Integers and Operations
Evaluate: (-3) + (-8) - 5
Answer: -16
Write 75% as a fraction in simplest form.
Answer: 3/4
How do you isolate a variable?
Answer: By getting the variable alone (by itself) on one side of the equal sign.
What does a probability of 0 mean?
Answer: It means the probability of the event occurring is impossible.
Subtract: -5 - 3
Answer: -8
Multiply: (-6) × 4
Answer: -24
If 4 pencils cost $2, what is the unit price of one pencil?
Answer: $0.50 or 50 cents
Solve x + 7 = 15
Answer: x = 8
What is the definition of mode?
Answer: Mode is the number that appears the most in a set of data.
Multiply: -50 × -6
Answer: 300
What is the distance between -2 and 17 on a number line?
Answer: 19
In a class of 30 students, the ratio of boys to girls is 2:3. If there is 12 boys, how many girls are in the class?
Answer: 18 girls
Solve 3y = 21
Answer: y = 7
Find the median: 13, 9, 7, 11, 5
Answer: 9
What is the product of a positive and negative and a positive number?
Answer: Negative
A thermometer shows -3°C in the morning. By afternoon, the temperature has risen by 12 degrees. What is the new temperature?
Answer: 9°C
What is 25% of 80?
Answer: 20
Explain two different methods to solve x/3 = 6
Answer: 18/3 = 6 or 3 x 6 = 18
Calculate the mean: 24, 21, 18, 15, 12
Answer: 18
Subtract: -12 - (-6)
Answer: -6
A submarine starts at sea level and then descends 50 meters, then ascends 30 meters, and finally descends 20 meters. What is its final position relative to its starting point?
Answer: 40 meters below sea level
If 15% of a number is 45, what is the number?
Answer:300
Solve 12 = z - 5
Answer: z = 17
What is the probability of drawing a face card from a standard 52 deck of cards.
Answer: 12/52 or 3/13
What is the sign rule for integer subtraction?
Answer: 1. You have to add the opposite. 2. You keep the first number the same, then change the subtraction sign to addition and then take the opposite of the second number.