Math - F2 Exam Questions And Answers Verified 100%
Correct
What does 2y represent in the expression shown?
A. A binomial
B. A factor
C. A coefficient
D. A monomial - ANSWER Answer is D.
Option (D) is correct. The question requires an understanding of how to use
mathematical terms to
identify parts of expressions and describe expressions. A monomial is an algebraic
expression that consists of one term that is a number, a variable, or a product of a
number and a variable, where all exponents are whole numbers.
A unit square is partitioned into identical parts having equal areas. One of the parts is
removed from the square, and a shape is formed by the parts that remain after the
removal. For which of the following areas of the removed part will the shape that is
formed have the greatest area?
A. 1/4
B. 1/5
C. 1/6
D. 1/7 - ANSWER Answer is D.
Option (D) is correct. The question requires an understanding of how to recognize
concepts of rational numbers and their operations. If the unit square is partitioned in n
parts having equal area, the area of each part is 1/n. Therefore the area of the shape
that is formed when removing one of the identical parts is 1 - 1/n. The smaller is the
area of the removed part, the greater is the area of the shape that is left. Since 1/7 is
the smallest of the four fractions listed, the shape that has the greatest area is the one
that is left by removing a part with area 1/7.
a = 5,000 (1 + r)
The formula shown can be used to find the amount of money in dollars, a, in an account
at the end of one year when $5,000 is invested at simple annual interest rate r for the
year. Which of the following represents the independent variable in the formula?
A. a
B. 5,000
C. r
,D. 1+r - ANSWER Answer is C.
Option (C) is correct. The question requires an understanding of how to differentiate
between dependent and independent variables in formulas. In the given formula, there
are two variables, a and r. The formula can be used to investigate how the amount of
money a varies depending on the interest rate r. Therefore, the dependent variable is
a and the independent variable is r.
The surface area of a cube is 54 in2. What is the volume of the cube?
A. 27 in3
B. 54 in3
C. 81 in3
D. 108 in3 - ANSWER Answer is A.
Option (A) is correct. The question requires an understanding of how to solve problems
involving elapsed time, money, length, volume, and mass. If the length of the side of the
cube is s in, then its surface area is 6s^2 in2. Since the surface area is 54 in2 , then the
length of the side of the cube, in inches, can be found by solving the equation 6s^2 =
54, which yields s = 3 . The volume of the cube can then be found by solving the
equation V=s^3, thus V=3^3 . Therefore the volume is 27 in3 .
Click on the answer box and type in a number. Backspace to erase.
(0×10 ^4) + (4×10^3) +(0×10^2) + (5×10^1) + (2×10^0)
What number is represented by the base-10 expression shown? - ANSWER The
ANSWER is 4,052.
The question requires an understanding of how to write numbers using base-10
numerals, number names, and expanded form. Since 10^3 = 1,000, 10^2=100 , and
10^0 = 1, the expression shown is equivalent to (0) + (4 × 1,000) + (0) + (5 × 10) + (2 ×
1) = 4,000+50+2, which equals 4,052.
Which of the following expressions is equivalent to −4(3−2x) ?
A. −2x−12
B. 2x−12
C. −8x−12
D. 8x−12 - ANSWER Answer is D.
Option (D) is correct. The question requires an understanding of how to use the
distributive property
to generate equivalent linear algebraic expressions. Using the distributive property of
multiplication over addition, −4(3 − 2x) = −4(3) − 4(−2x); that is, −12 + 8x. Using the
commutative property of addition yields 8x− 12
, Carlos makes an annual salary of $65,295. Which of the following is Carlos' salary
rounded to the nearest thousand?
A. $65,000
B. $65,300
C. $66,000
D. $70,000 - ANSWER Answer is A.
Option (A) is correct. The question requires an understanding of how to round multidigit
numbers to any place value. To round to the nearest thousand, one must look at the digit
in the hundreds place first. The digit in the hundreds place is 2, which is less than 5.
Therefore, the digit in the thousands place is not changed when rounding to the nearest
thousand.
A painter used 1 1/2 cans of paint to paint 2/3 of a room. At this rate, how much more
paint does the painter need to paint the remainder of the room?
A. 1/3 can
B. 1/2 can
C. 3/4 can
D. 1 can - ANSWER Answer is C.
Option (C) is correct. The question requires an understanding of how to use proportional
relationships to solve ratio and percent problems. Since the painter has already painted
2/3 of the room, the painter still needs to paint 1 - 2/3, or 1/3 of the room. To determine
the amount
of paint x needed to paint the rest of the room, one can set up the proportion 1 1/2: 2/3
= x: 1/3, which yields the equation 2/3x = (1 1/2) x 1/3. Simplifying the right side of the
equation yields 2/3x =1/2. Therefore, x=3/2x1/2; that is, x=3/4.
Membership Length, Cost in
in months dollars
1 75
3 125
6 200
12 350
24 650
The table shows the cost of a membership to Gym B for the five possible membership
lengths. Gym A has the same possible membership lengths, and the cost, y, in dollars,
of a membership to Gym A for x months is given by the equation 2y−50x=85. Which of
the following is true about the cost, in dollars, of a membership to Gym A compared with
the cost of a membership to Gym B?
