Praxis 5003 Practice Test
Question 1 of 5.
In a particular region, approximately 2/7 of all the trees are maples. If the county of Giles is located in this region and is estimated to have a total of 450 trees, the number of maple trees in Giles is most likely between which of the following?
A. 65 and 85
B. 85 and 105
C. 120 and 150
D. 150 and 170
Explanation: Maple trees = (2/7)*450 ≈ 128.57, so between 120 and 150. Option A is too low, option B is lower, option D is higher.
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.