Chapter 1: Equations
Solve:
27 = 5 - 2x
x = -11
Solve:
-2x > 4
x < -2
Is the relation a function and why?
(1, 2)
(4, 6)
(7, 10)
(4, -6)
NO, the input 4 repeats.
Write the equation of a line in slope-intercept form that has a slope of 3 and a y-intercept of -5
y=3x-5
Solve by graphing:
y = x - 9
y = (-3/2)x + 6
(6, -3)
You are 4 ft. 6 in. tall and you case a shadow that is 3 ft. long. At the same time, a nearby building casts a shadow of 7 ft. 6 in. Find the height of the building.
11 ft. 3 in. OR 135 inches
4x - 12 < -5x + 42
x < 6
Is the following relation linear and why?
(6, 7)
(4, 10)
(2, 13)
(0, 16)
Yes, it has a constant slope of 3/-2
Write the equation of a line in slope-intercept form that passes through the points (3,4) and (-2, 14)
y = -2x + 10
Solve the system:
-3x + 5y = 5
y = x - 1
(5, 4)
Convert 1.6 miles into inches
101,376 inches
Solve:
-4 < 5 - 3x < 26
-7 < x < 3
Graph the following in your calculator and describe when the function is increasing/decreasing:
y = x2 + 6x + 7
Decreasing: x < -3
Increasing: x > -3
Write the equation of a line in point-slope form that has a slope of (3/4) and goes through the point (-2, -9)
y+9 = 3/4(x+2)
Solve the system:
4x + y = -2
-2x + y = -2
(0, -2)
Solve:
4(9 - x) = 3(x + 5)
x = 3
Solve:
x - 5 < -4 OR -9 > -2x + 7
x < 1 OR x > 8
Given f(x) = 2x + 9, find f(-5)
f(-5) = -1
Write the equation of a line in slope-intercept form that is parallel to the line y = 2x + 1 and passes through the point (6, 2).
y = 2x - 10
Solve the system:
y = 4x + 3
-8x + 2y = 6
IMS
Solve for T:
P = wT
T = P/w
Solve:
7(x + 9) > 4x - 3(1 + x)
x > -11
Trish is selling necklaces and plans to sell each for $7 a necklace
Independent = necklaces sold
Dependent = money made / profit
Find the linear regression line for the data below:
x: 1, 3, 6, 7, 9, 10
y: 10, 9, 6, 5, 2, -1
y = -1.16x + 12.16
Solve the
x = 5 - 3y
3x + 9y = -5
No solution