Percents
Amelia is buying dinner for family. She wants to tip 10% on her $105.00 (after tax) bill. How much will the total meal cost after tip?
$115.50
Write the expanded version of:
-1/2*(-2x + 4y)
x - 2y
What kinds of angles are these? What do they add up to?
Slide 4
Supplementary Angles
180˚
Joseph has a spinner with 5 sections and 2 of them are blue. Marnie has a spinner with 8 sections, and 3 of them are blue. Whose spinner is more likely to land on blue?
Joseph
Solve for x.
6
What situation could be represented by the expression 1.2(0.6x)?
Any 40% decrease followed by a 20% increase
Solve the inequality:
3x + 8 ≤ 92
x ≤ 28
What is the measure of angle P?
Slide 5
45˚
A passenger train has tickets available for 12 window seats and 8 aisle seats. The next person to buy a ticket will be randomly assigned to one of those seats. What is the probability that the next person will be assigned to an aisle seat? Express your answer as a fraction.
2/5 OR 8/20
A seventh grade ELA teacher wants to order books for all the seventh grade classes. He wants to determine the favorite type of book among the seventh grade students. What is an appropriate sample to survey?
Deb was selling a chair for $100. She took off 30% of the price, but then decided to mark it back up by 30%. What is the new price?
$91
Are the expressions 15x-45 and –3(15-5x) always, sometimes, or never equivalent? Explain how you know.
Always
What is the volume of the prism?
Slide 6
70 ft3
How many unique outcomes can you get from rolling a die 3 times?
63 OR 6*6*6 OR 216
Elena gets paid $60 every time she babysits, and she donates the same amount of this money to charity every time she gets paid. Elena will babysit 6 times this month, and she wants to make sure she keeps at least $420 from this month’s earnings.
The inequality 6(60 – x) ≥ 420 represents this situation. Solve this inequality and explain what the solution represents in this context.
x ≤ 10
She can donate $10 or less each time she gets paid to keep $420 by the end of the month.
Terry increased the size of his garden this summer. He increased the length by 50% and the width by 20%. How much did the area of his garden change?
80%
Jeremiah generated an equivalent expression to 9-45x-6 using the steps below.
9 – 4(5x - 6)
9 + (-4)(5x + -6)
9 + (-20x) + -6
3 – 20x
Identify the mistake that Jeremiah made and explain how to correct it.
He did not distribute the -4 properly. The correct expression is:
33 – 20x
What is the measure of angle A?
Slide 7
30˚
At West College, students are randomly assigned to one of 20 dormitories and one of 6 dining rooms. Kharleen likes 6 of the dormitories and 2 of the dining rooms. What is the probability that she is assigned to both a dormitory and a dining room that she likes?
10%
The numerical value of the volume of a cube is twice the numerical value of the cube’s surface area. What is the length of an edge of the cube, in units?
12 units
Sylvia earns a commission of 1.5% on the selling price for each car that she sells. Last year, she sold 106 cars and earned $19,716 in commission. Determine the average selling price, in dollars, of the cars she sold last year.
$12,400
What must you subtract from -2(2/3a – 4b) so that it is equivalent to 3(2/3a+3b) for all values of a and b?
-5(2/3a + 1/5b)
-10/3a – b
How many sides does a regular polygon have if its exterior angles have a measure that is one-fourth the measure of its interior angles?
10 Sides
Bonus: What is this called?
There is a 20% chance of snow on Tuesday and a 30% chance of snow on Wednesday. What is the probability that it will not snow on either day? Express your answer as a percent.
56%
When a water tank is 30% full, it contains 27 gallons less than when it is 20% empty. Write an equation to represent f, the amount of water in the tank in gallons, when the tank is full.
0.3x = 0.8x - 27
OR: Equivalent
Bonus: What is x?