Name Block Date

ALGEBRA 1 SKILLS REVIEW

Show your work in the space provided below each problem.

1. Is the given point on the given line? (7, 2) y = x – 5

2. Find the slope of the line going through the points (-4, 6) and (1, -9).

3. Find the equation of a line with m = 23

and going through the point (6, -9).

4. Find the equation of a line going through (4, 7) and (2, -4).

5. Find the point of intersection of the two lines y = 2x – 6 and y = 5x.

6. Factor completely: 3x2 – 48

7. Factor completely: x2 – 16x + 48

8. Multiply: 2x(x2 – 6x + 3)

9. Simplify: (3x5)(6x)(4x3)

10. Find the roots of the equation: x2 – 3x – 70 = 0

11. Solve for x: 2x – 14 = -3x + 21

12. Solve for y: 3y + 24 + 4y – 33 = 180