Linear Equations and Polynomials
Solve
4x - 9 = 19
x = 7
Solve:
x + 4 > 10
x > 6
What is the slope of a line that rises 6 units and runs 2 units?
m = 3
What is the slope-intercept form of a linear equation?
y= mx+b
How many solutions does a system have when two lines intersect at exactly one point?
One (consistent and independent system)
Expand the expression:
10b2(4b - 7)
40b3 - 70b2
-3x ≤ -18
x ≥ 6
Find the slope of the line passing through (6,13) and (4,7).
m = 3
Write the equation of a line with a slope of -2 and y-intercept of 7.
y= -2x +7
Factor:
(15abc - 45b2)
15b(ac -3b)
33 + 3(n + 5) = 53 - 2n +6n
Solve
35 - 6w ≥ 17
w ≤ 3
Find the slope of the line passing through (6,4) and (3,4).
m = 0
Write an equation in slope-intercept form for the line 1/3 and x-intercept of 5.
y = 1/3x - 5/3
Solve the system:
3x+y = 7
4x +2y = 16
x = -1
y = 10
Factor:
x2 - 7x + 12
(x - 3) (x - 4)
What is a number not part of this solution set?
-74(-19x + 21) > 97
x > 1.17425 which means that any number 1 and below would be a correct answer
Find the slope of hte line passing through (5,1) and (5, -3).
Undefined
Write the equation of the line that passes through (-1,5) and is parallel to y=3x+1.
y=3x+8
A system of equations has two lines with the same slope but different why intercepts. How many solutions does the system have?
None
Factor:
12x2 + 14x + 4
(3x + 2) (4x +2)
A worker earns $15.50 per hour, and 26% of the pay is deducted for taxes. How many hours must the worker work to have at least $500 in take-home pay?
Give your answer to the nearest hour.
41 hours
A used car is purchased for $5,000. Four years later, it is worth $2,100. What is the average rate of change in the car's value per year?
$725 per year
y=2x-14
Solve the system of equations:
x + y + z = 6
2x - y + z = 3
x + 2y - z = 2
x = 1
y = 2
z = 3