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Biblioteka

IAR Grade 8: Math - In progress!

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Posljednje ažuriranje about 3 years ago
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The use of a calculator is allowed for questions 17 to 22.

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Pitanje 1
1.

The number of bottles a machine fills is proportional to the number of minutes the machine operates. The machine fills 250 bottles every 20 minutes. Create a graph that shows the number of bottles, y, the machine fills in x minutes.

Utilize the drawing tools in the Show Your Work space to plot two points and draw a line.

[Calculator permitted]

Pitanje 2
2.
Pitanje 3
3.
Pitanje 4
4.
Pitanje 5
5.

Solve this equation for x.

0.5(5-7x)=8-(4x+6)

Pitanje 6
6.

Increasing

Decreasing

Neither Increasing nor Decreasing

-7<x<-3

-3<x<-1

-1<x<1

1<x<3

3<x<5

5<x<7

Pitanje 7
7.

Select the point on the number line that best approximates the location of \sqrt{14}.

[vertical positioning of the points are irrelevant]

Pitanje 8
8.
Drugi mogući odgovor:
Function C
Function B
Function A
Pitanje 9
9.

Which equation has both 4 and -4 as possible values of y?

Pitanje 10
10.
Pitanje 11
11.

Classify each equation as defining y as a linear or nonlinear function of x.

Drag or click the equation into the appropriate category.

  • y=7\times{4x}

  • y=(2x+5)^2

  • y=10x^2

  • y=5x-3

  • y=\frac{x}{2}

  • y=2x^{3}+1

  • linear

  • nonlinear

Pitanje 12
12.
Pitanje 13
13.

Which of these equations represent functions where x is the input and y is the output? Select each correct answer.

Pitanje 14
14.

Solve this equation for x.

0.5(5-7x)=8-(4x+6)

Pitanje 15
15.
Pitanje 16
16.

The graph represents y as a function of x. Place one additional point on the coordinate plane so that the graph continues to represent y as a function of x.

Use the drawing tools in the Show Your Work space to plot the point on the coordinate plane.

Pitanje 17
17.

The graph shows y as a function of x.

For which intervals is the function decreasing?

Select all that apply.

Pitanje 18
18.

The equation of line s is y=\frac{1}{3}x-3.

The equation of line t is y=-x+5.

The equations of lines s and t form a system of equations. The solution to the system of equations is located at point P.

a. Graph lines s and t using the graphing tool below.

b. In the Show Your Work space, plot Point P and write its coordinates.

  • Kliknite na karticu Grafikon (Grafikon 1, Grafikon 2 i tako dalje) za svaki grafikon koji trebate nacrtati.
  • Kliknite na pozadinu grafikona da biste dodali tačku. Dodajte dvije tačke da biste kreirali grafikon. Prevucite tačku ili unesite x i y koordinate da biste uredili njen položaj. Kliknite na tačku da biste je izbrisali.
  • Nakon što kreirate grafikon, možete označiti kućicu s isprekidanom linijom.
Pitanje 19
19.

Which statement best describes the value of \sqrt{8}?

Pitanje 20
20.

Which equation has both 4 and -4 as possible values of y?

Pitanje 21
21.

A system of equations is shown.

{x=10}\\{3x+5y+20}

In the system of equations, what is the value of y?

Pitanje 22
22.

Which equations define y as a nonlinear function of x?

Select all that apply.

Pitanje 23
23.

Consider the system of equations.

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

Which statements are true about the system of equations?

Select each correct answer.

Pitanje 24
24.

Which decimal is the equivalent of \frac{6}{11}?

Pitanje 25
25.

Seven line segments are shown on the coordinate plane.

Which of these segments could be the image of segment AB after a sequence of reflections, rotations, and/or translations?

Select each correct answer.

Pitanje 26
26.
Pitanje 27
27.

The graph represents y as a function of x.

Which additional point can be plotted so that the graph continues to represent y as a function of x?

Pitanje 28
28.

Which expressions are equivalent to \frac{3^{-8}}{3^{-4}}?

Select all that apply.

Pitanje 29
29.

The equation of line s is y=\frac{1}{3}x-3.

The equation of line t is y=-x+5.

The equations of lines s and t form a system of equations. The solution to the system of equations is located at point P.

Which graph correctly shows line s, line t, and point P?

Pitanje 30
30.

A scatter plot is shown on the coordinate plane.

Which of these most closely approximates a line of best fit for the data in the scatter plot?

Pitanje 31
31.

The body of a 154-pound person contains approximately 2\times10^{-1} milligrams of gold and 6\times10^{1} milligrams of aluminum. Based on this information, the number of milligrams of aluminum in the body is how many times the number of milligrams of gold in the body?

Pitanje 32
32.

A solution is 20% bleach.

Which graph represents the number of liters of bleach, y, contained in x liters of solution?

[Calculator permitted]

Pitanje 33
33.
Pitanje 34
34.

The gasoline mileage for two cars can be compared by finding the distance each car traveled and the amount of gasoline used. The table shows the distance that car M traveled using x gallons of gasoline. The graph shows the distance, y, that car P traveled using x gallons of gasoline.

Based on the information in the table and the graph, compare the approximate miles per gallon of car M to car P. Show your work or explain your answer.

[Calculator permitted]

Pitanje 35
35.
Pitanje 36
36.
Pitanje 37
37.
Pitanje 38
38.
Pitanje 39
39.

In \triangle{ABC}, \overline{BD} is perpendicular to \overline{AC}. The dimensions are shown in centimeters.

What is the length, in centimeters, of \overline{AC}?

[Calculator permitted]

Pitanje 40
40.

Relationship A is defined by the equation y=9x.

Some values of relationship B are shown in the table.

Both relationships represent a direct proportion between x and y. The rate of change of relationship B is how many units greater than the rate of change of relationship A?

Pitanje 41
41.
Pitanje 42
42.

Use the information provided to answer Part A and Part B for this question.

[Calculator permitted]

In a system of two linear equations, the lines represented by each equation have the same slope.

Part A

Which could be the total number of solutions to the system of equations?

Select each correct answer from the list below.

Part B

Explain why you chose your answer(s) in Part A in the Show Your Work space.

Pitanje 43
43.

Line t and \triangle{ECA} and \triangle{FDB} are shown on the coordinate plane.

Which statements are true? Select all that apply.

[Calculator permitted]

Pitanje 44
44.
Pitanje 45
45.

Function A is a linear function. Some values of Function A are shown in the table.

Function B is a linear function with a y-intercept of and an x-intercept of -5.

Which statement is true?

[Calculator permitted]

The graph shows y as a function of x.

For each interval in the table, indicate whether the function is increasing, decreasing, or neither increasing nor decreasing over the interval.