FTCE Mathematics 5

Question 1

A teacher presents the inequality -3x > 12. Students must solve for x. What is the correct solution?

Accepted Answer

x < -4

Answer

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?

Accepted Answer

It quadruples

Answer

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?

Accepted Answer

3, 6, 12, 24, 48

Answer

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?

Accepted Answer

108°

Answer

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?

Accepted Answer

-1

Answer

Slope = (y₂−y₁)/(x₂−x₁) = (-1−5)/(4−(-2)) = -6/6 = -1.

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