Solving Equations: Linear and Quadratic + Cubic Day II
Directions: For each equation below, determine if it is linear, quadratic or cubic. Then solve for x, if it is linear you should use the inverse
operations (SADM) and if it is quadratic or cubic you should get the equation to equal zero, factor and then solve each factor individually.
1) x2 – 9x + 20 = 0
2) 3x3 – 14x2 = 5x
3) 2x + 7 = 10
4) 4x2 – 4x + 5 = 4
5) 42x2 + x = 1
6) 4x3 – 20x2 = 25x
7) 3x2 – 16x = 35
8) 7 –
9) – 1 +
–
10) 4x2 – 9x – 9 = 0 11) x2 + 7x = 60
12) 12x3 – 11x2 = 5x
KEY
1) x = 5 or x = 4
7) x =7 or x = –
2) x = 0, x =
8) x = – 12
or x = 5
9) x = –
3) x = – 1.5
4) x =
10) x = 3 or x = –
5) x = –
or x =
6) x = 0 or x = 2.5
11) x = – 12 or x = 5
12) x = 0, x =
or x =
Solving Equations: Linear and Quadratic + Cubic Day II
Directions: For each equation below, determine if it is linear, quadratic or cubic. Then solve for x, if it is linear you should use the inverse
operations (SADM) and if it is quadratic or cubic you should get the equation to equal zero, factor and then solve each factor individually.
1) x2 – 9x + 20 = 0
2) 3x3 – 14x2 = 5x
3) 2x + 7 = 10
4) 4x2 – 4x + 5 = 4
5) 42x2 + x = 1
6) 4x3 – 20x2 = 25x
7) 3x2 – 16x = 35
8) 7 –
9) – 1 +
–
10) 4x2 – 9x – 9 = 0 11) x2 + 7x = 60
12) 12x3 – 11x2 = 5x
KEY
1) x = 5 or x = 4
7) x =7 or x = –
2) x = 0, x =
8) x = – 12
or x = 5
9) x = –
3) x = – 1.5
4) x =
10) x = 3 or x = –
5) x = –
or x =
6) x = 0 or x = 2.5
11) x = – 12 or x = 5
12) x = 0, x =
or x =
Solving Equations: Linear and Quadratic + Cubic Day II
Directions: For each equation below, determine if it is linear, quadratic or cubic. Then solve for x, if it is linear you should use the inverse
operations (SADM) and if it is quadratic or cubic you should get the equation to equal zero, factor and then solve each factor individually.
1) x2 – 9x + 20 = 0
2) 3x3 – 14x2 = 5x
3) 2x + 7 = 10
4) 4x2 – 4x + 5 = 4
5) 42x2 + x = 1
6) 4x3 – 20x2 = 25x
2
2
2
7) 3x – 16x = 35
8) 7 –
9) – 1 +
–
10) 4x – 9x – 9 = 0 11) x + 7x = 60
12) 12x3 – 11x2 = 5x
KEY
1) x = 5 or x = 4
7) x =7 or x = –
2) x = 0, x =
8) x = – 12
or x = 5
9) x = –
3) x = – 1.5
4) x =
10) x = 3 or x = –
5) x = –
or x =
6) x = 0 or x = 2.5
11) x = – 12 or x = 5
12) x = 0, x =
or x =