Worksheets8th Grade U4 pt 2 Test Corrections
Total questions: 9
Worksheet time: 10mins
1) Mateo plans to solve the system of equations by using elimination. What would be a reasonable first step he could take?
-x + 6y = 9
3x + 2y = 13
multiply the second equation by -3
multiply the first equation by 2
multiply the second equation by 2
do not multiply, just use elimination
2) Solve the system of equations using elimination. YOU MUST SHOW WORK. Desmos should only be used to check your solution.
-3x + 2y = 48
3x + y = 42
3) Solve the system of equations using elimination. YOU MUST SHOW WORK. Desmos should only be used to check your solution.
3x + 2y = -17
x + y = -7
Which TWO qualities mean a graph has NO SOLUTION? (PICK TWO!)
parallel lines
same slope, different y-intercepts
same line
same slope, same y-intercept
Which TWO qualities mean a graph has INFINITELY MANY SOLUTIONS? (PICK TWO!)
parallel lines
same slope, different y-intercepts
same line
same slope, same y-intercept
Which TWO qualities mean a graph has ONE SOLUTION? (PICK TWO!)
parallel lines
different slopes
intersecting lines
same slope, same y-intercept
5) Jane is observing the system of equations below and thinks it will have exactly one solution. Is she correct? Why or why not?
No; the slopes are the same, but the y-intercepts are different, so there would be no solution to the system of equations.
No; the slopes are the same and the y-intercepts are different, so there are infinite solutions.
Yes; the slopes are the same, so they will intersect and have one solution.
Yes; the y-intercepts are different, so they will intersect and have one solution.
6) At a movie theater, 2 medium drinks and a large popcorn costs $13.85. At the same theater, a family bought 3 medium drinks and 2 large popcorns for a total of $23.90. Which system of equations could be used to find x, the cost of a medium drink and y, the cost of a large popcorn?
7) Christine’s rectangular bedroom has a perimeter of 44 feet. The length of her bedroom is 2 feet more than the width. Which of the following is a true statement?
The width of Christine’s bedroom is 10 feet.
The length of Christine’s bedroom is 8 feet.
Both A and B are true.
Neither A nor B is true.
