Geometry
Point P is located at (3,−4) on the coordinate plane.
What are the coordinates of P′ after a reflection across the x-axis?
(3,4)
Between which two consecutive integers does the square root of 50 lie?
7 and 8
Find the slope of the line that passes through the points (−2,4) and (3,14).
2
Determine the equation of the line in slope-intercept form (y=mx+b) based on the table below:
x 0 2 4
y 4 8 12
y = 2x + 4
Find the distance between the points (2,3) and (5,7) on a coordinate plane using Pythagorean Theorem.
5 units
Point P is located at (3,−4) on the coordinate plane.
What are the coordinates of P′ if the original point P is translated 5 units left and 2 units up?
(−2,−2)
Solve the following equation for x:
x = 20
Calculate the slope of the line passing through the points (−4,6) and (2,−3).
−3/2 OR −1.5
A line has a slope of −3 and passes through the y-axis at (0,5). Write the equation of the line in slope-intercept form.
y = −3x + 5
Calculate the volume of a cylinder with a radius of 4 cm and a height of 10 cm. Use 3.14 for π.
502.4 cm3
Lines L and M are parallel and cut by a transversal line T. If angle ∠1 measures 115∘, find the measure of angle ∠2 if ∠1 and ∠2 are alternate interior angles.
115∘ (Alternate interior angles are congruent)
Determine if the following equation has One Solution, No Solution, or Infinite Solutions:
2x + 3 = 2x + 7
No Solution
Which of the following describes the line 2x + 3y = 12?
A) It crosses the y-axis at 4 and the x-axis at 6.
B) It crosses the y-axis at 6 and the x-axis at 4.
C) It has a slope of 2.
A
A plumber charges a flat fee of $50 to visit a house plus $40 per hour for labor.
Write an equation in slope-intercept form to model the total cost (y) for x hours of work.
y = 40x + 50
Solve the system of equations by graphing (Slope-Intercept is your friend).
(6,4)
A triangle has interior angles measuring 45∘, x∘, and (2x+15)∘.
Find the value of x AND THEN find the measure of the third angle.
x = 40
The Third angle = 95 degrees
Solve the system of linear equations:
Show your answer as an ORDERED PAIR.
(1,3)
Solve for x:
x = 5
Rewrite the following equation in slope-intercept form (y=mx+b) to determine the slope and y-intercept:
y = −2x + 8
A local ice cream shop, "The Scoop," is designing a new waffle cone. They want the cone to hold exactly 150.72 cm3 of ice cream when filled perfectly level to the top (no scoop on top yet!).
If the radius of the cone must be 4 cm, what is the height of the cone?
(Use 3.14 for π).
9cm
A ladder is leaning against a wall. The bottom of the ladder is 6 feet away from the base of the wall, and the top of the ladder hits the wall at a height of 8 feet. How long is the ladder?
10 feet
Rectangle JKLM is graphed on a coordinate plane with the following vertices: J(2,4) K(6,4) L(6,10) M(2,10).
Perform a dilation centered at the origin (0,0) with a scale factor of k=1/2.
What are the new coordinates for L′?
L′: (3,5)
Solve for m:
m = 9
Find the x-intercept and y-intercept for the equation:
x-intercept: (10,0)
y-intercept: (0,−6)
Triangle ABC is plotted on the coordinate plane with the following vertices:
A(3,2) B(6,2) C(3,5)
What are the new coordinates of vertices A′, B′, and C′?
Point A′: (−2,3)
Point B′: (−2,6)
Point C′: (−5,3)