Multi-step Equations & Inequalities
Linear Function
Systems of Equations
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
What is the solution to the system of linear equations when lines are parallel?
no solution
100
Which of the following is modeled by a linear 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 5/2
200
Given the linear function f(x) = -5x + 7, if -2 is part of the domain, what is the corresponding range value?
17
200
What is the value of y in the solution to the system of equations below?
y=-x+6
2x-y = -9
7
200
A function f is defined by f(x) = 2x + 4x. What is the value of f(3)?
20
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
The function f(x) = 0.85x + 3.99 models the total cost of purchasing x key chains from an Internet company that charges shipping. The function g(x) = 1.10x models the total cost of purchasing x number of the same key chains from an Internet company that does not charge shipping.
What is the best approximation of the number of key chains for which the two companies charge the same amount?
a. 14 b. 15 c. 16 d. 17
c. 16
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
The difference between two numbers is 96. The larger number is five times the smaller number. What are the numbers?
a. 16 and 80 c. 24 and 120
b. 22 and 110 d. 26 and 122
c. 24 and 120
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
Jaylen bought four notebooks and three packs of paper for $23.75. A notebook costs four times as much as a pack of paper. What is the cost of one pack of paper?
a. $1.25 b. $2.19 c. $3.75 d. $5.00
a. $1.25
500
Two functions are shown below.
f(x) = 2x – 6
g(x) = -x + 9
What is the value of x when f(x) = g(x)?
5
500
1.4