What is this formula?

This is the speed of light formula.

This is the zero product property.

Order the following steps for solving quadratic equations by factoring.

Set the quadratic equation equal to zero.

Set each factor equal to zero, and solve each for the variable.

Write the answer using curly braces in set notation .

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Solving Quadratic Equations With Rational Solutions

Solving Quadratic Equations with Rational Solutions

Authored by Anthony Clark

Mathematics

11th Grade

CCSS covered

Solving Quadratic Equations with Rational Solutions

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18 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

If x = -1 and x = 5 are two solutions to a quadratic equation, then what could the equation be?

$\left(x-1\right)\left(x+5\right)=0$

$\left(x-1\right)\left(x-5\right)=0$

$\left(x+1\right)\left(x+5\right)=0$

$\left(x+1\right)\left(x-5\right)=0$

Tags

CCSS.HSA-REI.B.4B

MULTIPLE CHOICE QUESTION

1 min • 1 pt

To solve the equation $\left(x+2\right)\left(x+3\right)=2$ Mary did the following $x+2\ =2$ or $x+3\ =2$ Therefore, $x=0$ or $x=-1$ Do you agree with Mary's work? EXPLAIN WHY

Yes, Mary's work is correct because she solved the equations correctly

Yes, Mary's work is correct because she applied the Zero Product Property correctly

No, Mary's work is not correct because she didn't solve the equations correctly

No, Mary's work is not correct because she misapplied the Zero Product Property

Tags

CCSS.HSA-REI.B.4B

DRAG AND DROP QUESTION

1 min • 1 pt

The quadratic shown is going to be solved by completing the square, the first step is shown Problem: x² + 6x = 5 Step 1: x² + 6x + (a) = (b) What are the missing values?

-6

-9

Tags

CCSS.HSA-REI.B.4B

REORDER QUESTION

1 min • 1 pt

What are the steps to solving this by completing the square?

Add 25 to both sides of the equation

Subtract 5 from both sides of the equation

Take the square root of both sides of the equation

Rewrite the left hand side as a (binomial)²

Subtract 21 from both sides of the equation

Tags

CCSS.HSA-REI.B.4B

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Determine the values of a, b, and c for the quadratic equation:
4x² – 8x = 3

a = 4, b = -8, c = 3

a = 4, b =-8, c =-3

a = 4, b = 8, c = 3

a = 4, b = 8, c = -3

DRAG AND DROP QUESTION

1 min • 1 pt

Complete the quadratic formula

$-b$

$b^2-4ac$

$2a$

$b$

$2b-4ac$

$b^2-4c$

$2$

$a^2$

$b^2-ac$

$2b$

Tags

CCSS.HSA-REI.B.4B

MATH RESPONSE QUESTION

1 min • 1 pt

Use the quadratic formula to type an expression that will yield the solutions to the equation above. You cannot type $\pm$ on the keyboard so instead put $+-$ DO NOT SIMPLIFY ANYTHING. JUST PLUG IN WITH PARENTHESES.

$\frac{-\left(8\right)+-\sqrt{\left(8\right)^2-4\left(2\right)\left(-7\right)}}{2\left(2\right)}$

Mathematical Equivalence

Tags

CCSS.HSA-REI.B.4B

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Solving Quadratic Equations with Rational Solutions

If x = -1 and x = 5 are two solutions to a quadratic equation, then what could the equation be?

To solve the equation (x+2)(x+3)=2\left(x+2\right)\left(x+3\right)=2(x+2)(x+3)=2 ​ ​ ​ ​ ​Mary did the following x+2 =2x+2\ =2x+2 =2 or x+3 =2x+3\ =2x+3 =2 Therefore, x=0x=0x=0 or x=−1x=-1x=−1 ​ Do you agree with Mary's work? EXPLAIN WHY

The quadratic shown is going to be solved by completing the square, the first step is shown Problem: x2 + 6x = 5 Step 1: x2 + 6x + ​ (a) = ​ (b) What are the missing values?

What are the steps to solving this by completing the square?

Determine the values of a, b, and c for the quadratic equation: 4x2 – 8x = 3

Complete the quadratic formula

Use the quadratic formula to type an expression that will yield the solutions to the equation above. You cannot type ±\pm± on the keyboard so instead put +−+-+− DO NOT SIMPLIFY ANYTHING. JUST PLUG IN WITH PARENTHESES.

How would you solve this quadratic equation?

What is this formula?

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Discover more resources for Mathematics

To solve the equation $\left(x+2\right)\left(x+3\right)=2$ Mary did the following $x+2\ =2$ or $x+3\ =2$ Therefore, $x=0$ or $x=-1$ Do you agree with Mary's work? EXPLAIN WHY

The quadratic shown is going to be solved by completing the square, the first step is shown Problem: x² + 6x = 5 Step 1: x² + 6x + (a) = (b) What are the missing values?

Determine the values of a, b, and c for the quadratic equation:
4x² – 8x = 3

Use the quadratic formula to type an expression that will yield the solutions to the equation above. You cannot type $\pm$ on the keyboard so instead put $+-$ DO NOT SIMPLIFY ANYTHING. JUST PLUG IN WITH PARENTHESES.