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CONTEMPORARY MATH
Contemporary Math Summer Packet (2015) …there are 150 questions – three questions for each of fifty different types of examples…the summer packet test will have fifty questions (one of each type)…do at least one of each type (the more you do the more prepared you will be)…if you have any questions follow the procedures listed on the cover page… Use the answer “NOTA” (which stands for None Of The Above) if the answer is not listed. 1.) Evaluate 6a + 5ab when a = 3 and b = 12 .
(A.) 78
(B.) 216
(C.) 188
(D.) 198
(E.) NOTA
(D.) 136
(E.) NOTA
1.) Evaluate 5x + 7xy when x = 5 and y = 11 .
(A.) 98
(B.) 400
(C.) 200
1.) Evaluate 8m + 7mn when m = 7 and n = 16 .
(A.) 68
(B.) 216
(C.) 392
(D.) 184
(E.) NOTA
2.) Simplify: 275 ÷ (2 + 9 ÷ 3) .
(A.) 55
(B.) 5
(C.) 75
(D.) 125
(E.) 155
(D.) 222
(E.) 111
(D.) 181
(E.) 345
2.) Simplify: 666 ÷ (3 + 9 ÷ 3) .
(A.) 39
(B.) 9
(C.) 74
2.) Simplify: 345 ÷ (4 + 9 ÷ 9) .
(A.) 45
(B.) 5
(C.) 69
3.) (3x 3 y 2 ) 2 =
(A.) 6x 5 y 4
(B.) 9 x 5 y 4
(C.) 9 x 6 y 4
(D.) 3 x 3 y 2
(E.) NOTA
(B.) 25 xy 5
(C.) 25 x 2 y 5
(D.) 10 xy 3
(E.) NOTA
3.) (5xy 3 ) 2 =
(A.) 10xy 5
3.) (4x 2 y 3 ) 2 =
(A.) 16x 4 y 6
(B.) 16 x 4 y 5
(C.) 4 x 4 y 6
(D.) 8 x 2 y 3
(E.) NOTA
2.
4.)
(2x – 3)(4x + 1) =
(A.) 8x 2 + 10x – 3
4.)
(B.) 3x 2 + 7x – 2
(C.) 4x 2 – 7x + 2
(D.) 8x 2 + 5x – 2
(E.) NOTA
1
27 x 3y 6
(C.)
− x3
27 y 6
(D.)
−9
x 3y 6
(E.) NOTA
(B.)
−1
4xy 4
(C.)
−4
x 2y 4
(D.)
−4
x2
(E.) NOTA
(B.)
−1
8x4y 2
1
16 x 4 y 2
(D.)
−8
x4y 2
(C.)
(E.) NOTA
(x – 1)(x + 1) =
x2
(B.) x 2 + 1
(C.) x 2 – 1
(D.) 2x
(E.) NOTA
(x – 2)(x + 2) =
(A.) x 2 – 4
6.)
(E.) NOTA
(4x 2 y) − 2 =
(A.)
6.)
(D.) 6x 2 + 7x – 3
(2xy 2 ) − 2 =
(A.) ‾ 8 x 4 y 2
6.)
(C.) x 2 – 5x – 3
(B.)
(A.) ‾ 4 x − 2 y − 4
5.)
(B.) 6x 2 – 7x + 3
(E.) NOTA
(3xy 2 ) − 3 =
(A.) ‾ 27 x 3 y 6
5.)
(D.) 24x 2 – 14x – 3
(4x – 1)(x + 2) =
(A.) 4 x 2 + 7x – 2
5.)
(C.) 8x 2 – 10x – 3
(3x – 1)(2x + 3) =
(A.) 32 x 2 – 9x + 3
4.)
(B.) 8x 2 – 10x + 3
(B.) x 2 + 4
(C.)
x 2 – 4x + 4
(D.) x 2
(E.) NOTA
(x – 3)(x + 3) =
(A.)
x2 + 9
(B.) x 2 – 6
(C.)
x 2 – 6x + 9
(D.) x 2 + 6x + 9
(E.) NOTA
Contemporary Math Summer Packet
7.)
3.
Name ___________________________
Find the equation that best represents the following word problem: In a certain Science course, the
number of girls is 76 less than twice the number of boys (b). The total number of students in that
Science class is 241. How many boys and girls are in that class?
