Name
Alg1 Q4 Test 1 Review
Test Friday, April 30, 2010
Part I: Case II Factoring
1) 8x2 – 5x – 3
2) 8x2 + 36x + 28
3) 60x4 -9x3 – 6x2
4) 16x2 – 36x + 14
5) 16x2 + 176x + 448
6) 16x2 + 2x - 5
Answer Key:
1) (8x+3)((x-1)
4) 2(4x-7)(2x-1)
2) 4(2x+7)(x+1)
5) 16(x + 7)(x+4)
3) 3x2(5x-2)(4x+1)
6) (8x+5)(2x-1)
Part II: Solving Quadratics
1) x2 + 11x = 42
2) x2 + 81 = -18x
3) 120 – 2x = x2
4) 7x3 + 14x2 = 168x
5) 2x3 + 36x2 + 144x = 0
6) 2x2 + 5x – 24 = 4x2 - 11x – 24
7) 6x2 – 11x + 31 = 7x2 – 11x – 33
8) 10x3 = 20x2 + 240x
Answer Key:
1) x = {-14,3}
5) x = {-12,-6,0}
3) x = {-12,10}
7) x = {-8,8}
2) x = {-9}
6) x = {0,8}
4) x = {3,8}
8) x = {-4,0,6}
Part III: Proportions and Percents:
1) x
16
=
39 _
156
2) 2x – 1 _ =
3x – 3
4) 141
x
=
3 _
11
5)
7)
=
x _
550
8)
13
220
7 _ =
4x + 5
10) 174.15 is what percent of 645?
6 _ =
13
3) x + 1 _ =
x–7
2x – 3 _
x–6
11 _
8x + 7
6) 2x - 5 _ =
x+2
x + 10_
x–4
6x _
12x + 2
9) x - 2 _ =
x+4
2x – 4 _
x+5
3 _
4
11) What is 45% of 275?
12) 2,184 is 78% of what number?
13) On a map of the US, ¾ of an inch = 183 miles. How many inches represent 976 miles?
14) 350 people were polled on who they would vote for, Hillary or Obama. 64% said Obama. How many
people voted for Hillary?
15) There are 16 ounces in 1 pound. How many ounces are there in 22.5 pounds?
Name
Test Friday, April 30, 2010
Alg1 Q4 Test 1 Review
16) In the 700 student freshman class, 567 passed math. What percent of the class failed
math?
17) On Chelsea’s home planet a 136 pound person weighs 17 pounds. What would the earth weight be of a
person who weighs 24 pounds on Chelsea’s home planet?
Answer Key:
1) 4 2) 5
3) x = {3,9}
8) 2 9) x = {-3,2} 10) 27%
13) 4 inches 14) 126 people
4) 517
5) .5
11) 123.75
12) 2,800
15) 360 ounces1
6) x = {0,25} 7) 32.5
6) 19% failed 17) 192 pounds
Part IV: Consecutive Ineteger Problems
1) Find 5 consecutive integers with the sum of -265.
2) Find 5 even consecutive integers such that the sum of the 1st and 4th is 102.
3) Find 5 consecutive odd integers such that the sum of the 4th and the 5th is 303 more than 5 times the 3rd.
4) Find 5 consecutive integers with the sum of 495.
5) Find 5 consecutive even integers such that the sum of the 3rd and 5th is 228.
6) Find 6 consecutive odd integers such that the sum of the 2nd and the 6th is -162.
7) Find 5 consecutive integers such that the sum of the 1st and 3rd is 45 less than triple the 5th.
8) Find 4 consecutive negative odd integers such that the product of the 1st and 4th is 135.
9) Find 6 consecutive natural numbers such that the product of the 2nd and 5th is 378.
Answer Key:
1) -55,-54,-53,-52,-51
4) 97,98,99,100,101
7) 35,36,37,38,39
2) 48,50,52,54,56
5) 108,110,112,114,116
8) -15,-13,-11,-9
3) -103,-101,-99,-97,-95
6) -87,-85,-83,-81,-79,-77
9) 17,18,19,20,21,22