Geometry and Algebra Concepts

What is the process to bisect a line segment?

• Use a compass to draw a circle around the segment.

• Draw a straight line from one endpoint to the other.

• Draw arcs from both endpoints and connect the intersection points to find the midpoint.

• Measure the length and divide by two.

How do you construct a triangle given three sides?

• Construct a triangle using the triangle inequality theorem and a compass and straightedge.

• Connect the three points randomly without checking side lengths.

• Use a protractor to measure angles instead of sides.

• Draw a triangle using only a ruler without measuring sides.

Describe how to construct an angle of 90° using a compass and ruler.

• To construct a 90° angle, draw a line, then use a compass to create arcs from both endpoints, intersecting at a point, and connect to form the angle.

• Draw a circle and mark a point on the circumference to create the angle.

• Use a protractor to measure and draw the angle directly.

• Draw two parallel lines and connect them to form the angle.

What is the method to copy a given angle using a compass?

• Use a compass to transfer the angle by drawing arcs from the original angle and replicating them at the new location.

• Fold the paper to create the same angle at the new location.

• Use a protractor to measure the angle and then draw it.

• Draw a straight line from the original angle to the new location.

Generate the first five terms of the linear sequence starting with 2 and increasing by 3.

• [3, 6, 9, 12, 15]

• [2, 4, 6, 8, 10]

• [1, 4, 7, 10, 13]

• [2, 5, 8, 11, 14]

What is the nth term of the arithmetic sequence 5, 8, 11, 14?

• 6n - 3

• 4n + 1

• 2n + 5

• 3n + 2

Express the function f(x) = 3x + 2 in mapping notation.

• {x | f(x) = 3x - 2}

• {x | f(x) = 2x + 3}

• {x | f(x) = x + 2}

• {x | f(x) = 3x + 2}

What is the law of indices for multiplying powers with the same base?

• a^m * a^n = a^(m/n)

• a^m * a^n = a^(m*n)

• a^m * a^n = a^(m+n)

• a^m * a^n = a^(m-n)

Convert the whole number 2500 into standard form.

• 2.5 x 10^2

• 25 x 10^2

• 250 x 10^1

• 2.5 x 10^3

Convert the decimal number 0.0045 into standard form.

• 0.45 x 10^-2

• 4.5 x 10^3

• 45 x 10^-4

• 4.5 x 10^-3