Math 017 Materials With Exercises

Ex.12 Determine whether the following mathematical sentences represent an equation or an algebraicexpression. In the case of an equation, guess one of its solutions.a) 2 3 3x 2b) 2x 3x24c) x 5 x 5d) 4x7e) 8xf) 3(x 7) 0Ex.13 Find a number that makes the equation1x1 2a) trueb) falseEx.14 Find a number that is a) a solution of x 5b) not a solution of x 5Ex.15 Check each of the following to determine whether or not it is a solution of the equation( 4 x )(2x 5)( x 3) x 0a) x 3b) x 055c) x d) x 22e) x 4f) x 4Ex.16 Guess four solutions of the equation ( 2 x) 2 x .Ex.17 Mr. X tried to solve the following equation x 2xby dividing each side by x . As a result, heobtained the equation 1 2 and concluded that the equation x 2xhas no solution. The correctsolution of this equation is x 0.What did Mr. X do wrong?Ex.18 Solve the following linear equations and check your solution.a) x 4 1b) 3x18c) 7 x 2xd) 5 4e) 10 0.2xf) 5 2 xg) 4 2xh) x 8Ex.19 Solve the following equations and check your solution.a) 2x 15 7b) 4x 7 5c) 9 32xd) 5x 4 0e) x 13 5f) 10 3x 5Ex.20 Solve the following equations.a) 4x x 12b) 3x 5 4xc) 6x 15xd) 4x 2 3xe) 3 7x xf) 3 14x86