Which of the following statements is true about the dependent variable

Praxis 5003 Practice Test

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Question 1 of 5.

Extract:The chart shows the measurements of the height of a child at 3, 6, and 9 months of age. The equation H = T + 21 can be used to model the relationship between the height H, in inches, and age 7, in months.

Which of the following statements is true about the dependent variable in the relationship?

A. Height is the dependent variable because the height of the child depends on the length of the mother's pregnancy.

B. Height is the dependent variable because the height of the child depends on the length of time that has passed since birth.

C. Time is the dependent variable because time depends on the number of months that have passed since birth.

D. Time is the dependent variable because the height measurements of the child are taken every 3 months.

Explanation: In the equation H=T+21, H depends on T, so height is dependent on time. Option A brings in pregnancy, not relevant. Option C and D have time as dependent, which is incorrect.

Question 2 of 5.

Which of the following is an equation?

A. x = 2

B. xÂ²+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. xÂ²+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.

Extract:5x ^ 2 + 2x - 2

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: 5xÂ², 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; 5xÂ² 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 12xÂ³, the coefficient is 12; for 7xÂ², 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.