + 7 - 3 are:
- Option 1: 2x + 11 - 5x
- Option 3: 3x - 6
- Option 5: 2(x + 1) - 52
Moving on to the next question:
To simplify the expression 18(16x - 32 + 43y) using the distributive property, we distribute 18 to each term inside the parentheses:
18(16x) - 18(32) + 18(43y)
288x - 576 + 774y
288x + 774y - 576
So the equivalent expression is 288x + 774y - 576.
Next question:
To find the expression equivalent to 13x - 2y - 3(x + 4y) with fewer terms, we can simplify the expression:
13x - 2y - 3x - 12y
(13x - 3x) + (-2y - 12y)
10x - 14y
So the expression equivalent to 13x - 2y - 3(x + 4y) with fewer terms is 10x - 14y.
Moving on to the next question:
To find the sum of 73 + (-38), we simply add the numbers:
73 + (-38) = 73 - 38 = 35
So the sum is 35.
Next question:
The property illustrated by the statement 8(-56) = (-56)8 is the Commutative Property of Multiplication. This property states that the order of multiplication does not affect the result.
Next question:
The property illustrated by the statement 7 + (3 + 1) = 7 + (1 + 3) is the Associative Property of Addition. This property states that the grouping of numbers being added does not affect the result.
Next question:
To order the given numbers from least to greatest:
7–√ = -2.645751311
−2.3
3–√ = 1.732050808
5.1
−13
Ordering from least to greatest:
-2.645751311, −13, −2.3, 1.732050808, 5.1