Linear Equations and Solving
2X+5=15
X=5
What is the vertex of f(x)=(x−3)2+2?
(3,2)
what is the square root of 16?
4
Evaluate f(x)=2x+1 at x=3
7
In an exponential function of the form y=a⋅bx, what does b represent?
The growth factor or base
3(x-2)=9
x=5
Find the zeros of f(x)=(x−4)(x+2).
X=4 and -2
simplify the fraction 6/3
2
Does the point (2, 7) lie on the line y=3x+1? Yes or no?
Yes
A bacteria population starts at 100 and doubles every hour. After 3 hours, how many bacteria?
What is 800?
The sum of two consecutive integers is 47. Find the smaller integer.
what is 23
Factor completely: x2−25
(x-5)(x+5)
If a function f(x) = 3 times the square root of x plus 1, what is f(8)? Express your answer as a whole number.
9
A function is defined by the set of ordered pairs: {(1, 2), (2, 4), (3, 6), (4, 8)}. What is the range?
What is {2, 4, 6, 8}?
Write an exponential function where the initial value is 50 and the growth factor is 1.2.
What is y=50⋅1.2x?
A taxi charges a $2.50 base fare plus $1.50 per mile. If the total fare is $13, how many miles were traveled?
What is 7 miles
Subtract: (3x2+5x−2)−(x2+2x−4). Simplify.
2x2+3x+2
Factor and simplify: (x2+5x+6)/(x+2). What polynomial remains?
X+3
The graph of y=∣x∣ is reflected over the x-axis and shifted up 3 units. Write the new function.
What is y=−∣x∣+3?
A car depreciates at 15% per year. If it costs $20,000 initially, what's its value after 2 years?
What is $14,450?
Two equations: y=2x+3 and y=−x+9. Find the x-coordinate of their intersection.
what is x=2
The parabola f(x)=x2 is shifted left 3 units and up 5 units. Write the new equation in vertex form.
What is f(x)=(x+3)2+5
What is the number 1 thing you should always do on your regents?
Read the directions!
Two functions: f(x)=x2 and g(x)=(x−2)2+1. Describe all transformations from f to g.
What is "shifted right 2 units and up 1 unit
An investment grows according to A(t)=5000⋅1.05t. How many years until the investment doubles?
What is approximately 14.2 years (or 14-15 years)?