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WorksheetsBenchmark 1-4 review
Total questions: 184
Worksheet time: 14hrs 23mins
Name
Class
Date
1.
Classify:
2x⁴+14x³−2x²
2x⁴+14x³−2x²
a)
Monomial
b)
Binomial
c)
Trinomial
d)
Polynomial
2.
Classify:
2n³
2n³
a)
Monomial
b)
Binomial
c)
Trinomial
d)
Polynomial
3.
Classify:
x³ + 3x
x³ + 3x
a)
Monomial
b)
Binomial
c)
Trinomial
d)
Polynomial
4.
What is the value of the coefficient?
−3x+6
−3x+6
a)
3
b)
6
c)
−3
d)
x
5.
What is the name for this polynomial? 3z
a)
Constant Monomial
b)
Linear Binomial
c)
Linear Monomial
d)
Bionic Monomial
6.
What is the name for this polynomial? 2x2 + 3x - 1
a)
Quadratic Trinomial
b)
Linear Binomial
c)
Quartic Trinomial
d)
Quintic Trinomial
7.
What is the name of this polynomial? 4x3 - 2x2 + 7x - 3
a)
Septic Polynomial with Four Terms
b)
Quadratic Polynomial with Four Terms
c)
Quintic Polynomial with Four Terms
d)
Cubic Polynomial with Four Terms
8.
What is the name of this polynomial? 3
a)
Constant Monomial
b)
Linear Monomial
c)
Quartic Monomial
d)
Cubic Monomial
9.
If a polynomial is considered linear, its degree is...
a)
2
b)
3
c)
1
d)
98
10.
If a polynomial is a constant, its degree is...
a)
1
b)
0
c)
-1
d)
98
11.
What is the degree of this polynomial: 5x6 + 3x2 - 8x10
a)
2
b)
10
c)
6
d)
8
12.
How many terms are in a binomial?
a)
0
b)
1
c)
2
d)
4
13.
Find the sum.
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
a)
2x2 + 3x +1
b)
-2x2 - 11x -4
c)
2x2 + 5x -7
d)
-2x2 + 11x -4
14.
Simplify:
a)
9n3 + 4n
b)
7n3 + 6
c)
-3n3 + 2
d)
7n6 + 6
15.
(4x3-5x2+3x)+(-2x3-x2+6x)
a)
2x3-6x2-9x
b)
2x3+6x2+9x
c)
-2x3-6x2+9x
d)
2x3-6x2+9x
16.
(5x4 - 4x3 - 2x2 + x - 19) - (x4 + 5x3 + 8x2 + x + 5)
a)
4x4 - 9x3 - 10x2 - 24
b)
4x4 - 9x3 - 10x2 - 2x - 24
c)
4x4 - 9x3 - 10x2 + 2x - 24
d)
-4x4 - 9x3 - 10x2 - 24
17.
Is b + 8 a monomial?
a)
yes
b)
no
18.
What is the degree of the polynomial? 5x5 - 6x6 + 2
a)
1
b)
5
c)
6
d)
11
19.
Which of the following are examples of like terms?
a)
2 and 2x
b)
y3 and x3
c)
y and x
d)
-3x and 3x
20.
Add the polynomials.
(2x + 5y) + (3x - 2y)
(2x + 5y) + (3x - 2y)
a)
3x + 5y
b)
5x + 3y
c)
5x + 7y
d)
7xy + 1xy
21.
Add the polynomials.
(3x3 + 3x2 – 4x + 5) + (x3 – 2x2 + x – 4)
(3x3 + 3x2 – 4x + 5) + (x3 – 2x2 + x – 4)
a)
4x3 + 1x2 – 3x + 1
b)
2x3 + 1x2 - 5x + 9
c)
6x3 + 1x - 1x2 - 3
d)
3x5 +1x - 1x5 - 3x
22.
What is the correct name of the following:
3x + 5y2 - 3
3x + 5y2 - 3
a)
monomial
b)
binomial
c)
trinomial
d)
polynomial
23.
