1. 6x – 4 = ¾x – 25 |x + 4| = 9 |2x – 3| = -15 |3x + 6| ≥ 12
Algebra 1 Review - Station 1
Solving Equations and Inequalities
Directions: Solve each equation or inequality. There may be more than one solution. Leave all non-integer answers in terms of simplified, improper fractions when applicable. No answers may be written in decimal form. If an equation/inequality has no solution, write “no solution.” 1. 2.
6x – 4 = ¾x – 25
|x + 4| = 9 3. 4.
|2x – 3| = -15 5. 6. 7. 8.
|3x + 6| ≥ 12

2. Algebra 1 Review - Station 2 Solving Systems of Equations
Directions: Solve each system of equations. Find solutions for both x and y. Be sure to check your solutions. 1. 2. 3. 4.

3. Algebra 1 Review Station 3
Factoring
Directions: Factor the expression as completely as possible. HINT: Look for a GCF first! 1. 2.
12x2y3 + 8xy5
m2 + 16m + 64 3. 4.
x2 + 11x - 60
w2 – 2w - 48 5. 6.
x2 - 16
36x2 – 49y2 7. 8.
2x2 + 5x + 3
-2a3 – 22a2 – 60a

4. Algebra 1 Review - Station 4 Solving Polynomial Equations
Directions: Solve each equation by Factoring or Taking the Square Root. Leave any non-integer answers as a simplified radical or simplified fraction. 1. 2. 3. 4. 5. 6. 7. 8.

5. Algebra 1 Review - Station 5
Simplifying Radicals
Directions: Perform all indicated operations with radicals. Please make sure that you simplify all answers into lowest radicals possible. 1. 2.
108 63 3. 4.
5 3 ∗6 15
3 2 ∗4 3 5. 6.
2 2 ∗3 8 7. 8.

6. Algebra 1 Review Stations - Answer Key
1) x = -4
2) x = 5 and x = -13
3) No Solution 4) 5) 6) 7) or 8)
Station 2
1) x = -1, y = -6
2) No Solution
3) x = 4, y = 0
4) x = 2, y = 1
Station 3
4xy3(3x + 2y2)
(m + 8)(m + 8)
3) (x + 15)(x – 4)
4) (w – 8)(w + 6)
(x – 4)(x + 4)
6) (6x – 7y)(6x + 7y)
7) (2x + 3)(x + 1)
8) -2a(a + 6)(a + 5)
(x + 17)(x – 3) = 0
x = -17, x = 3
(x + 12)(x – 2) = 0
x = -12, x = 2
3) (2x – 1)(x + 3) = 0
4) (2x + 3)(2x – 3) = 0
Station 4
x = , x = -3
x = , x =
2x(2x – 1)(x + 2) = 0
6) 3x(x – 4)(x + 3) = 0
7) x =
8) x =
x = 0, x = , x = -2
x = 0, x = 4, x = -3
Station 5
1) 6 3
2) 3 7
3) 12 6
4) 90 5
5) 24 6)
7) 4 3
8) 20