(A.) b + 2b = 241 – 76
(B.) b + 2b – 76 = 241
(C.) b + 76 – 2b = 241
(D.) b + 2b = 241
(E.) NOTA
7.) Find the equation that best represents the following word problem: In a certain kindergarten
class, the number of girls is 2 less than three times the number of boys (b). The total number of
students in that kindergarten class is 13. How many boys and girls are in that class?
(A.) b + 3b – 2 = 13
7.)
(D.) g + 2g = 259
(E.) NOTA
(B.) (3x + 1)(2x – 5)
(C.) (6x – 1)(x + 5)
(D.) (2x – 1)(3x + 5)
(E.) NOTA
(B.) (3x + 1)(2x – 5)
(C.) (6x – 1)(x + 5)
(D.) (2x – 1)(3x + 5)
(E.) NOTA
(B.) (3x + 1)(2x – 5)
(C.) (6x – 1)(x + 5)
(D.) (2x – 1)(3x + 5)
(E.) NOTA
‾6+8
(B.) ‾ 8 + 6
(C.) 8 + 6
(D) 6 + ‾ 8 + 3
(E) 8 – ‾ 6
Which one of the following equals a negative number?
(A.)
9.)
(C.) g + 83 – 2g = 259
Which one of the following equals a negative number?
(A.)
9.)
(B.) g + 2g – 83 = 259
Factor: 6 x 2 – x – 5 .
(A.) (6x + 5)(x – 1)
9.)
(E.) NOTA
Factor: 6 x 2 + 7x – 5 .
(A.) (6x + 5)(x – 1)
8.)
(D.) b + 3b = 13
Factor: 6 x 2 – 29x – 5 .
(A.) (6x + 5)(x – 1)
8.)
(C.) b + 2 – 3b = 13
Find the equation that best represents the following word problem: In a certain freshman class, the
number of boys is 83 less than twice the number of girls (g). The total number of students in that
freshman class is 259. How many boys and girls are in that class?
(A.) g + 2g = 259 – 83
8.)
(B.) b + 3b = 13 – 2
‾ 8+ 5
(B.) ‾ 5 + 8
(C.) 8 + 5
(D) 5 + ‾ 8 + 4
(E) 8 – ‾ 5
Which one of the following equals a negative number?
(A.)
‾2+7
(B.) ‾ 7 + 8
(C.) 8 + 7
(D) 2 + ‾ 7 + 4
(E) 4 – ‾ 7
4.
10.)
Solve the system of equations: 2x + 3y = 6
4x – 6y = 0
(A.) x = 0 y = 2
10.)
(B.) x = ‾ 1 y = 3
(D.) x = - 5 y = ‾ 1
(E.) NOTA
4
(D.) x = 1 y = ‾ 2
(E.) NOTA
(C.) x = 2 y = ‾ 3
(B.) 7 (7x – 3y)
(C.) (7x + 3y)(7x – 3y)
(D.) 7 ( 7x2 – 9y2 )
(B.) 9 (9x – 5y)
(C.) (3x + 5y)(9x – 5y)
(D.) (9x + 5y)(9x – 5y)
(E.) NOTA
(D.) (8x – 7y)2
(E.) NOTA
(B.) 16(4x – 7y)
(C.) (32x + 7y)(2x – 7y)
Solve: 2x2 – x – 3 = 0
(B.) ‾ 3, 1
2
(C.) 3 , 1
2
(D.) 3
2
,-1
(E.) NOTA
Solve: 3x 2 – x – 2 = 0
(A.) 2 , 1
3
12.)
(E.) NOTA
(E.) NOTA
Factor: 64 x 2 – 49 y 2
(A.) 3, 2
12.)
(C.) x = 3 y = ‾ 2
4
(B.) x = ‾ 1 y = 3
(A.) (8x + 7y) ( 8x – 7y)
12.)
(D.) x = 3 y = 0
Factor: 81 x 2 – 25 y 2
(A.) (9x – 5y) 2
11.)
(C.) x = 3 y = ‾ 2
Factor: 49 x 2 – 9 y 2
(A.) (7x – 3y) 2
11.)
y=1
Solve the system of equations: 3x + 4y = 11
x – 2y = ‾ 3
(A.) x = - 1 y = - 2
11.)
2
Solve the system of equations: 2x + 3y = - 13
x – 4y = - 1
(A.) x = 1 y = -5
10.)
