Unit 1
Patterns & Equations
1. Describe any patterns you notice inthe table.
Let x be the values in column 1.
Write an expression for column 2. ______
Write an expression for column 3. ______
Write an expression for column 4. ______
2. Copy this table. Put an “x” in the box for each set to which the number belongs.
3. Th e perimeter of quadrilateral ABCD is 96. The quadrilateral has side lengths AB =4x, BC = 2x,
CD = x, and DA = 5x. Write an equation to solve for x. Then find the length fo each side.
4. Provide a reason for each step in solving theequation shown below.
(1) 3(x - 4) - 2(x + 1) = 6 - 4x 1. ______
(2) 3x - 12 - 2x - 2 = 6 - 4x2. ______
(3) x- 14 = 6 - 4x3. ______
(4) x- 14 + 4x = 6 - 4x + 4x4. ______
(5) 5x - 14 = 6 + 05. ______
(6) 5x - 14 = 66. ______
(7) 5x - 14 + 14 = 6 + 147. ______
(8) 5x + 0 = 208. ______
(9) 5x = 209. ______
(10) x_ = 10. ______
(11) x= 411. ______
5. Solve the following equation. Show your work. 5x - 7 = 3 - 6(x - 2)
6.Solve the following inequality. Show your work. 1 3x + 4 ≤ 10
Unit 2
Linear Functions
1. Determine if either of the following mappings is a function. Write the definition of a function.
2. y= |x + 3| is graphed at the right. Give the
domain and range. Is this relation a
function? How do you know?
3. Lauren claims that the slope of the linethrough (-1, 8) and (4, 3) is the same asthe slope of the line through (-6, 2) and(-8, 4). Prove or disprove the claim andexplain your reasoning.
4. Karsie has already saved $50 toward thepurchase of a new MP3 player. She plans tosave $15 more toward the purchase eachweek for the next several weeks.
a)Write a linear function that models thissituation.
b)Karsie has decided she will not pay morethan $200 for her new MP3 player. What
is the maximum number of weeks she willneed to save? Write and solve a linear inequality for this.
5. Identify which equation hasdirect, inverse or neither type of variation.
a. y = xb. y = c. y = xd. y = 3x –7
6. Find the slope and the y-intercept of the linewith equation 3x- y - 7 = 0.
Unit 2+
Linear Functions & More
1. Write an equation of the line passingthrough the points (-4, 6) and (-3, 8).
2. Given the graph below, write the equation
of the line in slope-intercept form and in
standard form.
3. Given the standard form of the line2x - 6y = 12, write the intercept formand give the x- and y-intercepts.
4.
Jeremy collected data and created the
scatter plot below to show the relationship
between the day of the month and the
amount of snow on the ground over a 24-day
period.
Draw a “best fitting line.”
Determine the equation for this line.
Predict the snow fall for Feb.8.
5. Does the table below represent a constant rate of change. If so, what is the slope?
x / 1 / 3 / 6 / 8y / 3 / 11 / 23 / 31
6. What is the solution set of the inequality? Graph your solution. |2x - 3| 7
Unit 3
Extensions of Linear Concepts
1. Use the piecewise function
Sketch the graph.
Describe the function. Is it continuous?
2. Write an inequality for the half-plane.
Is itopen or closed?
3. Write the equation of a line parallel to2x - 3y = 6 and containing the point (0, 9).
4. Write the equation of a line perpendicularto the line y = -2x + 4 containing the point(-4, 2).
5. Sketch the graph of the inequality6. Determine whether the pairs of lines with
y≥ -_ 21_ x - 4. the given slopes are parallel, perpendicular,
or neither.
a. m 1 = 12m 2 = –12
b. m 1 = – m 2 = –
c. m 1 = –m 2 = 2
d. m 1 = m 2 =
Unit 3+
Systems of Linear Equations & Inequalities
1. What is the y-coordinate of the solution tothe system?
X+ y = 6
2x –2y = 4
2.Solve by substitution.
y = 12_ x
4x + 2y = 20
3. Solve by elimination.
2x + y = -4
5x + 3y = -6
4. Solve using any method.
4x + y = 7
6x - 2y = 0
5. Solve using any method.
3x - y = -2
-6x + 2y = 4
6. Give a graphic solution for the
following system of inequalities.
Name 3 points in the solution.
y2x + 1
x + y ≥ 3
Unit 4
Exponents, Radicals & Polynomials
1. Simplify each of the following.
a) –3x2 (–4x y3)5
b) 6.8 X 10 –3
4.0 X 10–2
2. Complete the table below to create an
exponential function.
x / 0 / 1 / 2 / 3 / 4y / 5 / 10 / 20 / 40 / ?
Write the function rule.
Sketch the function at the right.
3. Simplify each of the following.
a) 3 ─ + 6
b)
c) (4 + ) ( 2 + )
d) __ +
4.a) Simplify: (6 x2+ 4x - 8) ─ ( x4+ 9 x2- 11x + 3)
b) Factor: x2+ 10x + 25
c) Factor completely: x3+ 18 x2 + 15x
5. Find the product.
(3x - 8)(3x + 8)
6. Simplify completely.
Unit 5
Quadratic Functions
x / y0
1
2
3
4
1. Write the function in standard
quadratic form.
Then complete the table.
Identify the minimum or maximum.
Sketch the graph.
y = 3 + x2- 4x
2. Write an equation for the function shown
at the right.
Name the vertex and 2 other points on the
parabola.
3. Give the solutions to the equation below.
(x ─ 2)2 = 20
4. How many real solutions does the equation3 x2 +4x + 1 = 0 have? Explain.
5. The equation h(t) = ─9t2 + 75t + 300 represents the flight of a model rocket. How long will it take the rocket to hit the ground?
6. The equation h(t) = ─9t2 + 75t + 300 represents the flight of a model rocket. What is the maximum height for the rocket?
Unit 6
Statistics
1. The Bulldogs are the local softball team. The runs
scored for their ten game season are given in
the table at the right.
Find the mean and the mean absolute deviation for
this softball team.
2. A sample of 15 cards is taken from thecollection of baseball cards. The ages inyears of the selected cards are:
21, 43, 24, 36, 56, 43, 13, 27,35, 24, 29, 30, 47, 38, 50
a. Calculate the five-number summary.
b. Draw a box plot to illustrate thedistribution.
3a. Determine what percent of his totaltime (in hours) on a given Saturday Robspends on each of the activities.
Skateboarding: 1 Reading: 1Sleeping: 10 Eating: 2
Studying: 4 Texting Friends: 2Time with Family: 4
3b.Howbig would each sector of the circle graph be for each activity?
4. Joel test grades for this period have been 88%, 88%, 95%, 98% and 90%? What score must he get on his next test to get an average of 93% ?
5. Does the graph to the right accurately
display the data from a survey of favorite foods?
Why or why not?
Jody DID included this graph in her report,
give a statement that would she would include
with this bar graph.
6. How does scale affect the look of the
data about automobile sales in the 1990’s?
If you are writing a report to convince your
audience that sales were slow which would
you include in your report? Why?