Lines and Linear Equations
S = 520.50 - 70w
The given equation represents the amount of money in a checking account w weeks after opening it. What does the number 70 in the equation mean?
The amount of money withdrawn from the account each week.
What is the sum of the values that satisfy the equation
4x^2+8x-5=0
-2
2^c*b^c=10^c
The equation above is true for all values of b and c. What is the value of b?
b = 5
A hot dog eater on Coney Island can eat 24 packages of hot dogs in 1 hour. At this rate, how many packages can he eat in 5 minutes?
2
The graph of a line passes through the origin and points (3, 2) and (9, b). What is the value of b?
b = 6
y=(x-2)^2-36
The equation for a parabola is given above. Express the equation in an equivalent form that shows the parabola's x-intercepts as constants in the equation.
y=(x-8)(x+4)
(x-8)(x-k)=x^2-5kx+m
In the equation above, k and m are constants. If the equation is true for all values of x, what is the value of k?
k=2
Of the people working in an office, eight are men and the rest are women. If 40% of the office workers are men, how many people work in the office?
20
y - 4x + 3.5 = 0
ax = 1.2y + 4.2
What value of a will cause the system of equation above to have infinitely many solutions?
a = 4.8
DAILY DOUBLE
y=-(x-2)^2+4
y=(x-2)^2+2
When graphed in the xy-plane the two parabolas given above intersect at 2 points, A and B. What is the length of the segment AB?
2
x^(a^2)/x^(b^2)=x^18
Given the expression above and a - b = 6, what is the value of a + b?
a + b = 3
When Emmanuel arrived in the country of Georgia, he exchanged $165 of United States currency for 385 Georgian Laris. When he was read to return to the US, he had 147 Georgian Laris left. Assuming the exchange rate was the same, how many dollars was this worth?
63
y=-1/2x+2
Given the equation of the line above, find the equation of a line that is perpendicular to the given one and whose y-intercept is two less than three times the y-intercept of the given line.
y = 2x + 4
y=x^2-12x+5
What are the coordinates of the vertex of the parabola whose equation is given above?
(6, -31)
(1/x+x)^2=16
Given the equation above, what is the value of
1/x^2+x^2
14
Whenever you are riding a car through a certain tunnel, you hold your breath. If you hold your breath for 8 seconds, and your car is traveling at 60 mph, how many feet long is the tunnel? (1 mile = 5,280 feet).
704