Name Easter Review Assignment Alg1

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Name
Alg1
Easter Review Assignment
Due: Monday, April 16, 2012
1) A store sells hats for $12 and ties for $22. Last weekend the store sold 7 fewer ties than
double the amount of hats and the sales were $2,926. How many of each were sold?
2) A store sells hats for $12 and ties for $22. 160 total items were sold and total sales were
$2,430. How many of each were sold?
3) Find 5 consecutive integers with the sum of -905.
4) Find 4 consecutive even integers such that the sum of the 2nd and 4th is 176.
Name
Alg1
Easter Review Assignment
Due: Monday, April 16, 2012
5) Find 6 consecutive odd integers such that the sum of the 4th and the 6th is 139 less than 5 times
the 3rd. (Remember, make “is” the equal sign.)
6) Solve algebraically and check (3 columns, kriss kross)
5x + 7y = -19
11x - 8y = -112
7) Solve algebraically and check (3 columns, kriss kross)
9x + 4y = 32
-7x + 10y = -97
8) Factor each:
a) x2 – 3x – 108
b) 4x3 + 48x2 + 144x
c) 4x2 -9x + 5
Name
Alg1
9) Solve for x:
5x2 – 11x + 17 = 6x2 – 3x - 3
10) Solve the system graphically and check:
y + 1 = -3(x – 2)
11x – 11y = 77
Easter Review Assignment
Due: Monday, April 16, 2012
Name
Alg1
11) y + 4 = - ¾ (x – 8)
y=8
Graph the inequality (Remember to test and shade)
12) 27x – 9y > 36
Easter Review Assignment
Due: Monday, April 16, 2012
Name
Alg1
Easter Review Assignment
Due: Monday, April 16, 2012
13) x < -3
y – 4 > ½ (x – 8)
14) Factor each:
a) 9x2 – 16
b) 9x2 – 81
c) 36x2 – 121
d) 36x2 – 225
Answer Key:
1) 55 ties, 103 hats 2) 109 ties, 51 hats 3) -183,-182,-181,-180,-179 4) 84,86,88,90
5) 45,47,49,51,53,55 6) (-8,3)
7) (6,-5.5)
8)a) (x+9)(x-12) b)4x(x+6)(x+6)
8)c)(4x-5)(x-1)
9) x= {-10,2} 10) (3,-4)
11) (-8,8)
12) graph 13) graph
14) a) (3x + 4)(3x – 4) b) 9(x+3)(x-3)
c) (6x-11)(6x+11) d) 9(2x+5)(2x-5)
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