Solving Equations and Inequalities Challenge

The video provides a comprehensive review of solving equations and inequalities, starting with basic equations and progressing to more complex ones involving fractions and variables on both sides. It also covers solving for a specific variable and introduces solving and graphing inequalities. The tutorial emphasizes key algebraic techniques and offers practical tips for handling different types of equations and inequalities.

What is the first step in solving the equation -2x + 7 = 6?

• Divide both sides by -2

• Add 7 to both sides

• Subtract 7 from both sides

• Multiply both sides by -2

What is the solution to the equation -2x + 7 = 6?

• x = 1/2

• x = -2

• x = -1/2

• x = 2

How do you eliminate the fraction in the equation (1/3)x + 4 = -3?

• Subtract 4 from both sides

• Add 4 to both sides

• Multiply both sides by 3

• Divide both sides by 3

What is the solution to the equation (1/3)x + 4 = -3?

• x = -7

• x = 7

• x = 21

• x = -21

When solving 4x - 3 = 3(3x + 4), what is the first step?

• Add 3 to both sides

• Subtract 3 from both sides

• Distribute the 3 on the right side

• Multiply both sides by 3

What is the solution to the equation 4x - 3 = 3(3x + 4)?

• x = -1

• x = -3

• x = 1

• x = 3

How do you isolate x in the equation 4x + 8y = 16?

• Add 8y to both sides

• Subtract 8y from both sides

• Multiply both sides by 4

• Divide both sides by 4

What is the solution for x in the equation 4x + 8y = 16?

• x = 4 + 2y

• x = 2 + 4y

• x = 2 - 4y

• x = 4 - 2y

What happens to the inequality sign when you divide both sides by a negative number?

• It disappears

• It stays the same

• It flips

• It becomes an equal sign

How do you graph the inequality x ≤ 1 on a number line?

• Open circle at 1, shade to the left

• Closed circle at 1, shade to the right

• Closed circle at 1, shade to the left

• Open circle at 1, shade to the right