LEAP 2025 Algebra I Chapter 11

DOK: 2
1 pt

5.

Solve the equation c${}^{2}$ + 8c − 9 = 0 by completing the square.

A

c = {1, −9}

B

c = {−1, 9}

C

c = {3, 3}

D

c = {−3, −3}

DOK: 2
1 pt

6.

Using the quadratic formula, solve the following equation:

$3{\mathrm{x}}^{2}=9\mathrm{x}$

A

x = {0, 1}

B

x = {3, 1}

C

x = {0, 3}

D

x = {3, −3}

DOK: 2
1 pt

9.

Which of the following quadratic functions has a maximum?

A

$f\left(x\right)=-{(x+8)}^{2}+9$

B

$f\left(x\right)=\frac{3}{7}{(x-7)}^{2}+3$

C

$f\left(x\right)={(x+8)}^{2}+9$

D

$f\left(x\right)=\frac{7}{3}{(x+7)}^{2}-3$

DOK: 2
1 pt

11.

What is $f\left(x\right)=8{x}^{2}-48x+58$ in vertex form?

A

$f\left(x\right)=8{\left(x-3\right)}^{2}-14$

B

$f\left(x\right)=8{\left(x-3\right)}^{2}+14$

C

$f\left(x\right)=8{\left(x+3\right)}^{2}-14$

D

$f\left(x\right)=8{\left(x+3\right)}^{2}+14$

DOK: 2
1 pt

13.

What is the y-intercept of the quadratic function $f\left(x\right)=\frac{5}{9}{\left(x-7\right)}^{2}+4$?

A

$\left(0,\frac{245}{9}\right)$

B

$\left(0,\frac{281}{9}\right)$

C

$\left(0,245\right)$

D

$\left(0,281\right)$