Name _________________________________________
Algebra I – Pd _____
Date ___________________
Easter Assignment
Assignment – For Part 1, 2, 3 and 4 you must show all work, number your work and all your keep in order.
When you are finished, you are to place all your final answers in the spaces provided below (NEATLY!).
NO WORK = NO CREDIT Staple (with your own staple, not mine) 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.
The assignment is due on April 8th in class.
REMINDER: STAPLE THIS SHEET TO THE FRONT OF ALL YOUR WORK
Part 1 - Show work on loose leaf and write answers in space below.
.
1. _____
2._____
3. _____
4. _____
5. _____
6. _____
7. _____
8. _____
9. _____
10. _____
11. _____
12. _____
13. _____
14. _____
15. _____
16. _____
17. _____
18. _____
19. _____
20. _____
21. _____
22. _____
23. _____
24. _____
25. _____
26. _____
27. _____
28. _____
29. _____
Part 2- Show work on loose leaf and write answers in space below.
1.__________________
2. .__________________
3.__________________
4.__________________
5. .__________________
6.__________________
7.__________________
8. .__________________
9.__________________
10.__________________
11. .__________________
12.__________________
13.__________________
14. .__________________
15.__________________
16.__________________
17. .__________________
18.__________________
19.__________________
20. .__________________
21.__________________
22.__________________
23. .__________________
24.__________________
25.__________________
26. .__________________
27.__________________
28. .__________________
29.__________________
Part3 - Show work on loose leaf and write answers in space below.
1. _________________________________________________________________________________
2. _____________________
3. ___________________________________________________
1
Part 4 – Show work on loose leaf and write your final answers and graphs in the space below
1)
F.A. = _________________
2)
b) __________________________
c) __________________________
d) __________________________
e) __________________________
2
Name _________________________________________
Algebra I – Pd _____
Date ___________________
Easter Assignment
Part 1 –
1) Given the expression 21r14s20t16 + 28r12s15t12 + 35r11s13t15, what is the GCF?
[1] 21r14s20t116
[2] 21r11s13t12
[3] 7r14s13t16
[4] 7r11s13t12
2) Which notation represents the set of all numbers from 1 through 5 inclusive?
[1] (1,5)
[2] (1,5]
[3] [1,5)
[4] [1,5]
3) The daily cost of renting a car is $35 plus $0.30 per mile traveled. If Effie paid $139.70 for a day’s
rental, how many miles did she travel? Hint: Set up as an equation
[1] 465
[2] 23
[3] 232
[4] 349
1
4) Solve: 9 = (48𝑥 − 24)
8
[1] 3
[2]
1
3
[3] 2
[4]
1
2
5) If 2 boxes of mints cost $10.40, how much will 9 boxes cost? (Hint:How much will 1 cost then multiply by 9)
[1] $57.20
[2] $52.00
6) Solve For 𝑑 in the equation 𝑏𝑑 + 𝑒 = 𝑓
𝑓+𝑒
𝑓−𝑒
[1] d = 𝑏
[2] 𝑑 = 𝑑
7) Graph: 2(𝑥 − 1) ≤ 4𝑥 + 6
[3] $46.80
[3] 𝑑 =
𝑓+𝑒
𝑑
[4] $41.60
[4] 𝑑 =
𝑓−𝑒
𝑏
Write in answer
8) Find the slope of the line passing through the points (−4,9) and (−4, −9).
9
4
[1] 4
[2] 𝑧𝑒𝑟𝑜
[3] 9
[4] 𝑢𝑛𝑑𝑒𝑓𝑖𝑛𝑒𝑑
9) Which of the following lines is not parallel to:
[1] 𝑦 = −3𝑥
[2] 𝑦 = −3𝑥 + 12
10) Solve: 8𝑥 + 2𝑦 = −12
6𝑥 + 2𝑦 = −4
[1] (4, −22)
[2] (−2.5, 4)
𝑦 = −3𝑥 − 7
[3] 𝑦 = −3𝑥 − 5
[3] (−4, 14)
3
[4] 𝑦 = 3𝑥 + 7
[4] (−4, 10)
11) Find five consecutive integers such that the sum of the 2nd and 4th is 112.
