
ACT math practice
Flashcard
•
Mathematics
•
12th Grade
•
Hard
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is vector addition?
Back
Vector addition is the process of adding two or more vectors together to determine a resultant vector. For example, if vector a = (3, 6) and vector b = (2, -5), then a + b = (3+2, 6-5) = (5, 1).
2.
FLASHCARD QUESTION
Front
How do you calculate the slope of a line given two points?
Back
The slope (m) of a line through two points (x1, y1) and (x2, y2) is calculated using the formula m = (y2 - y1) / (x2 - x1). For example, for points (-3, 1) and (5, 4), the slope is m = (4 - 1) / (5 - (-3)) = 3/8.
3.
FLASHCARD QUESTION
Front
What is the standard form of a linear equation?
Back
The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative. For example, 4x + 8y = 16 is in standard form.
4.
FLASHCARD QUESTION
Front
How do you express x in terms of y from a linear equation?
Back
To express x in terms of y from an equation like 4x + 8y = 16, isolate x: 4x = 16 - 8y, thus x = -2y + 4.
5.
FLASHCARD QUESTION
Front
What are positive factors of a number?
Back
Positive factors of a number are the integers that can be multiplied together to produce that number. For example, the positive factors of 10 are 1, 2, 5, and 10.
6.
FLASHCARD QUESTION
Front
How do you find the area of a rectangle?
Back
The area of a rectangle is calculated by multiplying its length by its width. For example, if a bathroom is 5 feet by 13 feet, the area is 5 * 13 = 65 square feet.
7.
FLASHCARD QUESTION
Front
What is the Pythagorean theorem?
Back
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².
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