IM Unit 7 Review

Presentation

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSA-REI.B.4B, HSA.APR.C.4, HSN.RN.B.3

Standards-aligned

Josette Castell

Used 3+ times

FREE Resource

11 Slides • 10 Questions

IM Unit 7 Review

Quadratic Equations

Multiple Select

Select all expressions that are squares of linear expressions.

$x^2+6x+36$

$\left(\frac{1}{2}x+4\right)^2$

$\left(2d+8\right)\left(2d-8\right)$

$p^2-6p+9$

$x^2+36$

Multiple Select

Select all equations that are equivalent to $x^2+6x=16$

$x^2+6x+9=0$

$x^2+6x+9=16$

$x^2+6x+9=25$

$\left(x+3\right)^2=0$

$\left(x+3\right)^2=25$

Multiple Choice

A quadratic function is defined by $f\left(x\right)=x^2-8x-4$

Which expression also defines f and best reveals the maximum or minimum of the function?

$\left(x-4\right)^2+20$

$x\left(x-8\right)-4$

$\left(x-4\right)^2+12$

$\left(x-4\right)^2-20$

Fill in the Blanks

Solve the following equation by completing the square: $x^2-12x=-20$

x =

Type answer...

Either solution to x will be marked correct.

Fill in the Blanks

Solve the following equation by completing the square: $9x^2+12x+5=10$

x =

Type answer...

Either solution for x will be marked as correct. Do not put spaces in your answer.

Fill in the Blanks

Solve the following equation: $4x^2-5x-6=0$

Either solution of x will be marked correct. Do not put spaces in your answer.

Type answer...

Multiple Choice

A solution to an equation Jada solved is $-2+\sqrt{3}$ . She is trying to determine whether that solution is rational or irrational.

Jada knows that -2 is a rational number and $\sqrt{3}$ is an irrational number. She also knows that the sum of any two rational numbers is always rational.

If we add 2 to

-2+\sqrt{3}

, will the sum be rational or irrational?

rational

irrational

Open Ended

Explain why $-2+\sqrt{3}$ cannot be rational.

Type response here

When you add two rational numbers together, you should get another rational number.

Adding $-2+\sqrt{3}$ and 2 gives you an irrational number.

Fill in the Blanks

A community theater uses the function $p\left(d\right)=-4d^2+200d-100$ to model the profit (in dollars) expected in a weekend when the tickets to a comedy show are priced at d dollars each.

Write and solve an equation to find out the prices at which the theater would earn $1,500 in profit from the comedy show each weekend.

Either value of d will be marked as correct.

Type answer...

Open Ended

A community theater uses the function $p\left(d\right)=-4d^2+200d-100$ to model the profit (in dollars) expected in a weekend when the tickets to a comedy show are priced at d dollars each.
The profit will be $1,500 when d=10 or d=40.
At what price would the theater make the maximum profit, and what is that maximum profit? Show your reasoning.

Type response here

IM Unit 7 Review

Quadratic Equations

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