{ ( 3 , 2 ) , ( 6 , 2 ) , ( 7 , 3 ) , ( 8 , 4 ) } \left\{\left(3,2\right),\left(6,2\right),\left(7,3\right),\left(8,4\right)\right\} { ( 3 , 2 ) , ( 6 , 2 ) , ( 7 , 3 ) , ( 8 , 4 ) } What is the range of the function below?

{ 2 , 3 , 4 } \left\{2,3,4\right\} { 2 , 3 , 4 }

{ 7 , 3 , 8 , 4 } \left\{7,3,8,4\right\} { 7 , 3 , 8 , 4 }

{ 3 , − 6 , 7 , 8 } \left\{3,-6,7,8\right\} { 3 , − 6 , 7 , 8 }

{ 3 , 2 , − 6 , 2 } \left\{3,2,-6,2\right\} { 3 , 2 , − 6 , 2 }

What is the solution to this system of equations? 2 y = 4 2y=4 2 y = 4 − x = − 3 -x=-3 − x = − 3

( 3 , 2 ) \left(3,2\right) ( 3 , 2 )

( 2 , 3 ) \left(2,3\right) ( 2 , 3 )

( − 3 , 2 ) \left(-3,2\right) ( − 3 , 2 )

( − 3 , 4 ) \left(-3,4\right) ( − 3 , 4 )

What is the solution to the system of equations? x = y + 4 x=y+4 x = y + 4 2 x − 3 y = − 2 2x-3y=-2 2 x − 3 y = − 2

( 14 , 10 ) \left(14,10\right) ( 1 4 , 1 0 )

( 6 , 10 ) \left(6,10\right) ( 6 , 1 0 )

( 9 , 5 ) \left(9,5\right) ( 9 , 5 )

( 10 , 6 ) \left(10,6\right) ( 1 0 , 6 )

Given F = 9 5 C + 32 F=\frac{9}{5}C\ +32 F = 5 9 C + 3 2 , the conversion formula for Fahrenheit to Celsius, solve for C.

C = 5 9 ( F − 32 ) C=\frac{5}{9}\left(F-32\right) C = 9 5 ( F − 3 2 )

C = 9 5 ( F − 32 ) C=\frac{9}{5}\left(F-32\right) C = 5 9 ( F − 3 2 )

C = 9 5 ⋅ F 32 C=\frac{9}{5}\cdot\frac{F}{32} C = 5 9 ⋅ 3 2 F

C = 5 9 ⋅ F 32 C=\frac{5}{9}\cdot\frac{F}{32} C = 9 5 ⋅ 3 2 F

x + 3 y = 7 x+3y=7 x + 3 y = 7 x − 3 y = 1 x-3y=1 x − 3 y = 1 Solve the systems of equations.

x = 4 , y = 1 x=4,\ y=1 x = 4 , y = 1

x = 1 , y = 4 x=1,\ y=4 x = 1 , y = 4

x = − 2 3 , y = 3 x=-\frac{2}{3},\ y=3 x = − 3 2 , y = 3

x = 3 , y = − 2 3 x=3,\ y=-\frac{2}{3} x = 3 , y = − 3 2

5 x − 2 y = 3 5x-2y=3 5 x − 2 y = 3 − 5 x + 4 y = 9 -5x+4y=9 − 5 x + 4 y = 9 Solve the systems of the equations.

( 3 , 6 ) \left(3,6\right) ( 3 , 6 )

( 6 , 3 ) \left(6,3\right) ( 6 , 3 )

( 6 , 13 1 2 ) \left(6,\ 13\ \frac{1}{2}\right) ( 6 , 1 3 2 1 )

( 1 , 0 ) \left(1,0\right) ( 1 , 0 )

5 x + 3 y = − 2 5x+3y=-2 5 x + 3 y = − 2 3 x + 2 y = − 1 3x+2y=-1 3 x + 2 y = − 1 Solve the system of equations.

( − 1 , 1 ) \left(-1,1\right) ( − 1 , 1 )

( 1 , − 1 ) \left(1,-1\right) ( 1 , − 1 )

( − 1 , − 2 ) \left(-1,-2\right) ( − 1 , − 2 )

( 1 3 , 1 ) \left(\frac{1}{3},1\right) ( 3 1 , 1 )

Solve: 3 x − 7 − 2 x + 5 = 6 3x-7-2x+5=6 3 x − 7 − 2 x + 5 = 6

− 18 5 -\frac{18}{5} − 5 1 8

V = 2 π r T V=\frac{2\pi r}{T} V = T 2 π r Rearrange the formula for r.

r = T V 2 π r=\frac{TV}{2\pi} r = 2 π T V

r = π 2 T V r=\frac{\pi}{2TV} r = 2 T V π

r = 2 π T V r=\frac{2\pi}{TV} r = T V 2 π

r = 2 T V π r=\frac{2TV}{\pi} r = π 2 T V

Which number is IRRATIONAL?

