Inequalities
Solve: 2x - 4 < 10
What is x < 7?
Work:
2x-4+4<10+4
2x<14
2x/2<14/2
x<7
If m = 8, and b = 16, write the equation in Slope-Intercept Form.
What is y = 8x + 16?
Given the equation y - 1 = 6(x - 5), state the slope and the point of the line.
What is 6 and (5,1)?
Solve x - 4 = 9
What is x = 13?
Given the equation 2y + 6x = 12, find the x-int and y-int.
What is x-int = (2,0) and y-int = (0,6)?
Solve: x/5 + 15 < 5
What is x < -50?
Work:
x/5+15<5 (Multiply all by 5)
x+75<25
x+75-75<25-75
x<-50
If m = -6, and b = -16, write the equation in Slope-Intercept Form.
What is y = -6x -16?
Given the equation y - 6 = -1/5(x + 5), state the slope and the point on the line.
What is -1/5 and (-5,6)?
Solve -x + 7 = 18
What is x = - 11?
Given the equation 3y + 5x = 15, find the x-int and y-int.
What is x-int = (3,0) and y-int = (0,5)?
Solve: 4(x + 3) > 8
What is x > -1?
Work:
4(x+3)>8 (Distribute)
4x+12>8
4x+12-12>8-12
4x>-4
4x/4>-4/4
x>-1
Give the equations, y = x - 5, state the slope and the y-intercept of the line.
What is m = 1 and b = -5?
Given the equation (y+8) = 2(x + 3), state the slope and the point on the line.
What is 2 and (-3,-8)?
Solve 5(x + 3) = 2x + 5
What is x = -10/3?
Given the equation 5y + 2x = 20, find the x-int and y-int.
What is x-int = (10,0) and y-int = (0,4)?
Solve: -(x + 4) < 4
What is x > -8?
Work:
-(x+4)<4 (Distribute -1)
-x-4<4
-x-4+4<4+4
-x<8
-x/-1>8/-1 (FLIP symbol)
x>-8
Give the equation y = 8, state the slope, the intercept and the type of line.
What is m = 0, b = 8, and horizontal?
Given the equation y + 3 =-1/2(x - 4),state the slope and the point on the line.
What is -1/2 and (4,-3)?
Solve -x + 6 = 7x -14
What is x = 5/2?
Write 4y + 8x = 6 in Slope-Intercept Form.
What is y = -2x + 3/2?
Solve: 5x + 5 < 10x - 15
What is x > 4 or 4 < x?
Work:
5x-5x+5<10x-5x-15
5<5x-15
5+15<5x-15+15
20<5x
20/5<5x/5
4<x OR x>4
Given the equation y = -1/3x - 2, state the slope and the y-intercept of the line.
What is m = -1/3 and b = -2?
Given the equation y - 4 = 5(x + 4), state the slope and the point on the line.
What is 5 and (-4,4)?
Solve -2(2x - 5) = 5(x + 3)
What is x = 5/9?
Write 2y + 6x = 12 in slope intercept form.
What is y = -3x + 6?