Algebra 1 Final

Choose all true statements about the function. f(x) = 2x² + 4x - 6 I. The vertex is (-1, -8) II. The graph opens downward III. The discriminant is 64 IV. The function is a cubic trinomial V. The function has a degree of 2

• I, III, and IV

• I and III

• III and V

• I, III, and V

Solve the system using any method.

y = -2x - 1

y = x + 5

• (-2, 3)

• (2, 3)

• (-2, -3)

• (2, -3)

–13c = –52

• -4.5

• 676

• 4

• -676

–24 – a = –15

• 9

• -39

• 39

• -9

12 – 3x = 6

• 6

• -6

• 2

• -2

5c – 15 = 2c + 6

• 7

• -3

4 (x + 4) = 2 (2x +8)

• 8 ≠ 10 no solution

• x = 16

• 4=4 infinite solutions

• 16=16 infinite solutions

Translate into an equation:

One less than 4 times a number is 11

• 1-4n=11

• 4n-11=1

• 1-11=4n

• 4n-1=11

Translate into an equation:

Twice a number decreased by 5 is 7 more than the number.

• 5 - 2n = 7 + n

• 2n - 5 = 7 + n

• 5 - 2n = n +7

Solve: ¾x + 3y = 12

for x when y = 3

• y= 4

• x=6

• x=4

• y= 12