Solving Linear Equations and Inequalities

This video tutorial covers essential algebra concepts, including solving linear equations, working with fractions, graphing linear equations, understanding slope, solving quadratic equations, properties of exponents, and simplifying radicals. It provides step-by-step methods and examples to help learners grasp these intermediate algebra topics effectively.

What is the value of x in the equation x + 8 = 20?

• 18

• 12

• 10

• 15

How do you solve the equation 4x = 32 for x?

• Subtract 4 from both sides

• Multiply both sides by 4

• Divide both sides by 4

• Add 4 to both sides

When solving the equation 2/3x = 8, what is the first step?

• Divide both sides by 2

• Multiply both sides by 3

• Add 3 to both sides

• Subtract 2 from both sides

In the inequality x + 3 > 5, which of the following is a possible value for x?

• 3

• 4

• 2

• 1

How do you graph the solution of x > 2 on a number line?

• Closed circle at 2, shade left

• Open circle at 2, shade right

• Open circle at 2, shade left

• Closed circle at 2, shade right

What is the solution to the absolute value equation |2x + 3| = 11?

• x = 4 or x = -7

• x = 7 or x = -4

• x = 5 or x = -5

• x = 6 or x = -6

How do you solve the inequality |x + 2| < 5?

• x < 3

• x > 3

• x < -3

• -3 < x < 3

What is the slope of a line passing through the points (2, 3) and (4, 7)?

• 4

• 3

• 1

• 2

If a line has a slope of 2, what is the slope of a line parallel to it?

• 1/2

• 2

• 0

• -2

What is the equation of a line with a slope of -3 and passing through the point (0, 5)?

• y = -3x + 5

• y = 3x + 5

• y = -3x - 5

• y = 3x - 5