Multiple Choice
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Free Response # 21
Free Response # 22
Equations & Inequalities
100
The Commutative Property states that....
The order in which numbers are multiplied or added does not affect the final solution.
100
Given f(x) = -3x2 + 75, what is the solution(s) for f(3)?
48
100
Kathleen works at a bakery and wants to determine how many pastries are produced in one workday. She knows that on average 15 pastries are thrown away daily. Kathleen also knows that they produce 20 pastries per hour. How could you represent the rate of change for this problem using the variable x, for hours?
20 pastries per hour = 20x
100
Does M = -3 make the equation (1/3)M2 + 5 =8 true?
True.
100
The inequality symbol reverses when....
You multiply or divide by a negative number.
200
Write the solution set that is graphed on the number line below.
-1 < x < 2
200
Solve the equation
4(2 + 1.25f) = 10 - 3f
1/4
200
Kathleen works at a bakery and wants to determine how many pastries are produced in one workday. She knows that on average 15 pastries are thrown away daily. Kathleen also knows that they produce 20 pastries per hour. How many pastries will be produced in 3 hours?
45 pastries.
200
Solve 1/3K + 5 = 8 for K.
K = 9
200
How many solutions does the following equation have?
4x - 5 + 4x = 8(x -1) + 2
No Solution, because one side will never equal the other.
300
The temperature of a refrigerator was 36 ℉ the first day it was turned on. The second day the temperature of the refrigerator was 41 ℉. What was the temperature of the refrigerator the second day, in degrees Celsius?
Note: The formula for converting Fahrenheit Temperatures (F) to Celsius temperatures (C) is:
C(F) =5/9(F - 32)
5 ℉
300
How many solutions does the following equation have?
6(n - 3) = 1.5(n + 2) - 0.3
one solution, n = 4.6
300
Kathleen works at a bakery and wants to determine how many pastries are produced in one workday. She knows that on average 15 pastries are thrown away daily. Kathleen also knows that they produce 20 pastries per hour.
Write a linear equation that will show the total amount of pastries “y” produced every hour “x.”
y = 20x - 15
300
Does 1/3M2 + 5 = 8 have two solutions?
M = 3 and M = -3
300
What is the solution to the inequality
8x + 12 > 5x - 9?
x > -7
400
Alice is on the cross country team and has to run a certain amount of miles Monday - Friday to stay in shape.
R(d)models number of miles she runs in d days. What would be the most appropriate domain for the function?
A. {..., -1, 0, 1, 2, 3, 4, 5 ...}
B. {1, 2, 3, 4, 5 }
C. {1, 1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5 }
D. {...1, 1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5... }
B. {1, 2, 3, 4, 5 }
400
Yellow Cab Taxi charges a $1.75 flat fee in addition to $0.65 per mile. Katie has no more than $10 to spend on a ride. Which inequality can be used to solve for m, the maximum number of miles that Katie can ride the taxi?
A. 1. 75m + .65 10; 5 miles
B. 1. 75m + .65 10; 6 miles
C. 1. 75 + .65m 10; 12 miles
D. 1. 75 + .65m 10; 13 miles
C.
400
If y = 20x - 15 represents the total of number of pastries produced every hour, how many hours will Kathleen have to wait to see a positive number of pastries be produced?
x = .75 hours
400
Explain why the equation 1/3V2 + 5 = 2 does not have a real solution.
You cannot take the square root of a negative or something squared cannot be negative.
400
Solve the following equation for y:
10y + x = -21y - z
(-x - z)/31
500
Let f be a function such that
f(x) =3x -3 is defined on the domain 0 < x < 4. The range of the function is
-3 < y < 9
500
Which of the following is true about the graph of this inequality?
-1.4 (x + 5) - 2 > x - 18.6
C.
500
Kathleen’s main competitor Efrain produces P amount of pastries every hour and only throws away T amount of pastries. The total amount of pastries Efrain produces is represented by the equation y= Px - T. In terms of P and T, after how many hours will Efrain produce 350 pastries?
x = (350 + T)/P
500
Consider the real number B, and give all the values of B where 1/3V2 + 5 = B has at least one real solution.
B > 5
500
In physics, kinetic energy is the energy of an object in motion. Kinetic energy, k, is calculated using the formula
k = (1/2)mv2. Rearrange the formula to solve for velocity, v.
sqrt.(2k/m)