Solving Equations
3x + 7 = 1
x = ?
x = 2
48/4-4 =
412
f(x) = 6 + x
f(2) =
f(2) = 8
If a new dolphin tank with a volume of 250,000 gallons is added to a system with a combined volume of 1.25 x 106 gallons, what is the new total volume?
1.5 x 106 gallons
A quadrilateral ABCD is translated 3 units right and 2 units up. Then it is rotated 270 degrees counterclockwise. Is the image congruent to the preimage?
Yes, it is congruent.
x2 = 4/9
x =
x = 2/3 = 0.667
(-2)3(-2)2 =
-25 = -32
Which function is nonlinear?
y = (3x + 1)/2
y = -x
y = 2x(x - 4)
y = 1/2 x - 7
y = 2x(x - 4)
A scientist estimates that every square mile of the ocean contains an average of 4.6 x 104 pieces of trash. If the area of the oceans is approximately 1.2 x 108 square miles, how many pieces of trash are in the oceans?
5.52 x 1012 pieces of trash.
Pentagon PQRST is translated 6 units to the right. If vertex T had the coordinates (-3, 2), what are the new coordinates for T'?
(3, 2)
2(x - 3) = 2x + 5
x = ?
no solution
63/66 = ?
Give three possible answers.
6-3 = 1/63 = 1/216
Does the following set of ordered pairs represent a function?
{(-2, 2), (2, -2), (-4, 4), (4, -4)}
yes
The distance in kilometers to Proxima Centauri, the closest star to Earth, is 39,900,000,000,000. Estimate the distance by writing it in the form of a single digit times an integer power of ten (scientific notation).
4 x 1013 km
Segment FG begins at point f(-2, 4) and ends at point G(-2, -3). If the segment is translated 3 units left and 2 units up and then reflected across the y-axis to form segment F'G', how many units long is segment F'G'?
7 units
0.2(d - 6) = 0.3d + 5 - 3 + 0.1d
d = ?
d = -16
(5 x 10-6)/(4 x 103) =
1.25 x 10-9
Which of the following represent linear functions?
y = 2x
x = 8
y = 5x2 + 2
y = 1/2 x2
y = 2x
(8 x 102)(7.5 x 104)/(5 x 102)
1.2 x 109
If triangle ABC is rotated 90 degrees clockwise, what will be the new coordinates of vertex B' if the coordinates of vertex B were (-4, 1)?
(1, 4)
0.4(2x + 1/2) = 3[0.2x + (-2)] -4
x = ?
x = -5.1
(4 x 103)(6 x 104 + 6 x 104) =
in scientific notation
4.8 x 108
Does the following equation represent a linear function?
2x - 5y = -15
yes
The average weight of a blue whale is 4.5 x 105 pounds. The average weight of an elephant is 1 x 104 pounds. Approximately how many times heavier is a blue whale than an elephant in pounds?
45 times
In triangle ABC, angle A = 40 degrees, angle B = 60 degrees, and angle C = 80 degrees. If the triangle is reflected across the x-axis to form triangle A'B'C', what is the measure of angle B'?
60 degrees