Slope-a-Dope
Find the slope using points (2,3) and (4,7).
2
Classify the number as either rational or irrational. sqrt16
Rational
Write 560000 in scientific notation
5.6*10^5
Is this a function? {(1,2), (2,3), (1,4)}
No
Graph the following on your whiteboard to find the solution.
y=2x
y=x+3
(3, 6)
Find the missing interior angle of the triangle:
50o, 40o, Xo
x= 90
Solve:
3x+5 = 14
x = 3
Simplify and leave with the base "2":
2^3*2^4
2^7
What type of transformation is described as a "turn"?
Rotation
As x increases, y decreases.
This association is positive or negative?
negative
What is the probability of rolling a 4 on a fair 6 sided dice?
1/6
Write an equation with a slope of -3 and a y intercept of 5.
y=-3x+5
Which number is greater? 4.3 or sqrt20
sqrt20
Multiply:
(3 × 10^4)(2 × 10^3)
6*10^7
What "test" must a graph pass in order for it to be considered a function?
vertical line test.
Solve by graphing
y=2x
y= x
(0,0)
Use the pythagorean theorem to solve for the hypotenuse in a triangle with legs measuring 6 centimeters and 8 centimeters.
10 centimeters.
2(3x - 1) = 4x + 10
x=3.5
Simplify:
9x^4y^2
9x^4y^2
Triangle ABC is located at A (4, 3) B (4, 7) C (14, 7).
Translate triangle ABC right 3, up 2. What is the new A'?
(7, 5)
In the context of sales, what does the slope in an equation y=2x+5 represent, when x is the number of units, y is the total profit, and 5 is the starting amount.
The cost per unit.
A bag has 5 red, 3 blue, and 2 green marbles. What is the probability of pulling a blue marble?
3/10
Graph y=2x-1 on your whiteboard.
*teacher will check graphs.
Place in order from greatest to least: √10, 3.2, π
3.2, √10, π
Divide: (8*10^6)/(2*10^2)
4*10^4
What is the output for x = 4 in f(x) = 3x - 5?
f(4)=7
How many solutions
y=2x+1
y=2x-3
None, same slope so they are parallel. Parallel lines have no solution.
Find the missing leg:
5, b, 13
12
x - 4 ≤ 7
x ≤ 11
(x^3 * y^2)^2 / x^2
x^4y^4
When reflecting a figure over the y axis, what happens to the coordinates? What is the "rule"?
Y stays the same, X changes to the opposite sign.
What does the y intercept represent in an equation?
the starting value or fixed cost.
You flipped 2 coins. What is the probability of landing on heads with both coins?
1/4
A water tank initially holds 100 gallons and is draining at a constant rate of 2 gallons per minute. Let x represent the time in minutes since draining began, and let y represent the remaining gallons of water.
Write a linear equation y=mx+b that models this situation.
Use your equation to determine after how many minutes the tank will be completely empty.
y=-2x+100
50 minutes
Is π rational or irrational? Why?
Irrational.
It never terminates or repeats.
It cannot be expressed as a fraction without estimation.
A city uses 3.5 × 10^7 gallons of water per day. How much water does the city use in one year (365 days)?
1.28×10^10
gallons per year
Given: f(x) = -2x + 10. For what x is f(x) = 0?
x = 5
How many solutions?
y= 3x-4
2y=6x-8
Infinite.
Same slope, same y intercept, same line.
If a triangle has side lengths of 7, 24, and 25
is it a right triangle?
yes
4(2x−3)+7=3(3x+1)−2
x=-6
(3a^(-2)b^4)^0(2a^3b^(-1))^(-2)
b^2/(4a^6)
Triangle MNP has vertices M(0, 0), N(4, 2), and P(2, 6). It is dilated from the origin by a scale factor of 1.5 to create triangle M′N′P′.
Are the triangles similar or congruent? Justify your answer.
Similar
same shape, different size. Same angles, different side lengths. Proportional. Etc.
What is a line of best fit?
A line that goes through the center of the data and represents a good estimate of the data. An equal number of points above and below.
You have a spinner with equal parts blue and red.
You also have a dice with 6 sides.
What is the probability of spinning a red AND rolling a 6?
1/12
A bus company charges a fixed rate of $50 for renting the bus, plus $3 per mile traveled.
Write the equation for the total cost C as a function of the number of miles mmm. Then, calculate the cost of a 40-mile rental.
C=3m+50
$170
Explain if 0.121221222... is rational,Irrational
Irrational.
It does not repeat in a pattern that we can see.
Which number is greater: 6.1 × 10^5 or 5.9 × 10^6 ?
5.9 × 10^6
A table shows the following x values: 1, 2, 3 and the following y values 3, 6, 12.
Is this a linear function?
No. The rate of change is not constant.
Which ordered pair is the solution for the following system of equations? y=3x-8 y=4x+10
A. (-20,-68)
B. (-15,-50)
C. (-18, -62)
D. (-17, -61)
(-18,-62)
A wheelchair ramp rises vertically 2 feet over a horizontal distance (base of the ramp) of 12 feet. What is the length of the ramp (diagonally), to the nearest tenth of a foot?
12.2 feet
5x+4−2(3x−1)=4(x+1)−3
x=1
((4x^(-2)y)^3 * (2x^4y^(-3))^2) / (8x y^(-1))^2
4/y
Point A(−3, 2) is rotated 90° counterclockwise about the origin. What is the new point?
(-2,-3)
Define outliers and clusters.
outliers are points that lie outside of the normal data set. They do not follow the trend set by the data.
Clusters are groups of data points that "cluster" in one area of the graph and show a concentrated area of data.
A bag has 2 red marbles, 3 green, and 3 blue.
A marble is drawn and is replaced. A second marble is drawn. What are the odds that the first marble is red and the second is blue?
3/32