1. Put the equation in STANDARD FORM with integer coefficients. Describe the graphical representation of each system of equations. Write parallel lines, intersecting lines, or same line. Describe the solution of the system. Write one solution, infinitely many solutions, or no solution. intersecting lines one solution same line infinitely many solutions parallel lines no solution 1. 2.3.4.

2. Math 8H Algebra 1 Glencoe McGraw-Hill JoAnn Evans 5-5 Applying Systems Of Linear Equations

3. Labels:Let x = width Let y = length Verbal Sentences: Length = 2 more than twice the width. Perimeter = 2 lengths + 2 widths Equations: Which method of solving systems of equations would be best to use here? substitution The length of a rectangle is 2m more than twice the width. The perimeter is 82m. Find the dimensions of the rectangle. The width is 13m and the length is 28m.

4. Labels: Let g = # girls Let b = # boys Verbal Sentences: 2 times girls = 3 times boys # girls + # boys = 335 Equations: Which method of solving systems of equations would you use here? substitution The eighth grade class at Cain Middle School has 335 students. Twice the number of girls is equal to three times the number of boys. How many boys and how many girls are in the class?

5. Solve the second equation for g. You’ve found the number of boys at the school. Use that information to determine the number of girls. There are 134 boys and 201 girls at the school.

6. Labels: Verbal Sentences: 3 envelope + 4 paper = $13.25 2 envelope + 6 paper = $17.00 Equations: Which method of solving systems of equations would you use here? Let e = cost of envelopes Let n = cost of note paper combinations/elimination The cost of 3 boxes of envelopes and 4 boxes of note paper is $13.25. Two boxes of envelopes and 6 boxes of note paper cost $17. Find the cost of each box of envelopes and each box of note paper.

7. If boxes of note paper cost $2.45 each, how much do boxes of envelopes cost? Note paper costs $2.45 and envelopes cost $1.15. What could you multiply each equation by to eliminate one of the variables?

8. Labels: Verbal Sentences: prunes + apricots = 20 lb. value + value = value prunes apricots mix Equations: Which method of solving systems of equations would you use here? Let p= # lb. prunes Let a = # lb. apricots substitution Twenty pounds of dried fruit mix contained prunes worth $2.90 a pound and apricots worth $3.15 a pound. How many pounds of each did the mix contain if the total value of the mix was $59.75?

9. Solve the first equation for one of its variables. There were 7 lb. of apricots and 13 lb. of prunes in the mix. If the mix contained 7 lb. of apricots, how many pounds of prunes did it contain?

10. Labels: Verbal Sentences: $ at 8% + $ at 12% = total $ interest + interest = total interest from 8% from 12% account account Equations: Which method of solving systems of equations would you use here? Let x= $ invested at 8% Let y = $ invested at 12% substitution Mr. Scott kept part of his $5000 savings in an account that earned 8% interest and the rest in an account that earned 12% interest. How much did he have in each account if his annual interest income from the total investment was $514.80?

11. Solve the first equation for one of its variables. He had $2130 invested at 8% and $2870 invested at 12%. If Mr. Scott had $2130 in the 8% account, how much was in the 12% account?