Simplify the expression.
(4a3 - 8a - 4a2) + (7a3 - 7 - 6a)
(4a3 - 8a - 4a2) + (7a3 - 7 - 6a)
a)
11a3 - 4a2 - 14a - 7
b)
5a3 - 4a2 - 14a - 7
c)
5a3 - 4a2 - 20a - 7
d)
5a3 - 9a2 - 20a - 7
24.
What is the standard form of the polynomial,
9x2 + 5x + 27 + 2x3
a)
27 + 5x + 9x2 + 2x3
b)
9x2 + 5x + 2x3 + 27
c)
9x2 + 5x + 27 + 2x3
d)
2x3 + 9x2 + 5x + 27
25.
What is the standard form of the polynomial,
7x - 125 - 6x4 + 14x2
a)
125 + 7x - 14x2 +6x4
b)
6x4 -14x2 - 7x +125
c)
125 + 14x2 + 7x - 6x4
d)
-6x4+ 14x2 + 7x - 125
26.
Find the difference.
(3- 2x + 2x2) - (4x -5 +3x2)
(3- 2x + 2x2) - (4x -5 +3x2)
a)
x2 + 6x + 8
b)
2x2 + 5x - 7
c)
-x2 -6x + 8
d)
-2x2 + 11x - 4
27.
Simplify each expression.
(6b3 + 6 - b4) - (8b3 - 6b4 + 2)
(6b3 + 6 - b4) - (8b3 - 6b4 + 2)
a)
4b4 - 2b3 + 7
b)
5b4 - 2b3 + 4
c)
b4 - 2b3 + 7
d)
5b4 - 2b3 + 7
28.
Simplify:
5(3x+2)
a)
3x+10
b)
15x+10
c)
15x-10
d)
3x-10
29.
Simplify:
2x ( -2x -3)
2x ( -2x -3)
a)
-4x - 3
b)
x2 - 3
c)
-4x2 - 6x
d)
-4x - 6
30.
(x +2)(x + 3)
a)
x2 + 5x + 6
b)
x2 + x + 6
c)
x2 + 5x + 5
d)
x2 + 6x + 6
31.
(x + 5)(x + 4)
a)
x2 + x + 20
b)
x2 + 20x + 9
c)
x2 + 9x + 20
d)
x2 - 9x + 54
32.
(x + 7)(x + 9)
a)
x2 + 63x + 16
b)
x2 + 16x + 63
c)
x2 + 79
d)
x2 + 16x + 2
33.
(5x+2)(x2-3x+6)
a)
5x3 - 17x2 +24x +12
b)
5x3 + 17x2 - 24x +12
c)
5x3 - 13x2 + 24x +12
d)
5x3 +13x2 - 24x - 12
34.
(x-3)(x2+2x+7)
a)
x3-x2+x-21
b)
x3+5x+13x-21
c)
x3-3x2+7x-21
d)
x2+2x-3
35.
(3x − 6)(7x + 7)
a)
21x2 − 63x + 42
b)
21x2 − 21x − 42
c)
21x2 − 42
d)
21x2 + 63x + 42
36.
The answer of (x-9)2 will be a perfect squared ______
a)
Binomial
b)
Trinomial
c)
Monomial
d)
Polynomial
37.
Find the product:
(5s+2)2
(5s+2)2
a)
25s2+4
b)
25s2+10s+4
c)
25s2+20s+4
d)
5s2+20s+4
38.
Find the product:
(10z-3)2
(10z-3)2
a)
10z2-30z-9
b)
100z2-60z+9
c)
100z2-9
d)
10z2-60z+9
39.
Find the product:
(m+11)2
(m+11)2
a)
m2+22m+121
b)
m2+11m+121
c)
m2+11m +11
d)
m2+22m +11
40.
What is the least common multiple (LCM) of 5 and 20?
a)
4
b)
5
c)
20
d)
100
41.
