The value of y varies directly with x. When y = 75 , x = 1 2 . y=75,\ x=\frac{1}{2}. y = 7 5 , x = 2 1 . The value of y varies directly with x. What is the value of y when x is 2 1 4 2\frac{1}{4} 2 4 1 ?

337 1 2 337\frac{1}{2} 3 3 7 2 1

168 3 4 168\frac{3}{4} 1 6 8 4 3

Julie made 25 international long-distance phone calls to London last month. The scatterplot below shows the length and cost of each phone call she made. Which conclusion is best supported by the scatterplot?

There is no relationship between the length of a call and the cost of a call.

As the length of a call increases, the cost of the call increases.

As the length of a call increases, the cost of the call remains the same.

As the length of a call increases, the cost of the call decreases.

What are the slope and the y-intercept of the graph of the linear function shown on the grid?

S l o p e = − 1 4 , y − i n t e r c e p t = − 1.5 Slope=-\frac{1}{4},\ y-intercept=-1.5\ S l o p e = − 4 1 , y − i n t e r c e p t = − 1 . 5

S l o p e = 4 , y − i n t e r c e p t = 6 Slope=4,\ y-intercept=6 S l o p e = 4 , y − i n t e r c e p t = 6

S l o p e = 4 , y − i n t e r c e p t = 1.5 Slope=4,\ y-intercept=1.5 S l o p e = 4 , y − i n t e r c e p t = 1 . 5

S l o p e = 1 4 , y − i n t e r c e p t = 6 Slope=\frac{1}{4},\ y-intercept=6 S l o p e = 4 1 , y − i n t e r c e p t = 6

A preschool has a rectangular field and a rectangular playground that are similar in shape. Each dimension of the field is 3.2 times the corresponding dimension of the playground. Which statement is true?

The area of the field is 10.24 times the area of the playground.

The area of the field is 6.4 times the area of the playground.

The perimeter of the field is 6.4 times the perimeter of the playground.

The perimeter of the field is 10.24 times the perimeter of the playground.

Which function is best represented by this graph?

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

y = 1 2 x + 6 y=\frac{1}{2}x+6 y = 2 1 x + 6

y = − 2 x + 3 y=-2x+3 y = − 2 x + 3

The coordinates of the vertices of a quadrilateral are P (1, 2), R (1, 4), S (3, 4), and T (4, 2). Quadrilateral PRST is reflected across the y-axis to create quadrilateral P'R'S'T' . Which rule describes this transformation?

( x , y ) → ( − x , y ) \left(x,\ y\right)\ \rightarrow\left(-x,\ y\right) ( x , y ) → ( − x , y )

( x , y ) → ( x , − y ) \left(x,\ y\right)\rightarrow\left(x,\ -y\right) ( x , y ) → ( x , − y )

( x , y ) → ( y , − x ) \left(x,\ y\right)\ \rightarrow\left(y,\ -x\right) ( x , y ) → ( y , − x )

( x , y ) → ( y , − x ) \left(x,\ y\right)\rightarrow\left(y,\ -x\right) ( x , y ) → ( y , − x )

Which situation represents a proportional relationship?

The cost of purchasing apples for $1.75 per pound plus a shipping fee of $0.16 per pound

The cost of purchasing a basket of oranges for $1.30 per pound plus $5.00 for the basket

The cost of purchasing peaches for $7.00 per box of peaches with a delivery charge of $3.00

The cost of purchasing grapefruit for $1.80 per pound with a coupon for $1.00 off the total cost

Triangles PQR and RST are similar right triangles. Which proportion can be used to show that the slope of P R ‾ \overline{PR} P R is equal to the slope of R T ‾ \overline{RT} R T ?

