MATH MAJORSHIP

Question 1

Solve for x:
4(3 - x) = 5(4– x)
A. 1
B. 3
C. 5
D. 8

Answer 1

D. 8

Question 2

Simplify
1/x²-4 + 1/X-2 = 0
A. -3
B. 3
C. 0
D. 1

Answer 2

A. -3

Question 3

Solve the rational expression
2x-1/x+4 = -4/x+4
A. -0.5
B. 0.5
C. 1.5
D. -1.5

Answer 3

D. -1.5

Question 4

Solve the rational expression
x-3/12 + x-1/6 = x=2/9-1
A. 2.6
B. -2.6
C. 3.6
D. -3.6

Answer 4

B. -3.6

Question 5

What are the roots of
x² + 5x + 6 = 0

Answer 5

x = -2
x = -3

Question 6

Which of the following are the zeroes of
6x² + 17x + 12
A. 4/3 and 3/2
B. -4/3 and -3/2
C. 4/3 and -3/2
D. -4/3 and 3/2

Answer 6

B. -4/3 and -3/2

Question 7

Which of the following are the zeroes of
6x²+ 17x+ 12
A. 4/3 and 3/2
B. -4/3 and -3/2
C. 4/3 and -3/2
D. -4/3 and 3/2

Answer 7

B. -4/3 and -3/2

Question 8

Which of the following are the zeroes of
10x² + 62X + 12
A. 1/5 and 6
B. -1/5 and 6
C. -1/5 and -6
D. 1/5 and -6

Answer 8

C. -1/5 and -6

Question 9

Find the quadratic equation whose
roots are 2 and -5.
A. x² - 3x – 10 = 0
B. x² + 2x - 5 = 0
C. x² + 3x – 10 = 0
D. x² - 2x + 5 = 0

Answer 9

C. x² + 3x – 10 = 0

Question 10

The sum and product, respectively, of the zeroes of the quadratic function
f(x) = -x² + 5x - 4 are
A. 4 and 1
B. 4 and 5
C. 1 and 4
D. 5 and 4

Answer 10

D. 5 and 4

Question 11

Find the values of x in x² + 2x + 5 = 0.
A. -2 ± i
B. 2 ± i
C. 1 ± 2i
D. -1 ± 2i

Answer 11

D. -1 ± 2i

Question 12

Which of the following are the zeroes of
y³ + 5y² - 41y - 45
A. -9, -1, 5
B. -9, -1, -5
C. 9, 1, 5
D. 9, -1, 5

Answer 12

A. -9, -1, 5

Question 13

Which of the following are the zeroes of
2x² - 29x² + 85x + 50
A. -1/2, -10, -5
B. -1/2, -10, 5
C. 1/2, 10, 5
D. -1/2, 10, 5

Answer 13

D. -1/2, 10, 5

Question 14

Solve for x:
x+y=295
2x+4y=874
A. 153
B. 135
C. 142
D. 124

Answer 14

A. 153

Question 15

Solve for y:
2x + 7y = 4
x + 2y= 1
A. -1/3
B. 2/3
C. 1/5
D. 6/7

Answer 15

B. 2/3

Question 16

Find the values of x if:
3x-3y-z=4
x+9y+2z=16
x-y+6z=14
A. 0
B. 1
C. 2
D. 3

Answer 16

D. 3

Question 17

Find the values of y if:
x+3y+3z=9
2x+y+5z=3
x+2y+2z=4
A. 2/5
B. 5/2
C. 3/5
D. 5/3

Answer 17

B. 5/2

Question 18

Perform the indicated operation: 2xy/5x * xy/3y³
A. 2x/15y
B. 2x²/15y²
C. 2x²/15y
D. 2x³/15y²

Answer 18

A. 2x/15y

Question 19

Perform the indicated operation: 5x⁵y³/3xy² * 4xy/x²y⁴
A. 20x³/3y³
B. 20x²/3y³
C. 20x³/3y²
D. 20x²/3y²

Answer 19

C. 20x³/3y²

Question 20

Perform the indicated operation: 40x²y³ / 3xy⁴ ÷ 27xy/x²y⁴
A. 40x³y/81
B. 40xy/81
C. 40y/81
D. 40x²y/81

Answer 20

D. 40x²y/81

Question 21

What is the difference of two polynomials if
the first polynomial is 8m - 2n – 3p and the
second polynomial is 2m + 3n + 2p?
A. 6m + 5n + 5p
B. 6m + 5n – 5p
C. 6m - 5n – 5p
D. 6m + n – p

Answer 21

C. 6m - 5n – 5p

Question 22

If f(x) = 2x – 3 and g(x) = x² − 1, find (g ∘ f) (x).
A. 2x² − 5
B. 4x² − 12x + 8
C. 4x− 9
D. x⁴ − 2x²

Answer 22

B. 4x² − 12x + 8

Question 23

If f(x) = 2x – 3 and g(x) = x² − 1, find (g ∘ g) (x).
A. 2x² − 5
B. 4x² − 12x + 8
C. 4x− 9
D. x⁴ − 2x²

Answer 23

D. x⁴ − 2x²

Question 24

If f(x) = x² + 3x - 4, then what is f (-2)?
A. -6
B. -14
C. -12
D. -10

Answer 24

A. -6

Question 25

If f(x) = x² + 3x - 4, then what is f (x²)? A) x² + 3ˣ - 4 B) x⁴ + 3x² - 4x C) x² + 3x² - 4x D) x⁴ + 3x² - 4

Answer 25

D) x⁴ + 3x² - 4

Question 26

If f(x) = x² + 3x - 4, then what is f (x+1)? A. x²+ 3x – 3 B. x (x+5) C. x²+ 5x – 3 D. x²+ 3x – 1

Answer 26

B. x (x+5)

Question 27

Find the domain of the function y = 5 – 2x² A. x ≥ 2 B. x ≥ 5 C. x ≥ 0 D. All real numbers

Answer 27

D. All real numbers

Question 28

Find the domain of the function y = √ (x + 1) A. x ≥ −1 B. x ≥ −5 C. x ≥ 0 D. All real numbers

Answer 28

A. x ≥ −1

Question 29

Find the range of the function y = x²+1 A. y ≥ 1 B. y ≥ −5 C. y ≥ 0 D. All real

Answer 29

A. y ≥ 1

Question 30

If y = 3x+4, what is the range of the possible values of y if 3 < x < 7? A. 1 < y < 11 B. 13 < y < 25 C. 9 < y < 21 D. 10 < y < 20

Answer 30

B. 13 < y < 25

Question 31

Which of the following is an arithmetic sequence? A. 1, 3, 5, 7, 9, … B. 2, 4, 8, 16, 32, … C. 1, 1, 2, 3, 5, 8, … D. 1, 1/3, 1/5, 1/7, 1/9, …

Answer 31

A. 1, 3, 5, 7, 9, …

Question 32

Find the twelfth element of an arithmetic sequence whose first element is 2 and whose second element is 5. A. 32 B. 33 C. 34 D. 35

Answer 32

D. 35

Question 33

Find the common ratio of the geometric sequence whose third term is -2 and sixth element is 54. A. -4 B. -3 C. 4 D. 3

Answer 33

B. -3

Question 34

Find the slope of the line that passes through the points (2, 0) and (2, 4). A. 0 B. 4 C. 2 D. Undefined

Answer 34

D. Undefined

Question 35

Equation of the line General Form

Answer 35

Ax+By+C = 0