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Circle the correct answersMTH # 1
Question 1 of 20
0.0/ 5.0 Points
What is the simplified form of the expression?
A.
B.
C.
D.
Question 2 of 20
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Write the explicit formula for the geometric sequence.
a1 = -5 a2 = 20 a3 = -80
A. an = -5 • (-4)n
B. an = -5(-4)n-1
C. an = -4(-5)n-1
D. an = -5 • (4)n
Question 3 of 20
5.0/ 5.0 Points
What is the simplified form of the expression?
A.
B.
C.
D.
0.0/ 5.0 Points
Question 4 of 20
What is the value of
A.
B.
128
C.
for x = 2 and y = -4?
D.
-128
Question 5 of 20
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What is each expression written using each base only once?
A.
B.
C.
D.
Question 6 of 20
Simplify the expression.
A.
B.
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C.
D.
Question 7 of 20
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A population of 1,750 cheetahs decreases by 11% per year. How many cheetahs will there be in the
population after 10 years? Round your answer to the nearest whole number.
A. 4969
B. 486
C. 546
D. 1640
Question 8 of 20
5.0/ 5.0 Points
Suppose an investment of \$3,800 doubles in value every decade. The function
gives the
value of the investment after x decades. How much is the investment worth after 2 decades?
A. \$152,000
B. \$15,200
C. \$76,000
D. \$7,600
Question 9 of 20
Find the simplified form of the expression. Give your answer in scientific notation.
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A.
B.
C.
D.
Question 10 of 20
5.0/ 5.0 Points
Find the simplified form of the expression. Give your answer in scientific notation.
A.
B.
C.
D.
Question 11 of 20
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What is the simplified form of the expression?
A.
B.
C.
D.
Question 12 of 20
What is the simplified form of the expression?
A.
B.
C.
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D.
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Question 13 of 20
What is the simplified form of the expression?
A.
B. c5d3
C.
D. c2d4
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Question 14 of 20
What is the value of
A.
16
B.
-4
for x = 2 and y = –4?
C.
D.
-16
Question 15 of 20
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Suppose the population of a town is 8,600 and is growing 3% each year. Predict the population after 3
years.
Question 16 of 20
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Suppose that the population of deer in a state is 1,500 and is growing 2% each year. Predict the
population after 4 years.
Question 17 of 20
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What is the simplified form of the expression?
A.
B.
C.
D.
Question 18 of 20
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What is the simplified form of the expression?
A.
B.
.
C.
D.
Question 19 of 20
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What is the simplified form of the expression?
A.
B.
C.
D.
Question 20 of 20
What is the simplified form of the expression?
A.
B.
C.
D.
0.0/ 5.0 Points
MTH # 2
Question 1 of 30
0.0/ 3.3333 Points
What is the side length b in the triangle below?
A. 8
B. 16
C. 2.8
D. 23.3
Question 2 of 30
11. Simplify the expression.
A.
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B.
C.
D.
Question 3 of 30
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Can the set of lengths be the side lengths of a right triangle?
7ft, 12ft, 17 ft
A. Yes
B. No
C. Not enough information to answer the question
Question 4 of 30
3. Simplify the radical expression by rationalizing the denominator.
0.0/ 3.3333 Points
A.
B.
C.
D.
Question 5 of 30
3.33/ 3.3333 Points
Can the set of lengths be the side lengths of a right triangle? 18 m, 24 m, 30 m
A. yes
B. no
C. Not enough information given to answer the question.
Question 6 of 30
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Find the missing side b.
A. 13
B. 19.7
C. 16.1
D. 26
Question 7 of 30
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A.
16
B.
C.
10
D.
Question 8 of 30
10. Simplify the expression.
A.
3.33/ 3.3333 Points
B.
C.
D.
Question 9 of 30
3.33/ 3.3333 Points
An airplane over the Pacific Ocean sights an atoll at an 7° angle of depression. If the plane is
663 m above the water, how many kilometers is it from a point 663 m directly above the
atoll?(Hint: Make sure your calculator is in degrees!)
