All problems should be done WITHOUT a calculator unless otherwise indicated!!!!2.2 Homework: Topics: Solving linear equations. Word Problems that lead to Linear Equations 1. Determine whether each of the following equations are conditional, a contradiction or an identity.A) ( ) ( )2 3 4 5 2x x x- + = - +B) ( ) ( )2 3 4 5 2x x x- + = + + C) ( ) ( )2 3 4 5 9x x x- + = - +2. Solve the following equations.A) 1 1 15 43 2 4x x� � � �- - = - +� � � �� � � �B) ( ).03 1 2 .3x x- = -C) ( ) ( )2 3 5 9 5 6x x x- - = + -3. Find the x and y intercepts algebraically 4. Solve the following equation. 2 3 12x y- + = 21 1 103 3 9x x x+ =- + -Solve the following word problems by setting up an equation and solving.5. The sum of two consecutive integers is 315. Find the integers.6. The sum of two consecutive even integers is 486. Find the integers. 7. The sum of three consecutive odd integers is – 3 . Find the integers.8. Find two consecutive integers whose product is 5 less than the square of the smaller number.9. In order for Debbie to get an A in Biology she must have an average of 90 on four tests worth 100 pints each. The scores on Debbie’s first three tests were 87, 92 and 84. What must Debbie get on the fourth test in order to earn an A for the Biology course?10. Hamish mixes Peanuts that cost $2.40 per pound with Cashews that cost $3.20 per pound to make an 80 pound mixture that costs $2.96 per pound. How many pounds of each kind of nut did Hamish put into the mixture?11. What is 24% of 340?12. 48 is what percent of 960?13. 12 is 1%5 of what