Below are examples of the questions I ask on the weekly Algebra Reviews. Each week the directions for the problems remain the same, but the problems change. As we go through the semester the problems get increasingly difficult.
Algebra Review
Week 1
1.Distribute: -4(x+2)
2. Find the square root of 48. Leave it in simplest radical form.
Solve
3.1x – 5 = 3x + 7
4.x = 7
5 3
5.Find the slope of the line that passes through (2,-7) and (-2,0)
6.Graph the function y = 6x – 3
7.Find the equation of the line that passes through (0,5) and (-1, 4)
8. Solve the inequality and graph the solution x - 5 < 8
9.Solve | x – 4| =17
10.Solve the system of linear equations by substitution
X = 2y - 1
3x – 2y = 5
11. Simplify the expression.
a. (z7 ) (z)( z5) b. (x4)2
12. Simplify the expression
a. (4x + 1) + ( -2x – 7) b. (3x- 5) – (3x – 9)
13.Factor: x2 + 3x - 28
14.Graph the quadratic formula: y = x2 + 2x – 1
15.Solve by quadratic formula: y = x2 + 3x + 2