Algebra PreAssessment
 
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Algebra PreAssessment

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 
 
Write an algebraic expression for the phrase.
 

 1. 

the sum of b and 11
a.
b – 11
b.
mc001-1.jpg
c.
b + 11
d.
11b
 

 2. 

the product of g and 4
a.
4g
b.
g + 4
c.
mc002-1.jpg
d.
g – 4
 

 3. 

4 times the sum of q and p
a.
4q + p
b.
4 + q + p
c.
4qp
d.
4(q + p)
 

 4. 

–2 times the quantity q minus 3
a.
–2q – 3
b.
q(–2 – 3)
c.
mc004-1.jpg
d.
–2(q – 3)
 
 
Define a variable and write an expression for the phrase.
 

 5. 

the quotient of 6 times a number and 16
a.
mc005-1.jpg
b.
mc005-2.jpg
c.
mc005-3.jpg
d.
mc005-4.jpg
 

 6. 

4 minus a number
a.
4 – n
b.
4n
c.
mc006-1.jpg
d.
mc006-2.jpg
 

 7. 

The total cost to rent a row boat is $18 times the number of hours the boat is used. Write an equation to model this situation if c = total cost and h = number of hours.
a.
c = 18h
b.
c – 18 = h
c.
h = 18c
d.
mc007-1.jpg
 

 8. 

What equation models the data in the table if d = number of days and c = cost?
Days
Cost
2
44
3
66
5
110
6
132
a.
d = 22c
b.
c = 22d
c.
c = d + 22d
d.
c = d + 22
 

 9. 

An equilateral triangle has three sides of equal length. What is the equation for the perimeter of an equilateral triangle if P = perimeter and s = length of a side?
a.
s = 3P
b.
P = 3s
c.
P = 3 + s
d.
P = 3(s + s + s)
 

 10. 

Evaluate u + xy, for u = 18, x = 10, and y = 8.
a.
188
b.
36
c.
98
d.
224
 

 11. 

A pair of shoes costs $52.99 and the state sales tax is 8%. Use the formula C = p + rp to find the total cost of the shoes, where C is the total cost, p is the price, and r is the sales tax rate.
a.
$95.38
b.
$60.99
c.
$57.23
d.
$78.19
 

 12. 

Evaluate the expression mc012-1.jpg for a = 4 and b = 3.
a.
36
b.
24
c.
81
d.
144
 

 13. 

You can use the formula mc013-1.jpg to convert temperature in degrees Fahrenheit, F, to temperature in degrees Celsius, C. What is 62°F in degrees Celsius? Round your answer to the nearest tenth.
a.
30°C
b.
16.7°C
c.
52.2°C
d.
2.4°C
 

 14. 

Evaluate mc014-1.jpg for x = –2 and y = 3.
a.
4
b.
8
c.
–4
d.
–8
 
 
Simplify the expression.
 

 15. 

mc015-1.jpg
a.
108
b.
36
c.
18
d.
9
 

 16. 

mc016-1.jpg
a.
29
b.
80
c.
128
d.
92
 

 17. 

mc017-1.jpg
a.
297
b.
868
c.
437
d.
867
 

 18. 

mc018-1.jpg(–12m + 38)
a.
mc018-2.jpgm + 38
c.
mc018-4.jpgm + 76
b.
–24m + mc018-3.jpg
d.
mc018-5.jpgm + mc018-6.jpg
 

 19. 

(–5 – c)(–1)
a.
–5 + c
b.
5 + c
c.
5 – c
d.
–5 – c
 

 20. 

mc020-1.jpg
a.
36
b.
–72
c.
72
d.
–36
 

 21. 

Evaluate the formula mc021-1.jpg for B = 9 in.2 and h = 32 in.
a.
288 in.3
b.
9.6 in.3
c.
32 in.3
d.
96 in.3
 

 22. 

Order the numbers from least to greatest.
mc022-1.jpg, mc022-2.jpg, mc022-3.jpg
a.
mc022-4.jpg, mc022-5.jpg, mc022-6.jpg
c.
mc022-10.jpg, mc022-11.jpg, mc022-12.jpg
b.
mc022-7.jpg, mc022-8.jpg, mc022-9.jpg
d.
mc022-13.jpg, mc022-14.jpg, mc022-15.jpg
 

 23. 

A mountain climber ascends a mountain to its peak. The peak is 12,740 ft above sea level. The climber then descends 200 ft to meet a fellow climber. Find the climber’s elevation above sea level after meeting the other climber.
a.
12,540 ft
b.
–12,540 ft
c.
10,740 ft
d.
12,940 ft
 

 24. 

Evaluate –x + 2.7 for x = 0.9.
a.
–1.8
b.
–3.6
c.
1.8
d.
3.6
 

 25. 

The temperature on a summer afternoon is 85°F. Define a variable and write an expression to find the temperature after it changes. Then evaluate your expression for a decrease of 11 degrees Fahrenheit.
a.
11 + c; 11 + (–85) = 96
c.
11 – c; 11 – (–85) = 74
b.
85 + c; 85 + (–11) = 74
d.
85 – c; 85 – (–11) = 96
 

 26. 

Evaluate b – 2ac for a = –7, b = 3, and c = –7.
a.
24
b.
3
c.
10
d.
–18
 

 27. 

Evaluate mc027-1.jpg for m = –4, n = 2, and p = 1.5.
a.
–10
b.
–19
c.
–30
d.
–22
 

 28. 

Evaluate mc028-1.jpg for a = mc028-2.jpg and b = mc028-3.jpg.
a.
mc028-4.jpg
b.
mc028-5.jpg
c.
mc028-6.jpg
d.
mc028-7.jpg
 

 29. 

What are the coordinates of point A?
mc029-1.jpg
a.
(–1, 1)
b.
(1, 1)
c.
(–1, –1)
d.
(1, –1)
 

 30. 

Which of the scatter plots shows a positive correlation?
a.
mc030-1.jpg
c.
mc030-3.jpg
b.
mc030-2.jpg
d.
mc030-4.jpg
 



 
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