Formulas
What is the Surface Area formula for a rectangular prism?
SA = 2LW + 2HL + 2HW
Complementary angles
A bag contains 4 red marbles, 5 blue marbles, and 3 green marbles. A student randomly pulls a marble from the bag, records its color, and puts it back. Then, they randomly pull a second marble.
Question: What is the probability that the student pulls a red marble first and a green marble second? Express your answer as a fraction in simplest form.
A bakery box contains bagels, muffins, and croissants.
For every 4 bagels, there are 3 muffins.
For every 2 muffins, there are 5 croissants.
Question: If there are 75 croissants in the bakery box, how many bagels are in the box?
40 bagels
2/3(6x-9) = 2x + 10 - 4x
What is the value of x?
x = 8
What is the slope formula?
m = y2 -y1/ x2 - x1
A triangle that has two congruent sides is known as what type of triangle?
Isosceles
A bag contains 4 red marbles, 5 blue marbles, and 3 green marbles. A student randomly pulls a single marble from the bag.
Question: What is the probability that the student pulls a red marble or a green marble? Express your answer as a fraction in simplest form.
P( red or green) = 7/ 12
Two phone repair shops charge for screen replacements at a constant proportional rate.
Shop A charges $270 for 3 screen replacements.
Shop B's pricing can be determined by the equation y = 88x, where x represents the number of screens replaced and y represents the total cost in dollars.
Question: Which shop offers the cheaper price per screen replacement, and by how much?
The total bill for Sophia's dinner at a restaurant comes to $39.95. She wants to leave a 15% tip for her server.
Question: Approximately how much tip should Sophia leave?
about $6
What is the area of a circle?
A = pie x r^2
If two angles, angle ABC ( 4x - 30) and angle QRS ( 2x + 50) are vertical angles, what is the value of x?
40 Degrees
A bag contains 4 red marbles, 5 blue marbles, and 3 green marbles. A student randomly pulls a marble from the bag, records its color, and does not put it back. Then, they randomly pull a second marble.
Question: What is the probability that the student pulls a red marble first and a green marble second? Express your answer as a fraction in simplest form.
1/ 11
During a holiday sale, a electronics store offers a 20% discount on all headphones. After the discount is applied, a 6% sales tax is added to the sale price. Maya buys a pair of headphones and pays a final total of $101.76.
The Original Price = $120
Consider the linear expression below:
Question: Factor the linear expression completely using the greatest common factor.
6( 2x-5)
what is the formula for Volume of a cube?
v = s^3
Two angles are supplementary. The measure of the larger angle is 15 degrees more than twice the measure of the smaller angle. Find the measure of both angles.
smaller angle = 55 degrees
larger angle is 125 degrees
The 7th-grade student council is planning a "Build-Your-Own Taco" lunch fundraiser. The menu choices are listed below:
A soft flour tortilla or a crispy corn shell
Protein: Grilled chicken, seasoned beef, or black beans
Cheese: Shredded cheddar or pepper jack
Salsa: Mild tomato salsa, spicy green salsa, or corn salsa
What is the total number of unique taco combinations a student can create?
36 possible combinations
A boutique clothing store owner purchases a designer jacket from a wholesaler for $80.
First, the owner marks up the wholesale price by 60% to determine the retail price.
A few months later, the jacket hasn't sold, so the owner puts it on the clearance rack with a 25% discount off the retail price.
Question: What is the final clearance sale price of the jacket? Is the store owner still making a profit compared to the original $80 wholesale cost?
$96
A quality control inspector at a toy factory tests a random sample of action figures from the assembly line to check for defects. Her results are listed below:
83 action figures were perfect with no defects.
12 action figures had a minor paint defect.
5 action figures had a broken joint.
Question: Based on these results, what is the experimental probability that an action figure chosen at random has a defect? If the factory produces 4,000 action figures tomorrow, how many should they expect to have a defect?
4,000 x .17 = 680!!!!
what is the formula for surface area of a cylinder?
SA= 2( pie x r^2) + (pie x D)h
OR 2( pie x r^2) + 2( pie x r) h
Two adjacent angles form a right angle. One angle measures (3x - 5) degrees and the other measures (2x + 10) degrees. Find the value of x.
x = 17
KevinHe sold 7 8 of the ornaments he made.
He gave 10% of the ornaments to a charity.
He kept the remaining 8 ornaments to give as presents.
How many total ornaments did he make?
320
A recipe for a large batch of lemonade requires 6 lemons for every 4 cups of water.
Question: If a chef uses 15 lemons to make the same recipe, how many cups of water will they need?
x = 10 cups of water
A backyard swimming pool is being drained for the winter at a constant rate. After 2 hours of draining, the pool contains 10,500 gallons of water. After 5 hours of draining, the pool contains 8,400 gallons of water.
Question: What is the rate of change of the water in the pool per hour? If the pool continues to drain at this exact same rate, how many gallons of water will be left in the pool after 8 hours?
6, 300 Gallons