(B.) x = 3
(C.) −2 , 1
3
(B.) ‾ 3, −1
(D.) - 3, 3
(E.) NOTA
2
Solve: 2x 2 + 5x – 3 = 0
(A.) 3 , - 1
2
(B.) ‾ 2, 1
2
(C.) 3 , 1
2
(D.) −3
2
,1
(E.) NOTA
Contemporary Math Summer Packet
13.)
B.) 3
B.) 3
B.) 3
Solve: 1
3
(A.) ‾ 11
14.)
Solve: 1
3
3
13
E.) 2
y + 28 = ‾ 5
(C.) - 99
(D.) 96
(E.) NOTA
y + 25 = ‾ 8
(C.) 99
(D.) 96
(E.) NOTA
(C.) 99
(D.) 96
(E.) NOTA
y – 28 = 5
(B.) 11
(B.) 4
(C.) 0
(D.) ‾ 4
(E.) NOTA
Solve: 3x – 17 – 5x = 10 – (6x + 3)
(A.) 2
15.)
E.) ‾ 1
2
Solve: 3x + 15 – 5x = 10 – (6x + 3)
(A.) - 2
15.)
E.) ‾ 1
D.) 7
C.) ‾ 2
(B.) 11
Solve: 1
(A.) ‾ 11
15.)
D.) 1
C.) 2
(B.) 11
(A.) ‾ 11
14.)
D.) 1
If : 2x + y = 10
and x − 3y = ‾ 2 then y = A.) 4
14.)
C.) 2
If : 3x + y = 10
and x − 4y = ‾ 1 then x = A.) 1
13.)
Name ___________________________
If : 3x + y = 10
and x − 4y = ‾ 1 then y = A.) 4
13.)
5.
(B.) 6
(C.) 0
(D.) ‾ 6
(E.) NOTA
Solve: 3x + 7 – 5x = 10 – (6x + 3)
(A.) 2
(B.) 4
(C.) 0
(D.) ‾ 4
(E.) NOTA
6.
16.) You and two friends are eating a pizza with 12 pieces. Each person eats the same number of pieces.
Let x represent the number of pieces each person eats. Which of the following equations is an
algebraic model for the situation?
(B.) 1 x = 12
2
(A.) 3x = 12
(C.) 2x = 12
(D.) 1 x = 12
3
(E.) NOTA
16.) You and three friends are eating a pizza with 24 pieces. Each person eats the same number of pieces.
Let x represent the number of pieces each person eats. Which of the following equations is an
algebraic model for the situation?
(B.) 1 x = 24
3
(A.) 3x = 24
(C.) 4x = 24
(D.) 1 x = 24
4
(E.) NOTA
16.) You and three friends are eating a pizza with 12 pieces. Each person eats the same number of pieces.
Let x represent the number of pieces each person eats. Which of the following equations is an
algebraic model for the situation?
(B.) 1 x = 12
3
(A.) 3x = 12
(C.) 4x = 12
(D.) 1 x = 12
4
(E.) NOTA
17.) (4x + 3) 2 =
(A.) 16x 2 + 12x + 9
(B.) 16x 2 + 9
(C.) 16x 2 + 24x + 9
(D.) 16x + 9
(E.) 49x 2
(B.) 9x 2 – 16
(C.) 9x 2 – 24x + 16
(D.) 9x – 16
(E.) x 2
17.) (3x – 4) 2 =
(A.) 9x 2 – 12x + 16
17.) (2x + 3) 2 =
(A.) 4x 2 + 12x + 9
18.)
3
(D.) 4x + 9
(E.) 25x 2
(B.) ‾ 4, − 5 , 3, 0
3
(C.) − 5 , 4, 0
3
(D.) 4, ‾ 5, 0
(E.) NOTA
Solve: 3x (x + 4)(5x + 3) = 0
(A.) - 4, −3
18.)
(C.) 4x 2 + 24x + 9
Solve: 3 (x – 4)(3x + 5) = 0
(A.) 4, − 5
18.)
(B.) 4x 2 + 9
5
(B.) ‾ 4, − 5 , 3, 0
3
(C.) −3 , - 4, 0
5
(D.) - 4, ‾ 5, 0
(E.) NOTA
Solve: 2x (x – 5)(3x + 5) = 0
(A.) 2, − 5
3
(B.) ‾ 5, − 5 , - 2, 0
3
(C.) − 5 , 5, 0
3
(D.) 5, ‾ 5, 0
(E.) NOTA
Contemporary Math Summer Packet
7.