A. 5399.7 km
B. 5.4 km
C. 81.41 km
D. 760.8 km
Question 10 of 30
22. Solve
0.0/ 3.3333 Points
A.
B.
C.
D.
Question 11 of 30
14. Simplify the expression.
0.0/ 3.3333 Points
A.
B.
C.
D.
Question 12 of 30
What is the measure of side c in the triangle below?
0.0/ 3.3333 Points
A. 13
B. 7
C. 4.1
D. 17
Question 13 of 30
2. Simplify the radical expression by rationalizing the denominator.
A.
B.
C.
D.
3.33/ 3.3333 Points
Question 14 of 30
A.
B.
C.
D.
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Question 15 of 30
A.
B.
C.
D.
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Part 2 of 2 –
Question 16 of 30
13.33/ 49.999508 Points
0.0/ 3.3333 Points
Find the excluded value of the rational expression
A. 2
B. -2
C. 0
D. -3
Question 17 of 30
Divide.
(-6m7 + 20m6) ÷ 2m4
A.
-6m7 + 20m2
B.
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-3m3 + 20m6
C.
-3m3 + 10m2
D.
-3m7 + 10m6
Question 18 of 30
Simplify the rational expression. State any excluded values.
A.
, where x does not equal 0
B.
, where x does not equal 0
C.
0.0/ 3.3333 Points
D.
, where x does not equal 5,0
Question 19 of 30
Multiply. State any excluded values.
A.
, where a does not equal 0
B.
, where a does not equal 0
C.
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, where a does not equal 0
D.
Question 20 of 30
Divide:
A.
B.
C.
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D.
Question 21 of 30
Divide
A.
B.
C.
3.33/ 3.3333 Points
D.
Question 22 of 30
Simplify the rational expression. State any excluded values.
A.
, where x does not equal -5
B.
X + 5 , where x does not equal 5
C.
, where x does not equal -2
D.
3.33/ 3.3333 Points
Question 23 of 30
3.33/ 3.3333 Points
What is the remainder of (x3 – 6×2 -9x + 3) ÷ (x – 3)
A.
B.
C.
-51
D.
Question 24 of 30
Multiply:
A.
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(k + 3)(3k +2)
B.
(3k + 1)(2k + 3)
C.
D.
Question 25 of 30
Multiply. State any excluded values.
A.
, where q does not equal 0
B.
, where q does not equal -2
C.
0.0/ 3.3333 Points
, where q does not equal 3
D.
, where q does not equal 3
Question 26 of 30
Which of the following is the reciprocal of:
x2 – 2x – 8
A.
(x + 2)(x – 4)
B.
C.
D.
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Question 27 of 30
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Suppose that a sphere with radius 5a has the same volume as a cone of radius 3a. What is the
height of the cone? Give your answer in terms of a. Use the
formulas
respectively.
A.
B.
C.
D.
for the volumes of a sphere and cone
Question 28 of 30
0.0/ 3.3333 Points
Simplify the rational expression. State any excluded values.
A.
x+2
B.
C.
D.
Question 29 of 30
Simplify the rational expression. State any excluded values.
3.33/ 3.3333 Points
A. x -3, where x does not equal 3
B. x – 3, where x does not equal -2
C.
, where x does not equal 2
D. x – 2
Question 30 of 30
Divide
A.
B.
C.
0.0/ 3.3333 Points
D.
MTH # 3
Graph the function and identify the domain and range.
y = -1.5×2
A.
domain:
range:
B.
domain:
range:
C.
domain:
range:
D.
domain:
range:
Question 2 of 20
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A catapult launches a boulder with an upward velocity of 112 ft/s. The height of the boulder, h, in
feet after t seconds is given by the function
.
How long does it take the boulder to reach its maximum height? What is the boulder’s maximum
height? Round to the nearest hundredth, if necessary.
