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Equations and Expressions Gateway

 1. 

What is the value of mc001-1.jpg,  if c = –4 and d = 3 ?
A)
23
B)
47
C)
5
D)
87
 

 2. 

What is the value of mc002-1.jpg , if l = 6 and m = 28 ?
A)
mc002-5.jpg
B)
mc002-6.jpg
C)
22
D)
34
 

 3. 

A rectangle has a perimeter of 82 yards and length of 31 yards. What is the width of the rectangle?
A)
226 yd
B)
51 yd
C)
21 yd
D)
10 yd
 

 4. 

In kilometers, the approximate distance to the earth’s horizon from a point h meters above the surface can be determined by evaluating the expression mc004-1.jpg. About how far is the apparent horizon to a person looking out to sea from the top of a cliff 225 meters above sea level?
A)
15 km
B)
52 km
C)
111 km
D)
65 km
 

 5. 

Tatianna’s Bakery charges a fee of mc005-1.jpg to deliver d boxes of baked goods while Meg’s Bakery charges mc005-2.jpg.  Which expression describes how much more Meg’s Bakery charges than Tatianna’s Bakery?
A)
7d + 40
B)
–d – 10
C)
–d + 10
D)
d + 10
 

 6. 

What is the value of n(7 + p) if n = –9 and p = –4?
A)
8
B)
–67
C)
–27
D)
18
 

 7. 

Which expression correctly describes b divided by the sum of c and –8?
A)
mc007-1.jpg
B)
mc007-2.jpg
C)
mc007-3.jpg
D)
mc007-4.jpg
 

 8. 

What is the solution to mc008-1.jpg ?
A)
176
B)
32
C)
2.75
D)
–176
 

 9. 

What is the value of mc009-1.jpg if l = –2,  m = 7, and n = 5?
A)
49
B)
–17
C)
4
D)
–14
 

 10. 

The height of an equilateral triangle can be determined by evaluating the expression  mc010-1.jpg where n is the length of a side of the triangle.  To the nearest tenth of an inch, what is the height of an equilateral triangle with sides of 8 inches?
A)
5.7 inches
B)
9.2 inches
C)
6.9 inches
D)
13.9 inches
 

 11. 

What is the value of mc011-1.jpg if x = –9 and y = 5?
A)
–723
B)
443
C)
573
D)
–174
 

 12. 

What is the value of mc012-1.jpg  if x = 7 and y = 1?
A)
52
B)
248
C)
152
D)
142
 

 13. 

Which expression correctly represents $20 less than three times the cost, c?
A)
20 + 3c
B)
20 – 3 + c
C)
3c – 20
D)
mc013-1.jpg
 

 14. 

What is the solution to mc014-1.jpg ?
A)
–12
B)
0
C)
0
D)
12
 

 15. 

The volume of a rectangular solid is
560 cubic meters. The dimensions of the base are 20 meters by 7 meters.




What is the height of the solid?
mc015-1.jpg
A)
21 m
B)
4 m
C)
140 m
D)
420 m
 

 16. 

What is the solution to mc016-1.jpg?
A)
mc016-3.jpg
B)
mc016-4.jpg
C)
mc016-5.jpg
D)
mc016-6.jpg
 

 17. 

A repairman estimated the cost of replacing a part in Mr. Wallace computer would be at most $195. The estimate included $65 for the part, a $40 service charge, and $30 per hour for labor. What is the maximum number of hours the repairman estimated for the job?
A)
mc017-1.jpg
B)
mc017-2.jpg
C)
mc017-3.jpg
D)
mc017-4.jpg
 

 18. 

What is the value of mc018-1.jpg , when n = 8 ?
A)
0.77
B)
1.08
C)
0.93
D)
0.67
 

 19. 

If mc019-1.jpg, what is the value of t ?
A)
22
B)
160
C)
115
D)
88
 

 20. 

What is the value of 6x + –9y if x = mc020-1.jpg and ymc020-2.jpg?
A)
1.88
B)
–5
C)
11
D)
–11
 

 21. 

What value of f satisfies the equation shown?                    mc021-1.jpg
A)
–4.56
B)
–0.56
C)
–36.5
D)
1.06
 

 22. 

What is the solution to the following equation?            mc022-1.jpg
A)
z = –5
B)
z = –7
C)
z = 0.64
D)
z = 0.45
 

 23. 

What is the solution to the following equation:   mc023-1.jpg?
A)
–0.5
B)
–0.17
C)
–7.83
D)
–4.7
 

 24. 

In which table do the values represent the rule shown?

Rule:  The square of the sum of x and 5 is equal to y.
A)
mc024-1.jpg
C)
mc024-3.jpg
B)
mc024-2.jpg
D)
mc024-4.jpg
 

 25. 

What is the value of the expression when a = 8, b = 16, and c = -4?

mc025-1.jpg 
A)
30
C)
50
B)
35
D)
51
 



 
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