3 − 7 − 4 − ( − 7 ) = − 5 − 3 2 − ( − 4 ) \frac{3-7}{-4-\left(-7\right)}=\frac{-5-3}{2-\left(-4\right)} − 4 − ( − 7 ) 3 − 7 = 2 − ( − 4 ) − 5 − 3

3 − ( − 4 ) 7 − ( − 7 ) = − 5 − 2 3 − ( − 4 ) \frac{3-\left(-4\right)}{7-\left(-7\right)}=\frac{-5-2}{3-\left(-4\right)} 7 − ( − 7 ) 3 − ( − 4 ) = 3 − ( − 4 ) − 5 − 2

− 4 − ( − 7 ) 3 − 7 = 2 − ( − 4 ) − 5 − 3 \frac{-4-\left(-7\right)}{3-7}=\frac{2-\left(-4\right)}{-5-3} 3 − 7 − 4 − ( − 7 ) = − 5 − 3 2 − ( − 4 )

− 4 − ( − 3 ) − 7 − 7 = 2 − ( − 5 ) − 4 − 3 \frac{-4-\left(-3\right)}{-7-7}=\frac{2-\left(-5\right)}{-4-3} − 7 − 7 − 4 − ( − 3 ) = − 4 − 3 2 − ( − 5 )

Four triangles are shown. Based on these triangles, which statement is true?

w = 105°, because 180 - (45 + 60) = 75 and 180 - 75 = 105

w = 75°, because 45 + 60 = 105 and 180 - 105 = 75

w = 285°, because 45 + 60 = 105 and 105 + 180 = 285

w = 165°, because 180 - 60 = 120 and 120 + 45 = 165

Which set of ordered pairs represents y as a function of x?

{(2, -1), (4, -2), (6, -3), (8, -4)}

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

{(3, 3), (3, 4), (4, 3), (4, 4)}

{1, -5), (1, 5), (2, -10), (2, -15)}

Circle I was dilated with the origin as the center of dilation to create Circle II. Which rule best represents the dilation applied to Circle I to create Circle II?

( x , y ) → ( 8 3 x , 8 3 y ) \left(x,\ y\right)\rightarrow\left(\frac{8}{3}x,\ \frac{8}{3}y\right) ( x , y ) → ( 3 8 x , 3 8 y )

( x , y ) → ( 3 8 x , 3 8 y ) \left(x,\ y\right)\rightarrow\left(\frac{3}{8}x,\ \frac{3}{8}y\right) ( x , y ) → ( 8 3 x , 8 3 y )

( x , y ) → ( x + 5 , y + 5 ) \left(x,\ y\right)\rightarrow\left(x+5,\ y+5\right) ( x , y ) → ( x + 5 , y + 5 )

( x , y ) → ( x − 5 , y − 5 ) \left(x,\ y\right)\rightarrow\left(x-5,\ y-5\right) ( x , y ) → ( x − 5 , y − 5 )

Which statement describes the mapping?

The mapping represents y as a function of x, because each x-value corresponds to exactly one y-value.

The mapping represents y as a function of x, because each y-value corresponds to exactly one x-value.

The mapping does not represent y as a function of x, because two of the x-values correspond to the same y-value.

The mapping does not represent y as a function of x, because there are more x-values than different corresponding y-values.

Three groups of students used different methods to estimate the diagonal length of a patio in feet. Their results were: 4 13 4\sqrt{13} 4 1 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"> ft 14 2 5 14\frac{2}{5} 1 4 5 2 ft 14.33 14.33 1 4 . 3 3 ft Which list shows these diagonal lengths in order from greatest to least?

4 13 , 14 2 5 , 14.33 4\sqrt{13},\ 14\frac{2}{5},\ 14.33 4 1 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"> , 1 4 5 2 , 1 4 . 3 3

14.33 , 14 2 5 , 4 13 14.33,\ 14\frac{2}{5},\ 4\sqrt{13} 1 4 . 3 3 , 1 4 5 2 , 4 1 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">

14.33 , 4 13 , 14 2 5 14.33,\ 4\sqrt{13},\ 14\frac{2}{5} 1 4 . 3 3 , 4 1 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"> , 1 4 5 2

14 2 5 , 14.33 , 4 13 14\frac{2}{5},\ 14.33,\ 4\sqrt{13} 1 4 5 2 , 1 4 . 3 3 , 4 1 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 representation of a transformation on a coordinate grid does not preserve congruence?

