Practice Test A

Rational & Irrational Numbers

Which of the following is an irrational number?

Slope

A line passes through the points (2, 5) and (6, 13). What is the slope of the line?

Linear Equations

What is the solution to 3x − 7 = 14?

Systems of Equations

Which ordered pair is the solution to the system: y = 2x + 1 and y = −x + 7?

Two-Way Tables

A survey of 80 students found that 45 play a sport and 35 do not. Of those who play a sport, 30 are in grade 8. What is the probability that a randomly selected student plays a sport AND is in grade 8?

Pythagorean Theorem

A right triangle has legs of length 9 and 12. What is the length of the hypotenuse?

Volume

A cylinder has a radius of 4 cm and a height of 10 cm. What is its volume? (Use π ≈ 3.14)

Functions

Which of the following tables represents a function?

Exponents

What is the value of 2⁵ × 2³?

Scientific Notation

Which of the following is equal to 4.7 × 10⁻³?

Percent

A jacket originally costs $80. It is on sale for 25% off. What is the sale price?

Proportional Relationships

A car travels 150 miles in 3 hours. At the same rate, how far will it travel in 5 hours?

Graphing Linear Inequalities

Which inequality is represented by a dashed line with shading above the line?

Transformations — Translation

Point A is at (3, −2). It is translated 4 units right and 5 units up. What are the new coordinates?

Angle Relationships

Two parallel lines are cut by a transversal. One angle measures 65°. What is the measure of its co-interior (same-side interior) angle?

Scatter Plots & Line of Best Fit

A scatter plot shows a strong positive correlation between hours studied and test scores. Which statement best describes this relationship?

Mean, Median, Mode

The ages of 7 students are: 13, 14, 14, 15, 16, 16, 16. What is the mode?

Probability

A bag contains 4 red, 3 blue, and 5 green marbles. What is the probability of randomly selecting a blue marble?

Quadratic Functions

What are the x-intercepts of y = x² − 5x + 6?

Radicals & Square Roots

Which of the following is equal to √48?

Slope-Intercept Form

What is the y-intercept of the line y = −3x + 7?

Parallel & Perpendicular Slopes

A line has a slope of 2/3. What is the slope of a line perpendicular to it?

Surface Area

What is the surface area of a rectangular prism with length 5, width 3, and height 4?

Triangle Congruence

Two triangles have two pairs of equal sides and the included angle equal. Which congruence postulate applies?

Equations of Circles

What is the center and radius of the circle (x − 3)² + (y + 2)² = 25?

Absolute Value

What is |−15| + |8|?

Order of Operations

What is the value of 3 + 4² ÷ 2 − 1?

Combining Like Terms

Simplify: 5x² + 3x − 2x² + 7 − 4x

Number System

Which set of numbers is listed in order from least to greatest?

Box Plots & Data Distribution

A box plot shows a minimum of 10, Q1 of 20, median of 30, Q3 of 45, and maximum of 60. What is the interquartile range (IQR)?