Praxis Maths Exam Questions With Answers Correct
1. 3. Which of the following expressions is equivalent to the expression 21−6x
for all values of x ?
5−2(8−3x)
6+3(5−2x)
25−(4−6x)
3(4−2x)−9
7(3−2x)−8x: 6+3(5−2x)
Option (B) is correct. Using the distributive property, 6+3(5−2x)=6+15−6x=21−6x. None of the other selections is
equivalent to this.
2. 5. A right circular cylinder with base B is shown. If a plane that is neither
parallel nor perpendicular to base B passes through the cylinder, which of the
following could be the shape of the intersection of the plane and the cylinder?
An ellipse with circumference less than the circumference of B
An ellipse with circumference greater than the circumference of B
An ellipse with circumference equal to the circumference of B
A circle with circumference less than the circumference of B
A circle with circumference greater than the circumference of B: CorrectAnswer: B
Option (B) is correct. A plane that is parallel to the base intersects the cylinder in a circle, but because the intersecting
plane is not parallel, the intersection is an ellipse. One of the axes of the ellipse is equal to the diameter of the base, but
the other axis (in the direction of the tilt) is larger than the diameter. That means that the circumference of the ellipse
is greater than the circumference of the base.
3. 6. If 5(2x+1)=3(x+4)−5, what is the value of x ?: 2/7
Solve the equation by first using the distributive property: 5(2x+1)=3(x+4)−5 becomes 10x+5=3x+12−5. Combining
similar terms yields the equation 10x+5=3x+7. After subtracting 3x from both sides of the equation to get 7x + 5 = 7,
subtracting 5 from both sides yields the equivalent equation 7x =2. The answer is found by dividing each side of this
equation by 7.
4. 8. If x6 is between 3 and 4, which of the following could be the value of x ?
14
,17
20
, 25
26: 25
Option (C) is correct. When the numbers 3 and 4 are written as fractions with a denominator of 6, we need to find a
value of x which satisfies the inequality 186<x6<246. This requires a number that lies between 18 and 24. The only
number among the given choices that does this is 20.
5. 10. If triangle ABC in the xy-plane shown above is shifted 7 units to the right
and 4 units up, what would be the coordinates of point A after the shift?
(1, -2)
(4, -2)
(4, 2)
(5, -2)
(5, 2)
A Start (-2)(-2): (5, 2)
6. 11. 1.4, 1.8, 2.2, 2.0, 1.0, 1.9, 1.2, 2.1, 1.7
What is the median of the numbers in the list above?
1.2
1.4
1.7
1.8
1.9: 1.8
Option (D) is correct. The median of an ordered set of data is the number positioned where there are an equal number
less than the number and greater than the number (that is, the number in the "middle"). Rearranging the nine numbers
from least to greatest, the list becomes 1.0, 1.2, 1.4, 1.7, 1.8, 1.9, 2.0, 2.1, 2.2, where 1.8 is the fifth (middle) number
in the list.
7. 12. If 1/7x−2=1, then x=
-7
3
9
1. 3. Which of the following expressions is equivalent to the expression 21−6x
for all values of x ?
5−2(8−3x)
6+3(5−2x)
25−(4−6x)
3(4−2x)−9
7(3−2x)−8x: 6+3(5−2x)
Option (B) is correct. Using the distributive property, 6+3(5−2x)=6+15−6x=21−6x. None of the other selections is
equivalent to this.
2. 5. A right circular cylinder with base B is shown. If a plane that is neither
parallel nor perpendicular to base B passes through the cylinder, which of the
following could be the shape of the intersection of the plane and the cylinder?
An ellipse with circumference less than the circumference of B
An ellipse with circumference greater than the circumference of B
An ellipse with circumference equal to the circumference of B
A circle with circumference less than the circumference of B
A circle with circumference greater than the circumference of B: CorrectAnswer: B
Option (B) is correct. A plane that is parallel to the base intersects the cylinder in a circle, but because the intersecting
plane is not parallel, the intersection is an ellipse. One of the axes of the ellipse is equal to the diameter of the base, but
the other axis (in the direction of the tilt) is larger than the diameter. That means that the circumference of the ellipse
is greater than the circumference of the base.
3. 6. If 5(2x+1)=3(x+4)−5, what is the value of x ?: 2/7
Solve the equation by first using the distributive property: 5(2x+1)=3(x+4)−5 becomes 10x+5=3x+12−5. Combining
similar terms yields the equation 10x+5=3x+7. After subtracting 3x from both sides of the equation to get 7x + 5 = 7,
subtracting 5 from both sides yields the equivalent equation 7x =2. The answer is found by dividing each side of this
equation by 7.
4. 8. If x6 is between 3 and 4, which of the following could be the value of x ?
14
,17
20
, 25
26: 25
Option (C) is correct. When the numbers 3 and 4 are written as fractions with a denominator of 6, we need to find a
value of x which satisfies the inequality 186<x6<246. This requires a number that lies between 18 and 24. The only
number among the given choices that does this is 20.
5. 10. If triangle ABC in the xy-plane shown above is shifted 7 units to the right
and 4 units up, what would be the coordinates of point A after the shift?
(1, -2)
(4, -2)
(4, 2)
(5, -2)
(5, 2)
A Start (-2)(-2): (5, 2)
6. 11. 1.4, 1.8, 2.2, 2.0, 1.0, 1.9, 1.2, 2.1, 1.7
What is the median of the numbers in the list above?
1.2
1.4
1.7
1.8
1.9: 1.8
Option (D) is correct. The median of an ordered set of data is the number positioned where there are an equal number
less than the number and greater than the number (that is, the number in the "middle"). Rearranging the nine numbers
from least to greatest, the list becomes 1.0, 1.2, 1.4, 1.7, 1.8, 1.9, 2.0, 2.1, 2.2, where 1.8 is the fifth (middle) number
in the list.
7. 12. If 1/7x−2=1, then x=
-7
3
9
