(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
-
Q #1: The American with Disabilities Act (ADA) requires that the slope of a wheelchair ramp be no greater than 1:12. Which of the following is the minimum length of a ramp needed to provide access to a door that is 5.2 feet above the sidewalk?
A. 52 feet
B. 148 feet
C. 32.2 feet
D. 62.4 feet
Answer Explanation
In this problem slope represents the change in height above sidewalk to change in length of the ramp.
From the definition of slope
Letting x to be the minimum length of the ramp, then
Substituting with the known value of slope
Cross-multiply to find the value of x
Thus, the minimum length of the ramp needed is 62.4 feet to access to a door that is 5.2 feet above the sidewalk.
-
Q #2: A recipe calls for 6.5 teaspoons of vanilla. 1 teaspoon equals approximately 4.93 mL. Which of the following is the correct amount of vanilla in mL? (Use the conversion rates as provided)
A. 32.05 mL
B. 29.55 mL
C. 34.20 mL
D. 25.80 mL
Answer Explanation
Explanation:
We need to find the mL in 6.5 teaspoons from the given information.
If we let x represent the amount of vanilla in mL, and set a proportion equation with number of teaspoons as numerator and mL as denominator, then:
(frac{6.5}{x} = frac{1}{4.93})
Find the value of x by cross-products
6.5 * 4.93 = x
32.05 = x
Therefore, 6.5 teaspoons equal 32.05 mL.
-
Q #3: Soft Drinks Orange Two 24-packs for $20; one 24-pack for $15 Root Beer One 24-pack for $18 Cream Soda One 12-pack for $10 A consumer needs to purchase at least 60 soft drinks for a picnic. Which of the following combinations is the most cost-effective?
A. 2 packs of Orange and 1 pack of Cream Soda
B. 3 packs of Orange
C. 2 packs of Root Beer and 1 pack of Cream Soda
D. 5 packs of cream Soda
Answer Explanation
To find the cheapest option, we find the amount the consume will spend for each option given.:
2 packs of Orange and 1 pack of Cream Soda will cost $20 + $10 = $30
3 Packs of Orange will cost $20+$15=$35
2 packs of Root Beer and 1 pack of Cream Soda will cost 2($18)+$10= $46
5 packs of cream Soda will cost 5($10)=$50
From the above evaluation, the cheapest option will cost the consumer $30.
Thus, buying 2 packs of Orange and 1 pack of Cream Soda will be cheaper to purchase compared to other options.
-
Q #4: Which of the following is the independent variable in the equation below? p(n)=2n+9
A. n
B. 9
C. p
D. 4
Answer Explanation
An independent variable is a variable that is manipulated or changed in the experiment. Based on the given equation, the variable n is the one changed to get the required output, p. Thus, n is the independent variable.
-
Q #5: Which of the following is the mean of the test scores listed below? 90, 87, 74, 84, 93, 78
A. 87
B. 78
C. 90
D. 84
Answer Explanation
The mean of a data set is the total scores divided by the number of tests.
Total test scores =90+87+74+ 84+93+76=504
Number of tests =6 Mean test score =506/6=84
The mean test score is 84
-
Q #6: Which of the following is the length of the unknown leg of a right triangle that has one leg length of 6 feet and a hypotenuse of 14 feet? (Round to the nearest tenth.)
A. 15 feet
B. 12.6 feet
C. 18.3 feet
D. 9.2 feet
Answer Explanation
-
Q #7: Which of the following is the equivalence in pounds for 210 kg? (2.2 lb=1 kg)
A. 522 lb
B. 632 lb
C. 420 lb
D. 462 lb
Answer Explanation
We are asked to convert 210 kg to pounds using the given relation. We set up the following equation
The equivalence of 210 kg is 462 lb.
-
Q #8: Which of the following is the best approximation of 4 times the positive cube root of 23?
A. 12.7
B. 11.4
C. 16.2
D. 96.7
Answer Explanation
-
Q #9: Which of the following is the appropriate unit of a measure to express the weight of a pen?
A. Liter
B. Milliliter
C. Gram
D. Kilogram
Answer Explanation
Although we can measure the mass of the pen in kilogram, the unit is quite large and is not appropriate for measuring small objects. Liter and milliliter are units of measuring volume. Thus, gram is the appropriate unit for measuring weight of a pen.
-
Q #10: Joe’s uncle is eight less than four times Joe’s age. Which of the equations represents Joe’s uncle’s age (u) as it relates to Joe’s age (k)?
A. u=8-4k
B. k=4u-8
C. k=8-4u
D. u=4k-8
Answer Explanation
We are asked to form an equation to find Joe’s uncle’s age to the age of Joe.
First, we find Joe’s age which is k. We know that Joe’s uncle’s age is four times that of Joe less 8. Then,
Joe’s uncle’s age, u = 4k-8.
Thus, the age of Joe’s uncle is u=4k-8.