[1] 54,55,56,57,58
[2] 24,25,26,27,28
[3] 56,57,58,59,60
[4] 52,54,56,58,60
12) Multiply: 2√9 ∙ √3
[1] 2√27
[2]3√6
[3] 6√3
[4] 2√3
3𝑥−6
13) Which value of x makes the denominator of 𝑓(𝑥) = 4𝑥−1 equal to zero?
[1]
1
4
[2] 2
[3]
1
[4] 4
2
14) Write the expression so that it contains only positive exponents.
𝑓8
[1] 𝑑2 𝑒 4
[2] –
𝑑2 𝑒 4
𝑓8
𝑓8
[3] − 𝑑2 𝑒 4
𝑑 −2 𝑒 −4
𝑓 −8
[4] 𝑑 2 𝑒 4 𝑓 8
15) Multiply and express in correct scientific notation.
(4.0 x 103 ) (3.7 x 104 )
[1] 1.48 × 107
[2] 7.7 × 107
[3] 1.48 × 108
[4] 14.8 × 107
16) Simplify: (8𝑥 4 𝑦 3 )(9𝑥 2 𝑦 2 )
[1] 17𝑥 4 𝑦 2
[2]17𝑥 6 𝑦 5
[3] 72𝑥 8 𝑦 6
[4] 72𝑥 6 𝑦 5
17) Add: (3𝑥 2 + 7𝑥 4 − 7) + (−5𝑥 4 − 5 + 3𝑥 2 )
[1] −2𝑥 4 + 2𝑥 2 − 12
[2] 2𝑥 4 + 6𝑥 2 − 2
[3] 2𝑥 4 + 6𝑥 2 − 12
[4] −2𝑥 4 + 2𝑥 2 − 4
18) Multiply: (𝑥 – 4)(𝑥 – 6)
[1] 𝑥 2 – 10𝑥 + 24
[3] 𝑥 2 + 24𝑥 – 10
[2] 𝑥 2 + 24
[4] 𝑥 2 – 10𝑥 – 24
19) Which ordered pair is in the solution set of the system of inequalities shown in the graph below?
[1] (−2,4)
[2] (−3, 8)
[3] (1, 6)
[4] (-3, -8)
4
20) Use the diagram to find cos 𝑥 as a fraction in simplest form.
3
[1] 5
5
[2] 3
4
[3]3
3
[4] 4
21) Graph: 𝑦 = −𝑥 2 + 4𝑥 − 1
[1]
[2]
[3]
[4]
22) Solve: |5𝑥 + 1| = 6
7
7
[1] { − 5 , −1}
1
[2] {− 5 , 1}
6 12
4 6
[3] {5 , 5 }
[4] {− 5 , 5}
[3] −3
[4] − 3
1
23) Simplify: √4 − √25
[1] 3
[2]
3
10
1
24) Find the equation of the line that has a slope of −4 and passes through (−3, −1).
[1] 𝑦 = −4𝑥 − 13 [2] 𝑦 = 4𝑥 − 13
[3] 𝑦 = −4𝑥 + 13
[4] 𝑦 = 4𝑥 + 13
25) Which set of side lengths cannot form a right triangle?
5
13
[1] 2 𝑚𝑚, 6𝑚𝑚, 2 𝑚𝑚
[2] 5𝑚𝑚, 12𝑚𝑚, 13𝑚𝑚
[3] 10𝑚𝑚, 24𝑚𝑚, 26𝑚𝑚
[4] 6𝑚𝑚, 12𝑚𝑚, 13𝑚𝑚
26) How many different ways can the letters in the word YOURSELF be arranged?
[1] 40,320
[2] 64
[3] 36
[4] 5,040
27) The intersection of the sets {3, 6, 9}, {2, 4, 6}, and {1, 5, 7, 8} is:
[1] Ø
[2] {6}
[3] {1, 5, 7, 8}
[4] {1, 2, 3, 4, 5, 6, 7, 8, 9}
28) Which of the following equations can be used to solve for the number, if eight less than triple a
number is equal to fourteen more than five times the same number.
[1] 3x – 8 = 5x + 14 [2] 8 – 3x = 14 + 5x [3] 8x – 3 = 5x + 14 [4] 8x + 3 = 5x – 14
29) Which equation is a linear function? (Hint: Which forms a straight line)
5
[1] 𝑦 = 3𝑥
[2] 𝑦 = |𝑥 − 2| + 5 [3] 2𝑥 − 4𝑦 = 5
[4] 𝑦 = 2𝑥 2 – 3𝑥 + 4
Part 2 – Answer All Questions.