Name ___________________________
19.) One of the solutions of the equation: 3x 2 + 11x = 4 is
(B.) − 11
(A.) 0
(C.) 4
3
(D.) – 4
(E.) NOTA
19.) One of the solutions of the equation: 3x 2 – 11x = 4 is
(B.) − 11
(A.) 0
(D.) 1
(C.) 4
3
(E.) NOTA
3
19.) One of the solutions of the equation: 2x 2 + 5x = 3 is
(B.) −1
(A.) 0
6 2
20.) Simplify: (2cd ) (cd)
(A.)
4c5 d10
5
6 2
5
(A.) 9c d
10
(E.) NOTA
2
3
(B.) 4 c d
20.) Simplify: (3cd ) (cd)
(D.) 1
(C.) 3
3
13
5 15
(C.) 2 c d
5
24
(E.) 4 c d
12
d 24
(E.) 3 c d
(D.) 4 c d
5
15
5
15
3
5
(B.) 9 c d
13
5 15
(C.) 9 c d
(D.) 9 c
20.) Simplify: (3cd 6 ) 3 (cd) 4
(A.)
27c 7 d 10
(B.) 27 c 7 d 13
(C.) 9 c 7 d 22
(D.) 27 c 12 d 72
(E.) 27 c 7 d 22
21.) Simplify: (4c 4 + 1) – (7c 3 – 3) – (2c 4 + 5c 3 )
(A.) 6c 4 + 2c 3 – 4
(B.) 2c 4 + 2c 3 – 2
(C.) 6c 4 – 2c 3 – 2
(D.) 2c 4 – 2c 3 – 2
(E.) 4c + 4
(D.) 2c 4 – 2c 3 – 2
(E.) 4c + 4
(D.) 2c 4 – 2c 3 – 2
(E.) 4c + 4
21.) Simplify: (4c 4 + 1) + (7c 3 + 3) + (2c 4 + 5c 3 )
(A.) 6c 4 + 2c 3 – 4
(B.) 6c 4 + 12c 3 + 4
(C.) 6c 4 – 2c 3 – 2
21.) Simplify: (4c 4 + 1) – (7c 3 – 3) + (2c 4 + 5c 3 )
(A.) 6c 4 + 2c 3 – 4
(B.) 6c 4 – 2c 3 + 4
(C.) 6c 4 – 2c 3 – 2
8.
22.) The number ten is raised to a power between 0 and -1. The answer has to be between which two
numbers?
(A.) 0 and 1
(B.) 1 and -10
(C.) -10 and 10 but not 5
(D.) 0 and -10 but not -5
(E.) ‾ 1 and 0
22.) The number ten is raised to a power between -1 and 1. The answer has to be between which two
numbers?
(A.) -1 and 0
(B.) 0 and 10
(C.) 10 and 100 but not 5
(D.) 0 and 100 but not 50
(E.) ‾ 10 and 0
22.) The number ten is raised to a power between 0 and 1. The answer has to be between which two
numbers?
(A.) 0 and 1
(B.) 1 and 10
(C.) 10 and 100 but not 5
(D.) 0 and 100 but not 50
23.) Which of the following is the least?
(A.) .27
(B.) .25
(C.) 3
(D.) 3
8
(E.) 24%
11
23.) Which of the following is the least?
(A.) .27
(B.) 1
4
(C.) 1
8
(D.) 3
11
(E.) 24%
23.) Which of the following is the least?
(A.) .27
(B.) 1
3
(C.) 3
8
(D.) 3
11
(E.) 28%
24.) If x = -2 and y = ‾ 3, then ‾ xy 2 =
(A.) ‾ 36
(B.) ‾ 18
(C.) ‾ 12
(D.) 12
(E.) 18
(D.) 12
(E.) 18
(D.) 12
(E.) 18
24.) If x = 3 and y = ‾ 2, then ‾ xy 2 =
(A.) ‾ 36
(B.) ‾ 18
(C.) ‾ 12
24.) If x = - 2 and y = 3, then ‾ xy 2 =
(A.) ‾ 36
(B.) ‾ 18
(C.) ‾ 12
(E.) ‾ 10 and 0
Contemporary Math Summer Packet
9.
Name ___________________________
25.) Which is closest to the distance between A and B on the number line?
A
B
(A.) ‾ 9
(B.) ‾ 5
(C.) 13
(D.) 5
(E.) 12
25.) Which is closest to the distance between A and B on the number line?
