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Solving Eqtns
Graphing Lines
Writing Linear Eqtns
Inequalities
Systems of Eqtns
100
Solve: (3/5)g = -6
g = -10
100
What is the slope and y-intercept? y = 3 - x
slope = -1, y-int = 3
100
What is the equation of the line parallel to y = -2x and contains the point (9, -1)?
y + 1 = -2(x - 9)
100
Solve: x/4 > -3
x > -12
100
Solve the system if x = 5: 3x - 2y = 13 ; x + 2y = 7
(5, 1)
200
Solve: 3k - 5 = 7k - 21
k = 4
200
What is the graph of x = 1?
A vertical line at x = 1
200
What is the equation for a horizontal line that contains the point (-1, -2)?
y = -2
200
Graph the inequality: y < -x
Dotted line, slope = -1 and b = 0, shaded below
200
Solve the system: -4x + 2y = 8 ; 4x - 3y = -10
(-1, 2)
300
Solve for m: y = mx + b
m = (y - b)/x
300
Find the intercepts for 2x - y = -6
x-intercept: (-3, 0) , y-intercept: (0, 6)
300
Write the equation of the line with slope = 2 and contains the point (1, 5) in slope-intercept form.
y = 2x + 3
300
Solve: 3 < 2x - 3 < 15
3 < x < 9
300
Solve the system: y = 5x ; 2x + 3y = 34
(2, 10)
400
Solve: 3(1 + d) - 5 = 3d - 2
all real numbers
400
Graph the line: 3x = 2y - 8
Change to y = (3/2)x + 4
400
Write the equation of a line containing the points (1, 6) and (2, 2).
y - 6 = -4(x - 1) or y - 2 = -4(x - 2)
400
Graph the system of inequalities: y < 2 and y > 3x - 1
Dotted horizontal line at y = 2, shaded below; Dotted line with slope = 3 and b = -1, shaded above; Overlapping region
400
Solve the system: 12x - 3y = -3 ; 6x + y = 1
(0, 1)
500
Two thirds of a number reduced by 11 is equal to 4 more than the number. Find the number.
-45
500
Graph the line: 2x + 3y = 36
Find the intercepts: (18, 0) and (0, 12)
500
Write the equation of a line perpendicular to 2x - 5y = 3 and contains the point (-2, 7).
y - 7 = (-5/2)(x + 2)
500
Solve: 3n + 11 < 13 OR -3n > -12
n < 4
500
Seven times a number plus three times another number equals -1. The sum of the two numbers is -3. What are the numbers?
2 and -5