What is the least common multiple (LCM) of 2 and 3?
a)
6
b)
8
c)
20
d)
10
42.
What is the least common multiple (LCM) of 4 and 10?
a)
4
b)
40
c)
15
d)
20
43.
What is the least common multiple (LCM) of 4 and 10?
a)
4
b)
40
c)
15
d)
20
44.
What is the least common multiple (LCM) of 2 and 24?
a)
24
b)
2
c)
12
d)
48
45.
What is the least common multiple (LCM) of 6 and 8?
a)
6
b)
8
c)
48
d)
24
46.
GCF of 4 and 6
a)
2
b)
3
c)
4
d)
6
47.
GCF of 12 and 18
a)
3
b)
4
c)
6
d)
2
48.
GCF of 10 and 12
a)
5
b)
2
c)
3
d)
6
49.
GCF 24 and 36
a)
8
b)
6
c)
12
d)
4
50.
GCF of 32 and 40
a)
2
b)
4
c)
6
d)
8
51.
Lisa is making activity baskets to donate to charity. She has 12 coloring books and 36 crayons. What is the greatest number of baskets she can make if each type of toy is equally distributed among the baskets?
a)
2
b)
12
c)
36
d)
6
52.
What are the factors of 25?
a)
1, 2, 3, 5, 10, 15, 25
b)
1, 5, 25
c)
1, 25
d)
1, 5
53.
At Kentucky Fried Chicken, the kitchen staff baked 96 chicken legs and 144 thighs. The staff had to prepare platters for an office lunch. If each platter will have the same number of legs and thighs, what is the greatest number of platters they can make?
a)
48
b)
2
c)
4
d)
16
54.
Jeremy has two pieces of wood: one is 90 inches and the other is 72 inches. He wants to cut both pieces into smaller pieces of the same length. What is the longest possible length he can cut and not have any lumber left over?
a)
9
b)
2
c)
18
d)
72
55.
Shannon is making identical balloon arrangements for a party. She has 32 maroon balloons, 24 white
balloons, and 16 orange balloons. She wants each arrangement to have the same number of each
color. What is the greatest number of arrangements that she can make if every balloon is used?
balloons, and 16 orange balloons. She wants each arrangement to have the same number of each
color. What is the greatest number of arrangements that she can make if every balloon is used?
a)
6
b)
2
c)
4
d)
8
56.
Is this question asking to find GCF or LCM?
a)
GCF
b)
LCM
57.
Peter has 18 oranges and 27 pears. He wants to make fruit baskets with the same number of each fruit in each basket. What is the greatest number of fruit baskets he can make?
a)
1
b)
2
c)
3
d)
4
58.
Peter has 18 oranges and 27 pears. He wants to make fruit baskets with the same number of each fruit in each basket. How many PEARS will be in the greatest number of fruit baskets?
a)
7
b)
8
c)
9
d)
10
59.
What is the greatest common factor (GCF) of 10b2 and 10?
a)
2
b)
5
c)
10
d)
10b
60.
What is the greatest common factor (GCF) of 48x2and 32x3?
a)
8x2
b)
16x2
c)
16x
d)
96x3
61.
What is the least common multiple (LCM) of 48x2and 32x3?
a)
8x2
b)
16x2
c)
16x
d)
96x3
62.
What is the greatest common factor of 28y2and 49y2?
a)
7y
b)
21y2
c)
196y2
d)
7y2
63.
What is the least common multiple of 28y2and 49y2?
a)
7y
b)
21y2
c)
196y2
d)
7y2
64.
What is the greatest common factor of 42xy2 and 28x3y?
a)
84x3y2
b)
14y
c)
14xy
d)
14xy2
65.
What is the least common multiple (LCM) of 42xy2 and 28x3y?
a)
84x3y2
b)
14y
c)
14xy
d)
14xy2
66.
What is the greatest common factor of 20a2b2 and 50b3?
a)
100a2b3
b)
10b3
c)
10ab2
d)
10b2
67.
