Math Semester 2 Final

Solve x^2+16x=-15 by completing the square

(-15,-1)

Solve for x in 3x + 2≤ - x - 2 (A) x≤ - 1 (B) x≥ - 1 (C) x≤ 0 (D) x≥ - 2

(A) x≤ - 1

Solve for y in 2y + 5 = - 3y - 10 (A) y = - 3 (B) y = 3 (C) y = - 1 (D) y = 1

(A) y = - 3

Meredith and Molly go shopping. Meredith buys a shirt for $10 and two pairs of pants for $10 each. She has $15 left over. Molly buys a dress for $50 and two packs of cards. If Molly started with $20 more than Meredith, and if Molly spent all her money, how much does one pack of cards cost? (A) $15 (B) $7.50 (C) $6.50 (D) $2.50

(B) $7.50

If the disciminant is equal to zero how many x-intercepts do you have?

One

At which of the following points do the two equations f(x)= 3x^2+5 and g(x)=4x+4 intersect? A. (1,8) B. (0,5) C. (0,4) D. (8,1)

A. (1,8)

Select the equation that is equivalent to x^2-8x+24=0 A. (x-4)^2=-8 B.(x-8)^2=-24 C. (x-12)^2=136 D. (x-16)^2=232

A. (x-4)^2= -8

Solve y^2+6y+9=49

y=4 or y= -10

Solve for x in x^ 2 + 6x + 9 = 0 (A) x = 3 (B)x=-3 (C) x = - 3, 3 (D) No solutions.

(B)x=-3

What is the x -intercept of y - 6 = 3(x + 2) ? (A) (- 2, 6) (B) (0, 12) (C) (- 4, 0) (D) (0, 0)

(C) (- 4, 0)

Which of the following is a solution set to x^ 2 - 12 = 5x + 2 (A) {2, 7} (B) { -7, 2} (C) { -2, 7} (D) { -2, 7, 0}

(C) { -2, 7}

The median of {2, 3, 6, x, 11, -2} is 4.5 . Which of the following numbers could be a value of x ? (A) x = 1 (B) x = 3 (C) x = 4.5 (D) x = 6

(D) x = 6

Which of the following functions is equivalent to f(x)=x^2-6x +8 A. f(x)=(x-6)^2 -28 B. f(x)= (x-2)(x-4) C. f(x)= (x-3)^2-9 D. f(x)= (x-3)(x-3) E. f(x)= (x-3)^2-1

B. f(x)= (x-2)(x-4) E. f(x)= (x-3)^2-1

If the discriminant is negative, how many x-intercepts do you have? positive?

Negative: no real solution Positive: 2

IF K>0, then x^2=K has how many real number roots?

Two real number roots

Are the following inequalities true or false? a) 3 + 5 > 3×3 b) 3 + 5≥3×3 c) 3 + 5 < 3×3 d) 3 + 5≤3×3 e) 3 + 5≠3×3

a) False. b) False. c) True. d) True. e) True.

What id the standard form of a quadratic equation?

ax^2+bx+c=0

IF K<0, then x^2=K has how many real number roots?

no real number roots

IF K=0, then x^2=K has how many real number roots?

one real number root

Solve for x : - (x + 2) < 5

x > - 7

Solve for x : 3x - 4≤14

x≤6