Question

44 if joyce spends 4 dollars on school lunch each day for 28 days, she will spend 4 × 28 dollars. which of the following is equal to 4 × 28?
a (4 × 20) + (4 × 8)
b (4 + 20) × (4 + 8)
c (4 + 20) + (4 + 8)
d (4 × 20) − (4 × 8)

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solo mission 12
45 what value of y makes the equation true?
25 × 230 = (25 × 200) + (25 × y)
a 30
b 25
c 20
d 10

Explanation:

Question 44

Step1: Recall Distributive Property

The distributive property states that \(a\times(b + c)=a\times b+a\times c\). We can split 28 into \(20 + 8\), so \(4\times28 = 4\times(20 + 8)\).

Step2: Apply Distributive Property

Using the distributive property \(a\times(b + c)=a\times b+a\times c\) with \(a = 4\), \(b = 20\), and \(c = 8\), we get \(4\times(20 + 8)=(4\times20)+(4\times8)\).

Step1: Recall Distributive Property

The distributive property is \(a\times(b + c)=a\times b+a\times c\). Here, \(25\times230=25\times(200 + y)\) (by comparing with \((25\times200)+(25\times y)\)).

Step2: Split 230

Since \(230=200 + 30\), then \(25\times230=25\times(200 + 30)=(25\times200)+(25\times30)\). So \(y = 30\).

Answer:

A. \((4\times20)+(4\times8)\)

Question 45