Completing the Square and Quadratic Formula

Authored by Andrew St.Germain

Mathematics

10th Grade

CCSS covered

Used 1+ times

Completing the Square and Quadratic Formula

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17 questions

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MATH RESPONSE QUESTION

30 sec • 1 pt

Find the value of c that completes the square in the expression
$x^2-16x+c$

$64$

Mathematical Equivalence

Tags

CCSS.HSA-REI.B.4B

MATH RESPONSE QUESTION

45 sec • 1 pt

Rewrite the expression $a^2−28a+$ _ as a perfect square (that has been factored).

$\left(a-14\right)^2$

Mathematical Equivalence

Tags

CCSS.HSA.APR.C.4

MATH RESPONSE QUESTION

45 sec • 1 pt

Rewrite the expression $x^2+19x+$ __ as a perfect square (that has been factored).

$\left(x+\frac{19}{2}\right)^2$

Mathematical Equivalence

Tags

CCSS.HSA-REI.B.4B

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the discriminant?

b²-4ac

b²/2a

4ac

b²±4ac

Tags

CCSS.HSA-REI.B.4B

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve 2x² + 7x - 15 = 0

$x=\left\{-\frac{3}{2},\ 5\right\}$

No Solution

$x=\left\{\frac{3}{2},\ -5\right\}$

$x=\left\{\frac{7}{10},\ 5\right\}$

Tags

CCSS.HSA-REI.B.4B

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve 4x² + 12x + 11 = 0

-2.2 or -0.8

-2 or -1

2 or 1

No Solution

Tags

CCSS.HSA-REI.B.4B

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Use the quadratic formula to find the solutions for
y = x² - 8x + 4

$4\pm4\ \sqrt[]{3}$

$-4\pm2\ \sqrt[]{3}$

$4\pm2\ \sqrt[]{3}$

$-4\pm4\ \sqrt[]{3}$

Tags

CCSS.HSA-REI.B.4B

10.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve for x:
x² - 2x - 1 = 0

$x=1\pm\sqrt[]{2}$

$x=1\pm2\ \sqrt[]{2}$

$x=1$

$x=-1\pm\sqrt[]{2}$

Tags

CCSS.HSA-REI.B.4B

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Completing the Square and Quadratic Formula

Find the value of c that completes the square in the expression
$x^2-16x+c$

Rewrite the expression $a^2−28a+$ _ as a perfect square (that has been factored).