Multi-step Equations & Inequalities
Linear Functions
Quadratic Functions
Exponential Functions
Statistics & Geometry
100
2(4x − 3) − 8 = 4 + 2x
x = 3
100
Find the slope between these points:
(1, −19) and (−2, −7)
-4
100
Factor:
x2 - 5x + 6
(x - 2)(x - 3)
100
Which of the following could NOT be modeled by an exponential function?
A) the amount of money, y, in an account after x years earning 4% interest compounded annually
B) the monthly cost, y, to use a cell phone for x minutes at a rate of 4 cents per minute
C) the height, y, of a ball after bouncing x times, if each bounce reaches 2 3 the previous height
D) the amount, y, of radioactive material remaining after x years when decay occurs at a rate of 30% each year
The answer is:
B
100
Given a linear function, y = -3x + 5, what is the slope of any line that is perpendicular to this line?
1/3
200
1/3(x-7)=1/5x-2
x = 2.5 or 2/5
200
Given the linear function f(x) = -5x + 7, if -2 is part of the domain, what is the corresponding range value?
17
200
When looking for solutions of a quadratic equation, what are you looking for on the graph? These can be called _________, _________, or ____________.
x-intercepts, zeros, or roots
200
Given the exponential function, y=350(1.25)^x
1) Does this model growth or decay?
2) What is the initial amount?
3) What is the percentage rate of growth or decay?
1) growth
2) 350
3) 25% growth
200
What type of correlation does the data represent? (Use these words to help you....strong, weak, positive, negative, no correlation, etc.)
Strong negative correlation
300
8x - 3(2x +4) ≥ 4x - 6
x ≤ 3
300
The function f(x) = 37x + 20 models the total cost for Rachel to be a member at a gym for x months. What can be interpreted from both the slope and the y- intercept of the function?
The slope represents her cost of $37 per month.
The y-intercept represents the initial cost of $20 for the gym membership fee.
300
What is the value of the larger root/zero of the quadratic equation?
f(x) = 3x2 -14x + 15
x=3
300
Kelly is studying bacteria. She begins with 5 and realizes that they double each day. How many will she have in a week?
640
300
Round your answer to the nearest whole number.
$290
400
Sarah has $800 in a savings account at the beginning of the month. She wants to have at least $300 in the account by the end of the month. She withdraws $50 each week for groceries and entertainment.
Write an inequality that represents Sarah’s situation.
A. 800 − 50w ≥ 300
B. 50w + 800 ≥ 300
C. −50w + 800 ≤ 300
D. 800 + 50w ≥ 300
A. 800 − 50w ≥ 300
400
What is the value of x in the system of equations shown below?
5x + 4y = 1
y = 1 - x
x = -3
400
Hannah goes cliff diving and jumps off of a cliff. Her jump is modeled by the equation. (Round to the nearest whole number.)
What is her maximum height?
h(x) = -16x2 + 124x
240 ft
400
The population growth of small town is modeled by the function y = 12000(1.05)x . What will the population be in 4 years? (Round to the nearest whole number)
About 14,586
400
2
500
The length of a rectangle is 3 more than 3 times its width. The perimeter of the rectangle is 174 inches. What is the length of the rectangle?
66 inches
500
Susan has 48 coins totaling $8.00 and the coins are all nickels and quarters.
Write a system of equations that can be used to determine the number of nickels, n, and quarters, q, that Susan has?
n + q = 48
.05n + .25q = 8
500
Given the quadratic function f(x) = x2+7x+6, find the following key features of its graph:
1) y-intercept
2) x-intercepts or zeros
3) Is the vertex a maximum or minimum?
4) What is the domain and range of the function?
1) y-intercept is at (0, 6)
2) x-intercepts are at (-6,0) and (-1,0)
3) minimum
4) Domain is all real numbers, range is y>=-6.25
500
Frank bought a car that cost $33,000 dollars. The car depreciates approximately 12% of its value each year. Which equation represents the value, v, of the car after t years?
A. t = 33,000(0.12)v
B. v = 33,000(0.12)t
C. t = 33,000(0.88)v
D. v = 33,000(0.88)t
The answer is:
D
500
1.4