Name
Alg1 Q4 Test 1 Review
April 16, 2012
Due: Thursday, April 19 (C Period: Due Friday)
Part I: Consecutive Integer Problems:
1) Find 5 consecutive odd integers with the sum of -1,065. What is the product of the 2nd and 5th?
2) Find 6 consecutive integers such that the sum of the 3rd and 6th is 377. What is the sum of the 1st and
4th?
3) Find 4 consecutive even integers such that 4 times the 1st is 166 less than the sum of the 2nd and the
3rd.
4) Find 6 consecutive even integers such that the sum of the 4th and the 6th is 92 less than 4 times the 2nd.
Part II: Systems
Substitution:
5) x = 3y – 5
6x – 13y = -40
6) 6x + y = -9
8x – 11y = -160
Elimination:
7) 5x – 7y = 91
6x + 8y = 60
8) 7x + 6y = 36
-6x - 14y = 9
9) 5y = 8x - 2
10x – 7y = 10
Part III: Systems Word Problems
10) Boohbah went into Dunkin Donuts for breakfast. Boohbah bought 6 donuts and 5 muffins for $14.15.
Boohbah went to order some more because Boohbahs need a lot of energy. He bought 2 donuts and 7
muffins for $14.05. Find the price of each item.
11) At DePhillip’s Sporting Goods store SFP sweatshirts were sold for $45 and Holy Cross sweatshirts
were sold for $32. If 200 sweatshirts were sold and total sales were $8,948, how many of each sweatshirt
were sold (true story).
Part IV: Percents
12) What # is 60% of 742?
13) 238 is what percent of 680?
14) 193.2 is 23% of what #?
16) 2x – 1 _ =
x+7 _
x+1
x+5
17)
Part V Proportions
15)
2x + 5
5
=
8x - 4 _
14
x+8_ =
x + 24
2x – 3 _
x–9
All Periods: Test Friday, April 20
Answer Key:
1) -217,-215,-213,-211,-209
2) 185,186,187,188,189,190
3) -80,-78,-76,-74
4) 50,52,54,56,58,60
5) (-11,-2)
6) (-3.5,12)
7) (14,-3)
8) (9,-4.5)
9) (-6,-10)
10) Price of donuts: $.90, Price of muffins=$1.75
11) 196 SFP, 4 HC
12) 445.2
13) 35%
14) 840
15) x = 7.5
16) x = {-3,4}
17) x = {-46,0}