Wendy B.

Student at Texas A&M University

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Pre-Algebra

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Question:

Evaluate 3 + 4x (6 + 7) / 2 - 1 using the order of operations.

Wendy B.

Answer:

The order of operations are as follows: parentheses, multiplication, division, subtraction, and addition. Step 1: Evaluate what's in the parentheses (6+7) = 13 then rewrite the expression 3 + 4 x 13 / 2 - 1 Step 2: Looking from left to right, multiplication comes first so evaluate the multiplication 4 x 13= 52 then rewrite the expression 3 + 52 / 2 - 1 Step 3: Evaluate the division 52 / 2 = 26 then rewrite the expression 3 + 26 - 1 Step 4: Looking from left to right, addition comes first so evaluate the addition 3 + 26 = 29 then rewrite the expression 29 - 1 Step 5: Lastly, evaluate the subtraction 29 - 1 = 28 The answer to the expression is 28.

Basic Math

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Question:

Evaluate (1/2) + (2/5).

Wendy B.

Answer:

When adding fractions, you must first find a common denominator of the fractions. The first common denominator for the given fractions is 10. When multiplying whatever value to the bottom of the fraction to get the common denominator, you must also multiply that value to the numerator of the fraction. Therefore, you multiply (1/2) x (5/5) to get (5/10) and (2/5) x (2/2) to get (4/10). Now that you have two fractions with a common denominator, you add the numerators of the two fractions, keep the denominator, and then simplify. (5/10) + (4/10) = (9/10), which is already simplified.

Algebra

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Question:

Evaluation the expression 4(y-2) + 3x where y = 4 and x = 2.

Wendy B.

Answer:

Using the distributive property, multiply the 4 on (y-2). The resulting expression after this multiplication would be 4y - 8. With this new expanded portion, the original expression now becomes 4y - 8 + 3x where y = 4 and x = 2. You now plug the value 4 in for y and 2 in for x to get 4(4) - 8 + 3(2) and simplify. After simplifying, you get 16 - 8 + 6. Lastly, combine constants. The answer to the original expression is 14.

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