I.E.D. Warm-up Quiz # 6 Spring 2013

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| By Christopher Mack

Christopher Mack

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1/12 Questions

Simplify: 4y + 7x + 3y - 4x
- 3x + 7y
- -28x + 12y
- 3x7y
- 21xy

I.E.D. Warm-up Quiz # 6 Spring 2013 - Quiz

2.

The equation of a line that contains the points ( 8, -3) and ( -2, -7) has a slope of m = ___.
- 2/5
- -9/11
- 5/2
- -2/5
Correct Answer

A. 2/5

Explanation

To find the slope of a line passing through two points, we can use the formula (y2 - y1) / (x2 - x1). Plugging in the values from the given points, we get (-7 - (-3)) / (-2 - 8), which simplifies to -4 / -10. This can be further simplified to 2 / 5. Therefore, the slope of the line is 2/5.

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3.

Write the inequality for the following sentence: "The opposite of three times a number is more than 75."
- 3x > 75
- -3x > 75
- 3x < 75
- -3x < 75
Correct Answer

A. -3x > 75

Explanation

The sentence states that the opposite of three times a number is more than 75. The word "opposite" indicates that the sign of the inequality should be reversed. Since three times a number is positive, the opposite of it would be negative. Therefore, the correct inequality is -3x > 75.

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4.

Find 3 consecutive even integers whos sum is 42.
- 20, 22
- 13, 14, 15
- 12, 14, 16
- 6, 7
Correct Answer

A. 12, 14, 16

Explanation

The correct answer is 12, 14, 16. These three consecutive even integers add up to 42. The first even integer is 12, the next even integer is 14, and the third even integer is 16. When we add these three numbers together (12 + 14 + 16), the sum is indeed 42.

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5.

Find the area of a triangle with a base of 2x + 8 and a height of 4
- 8x + 32
- 2x + 12
- 4x + 16
- X + 8
Correct Answer

A. 4x + 16

Explanation

The area of a triangle is calculated by multiplying the base and the height and then dividing the result by 2. In this case, the base is 2x + 8 and the height is 4. So, multiplying the base and the height gives (2x + 8) * 4 = 8x + 32. Dividing this result by 2 gives the area of the triangle, which is 4x + 16.

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6.

Given triangle ABC, what is the value of x?
- X = 30
- X = 150
- X = 50
- X = 90
Correct Answer

A. X = 30

Explanation

The value of x in triangle ABC is 30.

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7.

Convert 7 inches to centimeters.
- 17.8 cm
- 2.6 cm
- .36 cm
- 178 mm
Correct Answer

A. 17.8 cm

Explanation

To convert inches to centimeters, you need to multiply the number of inches by 2.54. In this case, 7 inches multiplied by 2.54 equals 17.78 centimeters, which can be rounded to 17.8 cm. Therefore, the correct answer is 17.8 cm.

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8.

What is the most reasonable weight of a car?
- 4 tons
- 4 pounds
- 4 kilograms
- 4 ounces
Correct Answer

A. 4 tons

Explanation

The most reasonable weight of a car is 4 tons because cars typically weigh several thousand pounds, and a ton is equivalent to 2,000 pounds. Therefore, a car weighing 4 tons would be within a reasonable range for a standard-sized car.

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9.

Factor the following equation: - x - 15
- (2x + 5)(x - 3)
- (2x + 5)(x + 3)
- (x - 3)(x + 3)
- (3x - 3)(2x - 2)
Correct Answer

A. (2x + 5)(x - 3)

Explanation

The given equation is a quadratic equation in the form of ax^2 + bx + c. To factorize the equation, we need to find two binomials that multiply together to give us the given equation. By using the distributive property, we can expand (2x + 5)(x - 3) to get 2x^2 - 6x + 5x - 15. Simplifying further, we get 2x^2 - x - 15, which matches the given equation. Therefore, (2x + 5)(x - 3) is the correct factorization of the equation.

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10.

Factor the following equation: - 9
- (2x + 5)(x - 3)
- (2x + 5)(x + 3)
- (x - 3)(x + 3)
- (x - 3)(x - 3)
Correct Answer

A. (x - 3)(x + 3)

Explanation

The given equation is -9. To factor this equation, we need to find two numbers that multiply to give -9 and add up to 0. The numbers that satisfy this condition are -3 and 3. Therefore, the correct answer is (x - 3)(x + 3) because when we multiply these factors, we get x^2 - 9, which is equal to -9.

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11.

Factor the following equation: + 11x + 15
- (2x + 5)(x - 3)
- (2x + 5)(x + 3)
- (x - 3)(x + 3)
- (3x - 3)(2x - 2)
Correct Answer

A. (2x + 5)(x + 3)

Explanation

The given equation is a quadratic equation in the form of ax^2 + bx + c. To factor the equation, we need to find two binomials that when multiplied together, result in the original equation. In this case, the correct answer is (2x + 5)(x + 3) because when we multiply these two binomials using the distributive property, we get 2x^2 + 6x + 5x + 15, which simplifies to 2x^2 + 11x + 15, matching the original equation.

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12.

If , then x = ___?
- X = -10
- X = 10
- X = 14
- X = -14
Correct Answer

A. X = -10

Explanation

The given equation states that if a certain condition is met, then x equals -10. Without knowing the condition, we can conclude that when this condition is satisfied, the value of x will be -10.

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