BMST - Basic Math and Science Algebraic Equations and Inequalities Questions and Answers

Question 1

A school is organizing a field trip. The total cost is $1,200, which includes a fixed fee of $150 for the bus and a cost per student. If 75 students are attending, what is the cost per student?

Accepted Answer

$14

Answer

$16

Answer

$18

Answer

$12

Question 2

Which of the following is the correct solution set for the inequality 3(x - 4) > 5x + 2?

Accepted Answer

x < -7

Answer

x > 7

Answer

x < 7

Answer

x > -7

Question 3

Solve the quadratic equation x² - 8x + 15 = 0.

Accepted Answer

x = 3 and x = 5

Answer

x = -3 and x = -5

Answer

x = -3 and x = 5

Answer

x = 3 and x = -5

Question 4

A rectangular garden has a perimeter of 120 feet. The length of the garden is 10 feet more than its width. What are the dimensions of the garden?

Accepted Answer

Length = 35 ft, Width = 25 ft

Answer

Length = 40 ft, Width = 20 ft

Answer

Length = 30 ft, Width = 30 ft

Answer

Length = 25 ft, Width = 35 ft

Question 5

What is the solution for x in the equation (2/3)x - 4 = 6?

Accepted Answer

x = 15

Answer

x = 3

Answer

x = 6

Answer

x = 10

Question 6

A movie theater charges $12 for an adult ticket and $8 for a child's ticket. On a particular day, 200 tickets were sold for a total revenue of $2,160. Which system of equations can be used to find the number of adult tickets (a) and child tickets (c) sold?

Accepted Answer

a + c = 200; 12a + 8c = 2160

Answer

a + c = 2160; 12a + 8c = 200

Answer

12a + 8c = 200; a - c = 2160

Answer

a + c = 200; 20(a + c) = 2160

A school is organizing a field trip.The total cost is $1,200, which includes a fixed fee of $150 for the bus and a cost per student.If 75 students are attending, what is the cost per student?

A school is organizing a field trip.
The total cost is $1,200, which includes a fixed fee of $150 for the bus and a cost per student.
If 75 students are attending, what is the cost per student?