#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
3) x2 + 15x + 54
6) 9x2 – 196
9) 9x7 + 9x6 – 504x5
12) 196x15 – 49x13
15) 45k2 + 21k – 24
18) 21w2 + 93w + 36
19) x2 – 4x = 45
22) 6x2 + 144 = 60x
25) 3x2 + 5x – 11 = 6x2 – 9x – 59
27) 10x2 = 20x + 350
20) x2 + 64 = – 16x
23) 3x3 + 30x2 + 63x = 0
26) 3x2 – 11x – 33 = 7x2 – 3x – 33
28) x2 + 10x = 96
21) 77 – 4x = x2
24) x2 + 10x = 96
29) 4x6 + 20x5 = 144x4
Part 3 – Show all work on looseleaf and rewrite answers on answer sheet
1)
A jar of change has $57.25 in it. There are 2 dimes more than 3 times the amount of nickels and
3 quarters less than double the amount of nickels. How many nickels, dimes, and quarters are
in the jar? (There are no pennies in the jar)
2)
Solve the system of equation algebraically and check.
5𝑥 − 𝑦 = 4
4𝑥 + 2𝑦 = 6
3)
An apple tree casts a 23-foot shadow. If the angle of depression is 36°, how tall is the tree?
Part 4 – Do all work on loose leaf, place your graphs and final answers on the answer sheet.
1)
Solve the system of linear equations graphically and check.
𝑦 = 3𝑥 + 1
𝑥 =𝑦−3
2)
a) Sketch the graph of 𝑦 = 𝑥 2 − 4𝑥 + 3 for all values −1 ≤ 𝑥 ≤ 5
b) Is the vertex a minimum or maximum?
c) Find the axis of symmetry.
d) What are the coordinates of the vertex?
e) What are the roots ?
6
ANSEWER KEY
Assignment – For Part 1, 2, 3 and 4 you must show all work, number your work and all your keep in order.
When you are finished, you are to place all your final answers in the spaces provided below (NEATLY!).
NO WORK = NO CREDIT Staple (with your own staple, not mine) 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.
The assignment is due on April 8th in class.
REMINDER: STAPLE THIS SHEET TO THE FRONT OF ALL YOUR WORK
Part 1 - Show work on loose leaf and write answers in space below.
.
1. _4__
2._4__ 3. __4_
4. _3__
5. _3__
8. _4__
9. _4__
10. _4__
11. __1_
12. _3__
15. _3__
16. _4__
17. _3__
18. _1__
19. __1,2 AND 3_
22. _2__
23. __2_
24. _Y=-4X-13_
25. __-_
6. __4_7. _X ≥ -4___
13. __-_
26. __-_
14. __1_
12
20. _15__
21. _1__
27. _1__
28. _1__
29. __3___
Part 2- Show work on loose leaf and write answers in space below.
1.__________________
2. .__________________
3.__________________
4.__________________
5. .__________________
6.__________________
7.__________________
8. .__________________
9.__________________
10.__________________
11. .__________________
12.__________________
13.__________________
14. .__________________
15.__________________
16.__________________
17. .__________________
18.__________________
19.__________________
20. .__________________
21.__________________
22.__________________
23. .__________________
24.__________________
25.__________________
26. .__________________
27.__________________
28. .__________________
7
29.__________________
Part3 - Show work on loose leaf and write answers in space below.
1. ____68 NICKLES, 206 DIMES AND 133 QUARTERS________
2. ____(1,1)_________
3. __________The tree is 16.7 ft tall____________________________
Part 4 – Show work on loose leaf and write your final answers and graphs in the space below
1)
F.A. = ____(1,4)__________
(Final answer) or SOLUTION!
LABEL BOTH LINES WITH EQUATION
CIRCLE THE SOLUTION
LABEL X AND Y
2)
b) ____MINIMUM_________
c) ____x = 2___________
d) ____(2, -1)___________
e) ___(1,0) and (3,0)_______________________
x
-1
0
1
2
3
4
5
y
8
3
0
-1
0
3
8
Graph x,y points
Draw the parabola
Label axis
Remember arrows
Write equation on
graph
8
9