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Find the Slope?
Linear Equation Systems
Value of the variable
Word Problems/slope
100
The steepness and direction of a linear equation (rise over run)
Slope
100
Identify the slope of the following equation
y = -5x + 2
m = -5
100
Solve the system:
y = -x + 1
x = 3
(3, -2)
100
g - 17 = 26
g = 43
100
The y-intercept of this table is...
2
200
Is x = 2 a solution to the equation 2(x - 5) + 3 = 13 ?
No it is not a solution.
200
The slope of this table is...
m = 3 or 6/2
200
The solution to the system
x + 5y = 12
-x +y = 0
(2,2)
200
x/3 = 15
45
200
The amount y(in dollars) of money you have left after playing x games at a carnival is y = -0.75x + 10. How much money do you have after playing eight games?
y = -0.75(8) + 10
y = -6 + 10
y = 4
$4 dollars left after playing 8 games.
300
Solve:
2x + 3y = 15
x - 3y = 3
x = 6, y = 1
300
Find the slope of the line that includes the following points. (4, -5) (-4, 5)
-10/8 which simplifies to -5/4
300
The solution to the system y = 6x - 11 -2x - 3y = -7
(2, 1)
300
7b - 5 =44
b = 7
300
12 apples & 8 guavas total cost is $76. 8 apples & 12 guavas cost is $64. What is the cost of each apple & guava?
a = 5
g = 2
400
Solve the system of equation.
-4x - 2y = 14
-10x + 7y = -25
x = -1, y = -5
400
Find the slope of the line that includes the following points. (-12, -9) (-3, -3)
-6/-9 = 6/9 = 2/3
400
The solution to the system
-4x + 9y = 9
x = 3y - 6
(9,5)
400
4x + 3 = 55
x = 13
400
Harold had a summer lemonade stand where he sold small cups of lemonade for $1.25 and large cups for $2.50. If Harold sold a total of 155 cups of lemonade and collected a total of $265, how many cups of each type did he sell?
98 small cups and 57 large cups of lemonade
500
Rewrite the following equation in slope-intercept form. 3x + 6y = -18
y = -1/2x - 3
500
Write an equation for a line with the following slope and points.
m = 2/3 and (0, -2),
y = 2/3x - 2
500
By graphing, the solution to the system
y = 2x - 3
y = -3x + 2
(1,-1)
500
(t/8) + 4 = 11
t = 120
500
The y-intercept of this line is...
m = 2/1