Mystery!
Given the following function, find f(-4), f(0), f(3)
f(x) = 3 - 2x
11, 3, -3
Write a recursive formula and the simplified explicit formula for the following sequence:
-18, -22, -26, -30, -34,...
a_1 = -18
a_n = a_(n-1) - 4
a_n = -14 - 4n
Solve:
x - 2y = 0
5x + 6y = -16
(-2, -1)
The graphs of 3x + 6y = 18 and y = mx + 6 are parallel. What is the value of m?
-1/2
-x < -4
Is the circle open or shaded? Is the line of solutions pointing left or right?
Shaded; right
The x-values you choose for your ordered pairs are -2, -1, 0, 1, 2. Based on the function, what are the corresponding y-values?
f(x) = -3|x|
-6, -3, 0, -3, -6
Write an recursive formula given the explicit formula, and identify the first term.
a_n = 8 + 20n
a_1 = 28, a_n = a_(n-1) +20
Solve:
-4x + 2y = -13
9x - 2y = -17
(-6, -18.5)
Write an equation in standard form which passes through the points
(4, 0) and (0, -2).
x - 2y = 4
The graph on the number line resembles a dumbbell with an open circle over -6 and a closed (shaded) circle over -2. Write the inequality to represent this graph.
-6 < x < -2
The y-intercept is (0, -2). The slope is 3/4. The line is dashed. The shade is below the line. What is the inequality representing this situation?
y<3/4 x-2
Write the simplified explicit formula given the recursive formula:
a_n = a_(n-1) + 8; a_1 = 16
a_n = 8 + 8n
One line contains (-2, 2) and (2, 0). On the same graph, another line contains (-6, -2) and (-2, 4). What is the solution?
(-3, 2.5)
Rewrite the following equation to solve for x:
y = -3/4 x - 12
x = -4/3 x - 16
Solve.
-3x > - 6 or 5x < -5
x < 2 or x < -1, which means x < 2 is the answer!
Line m has a y-intercept of (0, 1) and slope of 1/2. Line n has a y-intercept of (0, 7) and a slope of -3/2. What is the solution?
(3, 2.5)
To dog sit for Mr. Berry, you earn $18 for the first hour, then $23 for each hour thereafter. Write a simplified explicit formula, then determine the how much money you will make for dog sitting for 6 hours.
a_n = -5 + 23n; $133
Solve:
y = 4x + 6
y = 3x + 12
(6, 30)
A line passes through the points A(n, 6) and B(3, 7) and is parallel to y = 2x + 5. What is the value of n?
2.5
Solve.
-5 < -3x - 2 < 4
-2 < x < 1
A rectangle has a perimeter of 56 cm and an area of 115 cm2. Its length is 3 more than four times its width. Find the length and width of the rectangle.
Length 23 cm, width 5 cm
The following points are plotted on a coordinate plane: (1, -4), (2, -1), (3, 2), (4, 5), (5, 8). Write a recursive formula to represent this data. Then, write the simplified explicit formula.
a_1 = -4
a_n = a_(n-1) +3
a_n = -7 + 3n
Bill and Carole went to the Scottsdale Bakery. Bill bought 6 eclairs and 14 donuts for $24.96. Carole bought 12 of each for $25.92. What is the price of each eclair and each donut?
Each eclair is $.66.
Each donut is $1.50.
Find the equation of a line perpendicular to the given line passing through the point (-1, 4).
2x - y = -6
y = -1/2 x + 7/2
Solve.
-5 - 3/4 y < -17
y > 16