7 - Ms. Stern's Classes
Name _______________________
IS 98
Class _______________________
Date _______________________
7.A.4 Solve multi-step equations by combining like terms, using the distributive property, or moving variables to one side of the equation
1. Solve for x: 10x – 20 = 2x + 60
A. x = 2
B. x = 3
C. x = 10
D. x = 15
2. Jay was asked to solve the equation -9x + 27 = 9
He used the following process:
-9x + 27 = 9
-9 -9
x + 27 = -1
–27 –27
x = -28
Was Jay correct in his work? Explain why or why not.
7.M.12 Determine personal references for customary /metric units of mass
1. If you walked 1000 paces, about how far would you walk?
A) one yard B) one mile C) one foot D) 18 inches
2. What unit is used for very long distances?
A) yard B) foot C) inch D) mile
7.M.5 Calculate unit price using proportions
1. Before you buy a large package size, you should think about...
a. the number of people in your family
b. if you have enough storage space
c. if the larger size costs less per unit than a few smaller ones
d. all of the above
2. Three cans of soup cost $1.75. Five cans of the same soup cost $2.96.
Part A
Find the unit price for each buy.
Part B
Which is a better buy? Explain why you think your choice is a better buy.
7.M.7 Convert money between different currencies with the use of an exchange rate table and a calculator
|Currency |In USD |Per USD |
|Columbian Peso |0.00040 |2,497.50000 |
|Czech Koruna |0.04546 |22.00000 |
1. 950 U.S. dollars = _____________ Columbian pesos
2. 325 Czech Korunas = _____________ U.S. dollars
8.A.6 Multiply and divide monomials
1. Divide:
[pic]
2. Explain how you would multiply 2m3n times (mn)2.
8.A.7 Add and subtract polynomials (integer coefficients)
1. (12ab2 – 6a2 + b2) – (6ab2 + 4ab – b2) = ________________________
2. How would you find the sum of (3xy2 + 4xy – 10) and (6xy + 3y2 – 9)? Explain.
8.A.8 Multiply a binomial by a monomial or a binomial (integer coefficients)
1. (2x + 4)(x – 7) =
A. 2x2 – 10x – 28
B. 2x2 – 3x + 28
C. 2x2 – 3x – 28
D. 2x2 – 10x + 28
2. Explain how you would find the product of (4x – 8) and (2x + 4).
8.A.9 Divide a polynomial by a monomial (integer coefficients) Note: The degree of the denominator is less than or equal to the degree of the numerator for all variables.
1. Simplify:
[pic]
2. Malcolm found that [pic]. Was he correct? Explain why or why not.
8.A.10 Factor algebraic expressions using the GCF
1. What is the greatest common factor of 9x2y3 + 18x2y – 27xy2?
A. 3xy
B. 3x2y
C. 9xy
D. 9x2y2
2. Factor the greatest common factor (GCF) out of the following polynomial:
[pic]
8.A.12 Apply algebra to determine the measure of angles formed by or contained in parallel lines cut by a transversal and by intersecting lines
1. Line r is parallel to line s. Which of the following is not a pair of congruent angles?
A. (2 and (8
B. (4 and (5
C. (1 and (8
D. (2 and (6
2. Line p is parallel to line q. If m(6 = 86(, what is m(1? Explain how you know.
m(1 = __________
I know this because
8.G.1 Identify pairs of vertical angles as congruent
8.G.2 Identify pairs of supplementary and complementary angles
8.G.3 Calculate the missing angle in a supplementary or complementary pair
1) If (ABC and (DBE are vertical angles and m(ABC = 25, what is the measure of (DBE?
m(DBE = _________(
In the figure below, lines FH and GJ intersect at point P. Ray PK is perpendicular to line FH. Use this figure to answer questions 9-12.
2) What is a pair of supplementary angles?
A. (JPK and (JPH
B (GPH and (JPH
C. (FPG and (KPH
D. (JPH and (FPG
3) Which is a pair of complementary angles?
A. (FPG and (JPH
B (KPJ and (KPF
C. (KPJ and (JPH
D. (KPH and (KPF
4) What is the measure of (KPG?
A. 118(
B. 98(
C. 8(
D. 100(
5) What is the measure of (JPH?
