Quiz about STAAR Level 6 - Version A

Question 1

An organization has a monthly budget of x dollars. Every month $2,070 is spent on salaries. One-fourth of the remaining budget is spent on monthly activities. Which function can be used to find the amount in dollars spent on monthly activities?

Accepted Answer

$$f\left(x\right)=\frac{x-2070}{4}$$

Answer

$$f\left(x\right)=2070+\frac{x}{4}$$

Answer

$$f\left(x\right)=2070-\frac{x}{4}$$

Answer

$$f\left(x\right)=\frac{x+2070}{4}$$

Question 2

A bag contains 18 coins consisting of quarters and dimes. The total value of the coins is $2.85. Which system of equations can be used to determine the number of quarters, q, and the number of dimes, d, in the bag?

Accepted Answer

$$0.25q+0.10d=2.85$$

$$q+d=18$$

Answer

$$0.10q+0.25=2.85$$

$$q+d=18$$

Answer

$$0.10q+0.25d=18$$

$$q+d=2.85$$

Answer

$$0.25q+0.10d=18$$

$$q+d=2.85$$

Question 3

A drummer and a guitarist each wrote songs for their band. The guitarist wrote 8 fewer than twice the number of songs that the drummer wrote. They wrote a total of 46 songs.

Which system of equations models this situation if the drummer wrote d songs and the guitarist wrote g songs?

Accepted Answer

$$g=2d-8$$

$$g+d=46$$

Answer

$$g=8-2d$$

$$g=46-d$$

Answer

$$d=2g-8$$

$$d=46-g$$

Answer

$$d=8-2g$$

$$d+g=46$$

Question 4

A particular type of cell doubles in number every hour. Which function can be used to find the number of cells present at the end of h hours if there are initially 4 of these cells?

Accepted Answer

$$n=4\left(2\right)^h$$

Answer

$$n=4\left(\frac{1}{2}\right)^h$$

Answer

$$n=4+\left(2\right)^h$$

Answer

$$n=4+\left(\frac{1}{2}\right)^h$$

Question 5

What is the equation in slope-intercept form of the line that passes through the points (-4, 47) and (2, -16)?

Accepted Answer

$$y=-\frac{21}{2}x+5$$

Answer

$$y=-\frac{21}{2}x+\frac{979}{21}$$

Answer

$$y=-\frac{2}{21}x+5$$

Answer

$$y=-\frac{2}{21}x+5$$

Question 6

Researchers in Antarctica discovered a warm sea current under a glacier that is causing the glacier to melt. The ice shelf of the glacier had a thickness of approximately 450 m when it was first discovered. The thickness of the ice shelf is decreasing at an average rate of 0.06 m per day.

Which function can be used to find the thickness of the ice shelf in meters x days since the discovery?

Accepted Answer

$$t\left(x\right)=450-0.06x$$

Answer

$$t\left(x\right)=-0.06\left(x+450\right)$$

Answer

$$t\left(x\right)=450+0.06x$$

Answer

$$t\left(x\right)=0.06\left(x+450\right)$$

Question 7

At a restaurant jars of tomato sauce are stored in boxes in the pantry. Each box contains 8 jars of tomato sauce. A cook uses 2 jars from 1 of the boxes.

Which function shows the relationship between y, the total number of jars of tomato sauce remaining in the pantry, and x, the number of boxes in the pantry?

Accepted Answer

$$y=8x-2$$

Answer

$$y=8x+6$$

Answer

$$y=8x$$

Answer

$$y=6x$$

Question 8

There are 1,024 players in a tennis tournament. In each round, half the players are eliminated. Which function can be used to find the number of players remaining in the tournament at the end of x rounds?

Accepted Answer

$$f\left(x\right)=1,024\left(0.50\right)^x$$

Answer

$$f\left(x\right)=1,024\left(1.50\right)^x$$

Answer

$$f\left(x\right)=1,024\left(1.05\right)^x$$

Answer

$$f\left(x\right)=1,024\left(0.05\right)^x$$

Question 9

In the year 1900, the total number of metric tons of copper produced in the world was 495,000. Each year since 1900, the total number of metric tons of copper produced has increased on average by about 3.25% over the amount produced the previous year.

Which function models the total number of metric tons of copper produced in the year that is x years since 1900?

Accepted Answer

$$c\left(x\right)=495,000\left(1.0325\right)^x$$

Answer

$$c\left(x\right)=495,000\left(0.9675\right)^x$$

Answer

$$c\left(x\right)=495,000x^{1.0325}$$

Answer

$$c\left(x\right)=495,000^{0.9675}$$

Question 10

There are 15 plates in a kitchen cabinet. The diameter of each plate is either 7 inches or 12 inches. The diameter of all 15 plates combined is 140 inches.

Which system of equations can be used to find the number of 7-inch plates, x, and the number of 12-inch plates, y, that are in the cabinet?

Accepted Answer

$$x+y=15$$

$$7x+12y=140$$

Answer

$$x+y=140$$

$$12x+7y=15$$

Answer

$$7x+12y=140$$

Answer

$$x+y=15$$

$$12x+7y=140$$

Question 11

The graph of a linear function is shown. Which equation is best represented by this graph?

Accepted Answer

$$y=-\frac{7}{4}x+7$$

Answer

$$y=-\frac{7}{4}x+4$$

Answer

$$y=-\frac{4}{7}x+4$$

Answer

$$y=-\frac{4}{7}x+7$$

Question 12

Printer ink costs $18.99 per cartridge. The company that sells the ink cartridges charges a flat shipping fee of $7.95, no matter the number of cartridges sold in a single order.

Which linear function models the total cost, t, for a single order of c cartridges?

Accepted Answer

$$t=18.99c+7.95$$

Answer

$$c=26.94t$$

Answer

$$c=18.99t+7.95$$

Answer

$$t=26.94c$$

Question 13

The conversion of degrees Celsius to degrees Farenheit can be represented by a linear relationship. The graph shows the linear relationship between, y, the temperature in degrees Fahrenheit, and x, the temperature in degrees Celsius from the freezing point of water. Which equation best represents this relationship?

Accepted Answer

$$y=\frac{9}{5}x+32$$

Answer

$$y=\frac{5}{9}x$$

Answer

$$y=\frac{9}{5}x$$

Answer

$$y=\frac{5}{9}x+32$$

Question 14

This year the number of students who participated in sports was 317. Each year the number of students who participated in sports increases by 4%. Which function can be used to model the number of students participating in sports after x years?

Accepted Answer

$$f\left(x\right)=317\left(1.04\right)^x$$

Answer

$$f\left(x\right)=314\left(4\right)^x$$

Answer

$$f\left(x\right)=4x+314$$

Answer

$$f\left(x\right)=1.04x+317$$

Question 15

The table of ordered pairs represent some points on the graphs of lines f and g. Which system of equations represents lines f and g?

Accepted Answer

$$y=1.75x+3.5$$

$$y=-4x-8$$

Answer

$$y=1.75x+3.5$$

$$y=-4x-2$$

Answer

$$y=3.5x+1.75$$

$$y=-4x-8$$

Answer

$$y=3.5x+1.75$$

$$y=-4x-2$$

Question 16

A system of equations is graphed on the grid. Which system of equations does the graph represent?

Accepted Answer

$$y=x+4$$

$$y=-2x-4$$

Answer

$$y=-x-4$$

$$y=2x-2$$

Answer

$$y=-x+4$$

$$y=2x-4$$

Answer

$$y=x-4$$

$$y=-2x-2$$

STAAR Level 6 - Version A

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