Practice Test C

Rational & Irrational Numbers

Between which two consecutive integers does √50 lie?

Slope

A line is horizontal. What is its slope?

Linear Equations

Solve for x: (x/3) + 5 = 11

Slope-Intercept Form

A line passes through (0, −4) and has a slope of 3. Which equation represents this line?

Exponents

What is the value of (2³)⁴?

Scientific Notation

Multiply: (3 × 10⁴) × (2 × 10³)

Pythagorean Theorem

Which set of numbers is a Pythagorean triple?

Volume

A rectangular prism has a volume of 360 cm³. Its length is 10 cm and its width is 6 cm. What is its height?

Functions

Which of the following represents a linear function?

Two-Way Tables

A survey asked 100 people if they prefer coffee or tea, and whether they are morning or evening people. 40 prefer coffee and are morning people. 20 prefer coffee and are evening people. 25 prefer tea and are morning people. 15 prefer tea and are evening people. What is the probability that a randomly selected person prefers tea, given that they are a morning person?

Probability

A standard deck has 52 cards. What is the probability of drawing a king or a heart?

Mean, Median, Mode

A data set is: 4, 7, 7, 9, 12, 15, 20. An outlier of 100 is added. Which measure of center is most affected?

Scatter Plots & Line of Best Fit

A scatter plot shows data points that are widely scattered with no clear pattern. What type of correlation does this represent?

Box Plots & Data Distribution

Two box plots show test scores for Class A and Class B. Class A has a median of 75 and an IQR of 20. Class B has a median of 75 and an IQR of 40. What can you conclude?

Percent

A population of 2,400 bacteria increases by 15% each hour. What is the population after 1 hour?

Proportional Relationships

On a map, 1 inch represents 50 miles. Two cities are 3.5 inches apart on the map. What is the actual distance between the cities?

Graphing Linear Inequalities

A student has at most $30 to spend on notebooks (n) at $3 each and pens (p) at $2 each. Which inequality represents this situation?

Transformations — Translation

Triangle ABC has vertices A(1,2), B(3,2), and C(2,4). After a translation of (x+3, y−1), what are the new coordinates of vertex C?

Angle Relationships

An exterior angle of a triangle measures 110°. One of the non-adjacent interior angles measures 65°. What is the measure of the other non-adjacent interior angle?

Radicals & Square Roots

Which of the following is equivalent to ∛64?

Quadratic Functions

The graph of y = (x − 2)² + 3 has its vertex at which point?

Surface Area

A square pyramid has a base side length of 6 cm and a slant height of 5 cm. What is the total surface area?

Triangle Congruence

In triangles PQR and XYZ, PQ = XY, QR = YZ, and PR = XZ. Which postulate proves the triangles congruent?

Equations of Circles

What is the radius of the circle x² + y² − 6x + 4y − 3 = 0?

Parallel & Perpendicular Slopes

Line j has the equation 4x + 2y = 8. What is the slope of a line parallel to line j?

Absolute Value

Which number line correctly shows the solution to |x| < 3?

Order of Operations

Evaluate: 18 ÷ (2 + 1) × 3 − 4²

Combining Like Terms

Factor completely: 6x² − 9x

Number System

Which of the following is a rational number?

Systems of Equations

A system of two linear equations has infinitely many solutions. What does this mean graphically?