A. 82(
B. 90(
C. 8(
D. 100(
6) If m(2 = 45°, what is the sum of m(1 and m(3?
Answer ___________°
7) If two vertical angles are complementary, what is the measure of each angle? Explain your answer.
8.G.5 Calculate the missing angle measurements when given two parallel lines cut by a transversal
1) Lines v and w are parallel. If the measure of (8 = 125(, what is the measure of (5?
A. 65(
B. 90(
C. 135(
D. 125(
2) Lines x and y are parallel. If m(8 = 98(, what is the measure of (5?
A. 98(
B. 82(
C. 182(
D. 262(
3) Using the diagram below, identify which relationship is TRUE if a and b are parallel.
A. (1 is vertical to (3.
B. (2 is supplementary to (8.
C. (4 is alternate interior to (3.
D. (5 corresponds to (7.
4) Using the diagram below, identify which relationship is FALSE.
A. (5 is alternate exterior to (1.
B. (8 is supplementary to (2.
C. (4 is vertical to (6.
D. (1 corresponds to (3.
8.G.13 Determine the slope of a line from a graph and explain the meaning of slope as a constant rate of change
8.G.14 Determine the y-intercept of a line from a graph and be able to explain the y-intercept
1) What is the slope of the line shown in the graph at right? Show your work.
Slope __________________________
2) What is the y-Intercept of the line? ___________________________________
Explain how you know.
2) What is the slope of the line shown in the graph at right? Show your work.
Slope __________________________
2) What is the y-Intercept of the line? ___________________________________
Explain how you know.
8.G.15 Graph a line using a table of values
1) Graph the line for the following equation using a table of values.
[pic]
|x |y |
| | |
| | |
| | |
| | |
8.G.16 Determine the equation of a line given the slope and the y-intercept
1) What is the equation of a line with a slope of 3 and a y-intercept of -4?
A. y – 4 = 3x
B. y = 3x + 4
C. y = 4x +3
D. y = 3x – 4
2) What is the equation of a line with a slope of [pic] and a y-intercept of 0?
Equation ______________________
8.G.17Graph a line from an equation in slope-intercept form (y=mx+b).
1) Graph the line of the following equation using the slope and y-intercept. Explain how you did it.
y = -2x + 3
I graphed the line by
8.G.7 Describe and identify transformations in the plane, using proper function notation (rotations, reflections, translations, and dilations)
1) Reflections, rotations, translations, and dilations are all types of _______________.
2) All types of transformations preserve size except _______________.
3) Which of the following is true regarding the figure below?
A. Figure #1 was dilated by a factor of 3 to get figure #2.
B. Figure #1 was rotated 90( to get figure #2.
C. Figure #1 was translated 5 units in the positive x direction to get figure #2.
D. Figure #1 was reflected over the x-axis by a factor of 3 to get figure #2.
4) What would be the coordinates of A( if a triangle was reflected over the line y = x with point A(2, -5)?
A. (-2, 5)
B. (2, 5)
C. (2, -5)
D. (-5, 2)
8.G.10 Draw the image of a figure under a translation
1. If x = –2 and y = –1, which point on the accompanying set of axes represents the translation [pic]?
[pic]
(A) Q (C) S
(B) R (D) T
2. What is the image of (x,y) after a translation of 3 units right and 7 units down?
(A) (x + 3,y – 7) (C) (x – 3,y – 7)
(B) (x + 3,y + 7) (D) (x – 3,y + 7)
8.G.11 Draw the image of a figure under a dilation
1. Which transformation represents a dilation?
(A) [pic] (C) [pic]
(B) [pic] (D) [pic]
2. On the accompanying set of axes, graph ∆ABC with coordinates A(–1,2), B(0,6), and C(5,4). Then graph ∆A(B(C(, the image of ∆ABC after a dilation of 2.
[pic]
8.G.12 Identify the properties preserved and not preserved under a reflection, rotation, translation, and dilation
1. Under the transformation [pic] which property is not preserved?
(A) distance (C) parallelism
(B) orientation (D) angle measure
2. What property is not preserved in a rotation?
A) Angle measure
B) Congruence
C) Orientation
D) None of the above
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“Washington and Lincoln. The Father And The Saviour Of Our Country.” New York: Currier & Ives, 1865.
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