The ℝ-chives
Evaluate 15 - 3 x 4 + 2
5
Express 0.000045 in scientific notation.
4.5 x 10-5
In a right triangle with legs of 3 and 4, what is the length of the hypotenuse?
5
Factor out the GCF: 5x2 + 20x.
5x(x + 4)
In the system x + y = 10 and x - y = 2, what is the value of x
6
Which property of real numbers is shown here:
a(b + c) = ab + ac?
Distributive Property
Write 6.2 x 104 in standard form.
62,000
True or False: The Pythagorean Theorem can be used on an obtuse triangle.
False
Factor the trinomial: x2 + 5x + 6.
(x + 2)(x + 3)
Which method is most efficient if one equation is already solved for y ( for example : y = 3x + 1)?
Substitution
Simplify |-12| - (42 / 8)
10
Multiply 2 x 103 by 4 x 105. Give the answer in scientific notation.
8 x 108
A 13-foot ladder leans against a wall. The base is 5 feet from the wall. How high does the ladder reach?
12 feet
Solve for x by factoring: x2 - 49 = 0
x = 7, x = -7
Solve using elimination: 2x + y = 8 and x - y = 1.
(3, 2)
If x is an irrational number and y is a rational number, is x + y always rational, always irrational, or sometimes both?
Always irrational
DAILY DOUBLE
A light-year is approx. $9.46 x 1012 km. How many km are in 0.5 light-years?
4.73 x 1012 km
Find the missing side c if a = 7 and b = 24
25
Factor the difference of squares: 16x2 - 81.
(4x - 9)(4x + 9)
If a system of three variables has no solution, how would you describe the intersection of the three planes?
They do not all meet at a single common point.
Use the order of operations to solve: {23 + (10 - 22)}/3
4.67 or 14/3
Divide 8 x 104 by 2 x 10-2
4 x 106
A square has a side length of 10 cm. To the nearest tenth, what is the length of its diagonal?
14.1 cm
Solve for x by factoring: x2 - 10x + 25 = 0
x = 5
Solve for (x, y) using equalization (setting them equal): y = 2x + 4 and y = 3x - 1.
(5, 14)