The Distributive Property Quiz Part 2
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Question
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Simplify the expression (7+5)+4⋅13−2
.
(1 point)
To simplify the expression (7+5)+4⋅13−2, we need to follow the order of operations.
First, we perform the addition inside the parentheses:
(7+5) = 12
The expression now becomes:
12 + 4⋅13−2
Next, we perform the multiplication:
4â‹…13 = 52
The expression now becomes:
12 + 52 - 2
Finally, we perform the addition and subtraction in order from left to right:
12 + 52 = 64
64 - 2 = 62
So the simplified expression is 62.
To simplify the expression (7+5)+4⋅13−2, we can follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
Step 1: Calculate the value inside the parentheses.
(7 + 5) = 12
Step 2: Perform multiplication.
12 + 4 * 13 - 2 = 12 + 52 - 2
Step 3: Perform addition and subtraction from left to right.
12 + 52 = 64
64 - 2 = 62
Therefore, the simplified expression is 62.
To simplify the given expression, follow the order of operations (also known as PEMDAS or BODMAS) which determines the sequence in which mathematical operations are performed:
P: Parentheses (simplify expressions within parentheses)
E: Exponents (perform any calculations involving exponents)
MD: Multiplication and Division (perform multiplication and division from left to right)
AS: Addition and Subtraction (perform addition and subtraction from left to right)
In this case, we have the expression (7+5)+4⋅13−2. Let's simplify it step by step:
Step 1: Add the numbers within the parentheses:
(7+5) = 12
Step 2: Replace the parentheses with the simplified result:
12+4⋅13−2
Step 3: Perform the multiplication:
4â‹…13 = 52
Step 4: Replace the multiplication with the simplified result:
12+52−2
Step 5: Perform the addition:
12+52 = 64
Step 6: Replace the addition with the simplified result:
64−2
Step 7: Perform the subtraction:
64−2 = 62
Therefore, the simplified expression is 62.
The Distributive Property Quiz Part 1
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Question
Multiple Choice
Use the Distributive Property to simplify the expression.
(–1)(4 – c)
(1 point)
Responses
4 – c
4 – c
–4 + c
–4 + c
4 + c
4 + c
–4 – c
To simplify the expression (–1)(4 – c) using the Distributive Property, we need to distribute the –1 to each term inside the parentheses.
Distributing the –1, we get:
–1 * 4 + –1 * (–c)
Simplifying each term, we have:
–4 + c
Therefore, the correct answer is:
–4 + c
Use the Distributive Property to simplify the expression.
4(2x ‒ 4)
(1 point)
Responses
8x + 4
8 x + 4
8x – 4
8 x – 4
8x – 16
8 x – 16
4x – 16
To simplify the expression 4(2x - 4) using the Distributive Property, we need to multiply each term inside the parentheses by 4.
Distributing the 4, we get:
4 * 2x - 4 * 4
Simplifying each term, we have:
8x - 16
Therefore, the correct answer is:
8x - 16.
Use the Distributive Property to simplify the expression.
(10 + 4y) one-half
(1 point)
Responses
5 + 2y
5 + 2 y
20 + 8y
20 + 8 y
5 + 4y
5 + 4 y
10 + 2y
To simplify the expression (10 + 4y) one-half using the Distributive Property, we need to distribute the one-half to each term inside the parentheses.
Distributing the one-half, we get:
(10 * one-half) + (4y * one-half)
Simplifying each term, we have:
5 + 2y
Therefore, the correct answer is:
5 + 2y.
To which subsets of real numbers does the number –22 belong? Choose all subsets that apply.
(1 point)
Responses
whole numbers
whole numbers
rational numbers
rational numbers
integers
integers
irrational numbers
irrational numbers
natural numbers