Solving Algebraic Equations and Expressions

This video tutorial focuses on solving algebraic word problems by converting sentences into equations. It covers key algebraic expressions, solving quadratic equations, and systems of equations using substitution and elimination methods. The tutorial also includes advanced problem-solving techniques, ensuring a comprehensive understanding of algebraic concepts.

What is the first step in solving the equation 5x + 12 = 32?

• Divide both sides by 5

• Add 12 to both sides

• Subtract 12 from both sides

• Multiply both sides by 5

If the expression is 'four times a number', how is it represented algebraically?

• 4 + x

• x - 4

• 4x

• x/4

How do you represent 'five less than a number' in algebraic terms?

• x - 5

• 5x

• x + 5

• 5 - x

What method can be used to solve the system of equations: x + y = 33 and x - y = 3?

• Trial and error

• Elimination method

• Substitution method

• Graphing method

What is the value of x if x + y = 33 and x - y = 3?

• 21

• 20

• 18

• 15

How do you eliminate the fraction in the equation x + 6/x = 5?

• Add x to both sides

• Multiply both sides by x

• Divide both sides by 6

• Subtract 6 from both sides

What are the possible values of x if x + 6/x = 5?

• 2 and 3

• 3 and 4

• 1 and 2

• 4 and 5

What is the first step in solving the equation 2(x - 6) = 3 + √x?

• Square both sides

• Add 6 to both sides

• Subtract 3 from both sides

• Distribute 2 to (x - 6)

What is the correct solution for x in the equation 2(x - 6) = 3 + √x?

• x = 6.25

• x = 9

• x = 7

• x = 8

Which of the following is an extraneous solution in the equation 2(x - 6) = 3 + √x?

• x = 7

• x = 6.25

• x = 9

• x = 8