Review solving equations, inequalities, and working with algebraic expressions.
Solve for x: 2x + 5 = 17
Subtract 5 from both sides: 2x = 12. Divide by 2: x = 6.
Solve the inequality: -3x + 7 > 16
Subtract 7: -3x > 9. Divide by -3 (flip inequality sign): x < -3.
Simplify: (2x²)(3x³)
Multiply coefficients: 2*3=6. Add exponents: 2+3=5. Result: 6x⁵.
Factor: x² - 5x + 6
Find two numbers that multiply to 6 and add to -5: -2 and -3.
Solve the system: y = 2x + 1 and y = x - 2
Set equal: 2x+1 = x-2 → x = -3. Substitute: y = -3-2 = -5.
What is the slope of the line passing through (2,5) and (4,9)?
Slope = (y₂-y₁)/(x₂-x₁) = (9-5)/(4-2) = 4/2 = 2.