Praxis 5003 Practice Test
Question 1 of 5.
The heights, in centimeters, of 9 children are shown. Why is the median of the data set a better measure of center than the mean?
A. The number of points in the data set is odd.
B. The mean has a value of 125(1/3) and is not in the data set.
C. The value of 149 is an outlier, and this increases the value of the mean.
D. The mean is not the most frequently occurring value in the data set.
Explanation: The mean is affected by outliers. Here, 149 is an outlier, pulling the mean higher than the median. The median is 123, which is more central. Option A is true but not why median is better. Option B is true but not the reason. Option D is about mode, not mean.
Question 2 of 5.
Which of the following is an equation?
A. x = 2
B. x²+xy-y
C. 3x - 4 = 20y^2
D. 13y = y + 1
E. x/5 = 9
Explanation: An equation is a statement that two expressions are equal, containing an equals sign. x=2 is an equation. x²+xy-y is an expression, not an equation. 3x-4=20y^2 is an equation. 13y=y+1 is an equation. x/5=9 is an equation. Therefore, the equations are A, C, D, and E.
Question 3 of 5.
Which of the following best describes the expression shown?
A. The expression has two terms, none of which are constants.
B. The expression has two terms, one of which is a constant.
C. The expression has three terms, one of which is a constant.
D. The expression has three terms, all of which are constants.
Explanation: The expression has three terms: 5x², 2x, and -2. The term -2 is a constant. Option A is incorrect because there are three terms and one is a constant. Option B is wrong as there are three terms. Option D is incorrect because not all terms are constants; 5x² and 2x are variable terms.
Question 4 of 5.
Which of the following lists contains all the coefficients of the expression 12x^3 + 7x^2 + 24x?
A. 2, 3
B. 7, 12
C. 7, 12, 24
D. 2, 3, 7, 12, 24
Explanation: Coefficients are the numerical factors of the terms. For 12x³, the coefficient is 12; for 7x², it is 7; for 24x, it is 24. So the coefficients are 12, 7, and 24. Option A lists digits from the exponents. Option B misses 24. Option D includes digits that are not coefficients.
Question 5 of 5.
In terms of x, what is the sum of the lengths of the sides of the preceding polygon?
A. 18x-22
B. 21x-5
C. 23x+32
D. 19x-2
Explanation: To find the sum of the lengths of the sides of the polygon, we first identify the given side lengths: AB = 10- 2x, BC = x+3, CD=4x-5, DE = 6x-7, EF = 62-5, and FA = 42 +2. Next, we add these expressions together: (10-2)+(x+3)+(4x-5)+(6x-7)+(6x-5)+(4x+2). Combining like terms, we group all coefficients of a and constant values: (-2x+x+4x+6x+6x+ 4x)+(10+3-5-7-5+2). Simplifying further, the coefficient of adds up to 192, while the constants simplify to -2. Therefore, the total sum of the lengths of all the sides of the polygon is 19 - 2. This expression represents the perimeter of the polygon in terms of 2.