Worksheetsmath reviewer
Total questions: 20
Worksheet time: 10mins
What should be the degree of P(x) to make it a polynomial function?
A. a negative integer
B. a nonnegative integer
C. any number
D. any number except 0
Question: How should the polynomial function y = 6x² + 2x³ - 4x + 5x⁴ - 3 be written in standard form?
A. y = 6x² + 5x² - 4x - 3 + 2x³
B. y = 5x⁴ + 2x³ + 6x² - 4x - 3
C. y = 2x - 3 - 4x + 5x + 6x²
D. y = -4x - 3 + 2x² + 5x + 6x²
Question: What are the end behaviors of the graph of y = 2x⁴ - x³ + x - 3?
A. falls to the left and right
B. falls to the left, rises to the right
C. rises to the left and right
D. rises to the left, falls to the right
Question: What is an angle whose vertex is on the circle and the sides are two chords of the circle?
A. central angle
B. inscribed angle
C. right angle
D. vertical angle
Question: What is an angle whose vertex is the center of the circle and whose sides are two radii of the circle?
A. central angle
B. inscribed angle
C. right angle
D. vertical angle
Question: What angle is inscribed in a semicircle?
A. central angle
B. inscribed angle
right angle
vertical angle
Question: Which of the following lines/line segments intersects a circle at exactly one point?
diameter
radius
secant
tangent
Question: Which of the following lines/line segments intersects a circle at exactly two points?
diameter
radius
secant
tangent
Question: What is the distance between two points whose coordinates in the Cartesian Plane are (-4, 6) and (0, 6)?
3 units
4 units
9 units
16 units
Question: Which of the circles has a center located at the third quadrant of the coordinate plane?
(x - 3)² + (y + 1)² = 9
(x - 3)² + (y + 1)² = 9
(x + 3)² + (y - 1)² = 9
(x + 3)² + (y + 1)² = 9
Question: What are the coordinates of the center of the equation of the circle x² + y² - 4x - 14y + 17 = 0?
(2, 7)
(2, -7)
(-2, 7)
(-2, -7)
Question: A demographer predicts that the population, P, of a town t years from now can be modeled by the function P(t) = 6t² - 5t² + 200t + 12000. What will the population of the town be 3 years from now?
12, 951
129, 510
1, 295, 100
12, 951, 000
Question: Three students, Mia, Noah, and Liam, live in a small town where their houses are positioned on a coordinate grid. Mia's house is located at (-4, 0), Noah's house at (4, 0) and Liam's house at (0, 3). One day, they decide to meet each other. (In the map, each unit is equivalent to 1 km.) If Mia walks first to Noah's house, what is the distance that Mia walks to Noah's house?
13km
10km
8 km
5 km
Question: Which of the following is the distance formula?
d = √((x₂ + x₁)² + (y₂ + y₁)² )
d = √((x₂ + x₁)² - (y₂ + y₁)² )
d = √((x₂ - x₁)² + (y₂ - y₁)² )
d = √((x₂ - x₁)² - (y₂ - y₁)² )
Question: What is the standard form of the equation of a circle whose center is at (h, k)?
A. (x + h)^2 + (y + k)^2 = r^2
B. (x + h)^2 + (y - k)^2 = r^2
C. (x - h)^2 + (y - k)^2 = r^2
D. (x - h)^2 - (y - k)^2 = r^2
Question: How long is the radius of a circle whose equation is (x - 2)^2 + (y - 3)^2 = 5^2?
5 units
10 units
25 units
50 units
Question: What are the coordinates of the center of a circle whose equation is (x - 2)^2 + (y - 3)^2 = 5^2?
A. (-3, -2)
B. (-2, -3)
C. (2, 3)
D. (3, 2)
Question: Given an equation of a circle, what is the first step to sketch its graph?
Connect points to draw the circle.
Determine the center and the radius.
Locate the center on the coordinate plane.
None of these
Question: Which part of a circle is NOT needed to sketch its graph?
Center
Chord
Radius
None of these
Question: What proof uses figures on a coordinate plane to prove geometric properties?
Coordinate proof
Direct proof
Indirect proof
Two-column proof