Correct
What does 2y represent in the expression shown?
A. A binomial
B. A factor
C. A coefficient
D. A monomial - ANSWER Answer is D.
Option (D) is correct. The question requires an understanding of how to use
mathematical terms to
identify parts of expressions and describe expressions. A monomial is an algebraic
expression that consists of one term that is a number, a variable, or a product of a
number and a variable, where all exponents are whole numbers.
A unit square is partitioned into identical parts having equal areas. One of the parts is
removed from the square, and a shape is formed by the parts that remain after the
removal. For which of the following areas of the removed part will the shape that is
formed have the greatest area?
A. 1/4
B. 1/5
C. 1/6
D. 1/7 - ANSWER Answer is D.
Option (D) is correct. The question requires an understanding of how to recognize
concepts of rational numbers and their operations. If the unit square is partitioned in n
parts having equal area, the area of each part is 1/n. Therefore the area of the shape
that is formed when removing one of the identical parts is 1 - 1/n. The smaller is the
area of the removed part, the greater is the area of the shape that is left. Since 1/7 is
the smallest of the four fractions listed, the shape that has the greatest area is the one
that is left by removing a part with area 1/7.
a = 5,000 (1 + r)
The formula shown can be used to find the amount of money in dollars, a, in an account
at the end of one year when $5,000 is invested at simple annual interest rate r for the
year. Which of the following represents the independent variable in the formula?
A. a
B. 5,000
C. r
,D. 1+r - ANSWER Answer is C.
Option (C) is correct. The question requires an understanding of how to differentiate
between dependent and independent variables in formulas. In the given formula, there
are two variables, a and r. The formula can be used to investigate how the amount of
money a varies depending on the interest rate r. Therefore, the dependent variable is
a and the independent variable is r.
The surface area of a cube is 54 in2. What is the volume of the cube?
A. 27 in3
B. 54 in3
C. 81 in3
D. 108 in3 - ANSWER Answer is A.
Option (A) is correct. The question requires an understanding of how to solve problems
involving elapsed time, money, length, volume, and mass. If the length of the side of the
cube is s in, then its surface area is 6s^2 in2. Since the surface area is 54 in2 , then the
length of the side of the cube, in inches, can be found by solving the equation 6s^2 =
54, which yields s = 3 . The volume of the cube can then be found by solving the
equation V=s^3, thus V=3^3 . Therefore the volume is 27 in3 .
Click on the answer box and type in a number. Backspace to erase.
(0×10 ^4) + (4×10^3) +(0×10^2) + (5×10^1) + (2×10^0)
What number is represented by the base-10 expression shown? - ANSWER The
ANSWER is 4,052.
The question requires an understanding of how to write numbers using base-10
numerals, number names, and expanded form. Since 10^3 = 1,000, 10^2=100 , and
10^0 = 1, the expression shown is equivalent to (0) + (4 × 1,000) + (0) + (5 × 10) + (2 ×
1) = 4,000+50+2, which equals 4,052.
Which of the following expressions is equivalent to −4(3−2x) ?
A. −2x−12
B. 2x−12
C. −8x−12
D. 8x−12 - ANSWER Answer is D.
Option (D) is correct. The question requires an understanding of how to use the
distributive property
to generate equivalent linear algebraic expressions. Using the distributive property of
multiplication over addition, −4(3 − 2x) = −4(3) − 4(−2x); that is, −12 + 8x. Using the
commutative property of addition yields 8x− 12
, Carlos makes an annual salary of $65,295. Which of the following is Carlos' salary
rounded to the nearest thousand?
A. $65,000
B. $65,300
C. $66,000
D. $70,000 - ANSWER Answer is A.
Option (A) is correct. The question requires an understanding of how to round multidigit
numbers to any place value. To round to the nearest thousand, one must look at the digit
in the hundreds place first. The digit in the hundreds place is 2, which is less than 5.
Therefore, the digit in the thousands place is not changed when rounding to the nearest
thousand.
A painter used 1 1/2 cans of paint to paint 2/3 of a room. At this rate, how much more
paint does the painter need to paint the remainder of the room?
A. 1/3 can
B. 1/2 can
C. 3/4 can
D. 1 can - ANSWER Answer is C.
Option (C) is correct. The question requires an understanding of how to use proportional
relationships to solve ratio and percent problems. Since the painter has already painted
2/3 of the room, the painter still needs to paint 1 - 2/3, or 1/3 of the room. To determine
the amount
of paint x needed to paint the rest of the room, one can set up the proportion 1 1/2: 2/3
= x: 1/3, which yields the equation 2/3x = (1 1/2) x 1/3. Simplifying the right side of the
equation yields 2/3x =1/2. Therefore, x=3/2x1/2; that is, x=3/4.
Membership Length, Cost in
in months dollars
1 75
3 125
6 200
12 350
24 650
The table shows the cost of a membership to Gym B for the five possible membership
lengths. Gym A has the same possible membership lengths, and the cost, y, in dollars,
of a membership to Gym A for x months is given by the equation 2y−50x=85. Which of
the following is true about the cost, in dollars, of a membership to Gym A compared with
the cost of a membership to Gym B?
