Polynomials I
A polynomial with two terms
Terms with the same variable with the same exponent
Like terms
In the polynomial (5x2 + x + 14), 5x2, x, and 14 are ______.
Terms
An equation has two expressions that are ______.
equal
The inverse operation of squaring
square root
Only like terms can be ______ and ______.
added and subtracted
The property that says multiplying a number by a polynomial is the same as multiplying each term separately.
Distributive property
According to exponent laws, when you _____ numbers with the same base (such as x⋅x) you must _____ the exponents and keep the base the same.
Multiply and add
If n = 2 satisfies the equation 16n = 32, then we say that n = 2 is ______.
A solution
The solution to an equation makes the ______ of the equation equal the ______.
left side and right side
Simplify x + 7y - 4x - 3y -2
-3x + 4y - 2
Simplify 3x(-x + 3)
9x2 + 9
Simplify 2x + 3y - 5xy - 3y + 1
2x - 5xy + 1
13x = 169. What inverse operation must be performed to both sides of the equation to isolate for x?
Divide 13
To check that a “solution” satisfies the equation, you need to ______ the solution back into the original equation.
substitute
Simplify (2x + 3) - (5x - 1)
-3x + 4
Simplify 2(x + 1) + 7(1 - x)
-5x + 9
Simplify 8(2x - y + 4)
16x - 8y + 32
Solve 43s - 19s = 72
s = 3
What is the solution to 6x + 3 = 9?
x = 1
Simplify (x + 8)(3x - 2)
3x2 + 22x - 16
Simplify (2x - 9)(x - 1)
2x2 -11x + 9
Simplify (5.6x + 9) - (3.7p + 3) + (-1.9p - 6)
0
The equation to find the perimeter, P, of a rectangle is P = 12x - 56. If the perimeter is 16cm, what is the value of x?
x = 6
The number, n, is doubled and decreased by 46. The resulting value is 162. What is the value of n?
n = 104