Mathematical Concepts and Problem Solving

This video covers a full-length GED math practice test with 22 questions. It includes topics such as solving equations, understanding undefined expressions, calculating averages, surface area, and circumference, as well as analyzing graphs and finding slopes. The video also demonstrates using a calculator for solving equations and provides strategies for tackling various math problems.

What is the first step in changing a division of fractions into a multiplication?

• Multiply both fractions by 2.

• Keep the first fraction and flip the second.

• Change division to addition.

• Flip the first fraction.

How do you solve an equation for x when x is multiplied by a number?

• Subtract the number from both sides.

• Divide both sides by the number.

• Add the number to both sides.

• Multiply both sides by the number.

What makes an expression undefined in mathematics?

• When the expression is negative.

• When both numerator and denominator are zero.

• When the denominator is zero.

• When the numerator is zero.

How do you find the average of a set of numbers?

• Subtract the smallest number from the largest.

• Divide the largest number by the smallest.

• Multiply all numbers together.

• Add all numbers and divide by the number of items.

What is the formula for the surface area of a sphere?

• 4/3πr³

• 4πr²

• 2πr

• πr²

How do you calculate the total number of votes if you know the percentage and part of the votes?

• Subtract the percentage from the part.

• Multiply the part by the percentage.

• Divide the part by the percentage.

• Add the part to the percentage.

What is the cost per hour if the total cost is $62 for 2 hours?

• $124

• $62

• $15.50

• $31

What does 'twice the quantity' mean in mathematical expressions?

• Divide the quantity by two.

• Add two to the quantity.

• Subtract two from the quantity.

• Multiply the quantity by two.

How do you find the circumference of a circle given the diameter?

• 2π times the radius

• π times the radius

• 2π times the diameter

• π times the diameter

What is the slope of a line if the rise is 2 and the run is 6?

• 1/3

• 2/3

• 1/2

• 3/2