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SAT: Math: Algebra and Functions

Based out of the Collegeboard's SAT Prep Study Guide.
STUDY
PLAY
When multiplying expressions with the same base, ___ the ___.
add, exponents
a2 x a5 =
a7
t5 x t-2 =
t3
When dividing expressions with the same base, ____ _____.
subtract exponents
r5/r3 =
r2
When a number raised to an exponent is raised to a second exponent, _____ the ____.
multiply, exponents
(n3)6 =
n18
In an equation that involves absolute value, how many answers can you have?
Two.
For instance, /7-t/ = 10.
Either 7-t = 10 or -(7-t) = 10.
Translate: 3 times the quantity 4x + 6
3(4x + 6)
Translate: A number y decreased by 60
y-60
Translate: 5 less than a number k
k-5
Translate: x less than 5
5-x
Translate: 20 divided by n
20/n
Translate: 20 divided into a number y
y/20
Greater than:
> (left)
Less than:
< (right)
Multiplying or dividing both sides of an inequality by a negative number ____ the ____ of the inequality.
reverses, direction
Is, was, has
=
More than, older than, farther than, greater than, sum of:
+
Less than, difference, younger than, fewer:
-
Of
x, percent
For, per
Ratio, division
Distance =
rate x time
Time =
distance/rate
X and Y are directly proportional when
y = kx.
X and Y are indirectly proportional when
y = k/x.
The domain of a function is
The set of all the values for which the function is defined
The range of a function is
The set of all values that are the output, or result, of applying the function