( x , y ) → ( 1 7 x , 1 7 y ) \left(x,\ y\right)\rightarrow\left(\frac{1}{7}x,\ \frac{1}{7}y\right) ( x , y ) → ( 7 1 x , 7 1 y )

( x , y ) → ( x + 7 , y + 7 ) \left(x,\ y\right)\rightarrow\left(x+7,\ y+7\right) ( x , y ) → ( x + 7 , y + 7 )

( x , y ) → ( x , − y ) \left(x,\ y\right)\rightarrow\left(x,\ -y\right) ( x , y ) → ( x , − y )

( x , y ) → ( y , − x ) \left(x,\ y\right)\rightarrow\left(y,-x\right) ( x , y ) → ( y , − x )

An artist joined three square regions at their vertices to create the figure shown in the diagram. The artist will use small congruent square tiles to cover each region without any gaps or overlaps. Based on the information, which statement is true?

The number of tiles needed to cover Region Z is the same as the number of tiles needed to cover both Region X and Region Y.

The number of tiles needed to cover Region X is the same as the number of tiles needed to cover both Region Y and Region Z.

The number of tiles needed to cover Region Y is the same as the number of tiles needed to cover both Region X and Region Z.

Which list shows the numbers in order from least to greatest? 5.78 , − 5.9 , 58 % , − 23 4 5.78,\ -5.9,\ 58\%,\ -\frac{23}{4} 5 . 7 8 , − 5 . 9 , 5 8 % , − 4 2 3

− 5.9 , − 23 4 , 58 % , 5.78 -5.9,\ -\frac{23}{4},\ 58\%,\ 5.78 − 5 . 9 , − 4 2 3 , 5 8 % , 5 . 7 8

− 5.9 , 23 4 , 5.78 , 58 % -5.9,\ \frac{23}{4},\ 5.78,\ 58\% − 5 . 9 , 4 2 3 , 5 . 7 8 , 5 8 %

− 23 4 , − 5.9 , 58 % , 5.78 -\frac{23}{4},\ -5.9,\ 58\%,\ 5.78 − 4 2 3 , − 5 . 9 , 5 8 % , 5 . 7 8

58 % , − 23 4 , 5.78 , − 5.9 58\%,\ -\frac{23}{4},\ 5.78,\ -5.9 5 8 % , − 4 2 3 , 5 . 7 8 , − 5 . 9

Triangle ABC was translated 2 units to the right and 3 units down. Which rule describes the translation that was applied to triangle ABC to create triangle A'B'C′ ?

( x , y ) → ( x + 2 , y − 3 ) \left(x,\ y\right)\rightarrow\left(x+2,\ y-3\right) ( x , y ) → ( x + 2 , y − 3 )

( x , y ) → ( x − 3 , y + 2 ) \left(x,\ y\right)\rightarrow\left(x-3,\ y+2\right) ( x , y ) → ( x − 3 , y + 2 )

( x , y ) → ( 2 x , − 3 y ) \left(x,\ y\right)\rightarrow\left(2x,\ -3y\right) ( x , y ) → ( 2 x , − 3 y )

( x , y ) → ( − 3 x , 2 y ) \left(x,\ y\right)\rightarrow\left(-3x,\ 2y\right) ( x , y ) → ( − 3 x , 2 y )

Pentagon ABCDE is rotated 180° clockwise about the origin to form pentagon A'B'C'D'E'. Which statement is true?

Pentagon ABCDE is congruent to pentagon A'B'C'D'E' .

The sum of the angle measures of pentagon A'BC'D'E' is 180° more than the sum of the angle measures of pentagon ABCDE.

Each side length of pentagon A'B'C'D'E' is 2 times the corresponding side length of pentagon A'B'C'D'E' .

Each side length of pentagon A'B'C'D'E' is 1 2 \frac{1}{2} 2 1 the corresponding side length of pentagon ABCDE .

Carolyn will buy the same number of stamps every month to add to a stamp collection her grandfather gave her. The table shows the number of stamps Carolyn will have at the end of x months. How many stamps was Carolyn given, and how many stamps will she buy every month?

