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SIMPLIFY:

1. [tex]4 \cdot 9 + 1[/tex]
2. [tex]6 + 7 \cdot 10[/tex]

Answers:

A. [tex]42 - 2 \cdot 7[/tex]
B. 62
C. [tex]8 + 50 \div 2[/tex]
D. 27
E. [tex](10)(3) - 4[/tex]
F. 37
G. [tex]2 \cdot 8 + 3 \cdot 5[/tex]
H. 31
I. 33
J. 76
K. [tex]\frac{60}{3} - (2)(4)[/tex]
L. 12
M. [tex]5 \cdot 12 + \frac{32}{16}[/tex]
N. 0
O. 83
P. [tex]3 + 2 \cdot 5 \cdot 8[/tex]
Q. 28

Match each simplified expression with the correct answer.

Answer :

Sure! Let's simplify each expression step-by-step to understand how the calculations work.

1. Expression: [tex]\(4 \cdot 9 + 1\)[/tex]
- First, multiply [tex]\(4\)[/tex] by [tex]\(9\)[/tex] to get [tex]\(36\)[/tex].
- Then, add [tex]\(1\)[/tex] to [tex]\(36\)[/tex] to get the result [tex]\(37\)[/tex].

2. Expression: [tex]\(6 + 7 \cdot 10\)[/tex]
- First, multiply [tex]\(7\)[/tex] by [tex]\(10\)[/tex] to get [tex]\(70\)[/tex].
- Then, add [tex]\(6\)[/tex] to [tex]\(70\)[/tex] to get the result [tex]\(76\)[/tex].

Now, let's verify the evaluations for the other expressions, which were cross-referenced to find correct matches:

- Expression: [tex]\(42 - 2 \cdot 7\)[/tex]
- Multiply [tex]\(2\)[/tex] by [tex]\(7\)[/tex] to get [tex]\(14\)[/tex].
- Subtract [tex]\(14\)[/tex] from [tex]\(42\)[/tex] to get [tex]\(28\)[/tex].

- Expression: [tex]\(8 + \frac{50}{2}\)[/tex]
- Divide [tex]\(50\)[/tex] by [tex]\(2\)[/tex] to get [tex]\(25\)[/tex].
- Add [tex]\(25\)[/tex] to [tex]\(8\)[/tex] to get [tex]\(33\)[/tex].

- Expression: [tex]\((10)(3) - 4\)[/tex]
- Multiply [tex]\(10\)[/tex] by [tex]\(3\)[/tex] to get [tex]\(30\)[/tex].
- Subtract [tex]\(4\)[/tex] from [tex]\(30\)[/tex] to get [tex]\(26\)[/tex].

- Expression: [tex]\(2 \cdot 8 + 3 \cdot 5\)[/tex]
- Multiply [tex]\(2\)[/tex] by [tex]\(8\)[/tex] to get [tex]\(16\)[/tex].
- Multiply [tex]\(3\)[/tex] by [tex]\(5\)[/tex] to get [tex]\(15\)[/tex].
- Add [tex]\(16\)[/tex] and [tex]\(15\)[/tex] to get [tex]\(31\)[/tex].

- Expression: [tex]\(\frac{60}{3} - (2 \cdot 4)\)[/tex]
- Divide [tex]\(60\)[/tex] by [tex]\(3\)[/tex] to get [tex]\(20\)[/tex].
- Multiply [tex]\(2\)[/tex] by [tex]\(4\)[/tex] to get [tex]\(8\)[/tex].
- Subtract [tex]\(8\)[/tex] from [tex]\(20\)[/tex] to get [tex]\(12\)[/tex].

- Expression: [tex]\(5 \cdot 12 + \frac{32}{16}\)[/tex]
- Multiply [tex]\(5\)[/tex] by [tex]\(12\)[/tex] to get [tex]\(60\)[/tex].
- Divide [tex]\(32\)[/tex] by [tex]\(16\)[/tex] to get [tex]\(2\)[/tex].
- Add [tex]\(60\)[/tex] and [tex]\(2\)[/tex] to get [tex]\(62\)[/tex].

- Expression: [tex]\(3 + 2 \cdot 5 \cdot 8\)[/tex]
- First, multiply [tex]\(2\)[/tex] by [tex]\(5\)[/tex] to get [tex]\(10\)[/tex].
- Then, multiply [tex]\(10\)[/tex] by [tex]\(8\)[/tex] to get [tex]\(80\)[/tex].
- Add [tex]\(80\)[/tex] to [tex]\(3\)[/tex] to get [tex]\(83\)[/tex].

These are the simplified results for each expression.

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