HiSET Math Practice Quiz 2

Question 1

One third of the candidates for a job were 25 years old or younger. Two sevenths of the candidates were at least 50 years old. If 84 people applied for the job, how many were between 25 and 50?

Accepted Answer

32

Answer

First, calculate the number of candidates in the specified age groups. One-third of 84 is (1/3) * 84 = 28 candidates (25 or younger). Two-sevenths of 84 is (2/7) * 84 = 24 candidates (at least 50). The total number of candidates in these two groups is 28 + 24 = 52. To find those between 25 and 50, subtract this sum from the total number of applicants: 84 - 52 = 32 candidates.

Question 2

Which of the following is a factor of 450 and multiple of 25?

Accepted Answer

75

Answer

We need to find a number that is both a factor of 450 and a multiple of 25. Let's check the options. 75 is a multiple of 25 because 25 * 3 = 75. Also, 75 is a factor of 450 because 450 / 75 = 6. Thus, 75 satisfies both conditions.

Question 3

The formula h - 15 = 3.2t gives the height h in inches of a plant t weeks after planting.  Which is the rate at which the plant's height is increasing?

Accepted Answer

3.2 inches per week

Answer

The given formula is h - 15 = 3.2t. To find the rate of increase, we can rearrange the formula to solve for h: h = 3.2t + 15. This equation is in the slope-intercept form (y = mx + b), where 'm' represents the rate of change. Therefore, the plant's height is increasing at a rate of 3.2 inches per week.

Question 4

The formula h -15 = 3.2t gives the height h in inches of a plant t weeks after planting. ﻿ How high was the initial height of the shrub?

Accepted Answer

15 inches

Answer

The initial height of the plant refers to its height at the time of planting, which corresponds to t = 0 weeks. Substitute t = 0 into the given formula: h - 15 = 3.2 * 0. This simplifies to h - 15 = 0, so h = 15. Therefore, the initial height of the shrub was 15 inches.

Question 5

The formula h -15 = 3.2t gives the height h in inches of a plant t weeks after planting. ﻿ When was the height 31 inches?

Accepted Answer

Some time between 3 and 7 weeks

Answer

To find when the height was 31 inches, substitute h = 31 into the formula: 31 - 15 = 3.2t. This simplifies to 16 = 3.2t. Dividing both sides by 3.2 gives t = 16 / 3.2 = 5. Therefore, the height was 31 inches at 5 weeks, which falls between 3 and 7 weeks.

HiSET - High School Equivalency Test Practice Test

HiSET - High School Equivalency Test Practice Test

HiSET Math Practice Quiz 2