Name
Alg1 Q4 Test 1 Review
4/14/11
B and F Periods: Test Monday, 4/18
C and G Periods Test Tuesday, 4/19
Part I: Multistep Factoring:
1) 12x2 – 48x – 540
2) 12x2 + 5x – 3
3) 12x2 – 20x + 8
4) 18x2 + 19x + 5
5) 18x2 -33x – 30
6) 18x2 + 36x - 432
Answer Key: 1) 12(x+5)(x-9)
4) (9x+5)(2x+1)
2) (4x+3)(3x-1)
5) 3(2x-5)(3x+2)
3) 4(x-1)(3x-2)
6) 18(x+6)(x-4)
Part II: Solve each Quadratic Equation by Factoring:
1) x2 – 18x = -56
2) x2 + 48 = -14x
3) 70 – 3x = x2
4) 4x2 + 576 = 96x
5) 3x3 - 30x2 – 72x = 0
6) 7x2 + 5x – 23 = 4x2 - 7x – 23
7) 6x2 – 15x + 31 = 7x2 – 15x – 18
8) 6x6 + 84x5 = -294x4
Answer key: 1) x ={4,14}
5) x = {-2,0,12}
2) x = {-8,-6}
6) x = {-4,0}
3) x = {-10,7}
7) x = {-7,7}
4) x = {12}
8) x = {-7,0}
Part III: Solve each Quadratic Word Problem:
1) The area of a rectangle is 187 cm2. The width is 6 cm less than the length. Find the dimensions of the
rectangle and find the perimeter.
2) The area of a rectangle is 36 cm2. The width is stated as x – 4 and the length is stated as x + 1. Find the
value of x and then use x to find the perimeter.
3) Find 5 positive consecutive integers such the product of the 3rd and the 5th is 1,023.
4) Find 5 negative consecutive odd integers such the product of the 3rd and the 4th is 399.
5) Three positive numbers are multiplied and the product is 84. The first number is 3. The 2nd # is x – 4 and the
3rd number is x + 8. Find the sum of the three numbers.
6) The product of two negative numbers is 138. The smaller number is 5 less than triple the larger. Find both
numbers. Find the difference of the two numbers.
Answer Key: 1) l=17 cm, w=11cm, P=56cm
4) -25,-21,-21,-19,-17
2) x = 8, P=26cm
5) x = 6, sum = 19
3)29,20,31,32,33
6) sm#=-23 , lg#=-6, diff=17
Name
Alg1 Q4 Test 1 Review
4/14/11
B and F Periods: Test Monday, 4/18
C and G Periods Test Tuesday, 4/19
IV: Percents
1) What number is 32% of 240?
2) 85.8 is what percent of 260?
3) 373.5 is 45% of what number?
4) What number is 60% of 212?
5) What number is 34% of 920?
6) 76.5 is what percent of 612?
7) 96 is 20% of what number?
8) What number is 62.5% of 80?
Answer Key: 1) 76.8
5) 312.8
2) 33%
6) 12.5%
Part V: Proportions
1) 6 _ = 57 _
x
133
2) 8x _ =
16
4) 22 _ = 32 _
3x + 4
5x + 2
5) x + 2 _ =
4
7) 4 _ =
x+4
x–8 _
x-3
Answer Key: 1) x = 14
3) x = 11
5) x = 8
7) x = {-2,10]
3) 830
7) 480
5 _
4
8) x + 11 _ =
20
5x - 2
14
x-1_
x-7
4) 127.2
8) 50
3) x - 1 _ =
10
6) x - 3 _ =
6
9)
10 _ =
x-2
2) x = 2.5
4) x = 6
6) x = {-9,15}
8) x = {-3,19}
9) x = {0,7}
3x - 8 _
25
24 _
x-3
x+5 _
x–1