A
The ----- (or exponent) of a number says how many times to use the number in a multiplication.
It is written as a small number to the right and above the base number.
In this example the little "2" says to use 8 two times in a multiplication:
82 = 8 × 8 = 64
Power
In Algebra a ---- is either a single number or variable, or numbers and variables multiplied together.
----s are separated by + or − signs, or sometimes by divide.
Term
To ------ a number: just multiply it by itself.
Example: "4 ------d" is 4 × 4 = 16
Often shown with a little 2 in the corner like this: 42 = 16
that is said "4 ------d equals 16"
A ------ ------ is the number we get after multiplying an integer (not a fraction) by itself.
Square Number
The result of multiplying a whole number by itself twice.
Example: 3 × 3 × 3 = 27, so 27 is a ---- -------.
The whole number is used three times, just like the sides of a cube.
Cube Number
A symbol for a value we don't know yet. It is usually a letter like x or y.
Example: in x + 2 = 6, x is the --------.
Variable
A number used to multiply a variable.
Example: 6z means 6 times z, and "z" is a variable, so 6 is a -------------.
Variables with no number have a ---------- of 1.
Example: x is really 1x.
Sometimes a letter stands in for the number.
Example: In ax2 + bx + c, "x" is a variable, and "a" and "b" are ----------s.
Coefficient
The -------- of a number says how many times to use that number in a multiplication.
It is written as a small number to the right and above the base number.
In this example: 82 = 8 × 8 = 64
(The -------- "2" says to use the 8 two times in a multiplication.)
Exponent
A value, or values, we can put in place of a variable (such as x) that makes the equation true.
Example: x + 2 = 7
When we put 5 in place of x we get: 5 + 2 = 7
5 + 2 = 7 is true, so x = 5 is a --------.
Solution
Finding what to multiply to get an expression. (Called Factorizing in British English.)
Example: 2y+6 = 2(y+3),
so the factors of 2y+6 are: 2 and (y+3)
Factoring
How much there is of something.
Example: What is the -------- of rice?
• We can say "a handful"
• Or use a measuring cup and say "40 milliliters"
• Or we can count them and say "1562"
Quantity
An "input" value of a function.
Example: y = x2
• x is an Independent Variable
• y is the Dependent Variable
Example: h = 2w + d
• w is an Independent Variable
• d is an Independent Variable
• h is the Dependent Variable
Independent Variable
The "output" value of a function.
(It is called ------------ because its value depends on what you put into the function.)
Example: y = x2
• x is an Independent Variable
• y is the Dependent Variable
y is 4 if we put in x=2
y is 9 if we put in x=3
etc
(See how y gets pushed around by x, it isn't fair at all.)
Dependent Variable
The -------------------- says that multiplying a number by a group of numbers added together is the same as doing each multiplication separately.
Example: 3 × (2 + 4) = 3×2 + 3×4
So the "3" can be "distributed" across the "2+4" into 3 times 2 and 3 times 4.
Distributive Law
The ----------------- is 1, because multiplying a number by 1 leaves it unchanged:
a × 1 = 1 × a = a
Multiplicative Identity
The ------------- is 0, because adding 0 to a number does not change it:
a + 0 = 0 + a = a
Additive Identity