What is the least common multiple of 20a2b2 and 50b3?
a)
100a2b3
b)
10b3
c)
10ab2
d)
10b2
68.
Find the LCM of 9u4v2w and 5u4vw3
a)
u4vw
b)
5u4vw
c)
45u4vw
d)
45u4v2w3
69.
Find the GCF of 9u4v2w and 5u4vw3
a)
u4vw
b)
5u4vw
c)
45u4vw
d)
45u4v2w3
70.
Emily enlarged the size of a painting to a width of 15 in. What is the new height if it was originally 3 in. wide and 4 in. tall?
a)
17 in.
b)
20 in.
c)
5 in.
d)
23 in.
71.
20 Fuji apples cost $12. How many Fuji apples can you buy for $3?
a)
8
b)
7
c)
5
d)
1
72.
The currency in Egypt is the Pound. The exchange rate is approximately $1 for every 6 Pounds. At this rate, how many dollars would you get if you exchanged 12 Pounds?
a)
$72
b)
$6
c)
$5
d)
$2
73.
Mike was planning a trip to Jordan. Before going, he did some research and learned that the exchange rate is 3 Dinars for every $4. How many Dinars would he get if he exchanged $12?
a)
9 Dinars
b)
14 Dinars
c)
0 Dinars
d)
Squirrel
74.
If you can buy four bunches of seedless black grapes for $10, then how many can you buy with $5?
a)
3
b)
1
c)
2
d)
13
75.
Ryan was planning a trip to Switzerland. Before going, he did some research and learned that the exchange rate is $3 to 4 Francs. How many Francs would he get if he exchanged $12?
a)
16 Francs
b)
9 Francs
c)
14 Francs
d)
Ms. Liz
76.
Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.
a)
3 hours
b)
4 hours
c)
1 hour
d)
2 hours
77.
Which situation below is representative of y-intercept?
a)
putting $300 a month into savings
b)
buying $30 worth of supplies for a lemonade stand
c)
Spending $3 per ride at the fair
d)
Paying $2 for parking every day
78.
Bob has $150 in his savings account and saves $40 per month. Which equation represents the amount Bob has in his account after x months?
a)
y = 150 + 40
b)
y = 40x + 150
c)
y = 150x + 40
79.
A holiday meal costs $12.50 a person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs, including delivery, for x people?
a)
y = 30 + 12.5x
b)
y = 12.5 + 30
c)
y = 12.5 + 30x
80.
Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50. Which equation represents the total charges for x hours?
a)
y = 8.5 + 25.5
b)
y = 25.5 + 8.5x
c)
y = 8.5 + 25.5x
81.
Jerry has $20 and makes $7 per hour. Which equation represents the total amount of money Jerry has after working x hours?
a)
y = 7x + 20
b)
y = 7 + 20x
c)
y = 20 + 7
82.
Sonya has $40 in her lunch account and pays $2 each day to eat lunch. Which equation can be used to find the amount of money Sonya has left on her account after x days?
a)
y = 40 + 2x
b)
y = 40 - 2x
c)
y = 2 + 40x
d)
y = 2 - 40x
83.
Sandra has a $20 itunes gift card and spends $3 each month. Which equation can be used to find how much money Sandra has on her giftcard after x months?
a)
y = 3x + 20
b)
y = 3 + 20x
c)
y = -3x + 20
d)
y = -20x + 3
84.
Sandra has a $20 itunes gift card and spends $3 each month. Which equation can be used to find how much money Sandra has on her giftcard after x months?
a)
y = 3x + 20
b)
y = 3 + 20x
c)
y = -3x + 20
d)
y = -20x + 3
85.
Amber's savings account had a balance of $350 rolled over from the previous year. She set it up for $50 to be drafted out of her checking account and into her savings account every month. What information in this problem represents the y-intercept?
a)
350
b)
50
c)
-50
d)
-350
86.
For lunch, Amanda had a hamburger and some potato chips. The hamburger totaled 325 calories and each chip had 12 calories. Write a liner equation to represent the situation.
a)
y = 12 + 325
b)
y = 12x + 325
c)
y = 325 - 12x
d)
y = 325x + 12
87.
