ACCURATELY draw these shapes:
1. Cone
2. Pyramid
3. Sphere
4. Cylinder
(responses will vary)
What is an exponent?
An exponent shows us that we need to multiply a number times itself. It can be positive or negative, whole or a fraction.
What is slope?
What is y-intercept?
Slope is the rate of change/rise over run/ M. It tells us how much Y will increase/decrease every time X goes up 1.
Y-intercept is our initial value/Y when X=0/B. It tells us what Y is when we are starting, if we are graphing a real-world problem.
Define independent variable. Give an example.
Define dependent variable. Give an example.
X. The variable that changes on its own. For example, time or age, etc.
Y. The variable that changes BECAUSE OF the independent variable. For example, distance, height, etc.
Annie drinks at most 3 cups of coffee per day. Which inequality represents the number of cups (c) Annie drinks per day?
3. c ≤ 3
What is the difference between volume and surface area?
Volume is the space inside a shape.
Surface area is the faces/outside of the shape
Is the point (8, 3) a solution to the equation y = -2x + 7?
No.
3 = -2(8) + 7
3= -16 + 7
3 = -9
Calculate the slope of a line that goes between the points (2, 7) and (12, 2).
M = -5/10 or -1/2
Describe the relationship shown below:
Bonus: what is the y-intercept?
Negative and strong
Write the following decimals as fractions:
1. .8
2. .666666667
3. .25
1. 8/10 or 4/5
2. 2/3
3. 1/4
If the area of a circle is 81π in², what is its diameter?
Area of a circle = pi * r2
4. 18 in
(diameter = 2 radius!)
How many solutions does this set of equations have?
y = -4 + 2x +8 & y = 5x-3x+4
Zero, one, or infinite?
infinite!
A line passes through the points (3, 6) and (5, 10). Write an equation of this line in y=mx+b form
y = 2x + 0
Describe the relationship shown below
NO RELATIONSHIP
√17 is closest to what whole number?
The box below has a perimeter of 40 inches. Find the area.
The area is 96 in2
Can we simplify these expressions? Write Yes or No for each.
1. 53 x 54
2. 62 x 79
3. 42 x 32
1. Yes - they have the same base
2. No
3. Yes - they have the same exponent
A line has a slope of -5/3 and a point at (-2, 6). Write the equation of this line in y=mx+b form
y = mx + b
6 = -5/3 (-2) + b
6 = 10/3 + b
6 - 10/3 = b
8/3 or 22/3= b
y = -5/3x + 8/3
Look at the spinner below:
a. What is the probability of landing on blue OR yellow?
b. What is the probability of landing on NOT red?
a. 3/8
b. 4/8 or 1/2
What is 8.43 x 105 in standard notation?
843,000
Name three facts about RIGHT triangles
1. They have 3 sides and three angles
2. They have a 90 angle
3. The longest side is called the hypotenuse
4. You can find a missing side using a2+b2=c2
5. The area = 1/2bh
6. ...
53 x 56 / 54 = ?
55
A line has a slope of 1/4 and a y-intercept of 3. Name three points on this line.
many possible responses.
Deann flips a coin. Then DonDon spins a spinner that has four sections (see below)
What is the probability that Deann gets heads AND DonDon lands on blue?
heads = 1/2
blue = 1/4
heads AND blue = 1/2 * 1/4 = 1/8
Describe the transformations that occurred to go from the blue triangle to the green triangle.
The triangle was REFLECTED across the Y-axis (line x=0). Then it was TRANSLATED down 8 units.