Expressions
Evaluate the expression
\frac{4*(3-1) + 2}{2\cdot(7-2)}.
1
Solve the equation for x:
5x + 12 = 37.
x = 5.
True or false: There exists a function y = f(x) with the property that there is some y that does not correspond to a unique x.
True
How many significant figures does the number
0.001809000
have?
7
Write an expression for the following and evaluate:
Eight more than the product of four and the difference of two and one.
4(2 - 1) + 8 = 12.
Solve for x:
\frac{4x - 2}{3} = 2x + 1.
x = -5/2.
Consider
f(x) = 4x - x^2 + 5.
Evaluate f(5).
f(5) = 0.
Report the following sum with the correct number of significant digits.
(15.4 m.)(0.12 m.)
1.8 m2
Evaluate the expression 12a + 2 when a = 5.
62
Write and solve an equation that corresponds to the following word problem:
Stapay has seventeen more than three times the number of apples that Mara has. If Stapay has 50 apples, how many apples does Mara have?
3x + 17 = 50.
x = 11 apples.
Consider the sequence given by
a_n = 1 + 4(n-1).
Compute a10 and state whether the sequence is arithmetic, geometric, neither, or both.
a_{10} = 37.
This sequence is arithmetic.
How many seconds are there in an hour?
3600 seconds
Evaluate the expression 14x - 5y when x = 1 and y = -2.
24
Suppose it costs 2 dollars to purchase an apple, 3 dollars to purchase an orange, and 5 dollars to purchase a kiwi. Express the total cost C, in dollars, of a purchase of a apples, o oranges, and k kiwis.
C = 2a + 3o + 5k.
Suppose that a linear function y = f(x) has the property that the graph of the function passes through the point (1, 2). If the graph has y-intercept (0, 10), write an equation for y in terms of x, in y-intercept form, that represents the function.
y = -8x + 10.
Convert 23 meters to feet.
Approximately 75 feet (75.46 in theory)
10(0.25) + 2(0.10) + 7(0.01) = $2.77
Solve the following word problem using a strip diagram.
Joe wants to purchase 32 Gb of RAM. After making 2 even payments, he still owes $5000. If the total cost of the purchase is $7000, how much was each payment?
$1000.
Consider the geometric sequence given by
a_n = 4\cdota_{n-1}.
and
a_1 = 2.
Write out the first 5 terms of this sequence.
2,8,32,128,512
Convert 12 meters per second to miles per hour.
Approximately 27 miles per hour (26.84 miles per hour in theory)