Linear equations, inequalities, and systems of equations
Solve for x: 3x + 7 = 22
Subtract 7 from both sides: 3x = 15, then divide by 3: x = 5
What is the solution to the system: y = 2x + 1 and y = -x + 4?
Set equations equal: 2x + 1 = -x + 4, solve for x: 3x = 3, x = 1, then y = 2(1) + 1 = 3
Solve the inequality: 2x - 5 < 11
Add 5 to both sides: 2x < 16, then divide by 2: x < 8
Factor completely: x² + 5x + 6
Find two numbers that multiply to 6 and add to 5: 2 and 3
Simplify: (3x²y)(4xy³)
Multiply coefficients: 3×4=12, add exponents for x: 2+1=3, for y: 1+3=4