Scientific Notation/ Exponents/Roots
Estimate the square root of 45.
6.7
What are the slope and y-intercept of the linear equation below?
y = -5x + 2
m = -5/1
b = 2
What is the constant rate of change of the function represented in the table below?
x y
-5 23
-1 7
3 -9
7 -25
-4
What is the population of Ohio written in Scientific Notation if the population is 11,500,000?
1.15 x 107
The table shows how much Addison earns for working various numbers of hours at a part-time job.
x y
10 hours ---> $72.50
15 hours ---> $108.75
20 hours ---> $145.00
Which of the following describes the constant rate of change?
$7.25 per hour
The slope of a line is -1/5 and the y-intercept is (0, 6). What is the equation of the line in slope-intercept form?
y = -1/5x + 6
The average distance from the Earth to the moon is about 384,000 kilometers. What is this number written in scientific notation?
3.84 x 105
What is the solution to the system of equations below?
3x - 2y = 7
-3x + 5y = 5
(5,4)
Which two points form a line that has a slope of –3?
a. (-5, 3) and (2,4)
b. (1, -6) and (-4, 9)
c. (-4, -3) and (5, 0)
d. (2, 8) and (-1, -1)
B.
The distance from the Sun to Earth is about 1.5 × 1011 meters. Suppose light travels at a speed of 3 × 108 meters per second. About how long does it take light from the Sun to reach Earth?
5 x 102
A taxicab service charges $3.75 plus $0.40 per mile. Molly takes a taxicab from the hotel to the airport. If the total charge was $10.95, which equation could be used to determine the number of miles from the hotel to the airport?
3.75 + 0.4m = 10.95
Which linear function has the steepest slope?
a. y = -1/2x -5
b. y = -2/5x + 3
c. y = 4x - 2
d. y = -6x + 1
d.
What is the value of 4-3?
1/64
A moving company charges $40 plus $0.25 per mile to rent a van. Another company charges $25 plus $0.35 per mile to rent the same van. For what number of miles will the rental cost be the same for both companies?
150 miles
What is the equation in slope-intercept form of the line that passes through (–2, 17) and (3, –13)?
y = -6x + 5