The sum of three consecutive integers is 48. What is the smallest number in the group?
a)
16
b)
15
c)
17
d)
24
88.
The sum of 4 consecutive integers is 180. What is the smallest number in the group?
a)
61
b)
62
c)
176
d)
44
89.
The sum of three consecutive even integers is 618. What is the largest number in the group?
a)
207
b)
209
c)
206
d)
208
90.
The sum of three consecutive odd numbers is 597. What is the smallest number in the group?
a)
198
b)
199
c)
197
d)
196
91.
Which of the following setups would be used to find four consecutive integers?
a)
n
n+2
n+4
n+6
n+2
n+4
n+6
b)
n
2n
4n
6n
2n
4n
6n
c)
n+1
n+2
n+3
n+4
n+2
n+3
n+4
d)
n
n+1
n+2
n+3
n+1
n+2
n+3
92.
Find four consecutive odd integers whose sum is 128.
a)
32, 34, 37, 38
b)
27, 29, 31, 33
c)
29, 31, 33, 35
d)
25, 27, 29, 31
93.
Which expressions can be used to represent the sum of 3 consecutive odd integers?
a)
n+1, n+2, n+3
b)
n, n+1, n+3
c)
n, n+1, n+2
d)
n, n+2, n+4
94.
Find three consecutive even integers whose sum is 84.
a)
26, 28, 30
b)
28, 30, 32
c)
27, 28, 29
d)
24, 26, 28
95.
The sum of 4 consecutive even numbers is 364. What is the sum of the middle two numbers?
a)
91
b)
92
c)
183
d)
182
96.
The sum of three consecutive odd integers 141. What are the three integers?
a)
47, 48 , 49
b)
45, 47, 49
c)
46, 48, 50
d)
41, 49, 51
97.
Solve for the variable. 3x=-27
a)
x=9
b)
x=-30
c)
x=-9
d)
x=-24
98.
Solve: 3(x-4) = -3
a)
3
b)
-3
c)
5
d)
-5
99.
Solve for d:
-7(6 + d) = 49
-7(6 + d) = 49
a)
13
b)
1
c)
-1
d)
-13
100.
Solve:
2(2t - 3) = 6(t + 2)
2(2t - 3) = 6(t + 2)
a)
t=9
b)
t=4
c)
t=-9
d)
t=-3
101.
Solve for W:
a)
9
b)
11
c)
15
d)
10
102.
5x - 14 = 8x + 4
a)
x = 6
b)
x = -6
c)
x = -18/13
d)
x = 10/3
103.
7x - 4 = 3 + 8x
a)
x = 7
b)
x = -7
c)
x = 2/7
d)
x = 11
104.
f - 4 = 6f + 26
a)
f = -5
b)
f = 5
c)
f = 6
d)
f = -6
105.
10x + 9 = 4x - 9
a)
0
b)
3
c)
-3
d)
-18
106.
-5k + 10 = -2k - 14
a)
8
b)
-8
c)
2
d)
-2
107.
x - 2x + 3 = 3 - x
a)
all real numbers
b)
no solution
c)
x = 0
108.
6(5g+ 2)=30g
a)
g=2
b)
g=12
c)
all real numbers
d)
no solution
109.
5(2x -1) = -5+ 10x
a)
x = 5
b)
x = 0
c)
all real numbers
d)
no solution
110.
a)
2
b)
4
c)
6
d)
8
111.
a)
9
b)
16
c)
12
d)
14
112.
Solve the proportion:
a)
4
b)
8
c)
14
d)
10
113.
Solve for b
a)
8
b)
17/12
c)
4/3
d)
1/8
114.
Solve for k.
a)
-2.33
b)
14
c)
-14
d)
-5.25
115.
Solve for m.
a)
-2
b)
2
c)
-9
d)
9
116.
Solve.
