Praxis 5001 Practice - Math

Which three-dimensional solid has 2 triangular faces and 3 rectangular faces?

A triangular prism

What is the 6th term of the sequence is the pattern is to find the difference between the 2 preceding numbers and then multiply by -3? {3,0,-9,-36,___,_?_}

-135 The difference between -9 and -36 is 27. 27*-3= -81 The difference between -36 and -81 is 45. 45*-3= -135

If the pattern continues, what is the next number? {2, 5, 14, 41, 122, ...}

365 The pattern follows the equation 3n-1=x n = the last number in the set

Lynn has four grades in science class. Each grade is worth 100 points. Lynn has an 85% average. If Lynn makes 100% on each of the first 3 grades, what does she earn on her 4th grade?

40% Add all the scores and divide by the total # of scores. (100+100+100+x)/4=85 (300+x)/4=85 (300+x)=340 x=40

Solve for x. x=6(3^0)

6 Any number with a 0 exponent equals 1. Therefore, 6(3^0) = 6(1) = 6

Micah invites 23 friends to his house and is having pizza. Each pizza feeds approx. 4 people. Micah doesn't want any leftovers. How many pizzas should he order?

6 pizzas

In the fall, 425 students pass the math benchmark. In the spring, 680 students pass the same benchmark. What is the percentage increase in passing scores from fall to spring?

60% To calculate percentage increase, find the difference between the ending number and beginning number (680-425=255). Divide the difference by the beginning number (255/425=.60).

What are the coefficients and the degrees of the terms in the polynomial?

Coefficients {4,5}, degrees {3,2} The coefficients are the numbers before the exponent in the polynomial. The degrees are the exponents in a polynomial.

Kim drives 75 mph for t hours. If t=time and d=distance, the equation d=75t describes Kim's drive. Which statement is true?

The independent variable is d because the distance depends on the number of hours Kim drives.

Chris and Kim are writing a book together. Kim writes twice as much as Chris. Altogether, there are 240 pages in the book. Which equation shows how many pages Chris writes.

p+2p=240 If p is the # of pages Chris writes, the equation shows that Kim writes 2p, or twice as many pages as Chris writes.