CCM1A Name:______
HW Review.1Show all work!!
1. Evaluate the expression for a = -2 and b = 6
2. Translate the following word expression into an algebraic expression
Eleven less than three times a number
3. Solve
a) -2(4d – 6) = 9d – 25 b) c) 3v + 8 = 8 + 2v + v
4. Write and solve an equation for the situation:
The number of juniors on the football team is 4 less than the number of seniors. If there is a total of 40 players on the team, how many juniors and seniors are there?
5. Simplify 6. Simplify
3v2 + 8 – 4v + 8 + 2v + v2 -2(4d – 6) +11d2
HW Review.2Show all work!!
Solve and GRAPH!
Answer the following questions:
1)What are four things you should address when describing the distribution (or graph) of a set a data?
2)What is the difference between a measure of center and a measure of spread?
3)Given a set of data, how do you calculate the following measures?
a) mean
b)median
c) range
d)interquartile range (IQR)
e) standard deviation
Use the following for #s 4 – 6. The following is a set of quiz grades for the first quiz in Mr. Smith’s class: 72, 90, 53, 75, 62, 100, 30, 69, 82, 100, 75, 58, 40, 85, 100, 55, 66, 70, 81, 60, 65
4) Find the mean and the median of the grades. Which measure best represents the data? Why? Describe the distribution of grades in context.
5) Create a box plot for the data. What is the range and IQR?
6) Create a histogram for the data. (On the back) Describe the distribution.
HW Review.3Show all work!!
1) Label each part of the box plot below:
2) How do you determine outliers?
3) The histogram below shows the graphs of telephone bills of customers in a certain city. How many customers had bills of at least $40?
4. State the Domain and Range {( 3, 4) (7, -2) (11, 3) (1, 4) }
a) Domain:
c) Is the relation a function?
b) Range:
5. Are the following relations functions? Explain why or why not.
a) (4, 6) (3, -5) ( 4, 9) ( -6, 7) b) (City , Zip Code) c) (Person, Birthday)
6. Evaluate
a) F(x) = 3x – 6 where x = 8b) If f(x) = 6x + 2, Find the value of x which makes f(x) = 14.
c) S(t) = -2t + 4 where t = 0
x / y–1 / –4
0 / –3
1 / –2
2 / –1
HW Review.4Show all work!!
1. Write the relation. 2. Given the table write a
a) Now Next Equation
b) Function Rule
3.
4.
HW Review.5Show all work!!
1) The cost of taxi ride is $7 plus $2.50 for each additional mile. What is the greatest number of miles you can drive in the cab if you have $30?
2) Write the equations in slope-intercept form, then graph.
a) -3y = 2x – 6 b) 4 + y = -2(x – 1)
Slope-Intercept form: Slope-Intercept form:
______
3) What are the slopes and y-intercepts of the following lines?
a) x = -2 b) y = 5
4) You are buying hotdogs and hamburgers for a BBQ. Hotdogs cost $2.59 per package and hamburgers cost $5.25 per package and you have $70 to spend. Write an equation that can be used to find out how many packages of hot dogs and hamburgers you can buy. Label your variables.
5) You are charged $5 admission to a theme park, and an additional 75 cents per ride you go on. Write an equation to model this situation. Label your variables.
HW Review.6Show all work!!
1) Find the slope of the line that that goes through the points (-1, 3) and (4, 5).
2) A recipe for 2 dozen corn muffins calls for 3 cup of flour. The number of muffins varies directly with the amount of flour you use. Estimate how many cups of flour are needed to make 9 dozen muffins.
3) Tell if the pair of lines are parallel, perpendicular or neither.
a) y = -2x – 1 and y = -1/2x + 5
b) y = x + 5 and –x + y = 12
c) 2x + 3y = 6 and 2y = 3x – 1
4) Study the following quiz grades from a class: 55, 78, 99, 67, 89, 100, 95, x, 82
The mean of these quiz grades is an 80. What was the quiz grade for student x?
5) Classify the following as categorical “C” or quantitative “Q” :
a) Eye Colorb) Time to get to the storec) Zip Coded) Hair length
6) James correctly solved the equation below:
Given: -3(x + 5) + 7x = 21
Step 1: -3x – 15 + 7x = 21
Step 2: 4x – 15 = 21
Step 3: 4x = 36
Step 4: x = 9
Between which 2 steps did James use the Division Property of Equality?