Vocabulary
Q: What is the distance from zero on the number line called?
A) Opposite B) Absolute Value C) Additive Inverse D) Rational Number
B: Absolute value shows distance from 0, and distance is always positive.
Q: –5 + 9 = ?
A) –14 B) –4 C) 4 D) 14
C: When adding different signs, subtract and keep the sign of the larger number.
Q: 3/5 + 2/5 = ?
A) 1/5 B) 7/8 C) 1 D) 2/3
C: Same denominator → add numerators (3+2 = 5/5 = 1).
Q: A diver goes down 12 ft in 3 minutes. What’s the rate per minute?
A) –2 ft/min B) –3 ft/min C) –4 ft/min D) –6 ft/min
C: 12 ÷ 3 = 4, and it’s negative because it’s going down.
Q: Which operation uses “Keep, Change, Flip”?
A) Addition B) Subtraction C) Multiplication D) Division
D: Division of fractions always uses KCF.
Q: What do you call two numbers that add to zero?
A) Opposites B) Additive Inverses C) Unit Rates D) Quotients
B: Additive inverses are numbers that cancel out because their sum is 0. {Ex. -6 + 6 = 0}
Q: –6 – (–3) = ?
A) –9 B) –3 C) –12 D) 3
B: Subtracting a negative is the same as adding the opposite.
Q: 4/7 ÷ 2/3 = ?
A) 6/7 B) 2/21 C) 14/6 D) 7/12
A: Keep, Change, Flip: 4/7 × 3/2 = 12/14 = 6/7.
Q: A bank account has $200. It loses $10 each month. Balance after 4 months?
A) $160 B) $180 C) $150 D) $140
A: 200 – (10×4) = 160.
Q: True/False: 0 is a rational number.
A) True B) False
A: True, 0 is rational because it can be written as 0/1.
Q: Which of the following are considered rational numbers?
A) π B) –2.5 C) ⅔ D) √2
*hint* it may be more than one!
B and C: Rational numbers can be written as fractions and fractions can be turned into terminating or repeating decimals.
7 – (–2) = ?
A) 5 B) –5 C) 9 D) –9
C: 7 – (–2) is the same as 7 + 2.
Q: 2/3 × 3/4 = ?
A) 1/4 B) 1/2 C) 3/4 D) 6/7
B: Multiply across: 2×3=6, 3×4=12 → 6/12 = 1/2.
Q: A ferry descends at –5 ft/min for 7 minutes. Where is it?
A) –35 ft B) –12 ft C) –2 ft D) –70 ft
A: Multiply rate × time (–5 × 7 = –35).
Q: Which fractions are equivalent?
A) 2/3 and 4/6 B) 2/5 and 5/12 C) 3/8 and 9/20 D) 1/2 and 2/5
A: Multiply numerator and denominator of 2/3 by 2 to get 4/6.
Q: Which decimal is a repeating decimal?
A) 0.75 B) 0.125 C) 0.3̅ D) 0.5
C: 0.3̅ repeats forever, unlike terminating decimals.
Q: –8 × –7 = ?
A) –56 B) 56 C) –15 D) 15
B: Negative × Negative = Positive.
Q: Write 3/4 as a decimal.
A) 0.25 B) 0.5 C) 0.6 D) 0.75
D: 3 ÷ 4 = 0.75.
Q: A $96 bill is shared equally among 6 people. How much does each pay?
A) $6 B) $12 C) $16 D) $18
C: 96 ÷ 6 = 16.
Q: Which decimal is terminating?
A) 1/3 B) 2/3 C) 1/4 D) 1/9
C : 1 ÷ 4 = 0.25, which ends.
Q: Which statement is true?
A) Every integer is rational.
B) Every rational number is an integer.
C) Every decimal is rational.
D) Every fraction is irrational.
A: Integers are rational because they can be written as fractions (5 = 5/1).
Q: A fish is at –15 ft, another at –6 ft. What’s their vertical distance?
A) 9 ft B) 21 ft C) –9 ft D) –21 ft
A: Distance = difference of absolute values: |–15| – |–6| = 9.
Q: Convert 5/6 to a decimal.
Choices: A) 0.6 B) 0.75 C) 0.833… D) 0.5
C: 5 ÷ 6 = 0.833… (repeats).
Q: A 12-mile run has water stations every ¾ mile. How many stations?
A) 12 B) 16 C) 21 D) 26
B: 12 ÷ ¾ = 16.
Q: Which equation shows opposite operations?
A) 3x = 12 ↔ x ÷ 3 = 12
B) 5 + 7 = 12 ↔ 12 – 7 = 5
C) 2x = 8 ↔ 8 × 2 = 16
D) 9 – 4 = 5 ↔ 4 – 9 = –5
B: Addition and subtraction are opposite operations.