Systems with Graphs
Solving by Substitution
Solving by Elimination
Writing Equations/Inequalities
Word Problems
100
What is the solution?
(-1,1)
100
Solve the systems of equations:
-3x + 4y = -2
y = -5
(-6, -5)
100
Solve the systems of equations:
14x + 2y = 26
-14x - 6y = -50
(1, 6)
100
Write an equation in slope intercept form given m=-3 and the y-intercept= (0, 5)
y=-3x+5
100
Maya is saving up to buy a new tablet that costs $450. When she gets to the electronics store, she realizes she also has to pay an 8.5% sales tax on the purchase. What is the total amount Maya will pay for the tablet including tax?
$488.25
200
How many solutions are there?
No Solutions
200
Solve the systems of equations:
-5x - 5y = 10
y = -4x -17
(-5, 3)
200
Solve the systems of equations:
-3x - 5y = 2
3x + 5y = 7
No Solution
200
Write an inequality to show the ages of people or are legally allowed to vote.
x greater than or equal to 18
200
The sum of three consecutive odd numbers is -87. Find the three numbers.
-27, -29, -31
300
Solve Using Graphing:
y = 5/3x + 2
y = -3
300
Solve the systems of equations:
y = -2x - 9
3x -6y = 9
(-3, -3)
300
Solve the systems of equations:
-6x - 10y = 4
6x + 10y = 0
No Solution
300
Write the equation of the line that has a slope of -1/2 and goes through the point (8, -3). Your final answer should be in slope intercept form.
y=-1/2x+1
300
A farm in Australia has 20 animals total. These animals include koala bears (4 legs) and kangaroos (2 legs). If there are 54 legs total, how many koalas and how many kangaroos are there?
7 koalas
13 kangaroos
400
Graph the following two lines to find the solution.
y=1/2 x -3
x-2y=6
Infinitely Many Solutions
400
Solve the systems of equations:
-8x - 5y = -24
-x + y = 10
(-2, 8)
400
Solve the systems of equations:
-3x - 24y = -66
3x + 4y = -14
(-10, 4)
400
Write the equation of the line that goes through the points (-5, 10), (-3, 4). Write your answer in slope intercept form.
y=-3x-5
400
The sum of a mother’s age and her son’s age is 52 years. The mother’s age is 4 years less than 3 times her son’s age. How old are the mother and the son?
The mother is 38 years old and the son is 14 years old.
500
Solve the systems of linear equations by graphing:
500
Solve the systems of equations:
-8x + y = -7
16x - 2y = 14
Infinitely Many Solutions
500
Solve the systems of equations:
-15x + 6y = -36
4x - 3y = 11
(2, -1)
500
Write an equation of the line that goes through (4, -11) and (4, 15)
x=4
500
Leo found a pile of change in the lint trap of his dryer. It consisted entirely of nickels and quarters. He counted a total of 32 coins that added up to exactly $4.40. How many nickels and how many quarters did Leo find?
Leo found 18 nickels and 14 quarters.