(frac{[2 (8 + 2 * 6)]}{(16 div 2)} = frac{40}{8} = 5) Simplify the expression above. Which of the following is correct?
A. 6
B. 2
C. 5
D. 3
We follow the order of operations to solve the given expression.
First, we start with the numerator and solve
[2(8+2*6)]
We start with multiplication in inner brackets, 2*6=12. The expression becomes
[2(8+12)]
Then, we conduct the addition of 8+12=20. Then, the expression yields
[2(20)] = 2*20 = 40
Now, we solve for denominator, which is 16/2=8.
Thus, the expression is reduced into
(frac{[2 (8 + 2 * 6)]}{(16 div 2)} = frac{40}{8} = 5)
The expression reduces into 5.
Therefore, the Correct Answer is C.
More Questions on TEAS 7 Math
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Q #1: To determine the cost of a meal, the restaurant considers the size of the meal, the number of toppings, and the amount of main ingredient. Which of the following is the dependent variable?
A. Amount of meal
B. Main ingredient
C. Cost of the meal
D. Number of toppings
Answer Explanation
We are asked to find the dependent variable from the given scenario. A dependent variable is one that changes to the change in an independent variable. In our problem, the cost of the meal will vary depending on the size of the meal, number of toppings, and amount of main ingredient. Therefore, cost is the dependent variable.
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Q #2: A circle has an area of 144 in2. Which of the following is the circumference of the circle in terms of pi ( )?
A. \(18 \pi in\)
B. \(6 \pi in\)
C. \(12 \pi in\)
D. \(24 \pi in\)
Answer Explanation
We need to find the circumference of the circle.
Before finding the circumference of a circle, we need to find the radius of the circle from the given area.
Let r be the radius of the circle, then the area of the circle is:
Substituting the value of area in the above equation
Dividing both sides by pi and taking square root on both sides yields
The radius of the circle with the given area is 12 in, and the circumference of the circle becomes:
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Q #3: A plastic bucket containing 4/5 gallons of water is 3/4 full. How many gallons of water is in one fully filled bucket?
A. 1 1/15
B. 2 4/15
C. 9/15
D. 11/15
Answer Explanation
Given:
- A plastic bucket containing 4/5 gallons of water is 3/4 full.
To find:
- How many gallons of water is in one fully filled bucket?
Let's use the proportion formula to solve this:
If 3/4 of the bucket is 4/5 gallons, then 1 full bucket (or 4/4 of the bucket) will contain how many gallons?
\(\frac{3}{4}\) of the bucket = \(\frac{4}{5}\) gallons \(\frac{4}{3}\) of the bucket = \(\frac{5}{4}\) gallons \(\frac{4}{4}\) of the bucket=\(?\) gallons
\(\frac{4}{4}\) of the bucket = x gallons
Cross multiplying: x = \(\frac{4}{4}*\frac{4}{5}\ *\ \frac{4}{3}x = \frac{4}{5}*\frac{4}{3} = x\)
\(x\ =\ \frac{16}{15}\)
Thus, a fully filled bucket contains \(\frac{16}{15}\ =\ 1\frac{1}{15}\) gallons of water. Therefore, the correct choice is:
Choice A: 1 1/15
