Quiz about 8th Math STAAR

Question 1

Triangle 1 is dialated by a scale factor of 4.1 using the origin as the center of dialation to create triangle 2. Which statement about the area and perimeter of triable 2 is true?

Accepted Answer

The perimeter is 4.1 times the perimeter of Triangle 1, and the area is 16.81 times the area of Triangle 1.

Answer

The perimeter is 4.1 times the perimeter of Triangle 1, and the area is 4.1 times the area of Triangle 1.

Answer

The perimeter is 8.2 times the perimeter of Triangle 1, and the area is 8.2 times the area of Triangle 1.

Answer

The perimeter is 16.81 times the perimeter of Triangle 1, and the area is 16.81 times the area of Triangle 1.

Question 2

A family has a hot dog cookout every year. The scatterplot shows the number of people who have attended each cookout and the number of hot dogs that were eaten each year.

This year 45 people are expected to attend the cookout. Based on the scatterplot, about how many hot dogs should the family prepare?

Accepted Answer

52

Answer

83

Answer

36

Answer

40

Question 3

A gas company charges $16 monthly service fee and $0.6924 per hundred cubic feet of natural gas used during a month. Which equation best represents y, the gas company's monthly charges in dollars for using x hundred cubic feet of natural gas?

Accepted Answer

$$y=0.6924x+16$$

Answer

$$y=0.6924x-16$$

Answer

$$y=16x+0.6924$$

Answer

$$y=16x-0.6924$$

Question 4

Which set of side length measurements in meters does NOT make a right triangle?

Accepted Answer

9m 11m 13m

Answer

18m 24m 30m

Answer

7m 24m 25m

Answer

20m 21m 29m

Question 5

A faucet leaks 0.8 gallons of water every 2 hours. Which graph has a slope that best represents the number of gallons per hour leaked by the faucet?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 6

Which graph represents y as a function of x?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 7

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

What is the total surface area of the prism in square centimeters?

Accepted Answer

520 cm2

Answer

720 cm2

Answer

600 cm2

Answer

460 cm2

Question 8

A total annual cost to attent a community college is $4,000. The college offered a high school senior a scholarship for $1,500. The student can get a student loan for $1,000 but will need to earn enough to pay the remaining cost. It is 5 months until the remaining cost must be paid. What is the minimum amount the student needs to earn per month to save enough money to pay the remaining cost?

Accepted Answer

$300

Answer

$600

Answer

$500

Answer

$800

Question 9

Click on the boxes that present a situation that represents a proportional relationship.

Accepted Answer

The number of characters in a text message if each word contains 6 characters.

Accepted Answer

The number of minutes it takes to enter a text message at 50 characters per minute.

Answer

The total number of text messages sent if 4 were already sent and 6 messages are sent per day.

Answer

The time it takes to send a text message if it takes 30 seconds to open the app and the sender enters 1 character per second

Question 10

The tables show the ordered pairs that represent the vertices of Triangle 1 and its image, Triangle 2, after a dialation with the origin as the center of dialation.

Which rule best represents the dialation that was applied to Triangle 1 to create Triangle 2?

Accepted Answer

$$\left(x,y\right)\rightarrow\left(5x,5y\right)$$

Answer

$$\left(x,y\right)\rightarrow\left(0.2x,0.2y\right)$$

Answer

$$\left(x,y\right)\rightarrow\left(8x,8y\right)$$

Answer

$$\left(x,y\right)\rightarrow\left(10x,10y\right)$$

Question 11

After x hours of rainfall today, Yvette recorded the amount of wain in inches, y, in a rain gauge. The table shows the linear relationship for the recorded rainfall.

How many inches of rain was in the gauge before the rain began today, and what was the rate at which the rain fell in inches per hour?

Accepted Answer

There was 1.5 inches in the rain gauge before the rain began, and the rain fell at a rate of 0.75 inches per hour.

Answer

There was 0 inches in the rain gauge before the rain began, and the rain fell at a rate of 1.25 inches per hour.

Answer

There was 2.5 inches in the rain gauge before the rain began, and the rain fell at a rate of 1.25 inches per hour.

Answer

There was 3 inches in the rain gauge before the rain began, and the rain fell at a rate of 0.75 inches per hour.

Question 12

Four numbers are shown

$$-3\ \frac{1}{4}\ \ \ -\sqrt[]{9}\ \ \ -3.2\ \ \ -\pi$$

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

Accepted Answer

$$-\sqrt[]{9}\ \ \ -\pi\ \ \ -3.2\ \ \ -3\ \frac{1}{4}$$

Answer

$$-\sqrt[]{9}\ \ \ -\pi\ \ \ -3\ \frac{1}{4}\ \ \ -3.2$$

Answer

$$-\pi\ \ \ -3\ \frac{1}{4}\ \ \ -3.2\ \ \ -\sqrt[]{9}$$

Answer

$$-3\ \frac{1}{4}\ \ \ -3.2\ \ \ -\pi\ \ \ -\sqrt[]{9}$$

Question 13

A circle with a center R(-4,-4) on a coordinate plane is transformed to that its image forms a circle with a center R'(-4,4).

