Solving Equations and Expressions

This video tutorial covers essential algebra concepts, including like terms, polynomials, and exponents. It explains how to add, subtract, and multiply polynomials, and reviews the properties of exponents. The video also provides strategies for solving equations and graphing linear equations. Additionally, it demonstrates how to write equations of lines given points and slopes, using various forms such as slope-intercept and standard form.

What is the result of adding 5x and 4x?

• 1x

• 0x

• 20x

• 9x

What is the result of multiplying 3x by 2x?

• 5x

• 6x^2

• 5x^2

• 6x

How do you simplify the expression 2x - 3 squared?

• 4x^2 - 12x + 9

• 4x^2 - 6x + 6

• 4x^2 - 6x + 9

• 2x^2 - 6x + 9

What is the simplified form of 24x^7 y^-2 divided by 6x^4 y^5?

• 4x^3 y^-7

• 4x^3 y^-3

• 4x^3 y^7

• 4x^3 y^3

How do you solve the equation 3x + 5 = 11?

• x = 2

• x = 3

• x = 4

• x = 5

What is the first step to solve the equation 2/3x + 5 = 8?

• Subtract 5 from both sides

• Add 5 to both sides

• Divide both sides by 2

• Multiply both sides by 3

How do you solve the equation x^2 - 25 = 0?

• Multiply both sides by 25

• Subtract 25 from both sides

• Take the square root of both sides

• Add 25 to both sides

What is the slope of the line y = 2x - 1?

• 1

• 0

• 2

• -1

How do you find the y-intercept of the equation 2x - 3y = 6?

• Set y to 0 and solve for x

• Multiply both sides by 2

• Divide both sides by 3

• Set x to 0 and solve for y

What is the equation of a line that passes through (1, 3) and has a slope of 2?

• y = 2x + 1

• y = 2x - 1

• y = 2x - 3

• y = 2x + 3