Download Name _________________________________________ Cumulative Review Algebra – Pd ___

Name _________________________________________
Algebra – Pd ___
Cumulative Review
Easter Assignment
Assignment – For Part 1, you must show all work number your work and keep in order. Part 2,
answer questions on looseleaf and write answers in space below. 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)
Assignment is due Monday April 12th before 8:30am in E012. No late papers 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. _________________
3. (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
a) y =
x+2
b) y = x - 2
c) y = -2x + 2
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
3
2
c) 4x + 7x + 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)
a 4 b1
c5
3
4
c)
3
8
d)
3
16
 3x
b) -2x2 + 3x - 3
45x 3 y 2

3 y 15x
22) Simplify: 23 16  10  2
c) x2 + x - 3
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) Find three consecutive odd integers whose sum is 33.
2) 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.
3) 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
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
2
2
26) 3x – 11x - 33 = 7x – 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