Practice Test B

Rational & Irrational Numbers

Which of the following best describes the number π (pi)?

Slope

What is the slope of a line that passes through (−1, 4) and (3, −4)?

Systems of Equations

A system of equations has no solution. What does this mean graphically?

Quadratic Functions

A ball is thrown upward. Its height in feet after t seconds is h = −16t² + 64t. At what time does the ball reach its maximum height?

Exponents

Simplify: (3x²y³)²

Scientific Notation

The distance from Earth to the Sun is approximately 93,000,000 miles. Written in scientific notation, this is:

Volume

A cone has a radius of 6 cm and a height of 9 cm. What is its volume? (Use π ≈ 3.14)

Transformations — Reflection

Point P is at (4, −3). It is reflected over the x-axis. What are the new coordinates?

Angle Relationships

Two angles are supplementary. One angle measures 3x + 10 degrees and the other measures 2x − 5 degrees. What is the value of x?

Probability

A spinner has 8 equal sections numbered 1–8. What is the probability of spinning an even number or a number greater than 5?

Mean, Median, Mode

A student scored 72, 85, 90, 68, and 90 on five tests. Which measure of center best represents the typical score if you want to show the most common score?

Proportional Relationships

The ratio of boys to girls in a class is 3:4. If there are 28 girls, how many boys are there?

Slope-Intercept Form

Which equation represents a line with slope −2 and y-intercept 5?

Pythagorean Theorem

A 13-foot ladder leans against a wall. The base of the ladder is 5 feet from the wall. How high up the wall does the ladder reach?

Functions

If f(x) = 3x² − 2x + 1, what is f(−2)?

Two-Way Tables

In a class of 60 students, 25 play soccer and 35 do not. Of the soccer players, 15 are girls. Of the non-soccer players, 20 are girls. What is the probability that a randomly selected girl plays soccer?

Radicals & Square Roots

Simplify: √75

Combining Like Terms

What is the product of (2x + 3)(x − 4)?

Scatter Plots & Line of Best Fit

A line of best fit for a scatter plot has the equation y = 2.5x + 10. What does the slope 2.5 represent in context if x = years of experience and y = salary (in thousands)?

Percent

A store marks up a product by 40% from its wholesale price of $50. What is the retail price?

Surface Area

What is the lateral surface area of a cylinder with radius 5 cm and height 12 cm? (Use π ≈ 3.14)

Absolute Value

Solve: |2x − 4| = 10

Order of Operations

Evaluate: 2(3 + 4)² − 5 × 3

Triangle Congruence

Which of the following is NOT a valid triangle congruence postulate?

Equations of Circles

A circle has its center at the origin and passes through the point (5, 12). What is the equation of the circle?

Graphing Linear Inequalities

Which point is a solution to the inequality y ≤ −x + 4?

Box Plots & Data Distribution

A data set has Q1 = 15, median = 28, Q3 = 40, minimum = 5, maximum = 55. Which statement is true?

Number System

Which of the following is a counterexample to the statement "The product of two irrational numbers is always irrational"?

Parallel & Perpendicular Slopes

Line m passes through (0, 3) and (4, 7). Line n passes through (1, 0) and (5, 4). What is the relationship between the lines?

Transformations — Rotation

Point Q is at (3, 5). It is rotated 90° counterclockwise about the origin. What are the new coordinates?