(2x - 3) / 4 = 9
(2x - 3) / 4 = 9
a)
x = 24
b)
x = 12
c)
x = 17.5
d)
x = 19.5
117.
Solve for c
a)
-7/2
b)
-2
c)
-1
d)
-13/2
118.
|v + 8| − 5 = 2
a)
{-1,-15}
b)
{-1,-5}
c)
{-15,15}
d)
No Solution
119.
-|−2r − 1| = 11
a)
{-6,5}
b)
{5,-6}
c)
-6
d)
No Solution
120.
−2|−2r − 4| = -12
a)
{3,1}
b)
{-3,-1}
c)
{-3}
d)
No Solution
121.
|v + 8| − 5 = 2
a)
{-15,-1}
b)
{-1,-5}
c)
{-15,15}
d)
No Solution
122.
Solve |2x –3| + 5 =10.
a)
-1, 1
b)
-1, 4
c)
-1, -4
d)
1, 4
123.
Solve |x – 12| - 3 = 11.
a)
-2, -26
b)
-2, 26
c)
3, 25
d)
4, -7
124.
What is the reason that absolute value is always written as a positive?
a)
Absolute value is talking about numbers so it must be positive.
b)
Absolute value does not always have to be positive.
c)
Absolute value is like a clock it has only positive numbers.
d)
Absolute value is talking about distance, distance is always measured by positive numbers.
125.
What's a way to define absolute value?
a)
The value of a number
b)
The opposite of a number
c)
The distance of a number from zero
d)
The multiplicative inverse of a number
126.
Solve the absolute value equation.
a)
{7}
b)
{-7, 7}
c)
{0, 7}
d)
No Solution
127.
True or False: Is x = 4 a solution to |x + 5| = -9
a)
True
b)
False
128.
2 + n ≤ 4½
a)
n ≥ 2½
b)
n ≤ 2½
c)
n ≤ 6½
d)
n ≥ 6½
129.
s - 10 ≤ 1
a)
s ≤ 11
b)
s ≤ 9
c)
s ≥ 11
d)
s ≥ 9
130.
What inequality does the number line graph represent?
a)
x >= 3
b)
x > 3
c)
x < -3
d)
x <= 3
131.
What inequality does the number line graph represent?
a)
2x +1 < -3
b)
x + 2 < 4
c)
-x + 3 > 1
d)
x + 4 >= 2
132.
Would your graph go to the left or right when you graph x ≥ 4?
a)
Left
b)
Right
133.
Translate the following phrase: You and your friends ate more than 8 slices of pizza at the party.
a)
x > 8
b)
x < 8
c)
x ≤ 8
d)
x ≥ 8
134.
Translate the following phrase: Tom can spend no more than 20 dollars on his mom's birthday present.
a)
t > 20
b)
t < 20
c)
t ≤ 20
d)
t ≥ 20
135.
Pick the correct letter for:
6 > x
6 > x
a)
A
b)
B
c)
C
d)
D
136.
-7 + 10z > -27
a)
z < -2
b)
z > -34
c)
2 > z
d)
z > -2
137.
Solve:
6x+10>5x-12
6x+10>5x-12
a)
x>2
b)
x<2
c)
x<-22
d)
x>-22
138.
Which inequality symbol has a graph with an open (empty) circle?
a)
<
b)
≤
139.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥
140.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥
b)
<, >
141.
Solve:
a)
A
b)
B
c)
C
d)
D
142.
Write an inequality for Graph 3.
a)
x ≤ -2 AND x > 5
b)
x ≤ -2 OR x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x < 5
143.
0 < x + 7 < 9
a)
-7<x and x<2
b)
-7<x or x<2
c)
-7>x and x>2
d)
-7>x or x>2
144.
2<x+2<5
a)
0<x<3
b)
4<x<7
c)
4<x<3
d)
0<x<7
145.
Write an inequality for Graph 4.
a)
-2 < x < 5
b)
x < -2 or x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x ≤ 5
146.
