What is the definition of parallel lines?

Parallel lines are lines in a plane that never meet; they have the same slope.

What is the sum of the interior angles of a triangle?

The sum of the interior angles of a triangle is always 180 degrees.

What is the formula for the area of a triangle?

The area A of a triangle is given by $$A = \frac{1}{2} \times \text{base} \times \text{height}$$ .

What is the definition of a diameter in a circle?

The diameter is a straight line passing from side to side through the center of a circle, measuring twice the radius.

What is the relationship between the angles in an isosceles triangle?

In an isosceles triangle, the angles opposite the equal sides are equal.

What is the formula for the distance between two points in a coordinate plane?

The distance d between points (x1, y1) and (x2, y2) is given by $$d = \text{√}((x2 - x1)^2 + (y2 - y1)^2)$$ .

ACT Practice Test 2008 form 61B, questions 15-40 Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

Let x, y, z, and w be positive real numbers such that $x^{5} < y^{5} < z^{5} < w^{5}$ . Which of the numbers x, y, z, or w is the smallest?

Back

A. x

2.

FLASHCARD QUESTION

Front

The diameter of a circle is 10 centimeters. What is its circumference, in centimeters?

Back

10π

3.

FLASHCARD QUESTION

Front

In the figure on left, AC || DF, ΔEBF is isosceles with EB = FB, and ∠ABE measures 40°. What is the measure of ∠ABF?

Back

140°

4.

FLASHCARD QUESTION

Front

What is the simplified form of $(b^3)^{10}$ ?

Back

$b^{30}$

5.

FLASHCARD QUESTION

Front

What is the equation of the line that passes through the points (2, 3) and (5, 11) in the standard (x, y) coordinate plane?

Back

$y=\frac{8}{3}x-\frac{7}{3}$

6.

FLASHCARD QUESTION

Front

What is the relationship between the sides of an isosceles triangle?

Back

In an isosceles triangle, two sides are of equal length, and the angles opposite those sides are equal.

7.

FLASHCARD QUESTION

Front

What is the formula for the circumference of a circle?

Back

The circumference C of a circle is given by the formula $C = \text{diameter} \times \text{π}$ .

8.

FLASHCARD QUESTION

Front

What is the power of a power property in exponents?

Back

The power of a power property states that $(a^m)^n = a^{m \times n}$ .

9.

FLASHCARD QUESTION

Front

How do you find the slope of a line given two points?

Back

The slope m of a line through points (x1, y1) and (x2, y2) is given by $m = \frac{y2 - y1}{x2 - x1}$ .

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