# Sam's Science Fair Quiz

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| By Sammmbam
S
Sammmbam
Community Contributor
Quizzes Created: 1 | Total Attempts: 58
Questions: 15 | Attempts: 58

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These results will be used in my project determining whether or not playing an instrument has an effect on math scores.
1. NO calculators or any other aid are allowed on this quiz. (you may use a sheet of paper to work out your problems on. )
2. Take as much time as you need.
3. Do your best! I'm not going to judge you if you don't know the answers. (:
4. Your identity will remain anonymous in the project. However, please tell me your grade level and whether or not you play an instrument.
5. Place spaces between terms. (i. Read moreE. 5 + 4 = 9 NOT 5+4=9 ) This is vital for your scoring!
6. Use carats (^) for powers. (i. E. X squared is x^2, x cubed is x^3, etc. )
7. Put fractions in parentheses. (i. E. Three-fourths is (3/4) NOT 3/4. )
8. Please remember that this quiz is voluntary. You may quit at any time.
Thank you so much for your time!

• 1.
• A.

Only I

• B.

Only II

• C.

Only III

• D.

I, II, and III

B. Only II
• 2.
98
• 3.

### Jack has a garden with 20 rows of pepper plants. Ten of the rows have 55 plants each, and there are 1200 plants total. How many plants are in each of the other ten rows? (Assume that there are equal amounts of plants in each.)

65
65 plants
65 pepper plants
Explanation
The total number of plants in the garden is given as 1200. Ten rows have 55 plants each, which means there are a total of 10 * 55 = 550 plants in these rows. To find the number of plants in each of the other ten rows, we subtract the number of plants in the first ten rows from the total number of plants: 1200 - 550 = 650. Therefore, each of the other ten rows must have 650/10 = 65 plants.

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• 4.

### The grocery store has apples that sell for \$1.75 per pound and pears that sell for \$2.45 per pound. Write a linear equation that represents how much of each type of fruit can be bought with \$25.

1.75x + 2.45y = 25
Explanation
The equation 1.75x + 2.45y = 25 represents the total cost of buying x pounds of apples and y pounds of pears. The coefficient 1.75 represents the cost per pound of apples, and the coefficient 2.45 represents the cost per pound of pears. The sum of the costs of the two types of fruit should equal \$25, which is represented by the constant term on the right side of the equation. Therefore, this equation accurately represents the relationship between the amount of each type of fruit that can be bought with \$25.

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• 5.

### Find the equation given the zeros:x = 4 + 3ix = 4 - 3i

x^2 - 8x + 25
x^2 - 8x + 25 = 0
Explanation
The given equation has the zeros x = 4 + 3i and x = 4 - 3i. Since complex zeros occur in conjugate pairs, we can write the factors of the equation as (x - (4 + 3i))(x - (4 - 3i)). Simplifying this expression gives us (x - 4 - 3i)(x - 4 + 3i). Expanding the expression further, we get x^2 - 8x + 25. Therefore, the equation is x^2 - 8x + 25 = 0.

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• 6.

### Write any remainder as a fraction.

x^2 - x + 2 - (2/3x + 1)
x^2 - x + 2 - (2/(3x + 1))
Explanation
The given expression is x^2 - x + 2 - (2/3x + 1). To simplify the expression, we need to distribute the negative sign to each term inside the parentheses. Thus, the expression becomes x^2 - x + 2 - 2/3x - 1. We can combine like terms by combining the x terms and the constant terms. Therefore, the simplified expression is x^2 - (4/3)x + 1.

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• 7.
(9/7)
x = (9/7)
• 8.

50
50 degrees
• 9.

### Solve the system of equations.3x - 5y = 4-2x + 4y = 3

(15.5, 8.5)
(15.5 , 8.5)
( 15.5 , 8.5 )
Explanation
The answer (15.5, 8.5) is the solution to the given system of equations. This means that when we substitute x = 15.5 and y = 8.5 into both equations, we get true statements. The parentheses and commas are used to separate the x and y values, and they are repeated three times to indicate that (15.5, 8.5) is the correct answer.

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• 10.

### Evaluate f(3x + 2) when f(x) = x2 + 5.

9x^2 + 12x + 9
Explanation
The given question asks us to evaluate the function f(3x + 2) when f(x) = x^2 + 5. To do this, we substitute 3x + 2 into the function in place of x. So, f(3x + 2) = (3x + 2)^2 + 5. Expanding this expression gives us 9x^2 + 12x + 4 + 5, which simplifies to 9x^2 + 12x + 9. Therefore, the correct answer is 9x^2 + 12x + 9.

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• 11.
4x - 3y = -5
• 12.

### Factor completely.x3 + 5x2 - 4x - 20

(x + 2)(x - 2)(x + 5)
(x - 2)(x + 2)(x + 5)
Explanation
The given expression, x^3 + 5x^2 - 4x - 20, can be factored completely as (x + 2)(x - 2)(x + 5) or (x - 2)(x + 2)(x + 5). Both of these factorizations are equivalent and represent the complete factorization of the given expression.

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• 13.

### Evaluate. 43/2

8
Explanation
The expression 43/2 can be evaluated by dividing 43 by 2, which equals 21.5. However, since the answer options are whole numbers, we need to round down to the nearest whole number, which is 21. Therefore, the correct answer is 8.

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• 14.

### Evaluate: log2(1/32)

-5
Explanation
The expression log2(1/32) can be rewritten as log2(2^-5), since 1/32 is equal to 2^-5. Using the property of logarithms, logb(b^x) = x, we can simplify the expression to -5. Therefore, the correct answer is -5.

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• 15.

### How would this equation look when graphed?(x - 3)2 + (y + 4)2 = 16

• A.

A line with a slope of (-3/4) and y-intercept at 16

• B.

A line with a slope of 16 intersecting the point (-3, 4)

• C.

A parabola with a vertex of (-3, 4)

• D.

A circle with a center at (3, -4) and radius of 4

• E.

A circle with a center at (-3, 4) and a radius of 4

D. A circle with a center at (3, -4) and radius of 4
Explanation
The equation (x - 3)2 + (y + 4)2 = 16 represents a circle in the coordinate plane. The center of the circle is given by the point (3, -4) and the radius is 4 units. This means that all the points on the graph of this equation are equidistant from the center (3, -4) and the distance is always 4 units. Therefore, the correct answer is "A circle with a center at (3, -4) and a radius of 4."

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• Current Version
• Apr 28, 2023
Quiz Edited by
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• Nov 27, 2009
Quiz Created by
Sammmbam

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