Linear Equations and Graphs
What is the ordered pair of a solution of the equation?
y = 4x - 7
A) (2,1)
B) (4,9)
C) (2,1) & (4,9)
C) (2,1) & (4,9)
*Daily Double*
Which of the following measurements is greater?
A) 0.5 liters
B) 400 milliliters
A) 0.5 liters
How long has Sarah been in Veritas?
A) 3 years
B) 4 years
C) 5 years
D) 6 years
D) 6 years
(-a + 1) (5a + 6) =?
Write the answer in standard form.
-5a^2 - a + 6
What is the quadratic formula?
I am pretty sure there is a song...If you sing the song, I'll double your points. :)
If ax^2 + bx + c = 0 and a is not = 0,
x = (-b +- sqrt((b^2)-4ac))/2a)
What is the ordered pair of a solution of the equation?
y+ 5 = 2(x + 1)
A) (5,10)
B) (-1,-5)
C) (5,10) & (-1,-5)
B) (-1,-5)
15,000 meters = ? kilometers
15 km
What sport did Sarah do in middle school? (Hint: She had constant pain in her shoulders.)
Competitive swimming. Essentially, I was goldfish.
Rewrite the expression below by taking out its greatest common factor. Use parenthesis.
4x^2 + 16x - 4 =?
4 (x^2 + 4x - 1)
An object is launched from a platform. Its height (in meters), x seconds after the launch, is modeled by:
h(x) = -5(x-4)2 + 100
How many seconds after being launched will the object hit the ground?
h(x) = 0
x = 10, -2
x = 10 seconds.
What is the slope of y = 1?
0
The formula for the distance traveled over time t and at an average speed v is v x t.
Amit ran for 40 minutes at a speed of about 5 kilometers per hour.
What calculation will give us the estimated distance Amit ran in kilometers?
5 x (40/60)
What is Sarah's irrational fear?
A) Snakes
B) Spiders
C) Dogs
D) Heights
E) All of the above
E) All of the above
Factor completely. (HINT: Use the "difference of squares" to solve.)
64x^2 - 144x + 81
a^2 - 2(a)(b) + b^2 = (a - b)^2
144 = 2(8x)(9)
(8x)^2 - 2(8x)(9) + (9)^2 = (8x - 9)^2
(8x - 9)^2
*Daily Double*
Lauren graphed the relationship between how many days had passed since she planted a cactus and its height (in centimeters).
What feature of the graph represents how tall the cactus was when Lauren planted it?
Time is usually the independent variable, x.
Thus, y-intercept.
What is the equation of the horizontal line through (1,9)?
y = 9
In physics, work is defined as F x D where F is the force applied over a distance of D.
A box is dragged across 20 meters with a force of 60 Newtons, which are (kg x m)/ s^2.
What calculation will give us the work done, in joules (which are (kg x m^2)/ s^2)?
20 x 60
*Daily Double*
What is Sarah's Kahoot Name?
SleepyKirby ;)
*Daily Double*
What expression represents the width of the rectangle?
The rectangle below has an area of x^2 - 144 meters and a length of x + 12 meters.
(HINT: Use the "difference of squares" to solve.)
a^2 - b^2 = (a + b) (a - b)
(x)^2 - (12)^2 = (x + 12) (x - 12)
x^2 - 144 = (x + 12) (x - 12)
Width = x - 12 meters
Find two values of x that is a solution to the equation:
(x^2 + 3)^2 + 21 = 10x^2 + 30
x =?
x = 0, -2, 2
*Daily Double*
As a certain engine's rotation speed increases, its temperature increases at a constant rate.
The table compares the engine's rotation speed (in cycles per second) and its temperature (in degrees Celsius).
(Word doc for table)
What is the increase in temperature that comes with an increase of 1 cycle per second in the rotation?
rise = temperature; run = cycles
change in Temperature/ change in Rotation =
1.6/2 = 0.8
The formula for average speed when traveling a distance of d over time is d/t.
Jeff and Cameron are arguing about which one of them is faster. Jeff says, "I can run 7 kilometers per hour!" and Cameron says, "I can run 100 meters per minute!"
Who is faster?
Jeff
What is Sarah's major in college?
A) Graphic design
B) Engineering
C) Nursing
D) Architecture
C) Nursing
Karen was trying to factor 6x^2 to 10. She found that the greatest common factor of these terms was 2 and made an area model:
(Word doc for model)
What is the width of Karen's area model?
6x^2/2 = 3x^2
10/2 = 5
Width = 3x^2 + 5
Solve.
6 - 6x^2 = 3x
x = (1+-sqrt(17)/-4)