Algebra and Trigonometry, 5th Edition

Mid-Chapter Mixed Review

Determine whether each of the following statements is true or false.

1. The x-intercept of the line that passes through $(-\frac{2}{3},\frac{3}{2})$ and the origin is $(-\frac{2}{3},0)$. [1.1]

2. All functions are relations, but not all relations are functions. [1.2]

3. The line parallel to the y-axis that passes through (−5, 25) is $y=-5$. [1.3]

4. Find the intercepts of the graph of the line $-8x+5y=-40$. [1.1]

For each pair of points, find the distance between the points and the midpoint of the segment having the points as endpoints. [1.1]

5. (−8, −15) and (3, 7)

6. $(-\frac{3}{4},\frac{1}{5})$ and $(\frac{1}{4},-\frac{4}{5})$

7. Find an equation for a circle having center (−5, 2) and radius 13. [1.1]

8. Find the center and the radius of the circle ${(x-3)}^2+{(y+1)}^2=4$. [1.1]

Graph the equation.