**1. Which of the following sets is not closed under subtraction?**

a. integers

b. real numbers

c. natural numbers

d. rational numbers

**2. A dress is marked down 45%. The cost, after taxes, is $39.95. If the tax rate is 8.75%, what was the original price of the dress?**

a. $45.74

b. $58.61

c. $66.79

d. $72.31

**3. Which of the following represents an inverse proportional relationship?**

a. y=3x

b. y=1/3 x

c. y=3/x

d. y=3x^2

**4. Which of the following expressions is equivalent to -3x(x-2)^2?**

a. -3x^3+6x^2-12x

b. -3x^3-12x^2+12x

c. -3x^2+6x

d. -3x^3+12x^2-12x

**5. A city is at an elevation of 6,700 feet. Which of the following best represents the elevation in miles?**

a. 0.77 miles

b. 1.27 miles

c. 1.56 miles

d. 1.89 miles

**6. A can has a radius of 1.5 inches and a height of 3 inches. Which of the following best represents the volume of the can?**

a. 17.2 in³

b. 19.4 in³

c. 21.2 in³

d. 23.4 in³

**7. An oatmeal manufacturer claims to include 18 ounces in each container, with a standard deviation of 0.3 ounces.**

** A random sample of 25 containers shows a mean of 17.9 ounces. Which of the following statements is true?**

a. The manufacturer’s claim is likely true, as evidenced by a p-value less than 0.05.

b. The manufacturer’s claim is likely true, as evidenced by a p-value greater than 0.05.

c. The manufacturer’s claim is likely false, as evidenced by a p-value less than 0.05.

d. The manufacturer’s claim is likely false, as evidenced by a p-value greater than 0.05.

**8. A professor claims that the average on his final exam is 82. A random sample of 30 students shows an exam mean of 83 and a standard deviation of 2 points. Which of the following statements is true?**

a. The professor’s claim is likely true, as evidenced by a p-value less than 0.05.

b. The professor’s claim is likely false, as evidenced by a p-value less than 0.05.

c. The professor’s claim is likely true, as evidenced by a p-value greater than 0.05.

d. The professor’s claim is likely false, as evidenced by a p-value greater than 0.05.

**Praxis II Pennsylvania Grades 4-8 Subject Concentration: Mathematics (5158) Test Answer Key**