Solve the given system of equations graphically:
1) x=3y and x+2y=5
2) 3x-9=6y and 2y-x=8
5) Solve the given system of equations using addition or subtraction. [show all work]
3x+5y=-5
2x-y=-12
6) Solve the given system of equations by substitution. [show all work]
y=2x-1
x-y=4
Multiple Choice Questions: Each are labeled 1, 2, 3, 4
7) The area of a stormstorm with a rectangular floor is 2,800 square yards. The perimeter of the storeroom floor is 220 yards. Which system of equations will determine the length (l) and the width (w) of the storeroom floor?
1) lw=2,800
2l+w=220
2) lw=2,800
2l+2w=220
3) lw=220
2l+2w=2,800
4) l+w=220
l^2+w^2=2,800
The perimeter of a rectangular garden is 42 feet. The length of the garden is 5 feet more than twice the width. Which system of equations will determine the length (l) and the width (w) of the garden?
1) 2l+2w=42
l=2w+5
2) 2l+w+42
2l-w=5
3) 2l+w=42
2w+l=5
4) 2l+2w=42
w=21-5
9) Shonna and Desi went shopping and spent $84 altogether. Shonna spent $15 less than twice as much as Desi. How much did Shonna spend?
1) $51
2)$33
3)$49.50
4)$54
10) Five times Luciana’s number minus three times Jiang’s number is equal to -16. It is also true that four times Luciana’s number plus five times Jiang’s number is equal to -35. What is the value of Luciana’s number?
1) -3
2) 5
3) -8
4) -5
11) The sum of two numbers is 43. Their difference is 19. Find the numbers.
12) A grocer bought 3 boxes of peaches and 5 boxes of pears for $59. Another grocer bought 5 boxes of peaches and 2 boxes of pears from the same dealer for $54. Find the cost of one box of peaches and 1 box of pears.
13) A farmer sold 6 boxes of tomatoes and 8 boxes of cucumbers for $82. At the same prices, he sold 9 boxes of tomatoes and 6 boxes of cucumbers for $84. Find the price of 1 box of tomatoes and 1 box of cucumbers.
