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Laabri

IAR Grade 8: Math - In progress!

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Last updated about 3 years ago
45 Nsɛmmisa
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8.EE.5
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8.EE.5
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8.SP.3
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8.F.1
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8.EE.7.b
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8.F.5
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8.NS.2
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8.EE.8.a
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8.F.1
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8.EE.7.b
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8.F.5
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8.EE.8.a
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8.NS.1
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8.G.1.a
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8.G.2
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8.F.1
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8.EE.1
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8.EE.8.b
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8.SP.2
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8.EE.3

The use of a calculator is allowed for questions 17 to 22.

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8.EE.5
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8.EE.6
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7.RP.3
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8.F.2
Asemmisa {{asɛmmisaAhyɛnsode}}
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]

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2.
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3.
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4.
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5.

Solve this equation for x.

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

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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

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7.

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

[vertical positioning of the points are irrelevant]

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8.
Mmuae Afoforo a Wobɛpaw:
Function C
Function B
Function A
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9.

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

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10.
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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

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12.
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13.

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

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14.

Solve this equation for x.

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

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15.
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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.

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17.

The graph shows y as a function of x.

For which intervals is the function decreasing?

Select all that apply.

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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.

  • Klik Graph tab (Graph 1, Graph 2, ne nea ɛkeka ho) so ma graph biara a ɛsɛ sɛ wobɔ.
  • Klik graph no akyi na fa asɛm bi ka ho. Fa nsɛntitiriw abien ka ho na yɛ graph. Twe asɛm bi anaa kyerɛw x ne y coordinates na sesa ne gyinabea. Klik asɛm bi so na popa.
  • Sɛ wobɔ wo graph no wie a, wubetumi ahyɛ dashed line box no mu.
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19.

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

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20.

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

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21.

A system of equations is shown.

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

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

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22.

Which equations define y as a nonlinear function of x?

Select all that apply.

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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.

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24.

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

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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.

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26.
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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?

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28.

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

Select all that apply.

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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?

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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?

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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?

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32.

A solution is 20% bleach.

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

[Calculator permitted]

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33.
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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]

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35.
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36.
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37.
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38.
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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]

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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?

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41.
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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.

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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]

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44.
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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.