Free Printable STAAR Level 6

1.

A manager purchased a total of 21 coffee mugs and key chains. Each coffee mug cost $8.50, and each key chain cost $2.75. If the manager spent a total of $132.50, how many coffee mugs did the manager purchase?

(a)

2.

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?

a)

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

b)

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

c)

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

d)

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

3.

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?

a)

$0.10q+0.25=2.85$

$q+d=18$

b)

$0.10q+0.25d=18$

$q+d=2.85$

c)

$0.25q+0.10d=2.85$

$q+d=18$

d)

$0.25q+0.10d=18$

$q+d=2.85$

4.

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?

a)

$g=2d-8$

$g+d=46$

b)

$g=8-2d$

$g=46-d$

c)

$d=2g-8$

$d=46-g$

d)

$d=8-2g$

$d+g=46$

5.

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?

a)

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

b)

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

c)

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

d)

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

6.

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

a)

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

b)

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

c)

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

d)

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

7.

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?

a)

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

b)

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

c)

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

d)

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

8.

The amount of fertilizer in a landscaping company’s warehouse decreases at a rate of 3% per week. The amount of fertilizer in the warehouse was originally 78,000 cubic yards.

Which function models the amount of fertilizer in cubic yards left after w weeks?

a)

$f\left(w\right)=0.97\left(78,000\right)^w$

b)

$f\left(w\right)=1.03\left(78,000\right)^w$

c)

$f\left(w\right)=78,000\left(0.97\right)^w$

d)

$f\left(w\right)=78,000\left(1.03\right)^w$

9.

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?

a)

$y=8x+6$

b)

$y=8x$

c)

$y=8x-2$

d)

$y=6x$

10.

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?

a)

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

b)

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

c)

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

d)

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

11.

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?

a)

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

b)

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

c)

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

d)

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

12.

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?

a)

$x+y=140$

$12x+7y=15$

b)

$7x+12y=140$

c)

$x+y=15$

$7x+12y=140$

d)

$x+y=15$

$12x+7y=140$

13.

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

a)

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

b)

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

c)

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

d)

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

14.

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?

a)

$c=26.94t$

b)

$c=18.99t+7.95$

c)

$t=26.94c$

d)

$t=18.99c+7.95$

15.

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?

a)

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

b)

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

c)

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

d)

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

16.

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?

a)

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

b)

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

c)

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

d)

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

17.

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?

a)

$y=1.75x+3.5$

$y=-4x-8$

b)

$y=1.75x+3.5$

$y=-4x-2$

c)

$y=3.5x+1.75$

$y=-4x-8$

d)

$y=3.5x+1.75$

$y=-4x-2$

18.

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

a)

$y=-x-4$

$y=2x-2$

b)

$y=-x+4$

$y=2x-4$

c)

$y=x-4$

$y=-2x-2$

d)

$y=x+4$

$y=-2x-4$

19.

A customer paid a total of $6.00 for 68 copies at a print shop. Some of the copies were black-and-white copies, and the rest were color copies.

• Each black-and-white copy cost $0.08.
• Each color copy cost $0.15.

Which system of equations can be used to find b, the number of black-and-white copies, and c, the number of color copies that the customer paid for at the print shop?

a)

$b+c=6.00$

$0.08b+0.15c=68$

b)

$b+c=68$

$0.15b+0.08c=6.00$

c)

$b+c=6.00$

$0.15b+0.08c=68$

d)

$b+c=68$

$0.08b+0.15c=6.00$

STAAR Level 6 - Version A

Total questions: 19

Worksheet time: 1hrs 4mins

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