A. 7 s; 30 ft
B. 3.5 s; 366 ft
C. 3.5 s; 618 ft
D. 3.5 s; 226 ft
Question 3 of 20
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Landon is standing in a hole that is 5.1 ft deep. He throws a rock, and it goes up into the air, out of
the hole, and then lands on the ground above. The path of the rock can be modeled by the equation
y = -0.005×2 + 0.41x – 5.1, where x is the horizontal distance of the rock, in feet, from Landon
and y is the height, in feet, of the rock above the ground. How far horizontally from Landon will
the rock land?
A. 66.71 ft
B. 33.35 ft
C. 15.29 ft
D. 7.65 ft
Question 4 of 20
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The table shows the estimated number of deer living in a forest over a five-year period. Which type
of function best models the data? Write an equation to model the data.
Year Estimated Population
0
100
1
79
2
62
3
49
4
39
A. linear; y = 0.79x + 100
B. quadratic; y = 100×2 + 0.79
C. exponential; y = 100 * 0.79x
D. quadratic; y = 0.79×2 + 100
Question 5 of 20
What is the value of c such that: x2 + 14x + c, is a perfect-square trinomial?
5.0/ 5.0 Points
A. 7
B. 98
C. 196
D. 49
Question 6 of 20
Graph the function. Identify the vertex and axis of symmetry.
A.
axis of symmetry:
vertex: (–0.5, –0.5)
0.0/ 5.0 Points
B.
axis of symmetry:
vertex: (0.5, –0.5)
C.
axis of symmetry:
vertex: (0.5, 0.5)
D.
axis of symmetry:
vertex: (0.5, 0.5)
Question 7 of 20
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What are the solutions of the equation?
A. 1, –
B. 0, –10
C. 0,
D. 0, 10
Question 8 of 20
Graph the set of points. Which model is most appropriate for the set?
(- 1, 20), (0, 10), (1, 5), (2, 2.5)
A.
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B.
linear
C.
D.
exponential
Question 9 of 20
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Solve the equation using square roots.
A. –3, 3
B. –9, 9
C.
D. no real number solutions
Question 10 of 20
Order the group of parabolas from widest to narrowest
y = 1/4x 2, y = -1/2x 2, y = 3/2x 2
A.
y = 1/4x 2, y = 3/2x 2, y = -1/2x 2
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B.
y = -1/2x 2, y = 1/4x 2, y = 3/2x 2
C.
y = 1/4x 2, y = -1/2x 2, y = 3/2x 2
D.
y = 3/2x 2, y = -1/2x 2, y = 1/4x 2
Question 11 of 20
What are the solutions of the equation 2×2 = 2? Use a graph of the related function.
A.
There are two solutions: -1 and 1.
B.
0.0/ 5.0 Points
There are two solutions: -1 and 1.
C.
There are two solutions:
D.
There are no real number solutions.
Question 12 of 20
What are the solutions of the system? Solve by graphing.
y = -2
A.
The solution of the system is (–1, –2).
0.0/ 5.0 Points
B.
The system has no solution.
C.
The solution of the system is (–1, 2).
D.
The solution of the system is (1, –2).
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Question 13 of 20
Find the vertex of the parabola by completing the square.
A. (–3,– 6)
B. (3,–1)
C. (–3,1)
D. (–1, 3)
Question 14 of 20
5.0/ 5.0 Points
Complete the following sentence:
You can verify the zeros of the function
graph _______.
A. is at a minimum
B. is at a maximum
by using a graph and finding where the
C. crosses the x-axis
D. crosses the y-axis
0.0/ 5.0 Points
Question 15 of 20
Order the group of quadratic functions from widest to narrowest graph.
,
,
A.
,
,
B.
,
,
C.
,
,
D.
,
,
Question 16 of 20
Graph the function and identify the domain and range.
y = 0.5×2
0.0/ 5.0 Points
A.
domain:
range:
B.
domain:
range:
C.
domain:
range:
D.
domain:
range:
Question 17 of 20
How is the graph of y = -4x 2 – 5 different from the graph of y = -4x 2?
