9th grade algebra

Question 1

A line has slope 5. What is the slope of a line perpendicular to it? Give a fraction or whole number.

Answer (as a fraction)

Question 2

18x⁵ ÷ 6x¹⁰ = 3xᵏ. Find k.

Answer 

Question 3

The function f = {(2, −4), (−4, −4), (4, 8), (8, −2), (−2, 8), (−5, −2)}. How many different values are in its range?

Answer 

Question 4

Tariq wrote (5x⁴)³ = 5x¹². What is the correct simplification?

• A. 125x¹²
• B. 125x⁶⁴
• C. 5x¹²
• D. 15x¹²

Question 5

What type of sequence does aₙ = n² − 5 produce?

• A. Arithmetic
• B. Geometric
• C. Neither

Question 6

Find the line parallel to 3x + y = 3 through (3, −4). Type the right-hand side of y = … .

Answer 

Question 7

How many solutions does this system have? 4x − y = 3 8x − 2y = 3

• A. Exactly one
• B. None
• C. Infinitely many

Question 8

A ball is thrown upwards. Its height in metres after t seconds is h(t) = 15t − 5t². Find its average speed upwards (rate of change of height, in m/s) from t = 1 to t = 3. A negative answer means it is coming down.

Answer 

Question 9

What is the degree of the polynomial 7x⁴ − 9x²?

Answer 

Question 10

Solve: 3x + 4y = 42 3x − 5y = −12 Type the solution like (2, −1).

Answer 

Question 11

The half-life of a radioactive sample is 8 hours. Starting with 768 g, how much is left after 40 hours?

Answer 

Question 12

y = 45 × 2ˣ. Find y when x = 2. Round to 2 decimal places if needed.

Answer 

Question 13

x: 0, 1, 2, 3, 4 y: 5, 10, 20, 40, 80 Is the relationship linear, exponential or neither?

• A. Linear
• B. Exponential
• C. Neither

Question 14

Solve the system: y = −2x + 13 −5x − 2y = −32 Type the solution like (2, −1).

Answer 

Question 15

A drone's height (m) after t seconds is h = −t² + 10t + 9. What is its maximum height?

Answer 

Question 16

For what value of k does −7x + 7 = kx + 10 have no solution?

Answer