Carolyn was given 200 stamps, and she will buy 50 stamps every month.

Carolyn was given 180 stamps, and she will buy 70 stamps every month.

Carolyn was given 180 stamps, and she will buy 50 stamps every month.

Carolyn was given 200 stamps, and she will buy 70 stamps every month.

The graph models the linear relationship between the charge for a trip and the number of miles driven for two taxis. Based on the graph, which statement appears to be true?

The charge for a trip with a distance of 5 miles is $20 for both Taxi 1 and Taxi 2.

The charge for a trip with a distance of 5 miles is $5 greater for Taxi 1 than for Taxi 2.

The charge for a trip with a distance of 5 miles is $5 less for Taxi 1 than for Taxi 2.

The charge for a trip with a distance of 5 miles cannot be determined for either Taxi 1 or Taxi 2.

Figure S, the small arrow, was dilated with the origin as the center of dilation to create Figure T, the large arrow. Which rule best represents the dilation that was applied to Figure S to create Figure T?

( x , y ) → ( 2 x , 2 y ) \left(x,\ y\right)\rightarrow\left(2x,\ 2y\right) ( x , y ) → ( 2 x , 2 y )

( x , y ) → ( 4 x , 4 y ) \left(x,\ y\right)\rightarrow\left(4x,\ 4y\right) ( x , y ) → ( 4 x , 4 y )

( x , y ) → ( 1 2 x , 1 2 y ) \left(x,\ y\right)\rightarrow\left(\frac{1}{2}x,\ \frac{1}{2}y\right) ( x , y ) → ( 2 1 x , 2 1 y )

( x , y ) → ( 1 4 x , 1 4 y ) \left(x,\ y\right)\rightarrow\left(\frac{1}{4}x,\ \frac{1}{4}y\right) ( x , y ) → ( 4 1 x , 4 1 y )

At a store each notebook has a cost of x dollars. Which situation can be represented by this inequality? 5x < 3x + 2

The cost of 5 notebooks is less than the cost of 3 notebooks plus a $2 pen.

The cost of 5 notebooks is greater than the cost of 3 notebooks plus a $2 pen.

The cost of 5 notebooks is less than the cost of 3 notebooks with a $2-off coupon.

The cost of 5 notebooks is $2 greater than the price of 3 notebooks.

8th Grade Math STAAR Study Guide

Authored by Marisa Pierson

Mathematics

8th Grade

CCSS covered

Used 172+ times

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Four students are each trying to raise the same amount of money for a class trip. The table below shows how much of each student’s goal has been met.

Which list shows the numbers in the table in order from least to greatest?

0.7,\ 65\%,\ \frac{5}{8},\ \frac{2}{3}

$0.7,\ \frac{5}{8},\ 65\%,\ \frac{2}{3}$

$\frac{5}{8},\ 65\%,\ \frac{2}{3},\ 0.7$

$\frac{5}{8},\ \frac{2}{3},\ 65\%,\ 0.7$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which graph shows a proportional relationship between x and y?

Tags

CCSS.7.RP.A.2D

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Point M is located at (4, 6) on a coordinate grid. Point M is translated 8 units to the left and 9 units down to create point M′.

Which measurement is closest to the distance between point M and point M′ in units?

4 units

17 units

9 units

12 units

Tags

CCSS.HSG.GPE.B.7

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Tamara invested $15,000 in an account that pays 4% annual simple interest. Tamara will not make any additional deposits or withdrawals. How much interest will Tamara earn on her investment at the end of 3 years?

$1,800

$600

$450

$1,873

Tags

CCSS.7.RP.A.3

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

An aquarium is being filled with water. The graph shows the height of the water over time as the aquarium is being filled.

Which statement best describes the rate of change for this situation?

The height of the water increases 20 inches per second.

The height of the water increases 1 inch per second.

The height of the water increases 5 inches per second.

The height of the water increases 2.5 inches per second.

Tags

CCSS.HSF.IF.B.4

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

In the diagram a person who is 6 ft tall is standing on the ground 3 ft away from point P. A line segment drawn from the top corner of the building to point P creates two similar triangles.

