What are the solutions to each equation?
(1) x2 - x - 12 = 0
| A x = -6 or x = 2 | B x = 12 or x = 1 | C x = 4 or x = -3 |
| D x = -3 or x = -4 | E x = -4 or x = 8 |
(2) x2 + x - 2 = 4
| F x = 4 or x = -2 | G x = 2 or x = -3 | H x = 1 or x = -6 |
| J x = 6 or x = -1 | K x = -2 or x = 3 |
(3) 8x = -x2 - 15
| A x = -6 or x = 2 | B x = 12 or x = 1 | C x = 4 or x = -3 |
| D x = -3 or x = -5 | E x = -4 or x = 8 |
(4) 9x = -x2 - 20
| F x = -4 or x = -5 | G x = 2 or x = 10 | H x = 4 or x = 5 |
| J x = -5 or x = 3 | K x = -2 or x = 10 |
(5) 18 - 7x = x2
| A x = -9 or x = 2 | B x = 9 or x = -2 | C x = 6 or x = -3 |
| D x = 9 or x = 2 | E x = -6 or x = 3 |
(6) 6 - 5x = x2
| F x = 2 or x = -3 | G x = -2 or x = 3 | H x = 1 or x = -6 |
| J x = 6 or x = -1 | K x = -2 or x = -3 |
(7) x2 + 4x = 5
| A x = -5 or x = -1 | B x = 5 or x = 1 | C x = 5 or x = -1 |
| D x = -5 or x = 1 | E x = -4 or x = -1 |
(8) 5x - 2 = 3x2
| F x = 2/3 or x = 1 | G x = 1/3 or x = 2 | H x = -2/3 or x = -1 |
| J x = -1/3 or x = -2 | K x = 1/3 or x = -2 |
(9) 2x2 + 7 = 15x
| A x = 2 or x = 7 | B x = 1/2 or x = 7 | C x = -1/2 or x = -7 |
| D x = 7/2 or x = 1 | E x = -7/2 or x = -1 |
| OPEN-ENDED QUESTION |
(10) Solve (2x + 3)(x - 5) = x2 + 9x -43.
Explain each step of the solution.
| CUMULATIVE REVIEW |
(1) The sides of a triangle have lengths 3x - 2, x + 5, and 2x - 6.
Which of the following describes the perimeter, P, of the triangle in terms of x?
| A P = 6x - 3 | B P = 5x - 3 | C P = 6x - 11 |
| D P = 6x + 11 | E P = 5x - 11 |
(2) Fran wants to earn $300 in interest by depositing money in an account for
three years at 5% simple interest. Using the formula I = PRT, where I is the amount
of interest, P is the amount deposited, r is the rate of interest, and t is the time
in years, what is the amount Fran should deposit into the account?
| F $200 | G $2000 | H $15 | J $45 | K $6000 |