A
B
(A.) ‾ 9
(B.) ‾ 5
(C.) 13
(D.) 5
(E.) 9
25.) Which is closest to the distance between A and B on the number line?
A
B
(A.) ‾ 9
(B.) ‾ 6
(C.) 13
(D.) 6
(E.) 12
26.) Define p ~ q by the equation p ~ q = p 2 q 3 – 3q. Then 3 ~ 2 =
(A.) 99
(B.) 72
(C.) 66
(D.) 117
(E.) 78
26.) Define p ~ q by the equation p ~ q = p 2 q 3 – 3q. Then 4 ~ 1 =
(A.) 15
(B.) 21
(C.) 3
(D.) 13
(E.) 19
26.) Define p ~ q by the equation p ~ q = p 2 q 3 – 3p. Then 2 ~ 3 =
(A.) 102
(B.) 27
(C.) 99
(D.) 114
(E.) 89
27.) If 7x + 4 = ‾ 19 + 5x, then 2x – 4 equals
(A.) 27
(B.) ‾ 23
(C.) - 27
(D.) 16
(E.) NOTA
27.) If 7x + 4 = ‾ 18 + 5x, then 2x – 14 equals
(A.) 23
(B.) ‾ 23
(C.) ‾ 3
(D.) 16
(E.) NOTA
27.) If 7x + 4 = ‾ 18 + 5x, then 2x – 10 equals
(A.) 32
(B.) ‾ 32
(C.) ‾ 27
(D.) 16
(E.) NOTA
10.
28.) Which of the following best describes the “7” on the left-hand side of the equation ?
7x + 9 = 40
(A.) Coefficient
(B.) Variable
(C.) Term
(D.) Expression
(E.) Solution
28.) Which of the following best describes the “7” on the left-hand side of the equation ?
5x + 7 = 40
(A.) Coefficient
(B.) Variable
(C.) Term
(D.) Expression
(E.) Solution
28.) Which of the following best describes the “x” on the left-hand side of the equation ?
7x + 9 = 40
(A.) Coefficient
29.) Solve for x:
(A.) 6
29.) Solve for x:
(A.) - 6
29.) Solve for x:
(A.) 6
(B.) Variable
(C.) Term
(D.) Expression
(E.) Solution
5x – 11 = 2 + 2x + 10(x – 3)
(B) 3
(C.) ‾ 3
(D.) ‾ 14
(E.) NOTA
5x – 10 = 2 – 2x + 10(x – 3)
(B) 3
(C.) ‾ 3
(D.) ‾ 14
(E.) NOTA
5x – 13 = 2 – 2x + 10(x – 3)
(B) 3
(C.) ‾ 3
(D.) ‾ 15
(E.) NOTA
30.) Solve for b : X = a + abc
(A.)
X
1+ ca
(B.) c(X – a)
(C.)
X −a
ac
(D.)
ac
X −a
(C.)
A−p
pt
(D.)
pt
A−p
(E.) NOTA
(C.)
A−p
pt
(D.)
pt
A−p
(E.) NOTA
(E.) NOTA
30.) Solve for r : A = -p + prt
(A.)
A
1 + tp
(B.) t(A – p)
30.) Solve for r : A = p + prt
(A.)
A
1 + tp
(B.) t(A – p)
Contemporary Math Summer Packet
11.
