Equations Practice 2 Precalc

Practice Questions Name___________________________________

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the equation by factoring. 1) 18 - x2 + 3x = 0 A) {6, -3}

2) 5x2 + 14x - 3 = 0 A) {1, -3}

1) B) {6, 3}

C) {-3, -6}

1 , -3 B) 5

1 C) - , 3 5

D) {3, -6}

2) D) - 5, 3

Find the real or imaginary solutions by using the quadratic formula. 3) 2m 2 + 8m + 7 = 0 -4 ± 30 A) 2

-4 ± 2 B) 2

4) x2 + 35 = 5x 5 ± i 115 A) 2

5 ± 5i B) 2

3)

-8 ± 2 C) 2

-4 ± 2 D) 4

4) C) {0, 5}

1

D) {±5}

Solve the equation. 2x + 3 3x =x 5) 2 x-2 A) - 1

6)

5) B)

2 3

C) -

2 5

D) - 2

15 15 + =4 x-2 x+2

A)

1 , -8 2

6) B) -

1 ,8 2

C) - 2, -8

D) {2, 8}

Solve the equation or inequality. 7) 2x + 4 + 2 = 10 A) 1, - 3

7) B) 2, - 6

C) - 2, 6

D)

Solve the equation. 2 =4 8) x+3 A)

7 5 , 2 2

8) B)

5 7 , 2 2

C) -

2

5 7 ,2 2

D) {-3}

9)

x-5 x+2 = 9 7

A)

17 2

9) B)

53 16

C) -

53 2

D) -

23 2

10) 2x + 7 - 5(x + 1) = -(-4x - 7) 5 9 A) B) 7 7

5 C) 2

9 D) 2

11) (2m - 7)2 + 4(2m - 7) - 12 = 0 1 9 13 5 , } A) {- , - } B) {2 2 7 2

13 5 C) { , - } 2 2

1 9 D) { , } 2 2

12) (-8p + 3)2 = -10(-8p + 3) - 21 1 1 3 A) { , 0} B) {- 1 , - } 2 4 4

1 3 C) {1 , } 4 4

3

10)

11)

12) D) {-7,-3}