Solve:
a)
A
b)
B
c)
C
d)
D
147.
Solve and graph:
a)
A
b)
B
c)
C
d)
D
148.
Solve: -3 ≤ 2x - 1 ≤ 5
a)
-1 ≤ x ≤ 3
b)
-1 < x < 3
c)
1 < x < 3
d)
1 ≤ x ≤ 3
149.
Solve:
-4x + 1 ≤ 21 and 5x + 2 < 22
-4x + 1 ≤ 21 and 5x + 2 < 22
a)
x > -5 or x ≤ 4
b)
x ≥ -5 or x < 4
c)
x > -5 and x ≤ 4
d)
x ≥ -5 and x < 4
150.
Solve:
3x + 2 < -4 or 4x + 4 > 24
3x + 2 < -4 or 4x + 4 > 24
a)
x < -2 or x > 5
b)
x < 2 or x > 5
c)
x < -2 and x > 5
d)
x < 2 and x > 5
151.
Solve:
3x + 2 < -7 or -4x + 5 < 1
3x + 2 < -7 or -4x + 5 < 1
a)
x < -3 and x < 1
b)
x < -3 and x > 1
c)
x < -3 or x < 1
d)
x < -3 or x > 1
152.
a)
A
b)
B
c)
C
d)
D
153.
When graphing "AND" inequalites, shading looks like___
a)
Shading that always connects the 2 dots.
b)
Shading that always points away from each dot
c)
2 shaded arrows pointing in same direction(both left)
d)
2 shaded arrows pointing in same direction (both right)
154.
When graphing the solutions to "OR" inequalities, The shading looks like___
a)
Shading that connects the 2 dots
b)
Shading that points away and never crosses.
c)
Shading that points toward each other and ALWAYS crosses
d)
Shading that points opposite, but sometimes crosses.
155.
Solve:
|x + 3| > 8
|x + 3| > 8
a)
x > 5 or x < -11
b)
x > 5
c)
all real numbers
d)
no solution
156.
Solve:
3 | 2x + 7| - 7 < -4
3 | 2x + 7| - 7 < -4
a)
x < -3 and x > -5/3
b)
x < -3 and x > -4
c)
all real numbers
d)
no solution
157.
Solve:
|x + 4| - 8 > 2
|x + 4| - 8 > 2
a)
x > 6 and x < 10
b)
x > 6 or x < -14
c)
all real numbers
d)
no solution
158.
Solve.
-5|x - 4| > -20
-5|x - 4| > -20
a)
x < 8 and x > 0
b)
x > 8 or x < 0
c)
all real numbers
d)
no solution
159.
a)
no solution
b)
-6 ≤ r ≥ 8
c)
6 > r > -8
d)
-6 < r < 8
160.
a)
v>5 or v<-5
b)
v≥5 or v≤-5
c)
v>-5 or v<5
d)
all real numbers
161.
a)
n > 1 or n < -7
b)
n > -1 or n < -7
c)
-7 < n < -1
d)
no solution
162.
2x + 4
a)
2(x + 2)
b)
2(x + 4)
c)
4(x + 4)
d)
4(x + 2)
163.
5x2 + 20
a)
5(x + 4)
b)
5x(x + 4)
c)
5(x2 + 4)
d)
5x2(x + 4)
164.
Factor:
56a3-8a
56a3-8a
a)
8a2(56a3-8a)
b)
8a(7a2-1)
c)
8a(7a3-a)
d)
8a2(35a2-a)
165.
Factor:
2n2-8n3
2n2-8n3
a)
2n2(n-4n2)
b)
2n2(1-4n2)
c)
2n3(10-8n2)
d)
3n(1-4n)
166.
Factor:
80x5-70x2-60x7
80x5-70x2-60x7
a)
2x2(80x3-70-60x6)
b)
10x2(80x4-70x-60x6)
c)
10x2(8x3-7-6x6)
d)
3x2(80x3-40-60x5)
167.