\frac{3}{h}=\frac{18}{6}

$\frac{6}{3}=\frac{h}{18}$

$\frac{3}{15}=\frac{h}{6}$

$\frac{6}{3}=\frac{18}{h}$

Tags

CCSS.HSG.SRT.B.5

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Carnival M charges an entrance fee of $5.00 and $0.65 per ticket for the rides. Carnival P charges an entrance fee of $10.00 and $0.45 per ticket for the rides. How many tickets must be purchased in order for the total cost at Carnival M and Carnival P to be the same?

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The coordinate grid shows parallelogram PQRS.

Parallelogram PQRS is rotated 90° clockwise about the origin to create parallelogram P'Q'R'S′. Which rule describes this transformation?

$\left(x,\ y\right)\rightarrow\left(x,-y\right)$

$\left(x,\ y\right)\rightarrow\left(-x,\ y\right)$

$\left(x,\ y\right)\rightarrow\left(y,\ x\right)$

$\left(x,\ y\right)\rightarrow\left(y,\ -x\right)$

Tags

CCSS.HSG.CO.A.2

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The value of y varies directly with x. When $y=75,\ x=\frac{1}{2}.$ The value of y varies directly with x. What is the value of y when x is $2\frac{1}{4}$ ?

$84\frac{3}{8}$

$337\frac{1}{2}$

$16\frac{2}{3}$

$168\frac{3}{4}$

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8th Grade Math STAAR Study Guide

Four students are each trying to raise the same amount of money for a class trip. The table below shows how much of each student’s goal has been met.Which list shows the numbers in the table in order from least to greatest?

Which graph shows a proportional relationship between x and y?

Point M is located at (4, 6) on a coordinate grid. Point M is translated 8 units to the left and 9 units down to create point M′.Which measurement is closest to the distance between point M and point M′ in units?

Tamara invested $15,000 in an account that pays 4% annual simple interest. Tamara will not make any additional deposits or withdrawals. How much interest will Tamara earn on her investment at the end of 3 years?

An aquarium is being filled with water. The graph shows the height of the water over time as the aquarium is being filled.Which statement best describes the rate of change for this situation?

In the diagram a person who is 6 ft tall is standing on the ground 3 ft away from point P. A line segment drawn from the top corner of the building to point P creates two similar triangles.

Carnival M charges an entrance fee of $5.00 and $0.65 per ticket for the rides. Carnival P charges an entrance fee of $10.00 and $0.45 per ticket for the rides. How many tickets must be purchased in order for the total cost at Carnival M and Carnival P to be the same?

The coordinate grid shows parallelogram PQRS.Parallelogram PQRS is rotated 90° clockwise about the origin to create parallelogram P'Q'R'S′. Which rule describes this transformation?

The value of y varies directly with x. When y=75, x=12.y=75,\ x=\frac{1}{2}.y=75, x=21​. The value of y varies directly with x. What is the value of y when x is 2142\frac{1}{4}241​ ?

A triangular prism and its dimensions are shown in the diagram.What is the lateral surface area of this triangular prism in square centimeters?

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Four students are each trying to raise the same amount of money for a class trip. The table below shows how much of each student’s goal has been met.

Which list shows the numbers in the table in order from least to greatest?

Point M is located at (4, 6) on a coordinate grid. Point M is translated 8 units to the left and 9 units down to create point M′.

Which measurement is closest to the distance between point M and point M′ in units?

An aquarium is being filled with water. The graph shows the height of the water over time as the aquarium is being filled.

Which statement best describes the rate of change for this situation?

The coordinate grid shows parallelogram PQRS.

Parallelogram PQRS is rotated 90° clockwise about the origin to create parallelogram P'Q'R'S′. Which rule describes this transformation?

The value of y varies directly with x. When $y=75,\ x=\frac{1}{2}.$ The value of y varies directly with x. What is the value of y when x is $2\frac{1}{4}$ ?

A triangular prism and its dimensions are shown in the diagram.

What is the lateral surface area of this triangular prism in square centimeters?