Linear vs. Exponential
The equation C(t) = 0.50t + 2.50 represents the cost to purchase nachos with t toppings.
What does the y-intercept of the equation mean?
$2.50 is the cost of nachos with no toppings.
What is the distance between the points (-8, 11) and (-2, 15)? Leave your answer in radical form.
sqrt(52)
How many solutions will the following equation have? (1S, NS, IS)
4x + 7 = 3x + 7
1S
Solve the equation below for a:
m = (ax)/p
(mp)/x = a
Given g(x) = 2x - 1, solve for x when g(x) = 3
x=2
What is the 5th term of the geometric sequence below?
2, 4, ...
32
Convert the standard form equation below back into slope-intercept form:
7x - 5y = -20
y = 7/5x + 4
Simplify the monomial:
(2x4y-3)2
4x8/y6
Write the system for the scenario below:
Jordan and his kids went to a restaurant and bought $26 worth of drinks and tacos. Each drink costs $2.50 and each taco costs $2. He bought four more tacos than drinks.
2.50t + 2d = 26
t = d + 4
What value of k should complete the function below if f(-3) = 9?
f(x) = -2x + k
k = 3
Write the equation for the sequence below:
24, 27, 30, ...
y = 3x + 21
Write the equation of a line perpendicular to y = 1/3x + 8 that passes through (-2, 5).
y = -3x - 1
Solve the inequality below:
28 - 7x < -4(-7x - 7)
x > 0
Write a system of inequalities for the scenario below:
Sara wants to earn more than $240 over the summer. She earns $12 per hour babysitting and $10 per hour dog-walking. She wants to work less than 8 hours per week.
12B + 10D > 240
B + D < 8
Evaluate:
f(2) = 5 + 2(x - 4)2 + 7
f(2) = 20
A new car is purchased for $16,400. The value of the car depreciates 12.5% per year. Write the equation that would be used to find the value of the car after 8 years.
y = 16400(0.875)8
The midpoint of line segment AB is located at (-5, 7). Endpoint B is located at (-1, 3). What is the location of Endpoint A?
(-9, 11)
Solve for A.
d(A - N) = Q
Identify the x- and y-intercepts of the line 3x - 4y = 18
x-int: (6, 0) y-int (0, -9/2)
What is the sum of the y-intercepts of the following functions?
y = -x
y = 7(0.25)x
7
Write the equation for the sequence below:
0.06, 0.18, 0.54, ...
y = 0.02(3)x or y = 0.06(3)x-1
Find the average rate of change for the function y = 3x2 + 1 when x = 0 and x = 3.
9
Rate of change between (0, 1) and (3, 28)
Simplify the monomial:
-5x-2y3(-4xy)2
-80y5
The equation f(x) = 3(2)x can be used to determine the number of bacteria in a petri dish after x hours. How many bacteria are in the dish after 5 hours?
96 bacteria
3(2)5 = 3 x 2 x 2 x 2 x 2 x 2
Identify the growth or decay percentage from the equation below:
y = 0.5(1.0045)x
Growth of 0.45%