Algebra, Adding and Subtracting

The video tutorial covers basic algebra concepts, including solving for X in equations, using cross multiplication for fractions, understanding inequalities, and solving simultaneous equations. It emphasizes the importance of performing operations on both sides of an equation and highlights common traps in solving inequalities, such as flipping inequality symbols when dividing by negative numbers. The tutorial also provides strategies for tackling simultaneous equations by combining them to eliminate variables.

What is the first step to isolate X in the equation 3X - 20 = 10?

• Subtract 20 from both sides

• Add 20 to both sides

• Multiply both sides by 3

• Divide both sides by 3

When solving the equation 10/3 = 40/X, what is the first step?

• Divide both sides by 40

• Subtract 10 from both sides

• Cross-multiply the fractions

• Add 3 to both sides

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

• It stays the same

• It flips direction

• It becomes an equal sign

• It disappears

In the inequality -2X < 10, what is the correct solution for X?

• X > 5

• X < 5

• X > -5

• X < -5

What is the main strategy for solving simultaneous equations?

• Divide both equations by the same number

• Multiply both equations by the same number

• Add or subtract the equations to eliminate a variable

• Solve each equation separately

If 5X + 2Y = 15 and 2X + 2Y = 6, what is the value of X?

• X = 1

• X = 4

• X = 2

• X = 3

In the system of equations 3X + 2Y = 6 and X + 2Y = 2, what is the value of X?

• X = 4

• X = 3

• X = 2

• X = 1