Consider the relation shown. Which of the following statements is true?

The relation is not a function because a vertical line would cross the graph more than once.

The relation is not a function because a horizontal line would cross the graph more than once.

The relation is a function because it passes the vertical line test.

The relation is a one-to-one function because it passes both the vertical and horizontal line test.

The relation is a function, but it is not a one-to-one function.

What is the domain and range of the relation $$f\left(x\right)=\sqrt[]{x+1}-8$$ ?

D: $$\left[-1,\infty\right)$$ R: $$\left[-8,\infty\right)$$

D: $$\left[-8,\infty\right)$$ R: $$\left[-1,\infty\right)$$

D: $$\left(-\infty,1\right]$$ R: $$\left(-\infty,-8\right]$$

D: $$\left[1,\infty\right)$$ R: $$\left[-8,\infty\right)$$

D: $$\left(-\infty-1\right]$$ R: $$\left(-\infty,-8\right]$$

Are the following function inverses of one another: $$f\left(x\right)=5x+11$$ and $$g\left(x\right)=\frac{x-11}{5}$$ ?

yes, because $$f\left(g\left(x\right)\right)=x\ and\ g\left(f\left(x\right)\right)=x$$

no, the inverse of $$f\left(x\right)=5x+11$$ should be $$f^{-1}\left(x\right)=11x-5$$

no, the inverse of $$g\left(x\right)=\frac{x-11}{5}$$ should be $$g^{-1}\left(x\right)=\frac{x+5}{11}$$

no, neither of these have an inverse

Consider the equation $$2x^2-8x=5$$ . What would be the first step to solve this using the completing the square method?

Divide both sides of the equation by 2

Add 4 to both sides of the equation

Add 16 to both sides of the equation

Subtract 5 from both sides of the equation

Jan 24 Math Review

Authored by CHRISTOPHER CAVIN

Mathematics

9th - 12th Grade

CCSS covered

Used 2+ times

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20 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the triangle ,the side lengths are given in meters. Which of the following is true about $\angle F$ ?

$\sin F=\frac{4}{5}$

$\cos F=\frac{4}{5}$

$\tan F=\frac{4}{5}$

$\sin F=\frac{5}{4}$

$\cos F=\frac{5}{4}$

Tags

CCSS.HSG.SRT.C.6

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a factor of the polynomial $x^2-5x-36$ ?

$x-9$

$x-6$

$x-3$

$x+9$

$x+12$

Tags

CCSS.HSA.APR.B.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the product of the two solutions of the equation $x^2+2x-15=0$ ?

$-30$

$-15$

$-8$

$5$

$15$

Tags

CCSS.HSA-REI.B.4B

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the smallest positive integer y such that $\left|3-y\right|>6$ ?

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the possible values for p if $\left|p+3\right|=5$ ?

$-3\ and\ 3$

$-2\ and\ 2$

$-2\ and\ 8$

$2\ and\ -8$

$2\ and\ 8$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is an irrational number that is a solution to the equation $\left|q^2-12\right|-8=0$ ?

$2$

$2\sqrt[]{3}$

$\sqrt[]{5}$

$2\sqrt[]{5}$

$4\sqrt[]{5}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following must be true if $\left|2p\right|=-2p$ ?

$p\ge0$

$p\le0$

$p=0$

$p\ne0$

$p$ is not a real number.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

One of the following is an equation of the linear relation shown in the standard (x,y) coordinate plane. Which one is it?

$y=7x$

$y=3x$

$y=7x+3$

$y=3x-7$

$y=3x+7$

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Consider the functions $f\left(x\right)=2x^2-3$ and $g\left(x\right)=-2x+5$ . What is the value of $g\circ f\left(-5\right)$ ?

-89

-29

-17

125

447

Tags

CCSS.HSF-BF.A.1C

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Consider the function $h\left(x\right)=\sqrt[]{12-x}$ . Which of the following is true?

The domain is $\left[12,\infty\right)$

The range is $\left[12,\infty\right)$

The domain is $\left(-\infty,12\right]$

The range is $\left(-\infty,12\right]$

The domain is $\left(-\infty,-12\right]$

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Jan 24 Math Review

In the triangle ,the side lengths are given in meters. Which of the following is true about ∠F\angle F∠F ?

Which of the following is a factor of the polynomial x2−5x−36x^2-5x-36x2−5x−36 ?

What is the product of the two solutions of the equation x2+2x−15=0x^2+2x-15=0x2+2x−15=0 ?

What is the smallest positive integer y such that ∣3−y∣>6\left|3-y\right|>6∣3−y∣>6 ?

What are the possible values for p if ∣p+3∣=5\left|p+3\right|=5∣p+3∣=5 ?

Which of the following is an irrational number that is a solution to the equation ∣q2−12∣−8=0\left|q^2-12\right|-8=0​q2−12​−8=0 ?

Which of the following must be true if ∣2p∣=−2p\left|2p\right|=-2p∣2p∣=−2p ?

One of the following is an equation of the linear relation shown in the standard (x,y) coordinate plane. Which one is it?

Consider the functions f(x)=2x2−3f\left(x\right)=2x^2-3f(x)=2x2−3 and g(x)=−2x+5g\left(x\right)=-2x+5g(x)=−2x+5 . What is the value of g∘f(−5)g\circ f\left(-5\right)g∘f(−5) ?

Consider the function h(x)=12−xh\left(x\right)=\sqrt[]{12-x}h(x)=12−x​ . Which of the following is true?

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In the triangle ,the side lengths are given in meters. Which of the following is true about $\angle F$ ?

Which of the following is a factor of the polynomial $x^2-5x-36$ ?

What is the product of the two solutions of the equation $x^2+2x-15=0$ ?

What is the smallest positive integer y such that $\left|3-y\right|>6$ ?

What are the possible values for p if $\left|p+3\right|=5$ ?

Which of the following is an irrational number that is a solution to the equation $\left|q^2-12\right|-8=0$ ?

Which of the following must be true if $\left|2p\right|=-2p$ ?

Consider the functions $f\left(x\right)=2x^2-3$ and $g\left(x\right)=-2x+5$ . What is the value of $g\circ f\left(-5\right)$ ?

Consider the function $h\left(x\right)=\sqrt[]{12-x}$ . Which of the following is true?