review 1
12
1.)Suppose that your scores on two college algebra tests are 78 and 84, and the only test left to take is the final exam. This exam, however, counts double (this means that your test score on the final exam counts twice in the formula for average). What test score do you need on the final exam for your average test score for the course to be 88? Round your answer to the nearest tenth. a. 10 b. 95 c. 102 d. 83.33 e. 88 2.) In many universities a student is given grade points for each credit unit according to the following scale: A –4 points B –3 points C –2 points D –1 point F –0 points For example, a grade of A in a 3–unit course earns grade points and a grade of B in a 5–unit course earns grade points. A student's grade point average (GPA) for these two courses is the total number of grade points earned divided by the number of units; in this case the GPA is (12 + 15) / 8 = 3.375. Find the GPA of a student who has earned a grade of A in two 5– unit courses, B in one 6–unit course, and C in three 4–unit courses. Round your answer to the nearest hundredth. a. 2.93 b. 3.93 c. 7.67 d. 3.07 e. 1.64 3.) Write an algebraic formula for the following quantity: The area of a rectangle whose length is 3 ft more than its width. a. S = x 2 + 3 b. S = 9 c. S = x(x + 3) d. S = 4(x + 4) e. S = 3x 2 4.) Suppose that you walk at a constant rate of 2 feet per second. How many minutes do you have to walk to cover a distance of 3 miles? Round your answer to the nearest tenth. Select the correct answer. a. 7,500 min b. 132 min c. 7,920 min d. 125 min e. 396 min 5.) The fact that illustrates one of the general principles about numbers. State the principle in algebraic notation. a.
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1.)Suppose that your scores on two college algebra tests are 78 and 84, and the only test left to take is the final exam. This exam, however, counts double (this means that your test score on the final exam counts twice in the formula for average). What test score do you need on the final exam for your average test score for the course to be 88?
Round your answer to the nearest tenth.
a.10
b.95
c.102
d.83.33
e.88
2.) In many universities a student is given grade points for each credit unit according to the following scale:
A 4 points
B 3 points
C 2 points
D 1 point
F 0 points
For example, a grade of A in a 3unit course earns grade points and a grade of B in a 5unit course earns grade points. A student's grade point average (GPA) for these two courses is the total number of grade points earned divided by the number of units; in this case the GPA is (12 + 15) / 8 = 3.375. Find the GPA of a student who has earned a grade of A in two 5unit courses, B in one 6unit course, and C in three 4unit courses. Round your answer to the nearest hundredth.
a.2.93
b.3.93
c.7.67
d.3.07
e.1.64
3.) Write an algebraic formula for the following quantity:
The area of a rectangle whose length is 3 ft more than its width.
a.S = x 2 + 3
b.S = 9
c.S = x(x + 3)
d.S = 4(x + 4)
e.S = 3x 2
4.) Suppose that you walk at a constant rate of 2 feet per second. How many minutes do you have to walk to cover a distance of 3 miles?
Round your answer to the nearest tenth. Select the correct answer.
a.7,500 min
b.132 min
c.7,920 min
d.125 min
e.396 min
5.) The fact that illustrates one of the general principles about numbers. State the principle in algebraic notation.
a.
b.
c.
d.
e.
6.) Write an algebraic formula for the following quantity. The area of a triangle whose base is twice its height (h).
a.
b.
c.
d.
e.
7.) Perform the operation. a.
b.
c.
d.
e.
8.) Suppose an automobile's fuel consumption is 29 miles per gallon in city driving and 35 miles per gallon in highway driving. If x denotes the number of city miles and y the number of highway miles, then the total miles this car can travel on a 14gallon tank of fuel must satisfy the following inequality.
If the car has been driven 232 miles in the city, how many highway miles can it be driven before running out of fuel? Round your answer to the nearest tenth.
a.174 miles
b.216 miles
c.210 miles
d.213.8 miles
e.442 miles
9.) Express the repeating decimal as a fraction.
a.
b.
c.
d.
e.
10.) Simplify the expression. Eliminate any negative exponents. Assume that all variables are positive numbers.
a.
b.
c.
d.
e.
11.) Evaluate the number. a.
b.
c.81
d.243
e.
12.) Simplify the expression.a.
b.
c.
d.
e.
13.) Simplify the expression. a.
b.
c.
d.
e.
14.) Simplify the expression. Eliminate any negative exponents. Assume that all variables are positive numbers.
a.
b.
c.
d.
e.
15.) Simplify the expression. Assume that x is a positive number.
a.
b.
c.
d.
e.
16.) Perform the indicated operations and simplify.a.
b.
c.
d.
e.
17.) Factor completely.a.
b.
c.
d.
e.
18.) Perform the indicated operations and simplify. a.
b.
c.
d.
e.
19.) Factor completely.a.
b.
c.
d.
e.
20.) Factor completely.a.
b.
c.
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e.
21.) Perform the indicated operations and simplify. a.
b.
c.
d.
e.
22.) Factor completely.a.
b.
c.
d.
e.
23.) Factor completely.a.
b.
c.
d.
e.
24.)Factor completely. a.
b.
c.
d.
e.
25.) Factor completely. a.
b.
c.
d.
e.
26.) Perform the indicated operations and simplify. a.
b.
c.
d.
e.
27.) Perform the indicated operations and simplify.a.
b.
c.
d.
e.
28.) Simplify the expression..
a.
b.
c.
d.
e.
29.) Simplify the expression.a.
b.
c.
d.
e.
30.) Simplify the expression.a.
b.
c.
d.
e.
31.) Rationalize the denominator.a.
b.
c.
d.
e.
32.) Simplify the expression.a.1
b.
c.
d.
e.1
33.) Simplify the expression.a.
b.
c.
d.
e.
34.) Rationalize the numerator.a.
b.
c.
d.
e.
35.)Simplify the expression.a.
b.
c.
d.
e.
36.) Simplify the expression.a.
b.
c.
d.
e.
37.)Simplify the expression.a.
b.
c.
d.
e.
38.) Simplify the expression.a.
b.
c.
d.
e.
39.)Simplify the expression.A
b.
c.
d.
e.
40.) Simplify the expression.a.1
b.
c.
d.
e.
41.)Rationalize the denominator.a.
b.
c.
d.
e.
42.) Simplify the expression.a.1
b.
c.
d.
e.
43.) Rationalize the denominator.a.
b.
c.
d.
e.
44.) Find all real solutions of the equation. (x + 8) 2 = 36
a.x = 2, x = 14
b.x = 6, x = 6
c.x = 6, x = 6
d.x = 2, x = 14
e.x = 14, x = 14
45.)Solve the equation. (t 7) 2 = (t + 7) 2 + 112
a.4
b.7
c.16
d.7
e.4
46.) Solve the equation. a.24
b.26
c.24
d.27
e.27
47.) Find all real solutions of the equation x 2 16 = 0.
a.x = 4, x = 16
b.x = 4, x = 4
c.x = 16, x = 16
d.x = 16, x = 4
e.x = 8, x = 8
48.)Solve the equation.a.17
b.54
c.17
d.54
e.18
