Simplify the expression: 7 x 2 − 6 + 4 x + 7 − 5 x 2 + x 7x^{2\ }-6\ +\ 4x\ +7\ -5x^{2\ }+x 7 x 2 − 6 + 4 x + 7 − 5 x 2 + x

2 x 2 + 5 x + 1 2x^{2\ }+5x\ +1 2 x 2 + 5 x + 1

2 x 2 + 4 x + 1 2x^{2\ }+4x\ +\ 1 2 x 2 + 4 x + 1

12 x 2 + 5 x + 1 12x^{2\ }+5x\ +1 1 2 x 2 + 5 x + 1

12 x 2 + 4 x + 1 12x^{2\ \ }+\ 4x\ +1 1 2 x 2 + 4 x + 1

y + 5 = 1 3 ( x − 9 ) y\ +\ 5\ =\ \frac{1}{3}\left(x-9\right) y + 5 = 3 1 ( x − 9 ) Which equation is the same as the above equation, in slope-intercept form?

y = 1 3 x − 8 y\ =\ \frac{1}{3}x\ -8\ y = 3 1 x − 8

y = 1 3 x − 14 y\ =\ \frac{1}{3}x\ -14 y = 3 1 x − 1 4

y = 1 3 x − 4 y=\ \frac{1}{3}x\ -4 y = 3 1 x − 4

y = 1 3 x + 2 y\ =\ \frac{1}{3}x\ +\ 2 y = 3 1 x + 2

Which equation has a slope of -2/7 and contains the point (5, -6) ?

y + 6 = − 2 7 ( x − 5 ) y\ +6\ =\ -\frac{2}{7}\left(x-5\right) y + 6 = − 7 2 ( x − 5 )

y − 6 = − 2 7 ( x + 5 ) y-6\ =\ -\frac{2}{7}\left(x+5\right) y − 6 = − 7 2 ( x + 5 )

y + 5 = − 2 7 ( x − 6 ) y+5=-\frac{2}{7}\left(x-6\right) y + 5 = − 7 2 ( x − 6 )

y − 5 = − 2 7 ( x + 6 ) y-5=-\frac{2}{7}\left(x+6\right) y − 5 = − 7 2 ( x + 6 )

What is the square root of 45 in simplest radical form?

3 5 3\sqrt{5} 3 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

9 5 9\sqrt{5} 9 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

5 9 5\sqrt{9} 5 9 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

5 3 5\sqrt{3} 5 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

Which equation has roots of –3 and 5?

( x + 3 ) ( x − 5 ) = 0 \left(x+3\right)\left(x-5\right)=0 ( x + 3 ) ( x − 5 ) = 0

( x − 3 ) ( x + 5 ) = 0 \left(x-3\right)\left(x+5\right)=0 ( x − 3 ) ( x + 5 ) = 0

( x − 3 ) ( x − 5 ) = 0 \left(x-3\right)\left(x-5\right)=0 ( x − 3 ) ( x − 5 ) = 0

( x + 3 ) ( x + 5 ) = 0 \left(x+3\right)\left(x+5\right)=0 ( x + 3 ) ( x + 5 ) = 0

Solve the inequality for x: 5 − 3 x < 20 5-3x<20 5 − 3 x < 2 0

x > − 25 3 x>-\frac{25}{3} x > − 3 2 5

x < − 25 3 x<-\frac{25}{3} x < − 3 2 5

What is the solution set of ∣ 3 x − 2 ∣ = 7 ? \left|3x-2\right|=7\ ? ∣ 3 x − 2 ∣ = 7 ?

− 5 3 , 3 -\frac{5}{3},3 − 3 5 , 3

Algebra 2 Diagnostic

Quiz

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSA.REI.A.1, HSA.CED.A.2, HSG.GPE.B.5

+18

Standards-aligned

Ashton Betancourt

Used 144+ times

FREE Resource

23 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$f\left(x\right)=-3x+2x-5$
What is $f\left(-1\right)$ ?

-16

-10

-6

-4

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Simplify the expression:
$7x^{2\ }-6\ +\ 4x\ +7\ -5x^{2\ }+x$

$2x^{2\ }+5x\ +1$

$2x^{2\ }+4x\ +\ 1$

$12x^{2\ }+5x\ +1$

$12x^{2\ \ }+\ 4x\ +1$

Tags

CCSS.7.EE.A.1

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which graph represents the solution to the inequality
$x+\ 6\ \le-9?$

A

B

C

D

Tags

CCSS.7.EE.B.4B

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Calculate the slope of the line that passes through the points
(-4, 7) and (1, -7 ) .

