Which of the following is the equivalence in pounds for 55 kg? (2.2 lb=1 kg)
82.2 lb
22.6 lb
121 lb
242 lb
Correct Answer : C
We are asked to convert kg to pounds using the given relation. If we let x to represent the lb we are asked to find, we set the proportion equation with kg on numerator and lb on the denominator as follows.

The equivalent value of 55kg is 121 lb.
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Correct Answer is A
Explanation
To find the area of the largest circle that can fit entirely inside a rectangle measuring 8 cm by 10 cm, follow these steps:
Step 1: Determine the largest possible circle
- The largest circle that can fit inside the rectangle will have a diameter equal to the smaller side of the rectangle.
- The rectangle has dimensions 8 cm × 10 cm, so the largest possible diameter is 8 cm (since the circle must fit within the rectangle).
Step 2: Find the radius
The radius r is half of the diameter:
r=8/2=4cm
Step 3: Calculate the area of the circle
The area of a circle is given by the formula:
A=πr2 =16πcm2
Correct Answer is A
Explanation
A dependent variable is one that changes when another variable changes. In this case, the cost of the phone will change depending on the change inbrand name, size of the RAM, and size of the battery. Thus, cost of a phone is a dependent variable.
Correct Answer is C
Explanation
We are asked to convert kg to pounds using the given relation. If we let x to represent the lb we are asked to find, we set the proportion equation with kg on numerator and lb on the denominator as follows.

The equivalent value of 55kg is 121 lb.
Correct Answer is C
Explanation
we set the conversion equation to find the unknown unit. Arrange the equation such that the unwanted units cancel out and the wanted unit remains.

The value 365.76 cm is close to 365 cm. Therefore, 4 yards is approximately 365 cm.
Correct Answer is D
Explanation
we are asked to find the number of gallons a full tank holds. A full tank is treated as 1 whole.
Letting x be the number of gallons in full tank and setting the proportion equation with the number of gallons on the numerator and fraction of tank on denominator as follows.

Convert the mixed fraction into proper fraction and cross-multiply to find the value of x.
x 1 full tank=185 gallons23full tank


A full tank holds 27/5 gallons, which when converted to a mixed fraction is 5 2/5.
Correct Answer is D
Explanation
we are asked to find the area of a rectangle, which can only be found by finding the relation between length and width. Now, letting x represent the width, then
Length of rectangle=(x+2)
Width of the rectangle= x
Area of the rectangle, A= Length*width=(x+2)*x
A=x(x+2)
Therefore, the area of the rectangle becomes x(x+2).
Correct Answer is A
Explanation
we use the relation 1 L=1000 mL and organize our equation in such a way that L cancels as:

Thus, 0.65 L is 650 mL.
Correct Answer is C
Explanation
We required to find the units of finding the weight of a sheet of paper. The SI unit of mass of an object is kilogram. However, kilogram is a large quantity that cannot be used to measure smaller objects.
Thus, derived units of mass are used to find the mass of other objects. In this case, the mass of a sheet paper can be recorded in grams.
Correct Answer is D
Explanation
in this case, we express James’ uncle’s age in terms of James’ age. From the equation:
James’ age is n
James’s uncle’s age is m=3n-13
Thus, the relation that relates James’ uncle’s age in terms of James’ age is m=3n-13.
Correct Answer is B
Explanation
we are to use the pie chart to find the number of students enrolled in dental hygiene care.
Letting x represent the number of students enrolled in dental hygiene care, we set the proportion equation with number of students as numerator and percentage as denominator. It should be noted that the whole pie chart represents 100% of the 800 students. Then,

We solve the value of x by cross-products.

Therefore, 144 students will enroll for a dental hygiene program.
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