A. It is shifted 5 unit(s) right.
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B. It is shifted 5 unit(s) left.
C. It is shifted 5 unit(s) up.
D. It is shifted 5 unit(s) down.
Question 18 of 20
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Use the discriminant to determine the number of real-number solutions for the equation:
8×2 + 8x + 2 = 0
A. one solution
B. two solutions
C. no solutions
D. infinitely many solutions
Question 19 of 20
0.0/ 5.0 Points
What method(s) would you choose to solve the equation:
x2 + 2x – 6 = 0
A. Square roots; there is no x-term.
B. Quadratic formula, graphing; the equation cannot be factored easily since the numbers are
large.
C. Factoring; the equation is easily factored.
D. Quadratic formula, completing the square or graphing; the coefficient of x2-term is 1, but the
equation cannot be factored.
Question 20 of 20
Graph the set of points. Which model is most appropriate for the set?
(–2, 10), (–1, 1), (0, –2), (1, 1), (2, 10)
A.
B.
0.0/ 5.0 Points
C.
linear
D.
exponential
MTH # 4
Question 1 of 50
38.0/ 100.0 Points
0.0/ 2.0 Points
What is the sum?
–7 + 5
A. –2
B. 12
C. –12
D. 2
Question 2 of 50
0.0/ 2.0 Points
You made two deposits to your bank account this month. One deposit was \$17.92, and the
second deposit was \$15.33. Your balance at the end of the month is \$72.31, and you made no
withdrawals. Write and evaluate an expression for your balance at the beginning of the month.
A. \$72.31 + (\$17.92 – \$15.33); \$74.90
B. \$72.31 – \$17.92 – \$15.33; \$39.06
C. \$72.31 + \$17.92 + \$15.33; \$105.56
D. \$72.31 – (\$17.92 – \$15.33); \$69.72
Question 3 of 50
Evaluate (ab) 2 for a = 4 and b= 3.
A. 81
2.0/ 2.0 Points
B. 144
C. 24
D. 36
Question 4 of 50
2.0/ 2.0 Points
What is the simplified form of the expression? 1/3(21m + 27)
A. 63m + 9
B. 7m + 9
C. 7m + 81
D. 7m + 27
Question 5 of 50
2.0/ 2.0 Points
What percent of 100 is 30?
A. 30%
B. 333%
C. 3.33%
D. 0.3%
Question 6 of 50
0.0/ 2.0 Points
John and 2 friends are going out for pizza for lunch. They split one pizza and 3 large drinks.
The pizza cost \$12.00. They spend a total of \$16.95. Find the cost of one large drink.
A. \$1.65
B. \$1.70
C. \$2.48
D. \$14.48
Question 7 of 50
2.0/ 2.0 Points
A dress that normally costs \$69.50 is on sale for 45% off. What is the sale price of the dress?
A. \$38.23
B. \$31.28
C. \$24.50
D. \$1.54
Question 8 of 50
0.0/ 2.0 Points
Manny and Emma are both competing in a long jump competition at their school. Manny can
jump four fifths of the distance that Emma can jump. Manny can jump 40 inches. How far can
Emma jump?
A. 50 inches
B. 39.2 inches
C. 32 inches
D. 40.8 inches
Question 9 of 50
2.0/ 2.0 Points
What is the solution of the proportion?
A. 56
B. 672
C. 168
D. 576
Question 10 of 50
0.0/ 2.0 Points
What inequality describes the situation? Let n = the number. A number
exceeds 45.
A.
n < 45 B. n > 45
C.
n < 45 D. n > 45
Question 11 of 50
What are the solutions of the inequality? Check the solutions. 4x + 6 < –6 0.0/ 2.0 Points A. x > –3
B. x > –6
C. x < –3 D. x < + 6 Question 12 of 50 2.0/ 2.0 Points What inequality represents the verbal expression? All real numbers less than 69. A. x < 69 B. x > 69
C.
x > 69
D.

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