High School Math Actual Questions and Correct Answers
Q1
What is the simplified form of the expression 3i√2 × √-12 ?
Answer: 6√6
Q2
What is the polar equation of the curve with the rectangular equation x+y-2=0 ?
Answer: r=2/cosθ+sinθ
Q3
Consider the vector u= 9i-12j. What is the unit vector that is orthogonal to u?
Answer: ⁴/₅i-³/₅j
Q4
If A=[⁵₂ ⁻⁶₄], what is the inverse A⁻¹ of the matrix A?
Answer: A⁻¹=¹/₃₂[⁴-₂ ⁶₅]
Q5
In the expanded form of the expression (3x+y)⁴ what is the coefficient of the term with the
product xy³?
Answer: 12
Q6
The system of equations 2x+ y+ 3z= -2 5x+ 2y = 5 2y+ 3z= -13
Answer: The system of equations 2x+ y+ 3z= -2 5x+ 2y = 5 2y+ 3z= -13
Q7
Suppose that z caries directly as the square of x and inversely as y. If z=8 when x=4 and y=6
what is z when x=6 and y=12?
Answer: z=9
Q1
What is the simplified form of the expression 3i√2 × √-12 ?
Answer: 6√6
Q2
What is the polar equation of the curve with the rectangular equation x+y-2=0 ?
Answer: r=2/cosθ+sinθ
Q3
Consider the vector u= 9i-12j. What is the unit vector that is orthogonal to u?
Answer: ⁴/₅i-³/₅j
Q4
If A=[⁵₂ ⁻⁶₄], what is the inverse A⁻¹ of the matrix A?
Answer: A⁻¹=¹/₃₂[⁴-₂ ⁶₅]
Q5
In the expanded form of the expression (3x+y)⁴ what is the coefficient of the term with the
product xy³?
Answer: 12
Q6
The system of equations 2x+ y+ 3z= -2 5x+ 2y = 5 2y+ 3z= -13
Answer: The system of equations 2x+ y+ 3z= -2 5x+ 2y = 5 2y+ 3z= -13
Q7
Suppose that z caries directly as the square of x and inversely as y. If z=8 when x=4 and y=6
what is z when x=6 and y=12?
Answer: z=9
