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### Grade 6 - Mathematics12.25 Algebraic Equations and Expressions

 An expression or algebraic expression is a phrase, a sentence fragment. We can simplify an expression and has no relation symbol. Example: a number less than ten x < 10 two less than a number x - 2 An equation or algebraic equation is a sentence. We have to solve an equation to find the value or solution. It has a relation symbol "equal to". Example: Ten is five less than a number. 10 = x - 5 An Inequation is also a sentence with a greater than or less than sign. A number is less than five. x < 5 Directions: Choose the correct answer for each question. Explain in your own words what algebraic expressions, equations, and inequations are and give examples.
 Q 1: Solve: 3x + 10 = 25125645 Q 2: Solve: 10 - 5t = 508-8-1212 Q 3: Which property says 5 + 8 = 8 + 5?CommutativeAdditive IdentityAssociativeDistributive Q 4: Write an expression for the total area of a rectangle with height 3 and length a + b.3(a + b)(ab)33ab3a+b Q 5: Which property says (8 x 4) x 5 = (5 x 4) x 8?Multiplicative IdentityCommutativeAssociativeDistributive Q 6: Solve: 5x + 10y = 30cannot solve for 2 unknowns with 1 equationx = 4 and y = 1x = 6 and y = 0x = 2 and y = 2 Q 7: Solve: 15n = 22515210312525 Q 8: Evaluate the expression 3(a + b) + 6(2a - 2b) when a = -3 and b = -4.8-109-9 Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!