Linear Equations
Write the equation of the horizontal line that passes through (-5,92)
y=92
9x2 - 49
(3x - 7)(3x + 7)
True or False: A system composed of two linear equations with matching slopes but completely different y-intercepts has an infinite number of solutions.
False
State the coordinates of the vertex of the absolute value function y = 2|x - 3| - 4.
(3, -4)
Write an inequality: A number puzzle states that five less than three times a number is greater than or equal to -21.
3n - 5 ≥ -21
Find the value of k if the slope of the line passing through the points (9/2, 4) and (3, 5k) is exactly equal to 5k.
k=8/25
x2 - 4x - 45
(x - 9)(x + 5)
Solve. 3x - 4y = 26 and y = -3x
(26/15, -26/5)
What is the domain of the function y = 2|x - 3| - 4
all real numbers
A delivery truck travels 60 miles at an average speed of 45 mph. How fast must the truck travel during the next 40 miles to bring its overall average trip speed up to 55 mph? Round to the nearest tenth.
82.5 mph
Find the value of p if the slope of the line passing through (7/2, 5) and (2, 4p) is equal to 2p.
p=5/7
6x2 - 150
6(x - 5)(x + 5)
Solve for x. m+2k(2b-3x) = 4xh
x=m+4kb/4h+6k
What is the range of the function y = 2|x - 3| - 4
y≥-4
A retail store's inventory of winter coats changes rapidly over three months. The stock drops by 30% during a Black Friday sale, increases by 50% when a new shipment arrives before the holidays, and then drops by 10% during post-holiday clearance. How many coats are the store left with if they started with 200.
x=189
Find the slope 7x + 5y = 140
m=-7/5
4x2 - 52x + 168
4(x - 7)(x - 6)
Find the coordinates of the intersection point for the lines y = -3x and x = -2.
(-2, 6)
Solve |x - 7.2| ≤ 3.5
3.7 ≤x ≤ 10.7
A cash box contains 60 coins consisting entirely of nickels and quarters. If the total face value of the coins is $9.00, how many of each coin are in the box?
30 nickels and 30 quarters.
Write the equation of the line through the points (1/5, -1/3), (-3, -3) in standard form.
5x-6y=3
18ax2 + 48axy + 32ay2
2a(3x + 4y)2
Solve. 4 custom notebooks and 3 mechanical pencils cost $14.50. 6 notebooks and 2 mechanical pencils cost $18.00. What is the individual cost of one notebook and one pencil ?
Notebook (n) = $2.50, Mechanical Pencil (p) = $1.50
Translate the following into algebraic absolute value notation: "3.4 is at most 6.2 units away from a number x"
|x - 3.4| ≤6.2
How much water must be evaporated from 15 liters of a 30% saline solution to concentrate it into a 50% saline solution?
6 liters of water must be evaporated.