Ratios & Rates
There are 12 pens and 5 pencils. What is the ratio of pencils to pens?
5 pencils : 12 pens
28.6 x 2.4 = ______
68.64
Which statement best represents the integer -15?
A) Joey deposited $15 at the bank.
B) The temperature rose 15 degrees.
C) Ron lost 15 yards on a football play.
D) A car increased its speed by 15 mph.
C) Ron lost 15 yards on a football play.
Determine the value of the expression below. (Hint: PEMDAS)
60 – (9 ÷ 3)2 + 15
Order of Operations:
1st P: 9/3 = 3
2nd E: 32 = 9
3rd S: 60 - 9 = 51
4th A: 51 + 15 = 66
The value of the expression is 66.
Write 53 in expanded form. (Hint: How is it expressed in a multiplication sentence?)
5 x 5 x 5
Sasha mows 8 lawns in 4 days. When the rate is expressed in lawns per day, what is the unit rate?
2 lawns per day
807.3 / 9 = _______
89.7
Lists the integers from least to greatest:
-9, -7, 5, -4, -2, 1
-9, -7, -4, -2, 1, 5
Evaluate the expression below if a = 2 and b = 7.
3a + 4b
3 x 2 + 4 x 7= 34
Find the equivalent ratio.
2 : 5 = 128 : ____
128 : 320
A farm has 6 goats and 30 cows. For every 1 goat there are ___ cows.
5 cows
Find 5/6 divided by 3 (Hint: KCF)
5/18
The temperature dropped twenty-three degrees overnight. Write an integer to represent the situation.
-23
Solve for the variable in the following equation. (Hint: do the opposite operation to get the variable by itself)
x + 8 = 20
x =12
Solve for the variable in the following inequality. (Hint: do the opposite operation to get the variable by itself)
x - 9 > 15
x > 24
The librarian likes to keep the ratio of fiction to non-fiction books at 5:6. If he has 36 non-fiction books, then how many fiction books are there?
30 fiction books
A jar of olive oil is priced at $10.08 for 8 ounces. What is the price of one ounce of olive oil?
$1.26
Matthew glanced at the thermometer in the science lab. It stated -9 degrees Celsius. What is the absolute value of the temperature? (Hint: absolute value = distance from zero)
9
Solve for the variable in the following equation. (Hint: do the opposite operation to get the variable by itself)
5x = 45
x = 9
The point (2, -5) is located 2 units to the ______ of the origin and 5 units _____ from the origin.
2 units to the right & 5 units down
The principal likes to keep the ratio of students to teachers at 24:1. If he has hired 32 teachers, then how many students are expected to enroll?
768 students
Jason is packaging soup in to-go containers. There are 5 and 3/4 cups of stew that need to be put into 5 to-go containers equally. How many cups of soup will be in each container? (Hint: KCF)
23/20 = 1 and 3/20 cups in each container
Tessa argues that the absolute value of 24 is greater than the opposite of -18. Is Tessa correct or not? Justify your thinking.
Tessa is correct because the absolute value of 24 is 24 and the opposite of -18 is 18. 24 > 18.
Which inequality is true when x = 7?
A) x + 6 ≥ 18
B) x – 6 > 18
C) 11 + x < 18
D) 11 + x ≤ 18
D) 11 + x ≤ 18
Convert 25/100 to a decimal and percent.
25/100 = 0.25 = 25%