eQuizShow
REVIEW Chapters 3 and 4!
Solving Inequalities Ch. 3
Question: What is the solution to -1/2x < 18?
Answer: x > -36
Question: What is the solution to 3a < 15?
Answer: a < 5
Question: What is the solution for n? -3n < -18
Answer: n > 6
Question: The senior class is selling lanyards as a fundraiser. The profit for each lanyard is $0.75. Write and solve an inequality to determine the number of lanyards the class must sell to make a profit of at least $250. Find that minimum number!
Answer: 0.75n >/ 250 n>/ 333 1/3, so they must sell at least 334 lanyards.
Question: Mrs. Hurley wants to run at least 10 miles per week. So far this week, she has run 3.5 miles. Write and solve an inequality to determine how many more miles Mrs. Hurley must run to reach her goal.
Answer: 3.5 + m > 10
M >/ 6.5, so Mrs. Hurley must run at least 6.5 miles sometime this week! Pant pant!
Solving MORE Inequalities Ch. 3
Question: What is the solution for this inequality? 1/5x + 1/2 > 2/3
Answer: y > 3 1/2
Question: Spot Check Auto will charge $70/hour for labor plus $450 in parts to fix my car. Fix 'Em Now will charge $55/hr. plus $570 for parts.
For how many hours of labor will Spot Check Auto cost LESS than Fix 'Em Now? Give the whole number answers.
Answer: H < 8 Spot Check Auto will cost less than Fix 'Em Now if it takes less than 8 hours. {0, 1, 2, 3, 4, 5, 6, 7}
Question: What is the solution for 4 (1 - p) < 4 (2 + p)?
Answer: p > - 1/2
Question: Can you solve 3w + 1 > 3 (w - 1)?
Answer: 4 > 0, so
identity! {all real numbers}
Question: Can you solve this compound inequality? -3 + r > 4 OR r + 1 < - 1
Answer: r > 7 OR r < -2
Better r < - 2 OR r > 7
Graphs and More Ch. 4
Question: Is this graph a function? How do you know? 
Answer: Yes, it is a function. Every x has just one y-value! Note that the vertical line test works, too.
Question: Is this graph a function? How do you know?
Answer: It is NOT a function because several x's have more than one y-value. For instance, (-1, 2.9), (-1, -2.9) Note that the vertical line test does not work.
Question: Is this graph a function? How do you know?
Answer: It is a function! Every x has just one y! (The vertical line test works here, too!)
Question: What is the domain and range of this graph?
Answer: D: { - 5 </ x </ 4}
R: {<-2 </ y </ 4}
Question: Can you draw a discrete graph and a continuous graph?
Answer: 
Discrete: points, only
Continuous: one continuous line
Writing Functions Ch. 4
Question: What is the relationship between x- and y-?
| x | 1
| 2
| 3 | 4
|
| y | -4
| -8 | -12
| -16 |
Answer: y = -4x
Question: What is the relationship between x- and y-values? Write an equation.
Answer: y = 6x
Question: What is the independent variable (x, or input) and the dependent variable (y, or output) this situation?
Mrs. Hurley spends $3.25 for every batch of fudge that she makes.
Answer: independent variable: number of batches of fudge
dependent variable: total cost
guarantee: tastiness!!! YUM!
Question: What is the function rule for this situation? Identify the variable, too.
What is the independent variable (x, or input) and the dependent variable (y, or output) this situation?
Mrs. Hurley spends $3.25 for every batch of fudge that she makes.
Answer: b=number of batches
f(b) = 3.25b
Question: What is the solution to this function, given the input value?
g(n) = n2+ 4 n = - 3
Answer: g(n) = 13
Arithmetic Sequences Ch. 4
Question: Does this sequence appear to be arithmetic? If so, find the common difference and the next three terms.
-8, -5, -2, -1,...
Answer: Yes. common difference + 3 ...4, 7, 10
-8, -5, -2, -1,...
Question: Does this sequence appear to be arithmetic? If so, find the common difference and the next three terms.
11, 6, 1, -4,...
Answer: Yes! common difference: -5 -9, -14, -19
Question: What is the indicated term of the arithmetic sequence?
24th term: asub1 = 7, d = -3
Answer: -62
Question: What is the 32nd term: 18, 11, 4, -3,...?
Answer: -199
Question: What is the 20th term? asub1 = -20, d = 3
Answer: 37