Expressions
Equations
Sequences and Functions
Measurements, Significant Figures, Unit Conversion
100
Evaluate the expression
\frac{2*(5-3) + 2}{1+1*(13 - 11)} + 2*(\frac{10-8}{2^2}).
3
100
Solve the equation for x:
\frac{x - 4}{5} = 4x - 1
x = \frac{1}{19}.
100
True or false: There exists a function f(x) and x1, x2 in the domain of f such that x1 = x2, but f(x1) is not equal to f(x2).
False
100
How many significant figures does the number
0.001809000
have?
7
200
Simplify the following algebraic expression:
4[7 - 2(x+3)] + 7x - 3
1-x
200
Below is the plot of a line y. Write the equation of y in terms of x.
y = 1/3 x + 1.
200
Consider the arithmetic sequence given by
a_n = 6 + 2(n-1).
for integers n at least 1. Write the first 5 terms of an.
6, 8, 10, 12, 14
200
Convert 3 miles to yards.
3 miles = 5280 yards.
300
Evaluate the expression 10x - 3y + 1 when x = 2 and y = -3.
30
300
Consider the three points (2, 5), (3, 8), and (15, 29). Is there a line that passes through all three points (In other words, are the points colinear)?
Nope.
300
Consider the sequence given by
2,10,50,250,1250,...
Is the sequence arithmetic or geometric? Give a closed formula for an for
n\ge1.
This sequence is geometric.
a_n = 2\cdot5^{n-1}.
300
A Siriometer is the distance between Earth and the Sirius star, which is approximately 15.8 lightyears. A lightyear is approximately 9.46 trillion kilometers. Convert 1 billion meters per second to siriometers per hour (round to 6 decimal places).
0.000024 siriometers per hour