Simple Probability
What is the probability of rolling a 3 on a number cube?
1/6
What is the difference between an expression and equation?
An expression does not include an equal sign. However, an equation includes and equal sign.
A bag of mixed apples contains 10 red apples, 3 yellow apples, and 8 green apples. Write the ratio of red apples to yellow apples in 3 different ways.
10/3
10:3
10 to 3
Write 34.5% as a decimal and a fraction.
Decimal: .345
Fraction: 34.5/100
What is the area of a parallelogram with a height of 17mm and base 9mm?
153 mm2
In a jar, there are 3 red pencils, 1 blue pencil, and 6 green pencils. What is the theoretical probability of pulling out a red pencil?
3/10
4x+8
4(x+2)
Perry earned $96 shoveling snow from 8 driveways. How much would Perry have earned if he had shoveled 10 driveways?
$120
20% of what number is 30?
6
What is the diameter of a circle with a circumference of 30π mm?
30mm
What would be the total number of outcomes?
choosing coffee or tea; with cream, milk, or honey; served in a glass or a mug
12 possible outcomes
Solve and graph the following inequality:
5x+3<23
x<4
(open circle over 4, shade left, must include at least 3 numbers on number line)
Mr. Smith buys 12 pencils for $6.00. Find the unit rate for one pencil.
$0.50 per pencil
You deposited $500 in the bank. You earn 4.25% annually. How much interest will you have earned in one year? What is your final balance?
Interest: $21.25
Final balance: $521.25
What is the base of a rectangle with a height of 8 inches and area of 36 square inches?
4.5 inches
If the probability of choosing a green marble is 4/7 what is the probability of not choosing a green marble?
3/7
Solve for x:
-5(x – 10) < -35
x>17
A shampoo bottle of 8 oz costs $1.99. Another shampoo bottle costs $2.59 for 12 oz. Which bottle is the better buy?
The 12 oz bottle is the better buy.
Sara sells real estate and earns $400 weekly and receives 3% commission on property she sells. How much money will her paycheck be this week if she sells a house for $118,000?
$3,940
A circular plate has a diameter of 14 inches. What is the area of the dish? Leave your answer in terms of pi.
A=πr2
A=49π inches2
In a jar, there are 7 blue marbles, 6 red marbles, 2 green marbles, and 3 purple marbles. When one marble is pulled from the jar, it is not replaced.
1. Are the events independent or dependent?
2. Find P(blue and blue).
1. Dependent
2. 7/51
You want to spend less than $23 on a carriage ride. The driver tells you there is an initial charge of $5 plus $2 per mile. Write and solve an inequality to find out how many miles you can ride. Interpret the solution.
5+2x<23
x<9
You can only ride the carriage for less than 9 miles.
Two pounds of cashews cost $19, and 8 pounds cost $76. Show that the relationship between the number of pounds of cashews and the cost is a proportional relationship. Then write an equation for the relationship.
y=9.5x
Target had a sale on all bikes. Eddie found a $425 green bike that he loved. In addition to the 20% discount that Target was offering, he received a 10% customer appreciation discount off of the sale price. Calculate Eddie’s bill.
$306
Ed made a scale drawing of his rectangular room. He used a scale of 3 in = 4 ft. His drawing is 13.5 in x 6 in. What is the actual area of his room?
18 ft x 8ft = 144 ft2