Which rules describe transformations that result in a circle with a center R'?

Select TWO correct answers.

Accepted Answer

$$\left(x,y\right)\rightarrow\left(x,y+8\right)$$

Accepted Answer

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

Answer

$$\left(x,y\right)\rightarrow\left(x,y+4\right)$$

Answer

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

Answer

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

Question 14

The two lines graphed on the coordinate grid represent a system of linear equations.

Which ordered pair best represents a solution to both equations?

Accepted Answer

(9,-2)

Answer

(4,-11)

Answer

(0,4)

Answer

(6,11)

Question 15

Jackson invested $680.00 in an account that earns 1.5% single interest annually. He made no additional deposits or withdrawals for 2 years.

What was Jackson's account balance at the end of 2 years?

Accepted Answer

$700.40

Answer

$690.20

Answer

$884.00

Answer

$782.00

Question 16

Which equation does NOT show a proportional relationship between x and y?

Accepted Answer

$$y=7x-9$$

Answer

$$y=\frac{x}{12}$$

Answer

$$y=-15x$$

Answer

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

Question 17

Each of these four diagrams shows a pair of parallel lines intersected by a transversal that forms the angles shown.

What is the value of x?

Accepted Answer

60

Answer

90

Answer

120

Answer

180

Question 18

An online candy store sells 3 pounds of fudge for $54.99. Which function represents the relationship between x, the number of pounds of fudge ordered, and y, the total cost in dollars?

Accepted Answer

$$y=\frac{54.99}{3}x$$

Answer

$$y=3\left(54.99\right)x$$

Answer

$$y=\left(54.99-3\right)x$$

Answer

$$y=54.99x-3$$

Question 19

A mail carrier recorded the number of people in each household on the mail route and the number of pieces of mail each household received in one day. The scatterplot shows the data the mail carrier recorded.

Based on the data, how many pieces of mail should a household with 8 people expect to receive?

Accepted Answer

21

Answer

16

Answer

29

Answer

27

Question 20

Which table does NOT represent y as a function of x?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 21

The volume of salt water on Earth's surface is approximately 350,000,000,000,000,000,000 gallons.

How is this number written in scientific notaiton?

Accepted Answer

$$3.5 imes10^{20}$$

Answer

$$3.5 imes10^{16}$$

Answer

$$35 imes10^{16}$$

Answer

$$35 imes10^{20}$$

Question 22

Maren made an initial deposit into her savings account. Each month Maren deposits the same amount into the savings account. The graph shows the linear relationship between x, the number of months Maren's savings account has been open, and y, the amount of money in the account.

Which amount best represents Maren's initial deposit in dollars?

Accepted Answer

$1,350

Answer

$450

Answer

$900

Answer

$1,575

Question 23

A triangle is shown, with Squares 1, 2, and 3 drawn on its sides.

Which measurements in units for the sides of the squares show that the triangle is a right triangle?

Accepted Answer

$$x=10,\ y=6,\ z=8$$

Answer

$$x=4,\ y=2,\ z=3$$

Answer

$$x=9,\ y=5,\ z=7$$

Answer

$$x=7,\ y=3,\ z=4$$

Question 24

A box of rice is shaped like a rectangular prism. The box has a length of 6 inches, a width of 1.5 inches, and a height of 8.5 inches.

What is the total surface area of the box in square inches?

Accepted Answer

145.5 in.²

Answer

136.5 in.²

Answer

76.5 in.2

Answer

127.5 in.²

Question 25

The model represents an equation.

Based on the model, what is the value of x?

Accepted Answer

x=2

Answer

x=3

Answer

x=4

Answer

x=1

Question 26

The table shows several pairs of x- and y-values for a linear relationship.

Create an equation in slope-intercept form that can be used to model this relationship

Accepted Answer

$$y=\frac{7}{3}x-\frac{2}{3}$$

Answer

$$y=-\frac{13}{5}x-\frac{2}{3}$$

Answer

$$y=\frac{7}{3}x+\frac{2}{3}$$

Answer

$$y=\frac{13}{5}x+\frac{2}{3}$$

Question 27

The diagram shows the distance between Odina;s house and the library in miles. It also shows the distance between the library and school.

Which measurement is closest to x, the distance in miles from Odina's house and to the school?

Accepted Answer

6.9 mi

Answer

8.9 mi

Answer

4 mi

Answer

12 mi

Question 28

The value of y is 6 less than the quotient of x and 4. Which graph best shows this relationship?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 29

Figure 1 and Figure 2 are similar and have the measurements shown in units.

Based on the figures, which proportion is true?

Accepted Answer

$$\frac{x}{y}=\frac{5}{3}$$

Answer

$$\frac{x}{y}=\frac{3}{5}$$

Answer

$$\frac{x}{y}=\frac{2}{4}$$

Answer

$$\frac{x}{y}=\frac{4}{2}$$

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