21  Mastery Learning Assignments 4-7

21.1 Practice Questions

1. What is log₂(8)?

4
2
3
6

2. In the equation y = mx + b, what does b represent?

The slope of the line
The x-intercept
The y-intercept
The rate of change

3. If log₃(x) = 2, what is x?

6
9
3
5

4. Which of these is equivalent to log₂(8 × 4)?

log₂(8) × log₂(4)
log₂(8) + log₂(4)
log₂(8) - log₂(4)
2log₂(8)

5. Given the equations q = a - bp and q = c + dp, what is the solution for p?

p = (a + c)/(b + d)
p = (a - c)/(b + d)
p = (a - c)/(d - b)
p = (c - a)/(d + b)

6. What is the area between y = x and y = 2x from x = 0 to x = 2?

2 square units
1 square unit
4 square units
3 square units

7. If log₂(x) = 3 and log₂(y) = 2, what is log₂(x²y)?

6
8
7
5

8. The lines y = 3x and y = 6 - x intersect at what point?

(2, 6)
(1.5, 4.5)
(2, 4)
(1, 3)

9. Given q = p/a + p/b and p = x/y, which expression correctly represents q after substitution and simplification?

q = x/(ay + by)
q = (ax + b)/(aby)
q = (x/y)(1/a + 1/b)
q = (a + bx)/(aby)

10. If log₃(a) = 4 and log₃(b) = 1, what is log₃(a²/b)?

8
7
6
9

11. Given the system of equations p₁x₁ + p₂x₂ = m, solve for x₂ in terms of x₁. Which answer is correct?

x₂ = (m + p₁x₁)/p₂
x₂ = (p₁x₁ - m)/p₂
x₂ = m/p₂ - (p₁/p₂)x₁
x₂ = mx₁ - p₁/p₂

12. The area bounded by y = 4 - x, y = x, and the y-axis from x = 0 to their intersection point is:

4 square units
6 square units
8 square units
16 square units