MPT Pre-Algebra 3 β Questions and Answers
Question 1: A recipe calls for 2ΒΌ cups of flour. If you want to make 1.5 times the recipe, how many cups of flour do you need?
- 3 cups
- 3ΒΌ cups
- 3β cups (Correct answer)
- 3Β½ cups
Correct answer: 3β cups
2ΒΌ = 9/4; (9/4) Γ (3/2) = 27/8 = 3β cups.
Question 2: Which expression represents 'five less than twice a number n'?
- 5 β 2n
- 2n β 5 (Correct answer)
- 2(n β 5)
- 2 + n β 5
Correct answer: 2n β 5
'Twice a number' is 2n, and 'five less than' means subtract 5, giving 2n β 5.
Question 3: On a number line, what is the distance between β7 and 3?
- 4
- 7
- 10 (Correct answer)
- β4
Correct answer: 10
Distance = |3 β (β7)| = |3 + 7| = 10.
Question 4: Which of the following is equivalent to 5Β² Γ 5Β³?
- 5β΅ (Correct answer)
- 5βΆ
- 25β΅
- 10β΅
Correct answer: 5β΅
When multiplying powers with the same base, add the exponents: 5Β² Γ 5Β³ = 5^(2+3) = 5β΅.
Question 5: Evaluate: |β15 + 4| β |6 β 10|
- β7
- 7 (Correct answer)
- 15
- β15
Correct answer: 7
|β11| β |β4| = 11 β 4 = 7.
Question 6: A car travels 150 miles in 2.5 hours. What is its average speed in miles per hour?
- 50 mph
- 55 mph
- 60 mph (Correct answer)
- 65 mph
Correct answer: 60 mph
Speed = distance Γ· time = 150 Γ· 2.5 = 60 mph.
Question 7: What is 40% of 75?
- 25
- 28
- 30 (Correct answer)
- 32
Correct answer: 30
40% of 75 = 0.40 Γ 75 = 30.
A recipe calls for 2ΒΌ cups of flour.
If you want to make 1.5 times the recipe, how many cups of flour do you need?