Name ___________________________
31.) One factor of 5x 2 + 3x – 2 is
(A.) 5x + 2
(B.) 5x – 2
(C.) x + 1
(D) 5x + 1
(E.) 5x – 1
(C.) x + 9
(D) x – 3
(C.) x + 2
(D) 7x + 10
31.) One factor of 5x 2 + 9x – 18 is
(A.) 5x + 6
(B.) 5x – 3
(E.) 5x – 6
31.) One factor of 7x 2 – 39x – 70 is
(A.) 3x – 5
(B.) x + 7
32.) Write the answer in proper scientific notation: (7 x 10
(A.) 21 x 10
-9
(B.) 21 x 10 20
-5
(C.) 2.1 x 10
(E.) x + 4
) x (3 x 10 4 )
0
(D.) 2.1 x 10 7
5
(E.) NOTA
-5
32.) Write the answer in proper scientific notation: ( 9.9 x 10 ) (2.7 x 10 )
(A.) 36.67 x 10 10
(B.) 3.667 x 10 10
(C.) 2.673 x 10 1
(D.) 2.673 x 10 -1
(E.) NOTA
32.) Write the answer in proper scientific notation: (3.8 x 10 -5) (3.9 x 10 0)
(A.) 14.83 x 10-1
(B.) 1.482 x 10-1
(C.) 14.82 x 10-4
(D.) 1.482 x 10-4
(E.) NOTA
33.) Factor: 3x2 + 8x + 5
(A.) (3x + 5)(x + 1)
(B.) x (3x + 8) + 5
(C.) (3x + 1)(x + 5)
(D.) 3(x + 5)(x + 1)
(E.) (3x − 1)(x + 5)
33.) Factor: 7a2 – 55a – 72
(A.) (2a + 1)(a + 9)
(B.) a (7a − 55) + 72
(C.) (a + 8)(7a + 9 )
(D.) (7a + 8)(a − 9)
(E.) (7a − 9)(a + 8)
33.) Factor: 2n2 – n – 10
(A.) (5n – 3 )(n + 10)
(B.) n (7n + 4)
(C.) (2n – 5 )(n + 2)
(D.) (2n + 5)(n − 2)
(E.) n ( 2 – 1 ) – 10
12.
34.)
Find a possible middle term to make this polynomial factorable:
x 2 + ______ + 15
(A.) 12x
34.)
(B.) 13x
(B.) 10x
(C.) 7x
(B.) 13x
(C.) 7x
(B.) y 4 z 3
(C.) z 3
(D.) xyz
(E.) y 6 z 3
(B.) y z 5
(C.) z5
(D.) x3yz7
(E.) y5 z
(B.) x3yz2
(C.) z5
(D.) xyz
(E.) x9 y 11z6
(B.) ‾ 3y² – 9y + 1
(C.) ‾ 3y² – 3y + 5
(D.) ‾ 3y² + y – 5
(E.) ‾ 3y² + 7y – 1
(C.) ‾ 3y² – 3y + 5
(D.) 13y² – 9y + 2
(E.) ‾ 13y² + 9y – 2
(8y² – 6y – 4) – (-5y² + 3y – 6) =
(A.) ‾ 3y² – 9y + 10
36.)
(E.) ‾ 10x
(y² + 2y + 3) – (4y² + 5y – 2) =
(A.) ‾ 3y² – 9y + 5
36.)
(D.) 3x
x 6 y6 z 4
=
x3 y5z2
(A.) x3
36.)
(E.) ‾ 10x
x 5 y3z 7
=
x 2 y2
(A.) x7 y5z9
35.)
(D.) 3x
x 2 y6 z3
=
x 2 y2
(A.) y4
35.)
(E.) ‾ 10x
Find a possible middle term to make this polynomial factorable:
x 2 + ______ + 25
(A.) 26x
35.)
(D.) 3x
Find a possible middle term to make this polynomial factorable:
x 2 + ______ + 24
(A.) 12x
34.)
(C.) 8x
(B.) 13y² – 9y + 10
(7y² – 4y + 4) – (3y² + y + 2) =
(A.) 4y² – 3y + 2
(B.) 10y² – 5y + 6
(C.) 10y² – 3y + 6
(D.) - 4y² + 5y – 6
(E.) 4y² – 5y + 2
Contemporary Math Summer Packet
13.
Name ___________________________
37.) The solutions of the equation 5x 2 − 36x − 32 = 0 are:
(A.) ‾ 4 and 8
(C.) 8 and −4
(B.) 5, 4 and ‾ 8
(D.) 4
5
and 8
5
(E.) ‾ 5 and 4
37.) The solutions of the equation 5x 2 + 29x + 20 = 0 are:
(A.) 4 and 5
(B.) 5, 4 and ‾ 1
(C.) ‾ 2 and – 25
(D.) −4
5
and -5
(E.) ‾ 10 and -5
37.) The solutions of the equation 7x 2 + 8x − 12 = 0 are:
(A.) −3
2
and 0
(C.) 6
(B.) 2, 42 and ‾ 1
38.) Find the x-coordinate of the system:
and 4
7
(D.) 6
7
and 5
(E.) 6
7
and -2
3x + 3y = 4
x + 3y = 1
(A.) 6
5
(B.) −1
(D.) 3
(C.) 1
6
38.) Find the x-coordinate of the system:
(E.) 5
2
3
-6x + 2y = 24
x + 2y = 10
(B.) 1
(A.) 2
(D.) −1
(C.) -6
2
38.) Find the y-coordinate of the system:
(E.) -2
6
3x + 3y = 4
x – 3y = 1
(A.) 1
12
(B.) 1
3
(D.) 5
(C.) 1
(E.) 5
4
3
39.) Find the slope of the line that passes through (15, -7) and (-18, 0).
