Mathematics
Algebra
Two numbers differ by 7 and their sum is 21. What is the smaller number?
A. 6
B. 8
C. 9
D. 7
Correct Answer: D
x+(x+7)=21; x=7.
Mathematics
Algebra
Two numbers differ by 7 and their sum is 19. What is the smaller number?
A. 8
B. 6
C. 7
D. 5
Correct Answer: B
x+(x+7)=19; x=6.
Mathematics
Algebra
Two numbers differ by 7 and their sum is 17. What is the smaller number?
A. 4
B. 7
C. 6
D. 5
Correct Answer: D
x+(x+7)=17; x=5.
Mathematics
Algebra
y varies inversely as x. If y=25 when x=6, what is y when x=7?
A. 25
B. 157/7
C. 150/7
D. 75/4
Correct Answer: C
xy=150; y=150/7=150/7.
Mathematics
Algebra
y varies inversely as x. If y=28 when x=5, what is y when x=6?
A. 20
B. 73/3
C. 70/3
D. 28
Correct Answer: C
xy=140; y=140/6=70/3.
Mathematics
Algebra
y varies inversely as x. If y=65/2 when x=4, what is y when x=5?
A. 27
B. 65/3
C. 26
D. 65/2
Correct Answer: C
xy=130; y=130/5=26.
Mathematics
Algebra
y varies inversely as x. If y=40 when x=3, what is y when x=4?
A. 24
B. 40
C. 30
D. 31
Correct Answer: C
xy=120; y=120/4=30.
Mathematics
Algebra
y varies inversely as x. If y=55 when x=2, what is y when x=3?
A. 110/3
B. 113/3
C. 55
D. 55/2
Correct Answer: A
xy=110; y=110/3=110/3.
Mathematics
Algebra
y varies inversely as x. If y=50/3 when x=6, what is y when x=7?
A. 100/7
B. 107/7
C. 25/2
D. 50/3
Correct Answer: A
xy=100; y=100/7=100/7.
Mathematics
Algebra
y varies inversely as x. If y=18 when x=5, what is y when x=6?
A. 16
B. 18
C. 15
D. 90/7
Correct Answer: C
xy=90; y=90/6=15.
Mathematics
Algebra
y varies inversely as x. If y=20 when x=4, what is y when x=5?
A. 40/3
B. 20
C. 16
D. 17
Correct Answer: C
xy=80; y=80/5=16.
Mathematics
Algebra
y varies inversely as x. If y=70/3 when x=3, what is y when x=4?
A. 70/3
B. 35/2
C. 14
D. 37/2
Correct Answer: B
xy=70; y=70/4=35/2.
Mathematics
Algebra
y varies inversely as x. If y=30 when x=2, what is y when x=3?
A. 21
B. 15
C. 30
D. 20
Correct Answer: D
xy=60; y=60/3=20.
Mathematics
Algebra
y varies directly as x. If y=77 when x=7, what is y when x=9?
A. 99
B. 88
C. 100
D. 110
Correct Answer: A
k=11; y=11×9=99.
Mathematics
Algebra
y varies directly as x. If y=60 when x=6, what is y when x=8?
A. 70
B. 80
C. 90
D. 81
Correct Answer: B
k=10; y=10×8=80.
Mathematics
Algebra
y varies directly as x. If y=45 when x=5, what is y when x=7?
A. 63
B. 54
C. 64
D. 72
Correct Answer: A
k=9; y=9×7=63.
Mathematics
Algebra
y varies directly as x. If y=32 when x=4, what is y when x=6?
A. 49
B. 40
C. 48
D. 56
Correct Answer: C
k=8; y=8×6=48.
Mathematics
Algebra
y varies directly as x. If y=21 when x=3, what is y when x=5?
A. 42
B. 36
C. 35
D. 28
Correct Answer: C
k=7; y=7×5=35.
Mathematics
Algebra
y varies directly as x. If y=42 when x=7, what is y when x=9?
A. 55
B. 60
C. 54
D. 48
Correct Answer: C
k=6; y=6×9=54.
Mathematics
Algebra
y varies directly as x. If y=30 when x=6, what is y when x=8?
A. 41
B. 40
C. 35
D. 45
Correct Answer: B
k=5; y=5×8=40.