Download Name _________________________________________ Date __________ Period ____ Algebra Easter Assignment

Name _________________________________________ Date __________ Period ____
Algebra
Easter Assignment
Assignment – For Part 1, you must show all work number your work and keep in order. Part 2,
answer questions on loose leaf and write answers in space below. Part 3, answer questions on
loose leaf and graph paper. NO WORK = NO CREDIT Staple your work together in order, with
this page being the first. If it the work is not stapled (with a staple) you will lose 5 points. Fill in
your answers below (neatly).
The assignment is due on May 2nd in class. Absolutely no late assignments will be accepted.
Part 1 - Show work on loose leaf and write answers in space below
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Part 2. - show work on loose leaf and write answers below
1. ______________
3. (b)
2. (a)
3. (c)
Part 3 - On loose leaf and graph paper – do the work as it was taught, show all steps
Part 4- show work on loose leaf and answers below
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REMINDER: STAPLE THIS SHEET TO THE FRONT OF ALL YOUR WORK
Easter Assignment
-1-
Name ___________________________________________
(Do not hand in the questions)
1) If m + 1 < n, then
a) n > m
b) m > n
2) If 16(24 + y) = 1600, then y =
a) 66
b) 76
3) If a = 2, b = 6 and c = 4, then
a) 4
Easter Break Assignment
c) m = n
d) n + 1 < m
c) 1200
d) 1216
c) 40
d) 0.04
c) 228%
d) 43.75%
(4a − b )2 =
b+c
b) 0.4
4) Ninety is what percent of 200?
a) 4480%
b) 45%
5) Sam has 8 coins worth $1.40. Some of the coins are nickels and some are quarters. How
many of each coin does Sam have?
a) 6 quarters and 2 nickels
b) 5 quarters and 3 nickels
c) 4 quarters and 4 nickels
d) 3 quarters and 5 nickels
6) Which equation has a graph that is a horizontal line?
a) x - 7 = 0
b) x = y
c) y = 4
7) When 2x - 3y = 6 is solved for y, which equation results?
−2
2
x+2
b) y = x - 2
c) y = -2x + 2
a) y =
3
3
8) What is the slope of a line passing through (2, -8) and (4, 1)?
2
−6
−7
a)
b)
c)
9
7
6
d) x = y + 0
d) y = 2x - 2
d)
9
2
9) Which of the following equations has a graph that is parallel to the graph of 4x - 2y = 7?
a) 2y = 4x + 7
b) -2y = 4x + 2
c) 7 - 4x = 2y
d) 4x + 2y = 2
10) Which is a solution? |4x - 3| = 21
a) -6
b) 6
c) 4.5
d) -2
11) Which point is a solution to the inequality
a) (3, 1)
b) (-1, -1)
y > 2x - 4
c) (0, -5)
d) (-5, 2)
12) Solve:
9y + 3x = 3
4y - 3x = 23
a) (5, -2)
c) (6, 3)
13) Evaluate: (1.7 x 10-4)(2.4 x 106)
a) 4.1 x 102
b) 4.08 x 102
Easter Assignment
-2-
c) 4.08 x 1010
b) (1, 5)
c) (-5, 2)
d) 4.1 x 10-2
14) Find the difference (3x3 - 5x2 + 7x + 5) - (x3 + 2x2 + 3x - 4)
a) 2x3 + 7x2 + 4x + 9
b) 2x3 - 7x2 + 4x + 9
c) 4x3 + 7x2 + 4x + 9
d) 4x3 - 7x2 + 4x + 9
15) Find the product of (6x + 5)(3x - 11)
a) 18x2 - 55
b) 18x2 - 51x - 55
c) 3x2 - 51x - 55
d) 9x2 + 8x + 16
16) Which of the following is the greatest common factor of 12x5 - 18x2?
a) 2x2
b) 2x5
c) 6x2
d) 6x5
17) Factor: x2 - 8x - 20
a) (x + 5)(x - 4)
b) (x - 2)(x - 10)
c) (x - 5)(x + 4)
d) (x + 2)(x - 10)
a −4 b −1
c −5
c5
d) 4
a b
18) Write the expression so that it contains only positive exponents
a) a4bc5
b) -
9
16
19) Simplify:
20) Find (6x3 + 3x2 - 9x)
a) 2x2 + 3x - 3
21) Simplify:
c5
a 4b
a)
c) −
5
6
b)
÷ 3x
b) -2x2 + 3x - 3
45 x 3 y 2
•
3 y 15 x
22) Simplify: 23 × 16 + 10 ÷ 2
a 4 b1
c5
3
4
c)
3
8
c) x2 + x - 3
d)
3
16
d) 2x2 + x - 3
a) 3x2 y
b) x2y
c) 3xy
d) -3x2y
a) 130
b) 104
c) 133
d) 69
23) Solve for v in the equation C = 9u2v
a) C - 9u2
b) 9u2 - C
c)
C
9u 2
d)
9u 2
C
24) The daily cost of renting a car is $20 plus $0.30 per mile traveled. If Kelly paid $89.60
for a day's rental, how many miles did she travel? a) 23 b) 299
c) 365
d) 232
Part II - work on looseleaf and rewrite answers on answer sheet
1) The area of a rectangle is 112cm2. The width is represented by (x - 2) and the length by
(x + 7). Find the value of x, then find the perimeter.
2) Graph the following inequalities on number lines
a) (15x - 8) - (19x + 8) < -14
b) 20 - 3x > 26 ∪ 6x - 11 > 13
c) -13 < 3x - 13 < -1
Easter Assignment
-3-
Part III - Do all work on looseleaf and graph paper – one graph on each side of the
graph paper with the corresponding work next to the graph
1) Solve the following system of linear equations algebraically and check.
-2y + x = -6
5y - 3x = 11
Questions 2 – 4 on graph paper!! one question per page!!!
2) Solve the following system of linear equations graphically and check
y+x=4
y = -2x + 5
3) On a properly labeled set of axes, graph -2x + y > 8 (graph, test 2 points, shade)
4) Solve the system of inequalities graphically:
y + 6 > -1(x - 6)
12x - 12y < 12
5) Solve the following Quadratic-Linear system graphically.
y = -x2 - 2x + 8
y=x+4
(remember for the parabola you must find the min/max, AOS, vertex, roots
and for the line you must find m and b)
Part IV - #1-18 Factor COMPLETELY
#19-29 Solve by factoring
1) x2 – 5x – 84
4) x2 – 21x + 90
7) 8x2 – 24x – 320
10) 225x2 – 36
13) 18y2 + 21y + 5
16) 12s2 – 8s - 20
2) x2 + 2x – 80
5) x2 – 121
8) x9 + 13x8 + 36x7
11) 81x6 – 144x4
14) 15f2 – 46f + 3
17) 24d2 – 4d - 42
19) x2 – 4x = 45
22) 6x2 + 144 = 60x
25) 3x2 + 5x – 11 = 6x2 - 9x – 59
27) 10x2 = 20x + 350
20) x2 + 64 = -16x
21) 77 – 4x = x2
3
2
23) 3x + 30x + 63x = 0
24) x2 + 10x = 96
26) 3x2 – 11x - 33 = 7x2 – 3x – 33
28) x2 + 10x = 96
29) 4x6 + 20x5 = 144x4
Easter Assignment
-4-
3) x2 + 15x + 54
6) 9x2 – 196
9) 9x7 + 9x6 – 504x5
12) 196x15 – 49x13
15) 45k2 + 21k - 24
18) 21w2 + 93w + 36