Precalc Equations Review 10.7

Exam Name___________________________________

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the equation. 1) 6(x + 5) = 7 x - (3 - x) 51 A) { } 8

15 } B) {4

15 C) { } 4

51 } D) {8

Solve the equation by factoring. x-5 24 = 2) x x+5 A) {25, -1} 3) 6x - 41 =

2) B) {5, 1}

C) {5, -1}

D) {25, 1}

7 x

A) {-6, 7}

4) 12x2 - 5x - 25 = 0 5 5 A) { , - } 4 3

1)

3) B) {

1 1 ,- } 41 6

B) {-

C) {-

5 5 , } 4 3

1 , 7} 6

5 5 C) { , } 4 3

D) {-

D) {-

1 , 6} 6

5 5 ,- } 4 3

4)

Find the real solutions, if any, of the equation. Use the quadratic formula. 5) 8x2 - x + 2 = 0 -1 - 65 1 + 65 , } A) { 16 16 C) {

5) B) {

-1 + 65 1 + 65 , } 16 16

-1 - 65 -1 + 65 , } 16 16

D) no real solution

Solve using the quadratic formula. Round any answers to two decimal places. 1 6) x2 - 2 3x = 3 4 A) {0.82, -14.67}

B) {-0.21, 14.67}

C) {-0.82, 14.67}

6) D) {0.21, -14.67}

Use the discriminant to determine whether the quadratic equation has two unequal real solutions, a repeated real solution, or no real solution without solving the equation.

7) x2 + 4x + 4 = 0

7)

A) repeated real solution B) two unequal real solutions C) no real solution

1

8) x2 - 4x + 7 = 0

8)

A) repeated real solution B) two unequal real solutions C) no real solution Find the real solutions of the equation. 9) 3x4 + 13x2 - 10 = 0 5 5 , } A) {3 3

9) B) {-

5,

2 2 C) {- , } 3 3

5}

D) {-

2 , 3

2 } 3

Find the real solutions of the equation. Use a calculator to express the solutions rounded to two decimal places. 10) x2/5 - 3x1/5 - 4 = 0 A) {-1, 1.32}

10) B) {-1}

C) {-1, 1024}

D) {-1, 4}

Find the real solutions of the equation by factoring. 11) x3 - 144x = 0 A) {0, 12}

11) B) {0, -12}

C) {0, 144}

D) {0, 12, -12}

12) x3 + 6x 2 - 9x - 54 = 0 A) {-3, 3, -6}

12) B) {3, -6}

C) {9, -6}

D) {-3, 3, 6}

Solve the equation. 13) |x2 - 7x| = 0 A) {-7, 0, 7}

13) B) {-7, 0}

C) {0, 7}

D) no solution

14) |2x + 4| + 9 = 17 A) {- 2, 6}

14) B) {1, - 3}

C) {2, - 6}

2

D) no solution