FTCE Mathematics 5 — Questions and Answers
Question 1: A teacher presents the inequality -3x > 12. Students must solve for x. What is the correct solution?
- x > -4
- x < -4 (Correct answer)
- x > 4
- x < 4
Correct answer: x < -4
Dividing both sides by -3 requires flipping the inequality symbol, yielding x < -4.
Question 2: The volume of a cone is given by V = (1/3)πr²h. If the radius is doubled and the height remains the same, how does the volume change?
- It doubles
- It triples
- It quadruples (Correct answer)
- It increases by a factor of 8
Correct answer: It quadruples
Since V depends on r², doubling r multiplies r² by 4, so the new volume is 4 times the original.
Question 3: Which of the following is a geometric sequence?
- 2, 4, 6, 8, 10
- 3, 6, 12, 24, 48 (Correct answer)
- 1, 4, 9, 16, 25
- 5, 10, 15, 20, 25
Correct answer: 3, 6, 12, 24, 48
In the sequence 3, 6, 12, 24, 48, each term is multiplied by a constant ratio of 2.
Question 4: Two supplementary angles are in the ratio 2:3. What is the measure of the larger angle?
- 72°
- 108° (Correct answer)
- 60°
- 120°
Correct answer: 108°
Supplementary angles sum to 180°; with ratio 2:3, the angles are 2/5×180°=72° and 3/5×180°=108°.
Question 5: A student is asked to find the slope of a line passing through (-2, 5) and (4, -1). What is the slope?
- -1 (Correct answer)
- 1
- -2/3
- 2/3
Correct answer: -1
Slope = (y₂−y₁)/(x₂−x₁) = (-1−5)/(4−(-2)) = -6/6 = -1.
Question 6: Which number is irrational?
- √16
- √(4/9)
- 0.333…
- √7 (Correct answer)
Correct answer: √7
√7 cannot be expressed as a ratio of integers and its decimal form is non-repeating and non-terminating.
Question 7: A teacher asks students to identify which property justifies: if 5 = x, then x = 5. Which property applies?
- Reflexive property of equality
- Symmetric property of equality (Correct answer)
- Transitive property of equality
- Substitution property of equality
Correct answer: Symmetric property of equality
The symmetric property states that if a = b, then b = a, which allows reversing the sides of an equation.
FTCE Mathematics 5
A teacher presents the inequality -3x > 12.
Students must solve for x.
What is the correct solution?