$\frac{5}{14}$

\frac{-14}{5}

$-\frac{3}{14}$

$\frac{14}{3}$

Tags

CCSS.8.EE.B.5

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the equation of the line of the graph?

y\ =\ -\frac{1}{3}x\ +1

$y\ =\ -\frac{1}{3}x\ +\ 3$

$y\ =\ -3x\ +\ 1$

$y\ =\ -3x\ +\ 3$

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which describes the relationship between the two lines?
$y\ =\ 2x\ -3\$

$y=\ \frac{1}{2}x\ +\ 3$

The lines are parallel.

The lines are perpendicular.

The lines intersect, but are not perpendicular.

The lines are the same.

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$y\ +\ 5\ =\ \frac{1}{3}\left(x-9\right)$

Which equation is the same as the above equation, in slope-intercept form?

$y\ =\ \frac{1}{3}x\ -14$

$y\ =\ \frac{1}{3}x\ -8\$

$y=\ \frac{1}{3}x\ -4$

$y\ =\ \frac{1}{3}x\ +\ 2$

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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Algebra 2 Diagnostic

23 questions

$f\left(x\right)=-3x+2x-5$
What is $f\left(-1\right)$ ?

Simplify the expression:
$7x^{2\ }-6\ +\ 4x\ +7\ -5x^{2\ }+x$

Which graph represents the solution to the inequality
$x+\ 6\ \le-9?$

Calculate the slope of the line that passes through the points
(-4, 7) and (1, -7 ) .

What is the equation of the line of the graph?

Which describes the relationship between the two lines?
$y\ =\ 2x\ -3\$

$y=\ \frac{1}{2}x\ +\ 3$

$y\ +\ 5\ =\ \frac{1}{3}\left(x-9\right)$

Which equation is the same as the above equation, in slope-intercept form?

Which equation has a slope of -2/7 and contains the point (5, -6) ?

$z^{t\ }\cdot\ z^5\ =\ z^{15}$ What is the value of t in this equation?

$3^0\left(3^{-2}\right)$ Evaluate the expression

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Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Algebra 2 Diagnostic

23 questions

f(x)=−3x+2x−5f\left(x\right)=-3x+2x-5f(x)=−3x+2x−5 What is f(−1)f\left(-1\right)f(−1) ?

Simplify the expression: 7x2 −6 + 4x +7 −5x2 +x7x^{2\ }-6\ +\ 4x\ +7\ -5x^{2\ }+x7x2 −6 + 4x +7 −5x2 +x

Which graph represents the solution to the inequality x+ 6 ≤−9?x+\ 6\ \le-9?x+ 6 ≤−9?

Calculate the slope of the line that passes through the points(-4, 7) and (1, -7 ) .

What is the equation of the line of the graph?

Which describes the relationship between the two lines? y = 2x −3 y\ =\ 2x\ -3\ y = 2x −3 y= 12x + 3y=\ \frac{1}{2}x\ +\ 3y= 21​x + 3

y + 5 = 13(x−9)y\ +\ 5\ =\ \frac{1}{3}\left(x-9\right)y + 5 = 31​(x−9) Which equation is the same as the above equation, in slope-intercept form?

Which equation has a slope of -2/7 and contains the point (5, -6) ?

zt ⋅ z5 = z15z^{t\ }\cdot\ z^5\ =\ z^{15}zt ⋅ z5 = z15 What is the value of t in this equation?

30(3−2)3^0\left(3^{-2}\right)30(3−2) Evaluate the expression

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Popular Resources on Wayground

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$f\left(x\right)=-3x+2x-5$
What is $f\left(-1\right)$ ?

Simplify the expression:
$7x^{2\ }-6\ +\ 4x\ +7\ -5x^{2\ }+x$

Which graph represents the solution to the inequality
$x+\ 6\ \le-9?$

Calculate the slope of the line that passes through the points
(-4, 7) and (1, -7 ) .

Which describes the relationship between the two lines?
$y\ =\ 2x\ -3\$

$y=\ \frac{1}{2}x\ +\ 3$

$y\ +\ 5\ =\ \frac{1}{3}\left(x-9\right)$

Which equation is the same as the above equation, in slope-intercept form?

$z^{t\ }\cdot\ z^5\ =\ z^{15}$ What is the value of t in this equation?

$3^0\left(3^{-2}\right)$ Evaluate the expression