Deck 17: Praxis II Math

Question 1

If y = 2x + 1, what is the arithmetic mean of 2x, 2x, y, and 3y, in terms of x?

A)2x
B)2x + 1
C)3x + 1
D)None of the above

Answer 1

3x + 1

Question 2

Fill in the blank: The right-hand column shown in the table below lists _______ for the indefinite integral F(x).
F'(x) = f(x) F(x) = f(x)dx
1/x Log | x |
Sin x - cos x
Cos x Sin x

A)Derivatives
B)Elementary functions
C)Elementary integrals
D)None of the above

Answer 2

Elementary functions

Question 3

Polynomial functions, logarithmic functions, and trigonometric functions are considered:

A)Derivatives
B)Elementary functions
C)Elementary integrals
D)None of the above

Answer 3

Elementary functions

Question 4

meter is equivalent to which of the following?

A)39.37 inches
B)3)4808333 feet
C)0)914 yards
D)All of the above

Question 5

A 100 ft tape was used to measure a horizontal line found to be 1,500 ft. The tape was then compared with a standard and found to be only 99.97 ft in length. The true length of the measured line is:

A)1,499.00
B)1,499.55 ft
C)1,500.00 ft
D)1,500.45 ft

Question 6

Which of the following trigonometric functions of a right angle is incorrect?

A)Cosecant = 1/sine
B)Secant = 1/sine
C)Cotangent = 1/tangent
D)All of the above

Question 7

Given a triangle with a base of 42.20 ft and a height of 63.10 ft, find the area of the triangle.

A)105.30 ft²
B)634.3 ft²
C)1,000 ft²
D)1,331.41 ft²

Question 8

In theory, the weight of an observation is defined to be ______ to the variance (standard error squared) of the observation.

A)Proportional
B)Inversely proportional
C)Equal
D)None of the above.

Question 9

The table below gives the value of the linear function f for several values of x. What is the value of a + b?
X 2 3 4
F(x) a 8 b

A)6
B)10
C)12
D)None of the above

Question 10

A point is reflected first over the line y = x, then over the x-axis, then over the y-axis. The resulting point has the coordinates (73, 14). The coordinates of the original point were which of the following?

A)(-14, -73)
B)(-73, 14)
C)(73, -14)
D)(73, 14)

Question 11

Which of the following uses the doubling method of informal counting to solve the equation "3 + 4 =" ?

A)(1+1+1) + (1+1+1+1) = 7
B)(3+4) + (3+4) - (3+4) = 7
C)3+4 = (3+3) +1 = 6+1 = 7
D)2+2+2+1 = 7

Question 12

Round 6148.11385 to the nearest thousandths place. What is the answer?

A)6000
B)6148
C)6148.113
D)6148.114

Question 13

A man buys a piece of land at auction which is 256 ft by 10 yds. How many acres did he buy? (There are 43,560 feet in an acre.)

A).059 acres
B).59 acres
C)1.76 acres
D).0176 acres
E).176 acres

Question 14

Last year, Smith's Auto Shop made gross revenue of $460,000. This year, their gross revenue increased significantly, by an amazing 25%. What was the gross revenue this year?

A)$525,000
B)$550,000
C)$560,000
D)$575,000
E)$585,000

Question 15

Silver Slides Waterpark is open 120 days every year. During that time, it is sunny on average 83% of the time. How many sunny days will the waterpark be open for?

A)92
B)98
C)99
D)100
E)102

Question 16

Sawyer's Pet Store has averaged a net profit of $2,500 per week for the past 11 weeks. What is the total net profit over this length of time?

A)$26,000
B)$27,500
C)$27,900
D)$28,000
E)$29,300

Question 17

A bike team with 11 riders will each bike 83 miles in the race. How many miles will they bike?

A)913
B)917
C)922
D)931
E)934

Question 18

Kathleen projects her expenditures for purchasing office supplies to be $85 per week. How much will she spend on office supplies over a 4-week time span?

A)$290
B)$325
C)$340
D)$355
E)$342

Question 19

A department store sells sweaters for $90. During a promotion, the sweaters are marked down 15%. What is the sale price of the sweaters?

A)$75.00
B)$76.50
C)$77.67
D)$78.14
E)$76.02

Question 20

A small firm allocates 28% of its gross profits into an account for insurance. Last year, the firm's gross profit was $400,000. What amount was deposited into the insurance account?

A)$100,000
B)$108,000
C)$109,500
D)$112,000
E)$128,000