# Complex Math Improvement Section 1-1 Quiz

20 Questions | Total Attempts: 309  Settings  If you want to test out your skills on something one thing you definitely need is practice material. This quiz has different math problems that someone should be able to tackle at your stage of knowledge. This Section 1-1 quiz shows how good you are at complex math. Give it a try and keep a look out and keep a look out for other tests like it.

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• 1.
When 50,000 is written as 5.0 x 10n, what is the value of n?
• A.

1

• B.

2

• C.

3

• D.

4

• E.

5

• 2.
On a car trip. Dave drove m miles, Jim drove twice as many miles as Dave, and Kevin drove 20 fewer miles than Jim. In terms of m, how many miles did Kevin drive?
• A.

2m + 20

• B.

2m - 20

• C.

M/2 + 20

• D.

M+20/2

• E.

M/2 - 20

• 3.
If x and y are positive integers, what are all the solutions (x, y) of the equation 4x + 3y = 16?
• A.

(1, 4) only

• B.

(3, 1) only

• C.

(1, 4) and (2, 2)

• D.

(1, 4) and (3, 1)

• E.

(2, 2) and (3, 1)

• 4.
A company's profit. P, in dollars, for producing x machines in one day is given byP = 600x - 10x2 If the company produces 10 machines in one day, then, according to this formula, what is the profit for that day?
• A.

\$6,000

• B.

\$5,000

• C.

\$4,000

• D.

\$3,000

• E.

\$2,000

• 5.
18 - n, 18, 18 + nWhat is the average (arithmetic mean) of the 3 quantities in the list above?
• A.

4

• B.

12

• C.

18

• D.

4 + n/3

• E.

18 + n/3

• 6.
Note: Figure not drawn to scaleIn isosceles triangle ABC above, AM and CM are the angle bisectors of angle BAC and angle BCA.What is the measure of angle AMC?
• A.

100°

• B.

105°

• C.

120°

• D.

125°

• E.

130°

• 7.
A fruit salad is made from pineapples, apples, and peaches mixed in the ratio of 5 to 3 to 2, respectively, by weight. What fraction of the mixture by weight is apple?
• A.

1/5

• B.

3/10

• C.

2/5

• D.

2/3

• E.

1/2

• 8.
Note: Figure not drawn to scaleIn the figure above, square BCDE is inscribed in the circle. What is the degree measure of CD?
• A.

45°

• B.

60°

• C.

90°

• D.

120°

• E.

180°

• 9.
If C and D are two sets of numbers, and if every number in C is also in D, which of the following cannot be true?
• A.

3 is in both C and D

• B.

4 is in neither C nor D

• C.

5 is in C, but not in D

• D.

6 is in D, but not in C

• E.

If 7 is not in D, then 8 is not in C

• 10.
What is the maximum number of rectangular blocks measuring 4 inches by 3 inches by 1 inch that can be packed into a cube-shaped box whose interior measures 12 inches on an edge?
• A.

12

• B.

48

• C.

144

• D.

36

• E.

1728

• 11.
If a0 and , what is the value of x?
• A.

-3

• B.

-1

• C.

1

• D.

3

• E.

5

• 12.
Note: Figure not drawn to scaleThe figure above is composed of 25 small triangles that are congruent and equilateral. If the area of CFI is 18, what is the area of AFK?
• A.

40

• B.

42.5

• C.

50

• D.

52.5

• E.

62.5

• 13.
4x + 3y = 204x + y = 14If the equations above are true, which of the following is the value of y?
• A.

-4

• B.

-3

• C.

0

• D.

3

• E.

4

• 14.
A car costs  dollars, and this cost is to be shared equally by a group of people. In terms of x, how many dollars less will each person contribute if  there are 5 people in the group instead of 4?
• A.

X/5

• B.

X/4

• C.

X/20

• D.

9x/20

• E.

9x

• 15.
If y = 3x + 2 and x < 2, which of the following represents all the possible values for y?
• A.

Y < 8

• B.

Y > 8

• C.

Y < 5

• D.

Y > 5

• E.

5 < y < 8

• 16.
Note: Figure not drawn to scaleThe graphs of the functions f and g in the interval from a = -2 to a = 2 are shown above. Which of the following could express g in terms of f?
• A.

G(a) = f(a) + 1

• B.

G(a) = f(a + 1)

• C.

G(a) = f(a + 1) + 1

• D.

G(a) = f(a) - 1

• E.

G(a) = f(a - 1)

• 17.
Note: Figure not drawn to scaleIn the figure above, a shaded polygon which has equal sides and equal angles is partially covered with a sheet of blank paper. If x + y = 90, how many sides does the polygon have?
• A.

Eleven

• B.

Ten

• C.

Nine

• D.

Eight

• E.

Seven

• 18.
If e, f, g and h are the coordinates of the indicated points on the number line above, which of the following is greatest?
• A.

|e + h|

• B.

|e + f|

• C.

|e - f|

• D.

|e - h|

• E.

|e + g|

• 19.
On the day of a rainstorm, the depth of the water at a certain location along the Winding River was recorded hourly, and the results are indicated in the line graph above. Each unit on the vertical axis represents 1 foot. If the depth of the water decreased 10 percent from 4:00 P.M. to 5:00 P.M , what was the depth of the water at 5:00 P.M.?
• A.

5 feet

• B.

15 feet

• C.

18 feet

• D.

20 feet

• E.

35 feet

• 20.
HFor all numbers a and b, let a b be defined by a b = ab + a + bxy  and  z, which of the following must be true?  Ⅰ. x y = y xⅡ. (x - 2) (x + 2) = (x x) - 2Ⅲ. x (y + z) = (x y) + (x z)
• A.

L only

• B.

Ll only

• C.

Lll only

• D.

L and ll only

• E.

L , ll and lll