(A.) 7
33
(B.) −7
33
(C.) 33
7
(D.) −33
7
(E.) 3
39.) Find the slope of the line that passes through (-10, -7) and (4, 14).
(A.) 2
3
(C.) 1
(B.) 2
(D.) 4
2
(E.) -2
3
39.) Find the slope of the line that passes through (-15, 8) and (-17, -5).
(A.) 2
13
(B.) −13
2
(C.) 13
2
(D.) −2
13
(E.) 2
14.
40.) Find the slope and y-intercept of the line whose equation is :
(A.) slope = 6, y-int = 4
(B.) slope = −4
3
(D.) slope = ‾ 2, y-int = 3
y-int = 6
3
(E.) slope = 4
2
40.) Find the slope and y-intercept of the line whose equation is :
(A.) slope = 8, y-int = 5
(B.) slope = −7
7
(D.) slope = 8, y-int = −7
(D.) slope = 5
(B.) slope = −6
5
6
y =
(E.) slope = −7
5
, y-int = ‾ 7
5
−4
x+6
3
(C.) slope = -6, y-int = ‾ 4
, y-int = ‾ 6
3
y-int = -8
5
40.) Find the slope and y-intercept of the line whose equation is :
(A.) slope = -7, y-int = 6
y =
5
, y-int = 8
y =
y-int = 7
−7
x+8
5
(C.) slope = -2, y-int = ‾ 8
5
x –7
6
(C.) slope = -1, y-int = 7
(E.) slope = −5
6
, y-int = 7
41.) Find the equation of the line containing the point (4, 4) and having slope: 0
(A.) y = 4x
(B.) y = 4
(C.) y = ‾ 2x
(D.) y = -3x
(E.) NOTA
41.) Find the equation of the line containing the point (−1, 1) and having slope = −1
𝟓
𝟏
𝟏
𝟏
𝟐
𝟐
𝟐
𝟐
(A.) 𝒚 = 𝒙 + (B.) 𝒚 = 𝒙 + 𝟏
𝟏
𝟐
𝟐
(C.) 𝒚 = 𝒙 − (D.) 𝒚 = !𝟏
𝟐
𝒙 + 41.) Find the equation of the line containing the point (−3, 1) and having slope = 4
(A.) y = 4x −5
𝟒
(B.) 𝒚 = 𝒙 + 𝟓
𝟑
(C.) y = ‾ 4x + 5
(D.) 𝒚 = !𝟒
𝟓
2
𝟏
𝟐
(E.) NOTA
3
𝒙 + 𝟓 (E.) NOTA
42.) Solve: -2x – 1 ≤ -1 + 2x
(A.) x ≤ ‾ 10
(B.) x ≥ 0
(C.) x ≤ -19
(D.) x ≥ ‾ 10
(E.) x ≤ 0
42.) Solve: 7x + 14 < 5 + 10x
(A.) x < ‾ 27
(B.) x > 15
(C.) x < 3
(D.) x > 3
(E.) x < -15
42.) Solve: x + 1 ≤ 9 – x
(A.) x ≤ ‾ 19
(B.) x ≥ 19
(C.) x ≤ 4
(D.) x ≥ ‾
(E.) x ≥ 4
Contemporary Math Summer Packet
15.
Name ___________________________
43.) Which of the following graphs represents the solution of :
43.) Which of the following graphs represents the solution of :
43.) Which of the following graphs represents the solution of :
44.) The solutions to
are:
(E.) NOTA
44.) The solutions to
are:
(E.) NOTA
44.) The solutions to
are:
(E.) NOTA
16.
45.)
E.) NOTA
45.)
E.) NOTA
45.)
E.) NOTA
46.) Which pair of lines represent graphs that are perpendicular?
(A.) y = ‾ 2x + 6 and y = ‾ 2x + 2
(C.) 2y = 4x −16 and y = 2x – 8
𝟏
(B.) y = 6x + 5 and y = x + 5
𝟔
(D.) y = 9 and x = 5
E) y = x and y = 3
46.) Which pair of lines represent graphs that are perpendicular?
