Algebraic Thinking
6(7 + x) + 5x
42 + 11x
A bag contains 5 red, 8 blue, and 7 green marbles. If you pick one at random, what is the probability (as a simplified fraction) that it is not green?
13/20
You have $50 to spend at the fair. Admission is $10, and each ride costs $3. Write and solve an inequality to find the maximum number of rides you can go on.
13 rides
10 +3x <=50
x<=13.33
A table shows that 3 pounds of apples cost $6.00 and 5 pounds cost $10.00. What is the Constant of Proportionality (k)?
$2.00 per pound k=y/x
A meal costs $42.00. If you want to leave a 20% tip, what is the total amount you will pay?
$50.40$ ($8.40 tip + $42.00 meal)
-(0.5x - 4) = 19
x = -30
A survey of 40 students found that 12 prefer pepperoni pizza. If there are 640 students in the school, how many would you predict prefer pepperoni?
192 students
Ms. Davis is going on a trip to St. Thomas. Her total trip will take 4.5 hours to travel a distance of 405 miles. How far did she travel after 2 hours?
180 miles
On a coordinate plane, a line represents a proportional relationship. What two specific things must be true about the line?
1. It must be straight.
2. It must pass through the origin (0,0).
Last year, a pair of sneakers cost $80. This year, the price increased to $100. What is the percent increase?
25% (Difference of $20 / Original 80 = 0.25)
4 - 5(y + 6)
-5y -26
You flip a fair coin and roll a standard 6-sided die. What is the probability of the coin landing on Heads and the die landing on a number greater than 4?
2/12 or 1/6
A group of 4 friends goes out to BBQ's. The price of the meal before tax is $125.If the tax is 9%, and decide to tip 10% to the waiter. What is total price of the bill? round to the nearest cent.
$148. 88
A recipe calls for 1/2 cup of sugar for every 2/3 cup of flour. How many cups of sugar are needed for 1 cup of flour?
3/4 cups of sugar
1/2 / 2/3
You put $500 into a savings account with a 3% simple interest rate. How much total money will be in the account after 4 years?
$560
I= 500 x 0.03 x 4 = 60
500 + 60
6a - (a - b) + c
5a + b + c
Two groups of students recorded their heights. Group A has a Mean Absolute Deviation (MAD) of 2.5, and Group B has a MAD of 5.1. Which group’s heights are more consistent , and why?
Group A, because they have less variability (spread) in the data.
Ms. Guy & Ms. Nixon are running a marathon to support breast cancer awareness. Guy is running at a constant rate of 9 miles per hour, and Nixon is running at a constant rate of x miles per hour. If they ran a total of 101.5 miles in 5 hours, at what rate did Nixon run?
11.3 miles per hour
A scale drawing of a room uses the scale 1cm =4ft. The room in the drawing is 5cm by 6 cm. What is the actual area of the room?
480 sq ft
20 x 24
A student estimated that a line was 15 cm long, but the actual length was 12.5 cm. What was the student's percent error?
20%
Error of 2.5 / Actual 12.5 =0.2
x=-5.25 or -5 1/4
To estimate the number of fish in a pond, a scientist tags 50 fish. Later, they catch 80 fish and find that 4 of them are tagged. Based on this sample, what is the estimated total population of fish in the pond?
about 1,000 fish.
A scale drawing of a playground is 7 inches wide by 10 inches long. The actual playground is 110 yards long. What is the area of the actual playground in square yards?
8,470 sq ft
Store A sells 12 oz of juice for $1.50. Store B sells 18 oz of the same juice for $2.16. Which store has the lower unit price, and by how much?
Store A: $0.125/ oz, Store B: $0.12/oz.
Difference: $0.005 if rounded to $0.01
After a 30% discount, a video game costs $35. What was the original price of the game before the discount?
$50
(If 30% off, $35 is 70% of the whole. 35 /0.70 = 50)