Algebra & Functions
Given that a line passes through (2,6) and (8,9)
Find the equation of the line.
y= 0.5x + 5
Simplify: (w^9)(w^6)
w^15
g(x) = ax2 + 24
For the function g defined above, a is a constant and g(4) = 8, What is the value of g(-4)?
-1
What is 15% of 540?
81
Written as a decimal...
2.3 x 10 -5
0.000023
The vertex form of the equation x2+ 4x+3 is ______
(x+2)2 -1
Factor the expression 9x3+18x2 -27x
9x(x+3)(x-1)
4x + y =-5
-4x -2y = -2
What is the y-coordinate of the solution to the systems of equations shown above?
7
An item originally priced at $55 is marked 25% off. What is the sale price?
The sale price is $41.25
First, the markdown is 25% of the original price:
x=(0.25)(55) = 13.75
Subtract this markdown from the original price:
55 - 13.75 = 41.25
What is 4!
4x3x2x1 = 24
which of the following quadratic equations has no solutions?
a)0= -2(x-5)2 + 3
b) 0= -2(x-5)(x+3)
c) 0= 2(x-5)2 +3
d) 0= 2(x+5)(x+3)
c) 0= 2(x-5)2 +3
Simplify √243
9√3
How could you rewrite (4-1x2 y-3)2 ?
x4/16y6
Katarina is a botanist studying the production of pears by two types of pear trees. She noticed that Type A trees produced 20 percent more pears than Type B trees did. If Type A trees produced 144 pears how many pears did Type B tree produce?
115
sin 30 is _____
1/2
Simplify: (10a4 bc2)(7a4 b3 c)
47a8 b4 c3
If x = k-1/3, where x>0 and k>0, which of the following equations fives k in terms of x/
a) k = 1/x3
b)k = -x3
c) k = -cuberoot(x)
A
g(x-1)=3x2 + 5x - 7 Which of the following defines g(x)?
A) g(x)= 3x2 - x - 9
B) g(x)= 3x2 + 5x + 1
C) g(x)= 3x2 + 11x + 1
D) g(x)= 3x2 + 11x - 6
C
Mr. Popalisky bought a laptop computer at a store that gave a 20 percent discount off its original price. The total amount she paid to the cashier was p dollars, including an 8 percent sales tax on the discounted price. Which of the following represents the original price of the computer in terms of p?
a)0.88p
b)p/0.88
c) 0.8(1.08)(p)
d) p / (0.8)(1.08)
D
bc
P=(1.08)(0.8)(x)
p/(1.08)(0.8) = x
If (4+3i) (1-2i) = a + bi
what is the value of a ?
( i = sqrt(-1))
10