𝟏
(A.) y = ‾ 3x + 7 and y = x + 2
𝟑
(C.) 3y = 6x −16 and y = 2x – 8
(B.) y = 5x + 5 and y = 10x + 5
(D.) y = 9 and y = 5
E) y = x and y = 3
46.) Which pair of lines represent graphs that are parallel?
(A.) y = ‾ 3x + 7 and y = 3x + 2
(C.) 2y = 4x −16 and y = 2x – 8
(B.) y = 5x + 5 and y = 10x + 5
(D.) y = 9 and x = 5
E) y = x and y = 3
Contemporary Math Summer Packet
17.
Name ___________________________
47.) The graph of x – 2y + 6 = 0 crosses the y-axis at :
(A.) ‾ 6
(B.) ‾ 2
(C.) 0
(D.) 3
(E.) -3
47.) The graph of 3x – 3y + 9 = 0 crosses the y-axis at :
(A.) ‾ 9
(B.) ‾ 3
(C.) 0
(D.) 3
(E.) 9
47.) The graph of x – 5y – 15 = 0 crosses the y-axis at :
(A.) ‾ 15
(B.) ‾ 3
(C.) 0
48.) Which equation is graphed to the below?
48.) Which equation is graphed to the below?
48.) Which equation is graphed to the below?
(D.) 3
(E.) 15
Contemporary Math Summer Packet
18.
Name ___________________________
49.) What is the first step to solving this problem: 3x – 10 = 4(x + 3)
A.) add 10 to both sides of the equation
B.) subtract 3 from both sides of the equation
C.) distribute the 4 on the right side
D.) divide by 3 on both sides of the equation
E.) NOTA
49.) What is the first step to solving this problem: 3(x – 3) = 2x + 6
A.) add 3 to both sides of the equation
B.) subtract 6 from both sides of the equation
C.) distribute the 3 on the left side
D.) divide by 3 on both sides of the equation
E.) NOTA
49.) What is the second step to solving this problem: 3x – 10 = 2(x + 3) + 8
A.) add 10 to both sides of the equation
B.) subtract 8 from both sides of the equation
C.) distribute the 2 on the right side
D.) combine like terms on the right side
E.) NOTA
50.) A boy is mowing a rectangular lawn 50 ft. long and 100 ft. wide. He
has cut all of it except for a rectangle that is 20 ft. long and 40 ft.
wide. What fractional part of the lawn remains uncut?
1
4
3
3
(A.)
(B.)
(C.)
(D.)
(E.) NOTA
4
25
125
4
50.) A boy is mowing a rectangular lawn 30 ft. long and 90 ft. wide. He
has cut all of it except for a rectangle that is 18 ft. long and 54 ft.
wide. What fractional part of the lawn remains uncut?
9
1
3
3
(A.)
(B.)
(C.)
(D.)
(E.) NOTA
25
3
125
4
50.) A boy is mowing a rectangular lawn 24 ft. long and 36 ft. wide. He
has cut all of it except for a rectangle that is 16 ft. long and 24 ft.
wide. What fractional part of the lawn remains uncut?
1
2
3
4
(A.)
(B.)
(C.)
(D.)
(E.) NOTA
4
5
9
125
ANSWER KEY:
1.) C, E, C
2.) A, E, C
3.) C, E, A
4.) C, D, A
5.) B, E, C
6.) C, A, E
7.) B, B, B
8.) E, D, A
9.) B, A, D
10.) B, D, E
11.) C, D, A
12.) C, C, A
13.) C, B, E
14.) C, E, C
15.) A, B, C
16.) A, C, C
17.) C, C, A
18.) A, C, C
19.) E, C, D
20.) E, C, E
21.) C, B, B
22.) E, B, B
23.) E, D, A
24.) E, C, E
25.) D, E, D
26.) C, D, A
27.) C, E, B
28.) A, A, B
29.) E, E, D
30.) C, C, E
31.) B, E, D
32.) C, C, D
33.) A, D, C
34.) C, B, A
35.) B, D, B
36.) C, D, E
37.) C, D, E
38.) D, E, D
39.) D, A,A
40.) B, E, D
41.) B, D, B
42.) B, D, C
43.) B, A, D
44.) D, D, C
45.) A, D, A
46.) D, A, C
47.) D, D, B
48.) A, A, A
49.) C, C, D
50.) B, A, D