9.4 \sqrt{9.4} 9 . 4 <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">

The admission fee for a soccer game is $5 for adults and $3 for children. 2,600 people attended the game and $11,400 is collected in ticket sales. Which system of equations yields the cost of an adult ticket, a, and a child ticket, c?

a + c = 2 , 600 a+c=2,600 a + c = 2 , 6 0 0 5 a + 3 c = 11 , 400 5a+3c=11,400 5 a + 3 c = 1 1 , 4 0 0

a + c = 2 , 600 a+c=2,600 a + c = 2 , 6 0 0 a + b = 11 , 400 a+b=11,400 a + b = 1 1 , 4 0 0

a + c = 11 , 400 a+c=11,400 a + c = 1 1 , 4 0 0 5 a + 3 c = 2 , 600 5a+3c=2,600 5 a + 3 c = 2 , 6 0 0

5 a + 3 c = 2 , 600 5a+3c=2,600 5 a + 3 c = 2 , 6 0 0 5 a + 3 x = 11 , 400 5a+3x=11,400 5 a + 3 x = 1 1 , 4 0 0

An online data base charges $25 an hour during the day and $12.50 an hour at night. If a research company paid $250 for 12 hours of use, which system of equations could be used to determine the number of hours charged at the day rate (d) and at the night rate (n).

d + n = 12 d+n=12 d + n = 1 2 25 d + 12.50 n = 250 25d+12.50n=250 2 5 d + 1 2 . 5 0 n = 2 5 0

25 d + n = 250 25d+n=250 2 5 d + n = 2 5 0 d + n = 12 d+n=12 d + n = 1 2

d − n = 12 d-n=12 d − n = 1 2 25 d + 12.50 n = 250 25d+12.50n=250 2 5 d + 1 2 . 5 0 n = 2 5 0

12 d − 12.50 n = 250 12d-12.50n=250 1 2 d − 1 2 . 5 0 n = 2 5 0 d + n = 250 d+n=250 d + n = 2 5 0

Chapter 4 Study Guide

Authored by Serenity Ward

Mathematics

9th Grade

CCSS covered

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MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which number is RATIONAL?

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the value of x when -3x + 7x =-12

$-3$

$-\frac{6}{5}$

$3$

$\frac{4}{7}$

Tags

CCSS.7.EE.B.4A

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

$\left\{\left(3,2\right),\left(6,2\right),\left(7,3\right),\left(8,4\right)\right\}$
What is the range of the function below?

$\left\{2,3,4\right\}$

$\left\{7,3,8,4\right\}$

$\left\{3,-6,7,8\right\}$

$\left\{3,2,-6,2\right\}$

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the solution to this system of equations?

$2y=4$
$-x=-3$

$\left(2,3\right)$

$\left(-3,2\right)$

$\left(3,2\right)$

$\left(-3,4\right)$

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the solution to the system of equations?

$x=y+4$

$2x-3y=-2$

$\left(6,10\right)$

$\left(9,5\right)$

$\left(10,6\right)$

$\left(14,10\right)$

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which set of points lies on the graph of the function?

{(0,0), (1,1), and (2,2)}

{(1,1), (1,2), and (2,3)}

{(0,0), (-1,1), and (1,2)}

{(0,0), (-1,1), and (1,-1)}

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Given $F=\frac{9}{5}C\ +32$ , the conversion formula for Fahrenheit to Celsius, solve for C.

$C=\frac{5}{9}\left(F-32\right)$

$C=\frac{9}{5}\left(F-32\right)$

$C=\frac{9}{5}\cdot\frac{F}{32}$

$C=\frac{5}{9}\cdot\frac{F}{32}$

Tags

CCSS.HSA.CED.A.4

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

$5y^6$

Which portion of the expression is the coefficient?

$5$

$y$

$6$

$5y^6$

Tags

CCSS.6.EE.A.2B

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

The graph of the function is shown. f(3)=

$-2$

$0$

$2$

$5$

Tags

CCSS.HSF.IF.A.2

10.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which graph models the equation below?
$3x+2y=6$

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Chapter 4 Study Guide

Which number is RATIONAL?

What is the value of x when -3x + 7x =-12

{(3,2),(6,2),(7,3),(8,4)}\left\{\left(3,2\right),\left(6,2\right),\left(7,3\right),\left(8,4\right)\right\}{(3,2),(6,2),(7,3),(8,4)} What is the range of the function below?

What is the solution to this system of equations? 2y=42y=42y=4 −x=−3-x=-3−x=−3

What is the solution to the system of equations? x=y+4x=y+4x=y+4 2x−3y=−22x-3y=-22x−3y=−2

Which set of points lies on the graph of the function?

Given F=95C +32F=\frac{9}{5}C\ +32F=59​C +32 , the conversion formula for Fahrenheit to Celsius, solve for C.

5y65y^65y6 Which portion of the expression is the coefficient?

The graph of the function is shown. f(3)=

Which graph models the equation below? 3x+2y=63x+2y=63x+2y=6

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$\left\{\left(3,2\right),\left(6,2\right),\left(7,3\right),\left(8,4\right)\right\}$
What is the range of the function below?

What is the solution to this system of equations?

$2y=4$
$-x=-3$

What is the solution to the system of equations?

$x=y+4$

$2x-3y=-2$

Given $F=\frac{9}{5}C\ +32$ , the conversion formula for Fahrenheit to Celsius, solve for C.

$5y^6$

Which portion of the expression is the coefficient?

Which graph models the equation below?
$3x+2y=6$