Factor
10x2 + 15x-5
10x2 + 15x-5
a)
25(10x3+45x-15)
b)
5(2x3 + 3x2-x)
c)
x(10x3+15x-5)
d)
5(2x2+3x-1)
168.
Factor
4b5+4b3+16b2
4b5+4b3+16b2
a)
4b3(b4+b2+4b)
b)
4b3(b4+4b+5)
c)
4(b5+b3+4b2)
d)
4b2(b3+b+4)
169.
x2 - 9
a)
(x + 3)2
b)
(x + 3) (x - 3)
c)
(x - 3)2
d)
x + 3(x - 3)
170.
x2 - 16
a)
(x + 4) (x - 4)
b)
(x + 8) (x - 2)
c)
(x + 4)2
d)
x + 4(x - 4)
171.
4x2 - 25
a)
(2x + 5) (2x - 5)
b)
(2x - 5)2
c)
(2x + 5)2
d)
2x + 5(2x - 5)
172.
25x2 - 36y2
a)
5x + 6y(5x - 6y)
b)
(5x + 6y) (5x - 6y)
c)
(5x + 6y)2
d)
(5x - 6y)2
173.
64x2 - 81y2
a)
(8x + 7y) (8x - 7y)
b)
(8x + 9y) (8x - 9y)
c)
(6x + 7y) (6x - 7y)
d)
(6x + 9y) (6x - 9y)
174.
49x2 - 144y2
a)
(7x + 16y) (7x - 16y)
b)
(7x + 12y)2
c)
(12x + 7y) (12x - 7y)
d)
(7x + 12y) (7x - 12y)
175.
Factor completely.
y2 - 196
a)
( y - 14 ) ( y - 14 )
b)
( y + 14 ) ( y - 14 )
c)
( y + 13 ) ( y - 13 )
d)
( y - 13 ) 2
176.
Factor
x2 + 12x + 36
x2 + 12x + 36
a)
(x + 6)(x +6)
b)
(x + 9)(x - 4)
c)
(x - 12)(x + 3)
d)
(x - 6)(x - 6)
177.
Factor: x2 + 2x – 3
a)
(x - 2)(x + 1)
b)
(x + 1)(x - 3)
c)
(x + 2)(x - 1)
d)
(x - 1)(x + 3)
178.
Factor: x2 – 5x – 24
a)
(x - 5)(x + 19)
b)
(x - 8)(x + 3)
c)
(x - 3)(x + 8)
d)
(x - 19)(x + 5)
179.
Factor
x2 + 9x - 36
x2 + 9x - 36
a)
(x + 12)(x - 3)
b)
(x + 9)(x - 4)
c)
(x - 12)(x + 3)
d)
(x - 9)(x - 4)
180.
Factor
k2 - 2k - 24
k2 - 2k - 24
a)
(k+4)(k+6)
b)
(k+4)(k-6)
c)
(k+6)(k-1)
d)
(k-4)(k+6)
181.
Factor
x2 +17x - 60
x2 +17x - 60
a)
(x - 20)(x + 3)
b)
(x + 12)(x - 5)
c)
(x - 12)(x + 5)
d)
(x + 20)(x - 3)
182.
Factor:
x2 + 6x + 20
x2 + 6x + 20
a)
(x + 4)(x + 5)
b)
(x + 20)(x + 1)
c)
(x + 10)(x + 2)
d)
PRIME
183.
Factor completely.
x3 - 6x2 - 16x
( Note: Factor out GCF = x first.)
a)
x ( x2 - 6x - 16 )
b)
x ( x - 8 ) ( x + 2 )
c)
x ( x - 8 ) ( x - 2 )
d)
x ( x + 8 ) ( x - 2 )
184.
Factor completely.
2x2 + 10x + 8
(Note: Factor out GCF = 2 first.)
a)
2 ( x2 + 5x + 4 )
b)
2 ( x - 4 ) ( x - 1 )
c)
2 ( x + 2 ) ( x + 2 )
d)
2 ( x + 4 ) ( x + 1 )
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