WorksheetsSystems of Equations
Total questions: 10
Worksheet time: 10mins
How many solutions?
What would be the first step in finding the solution with elimination?
4x + 3y = 1
x - 3y = -11
cross out the 3y and -3y
cross out the 4x and x
change all the signs of the second equation
add 1 and -11
Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out (all) the coins and it came to $6.60. Which system of equations could be used to find the exact number of dimes and nickels? (Hint: How much are the coins worth?)
d + n = 6.60
.10d + .05n = 80
d + n = 80
d + n = 6.60
d + n = 80
.10d + .05n = 6.60
At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not including tax. If the price of the math textbook, t, is $8 more than 3 times the price of the novel, n, which system of linear equations could be used to determine the price of each book?
t + n = 54
t = 3n + 8
t + n = 54
n = 3t + 8
t + n = 54
t = 3n - 8
