Free Printable Beck Staar Practice Test

1.

The graph of an exponential function is shown on the grid. Based on the graph, which statement about the function is true?

a)

The range is the set of all real numbers less than 0.

b)

The domain is the set of all real numbers greater than -4.

c)

The range is the set of all real numbers greater than 0.

d)

The domain is the set of all real numbers less than -4.

2.

A bank account earning annual compound interest was opened, and no additional deposits or withdrawals were made after the initial deposit. The balance in the account after $x$ years can be modeled by $b\left(x\right)=850\left(1.025\right)^x.$

Which statement is the best interpretation of one of the values in this function?

a)

The initial balance of the account decreases at a rate of 97.5% each year.

b)

The balance in the account increases at a rate of 2.5% each year.

c)

The initial balance of the account is $1,025.

d)

The balance in the account at the end of one year is $850.

3.

Which expression is equivalent to $4\sqrt{147}?$

a)

$196\sqrt{3}$

b)

$12\sqrt{7}$

c)

$3\sqrt{7}$

d)

$28\sqrt{3}$

4.

Which expression is equivalent to $2x^2+\left(4x-6x^2\right)+9-\left(6x+3\right)$ ?

a)

$-4x^2-2x+12$

b)

$-4x^2-2x+6$

c)

$-10x+6$

d)

$18x+2$

5.

Which function is equivalent to $f\left(x\right)=-4\left(x+7\right)^2-6?$

a)

$f\left(x\right)=-4x^2-56x-202$

b)

$f\left(x\right)=-4x^2+14x+43$

c)

$f\left(x\right)=-4x^2-56x-172$

d)

$f\left(x\right)=-4x^2+190$

6.

A company collected data for the number of text messages sent and received using a text-message application since October 2011. The table shows the number of text messages sent and received in billions over time The data can be modeled by a quadratic function.

Which function best models the data?

a)

$n\left(t\right)=-0.002t^2+0.55t+5.02$

b)

$n\left(t\right)=0.072t^2-0.15t+2.73$

c)

$n\left(t\right)=-0.002t^2+5.02$

d)

$n\left(t\right)=0.072t^2+2.73$

7.

What is the solution to $0.75\left(y+20\right)=2+0.5\left(y-2\right)?$

(a)

8.

Based on the sequence, $a_3=0,\ a_4=6,\ a_5=12,\ a_6=18,$ and $a_7=24,$ which equation can be used to find the $n^{th\ }$ term in the sequence, $a_n?$

a)

$a_n=-6n+18$

b)

$a_n=-18n+6$

c)

$a_n=6n-18$

d)

$a_n=18n-6$

9.

What equation in slope-intercept form of the line that crosses the x-axis at 36 and is parallel to the line represented by $y=\frac{4}{9}x+5?$

a)

$y=\frac{4}{9}x+16$

b)

$y=\frac{4}{9}x-16$

c)

$y=-\frac{9}{4}x+81$

d)

$y=-\frac{9}{4}x-81$

10.

What is the equation of the line that passes through the point $\left(-2,\ 7\right)$ and has a slope of zero?

a)

$x=7$

b)

$y=-2$

c)

$x=-2$

d)

$y=7$

11.

A student is selling flower arrangements.

She needs to make at least $250 selling arrangements to meet her goal.

If she sells rose arrangements for $12 each and carnation arrangements for $10 each, which inequality represents all possible combinations of x rose and y carnation arrangements needed to be sold to meet the goal?

a)

$12x+10y\le250$

b)

$12x+10y\ge250$

c)

$10x+12y\le250$

d)

$10x+12y\le250$

12.

Which graph shows the system of inequalities below?

$y<\frac{1}{2}x-3$

$y\le-3x+4$

a)

b)

c)

d)

13.

A company advertises on a website. A worker tracked the number of visits to the website and the number of clicks on the advertisement. The table shows the data for several days. A linear function can be used to model the data.

Based on the table, what is the best prediction of the number of clicks on the advertisement if 1,500 people visit the website?

a)

77

b)

137

c)

83

d)

105

14.

Which graph represents a system of equations with no solution?

a)

b)

c)

d)

15.

The graph of part of linear function $g$ is shown on the grid.

Which inequality best represents the domain of the part shown?

a)

$-9<x\le2$

b)

$-9\le x<2$

c)

$-6<g\left(x\right)\le3$

d)

$-6\le g\left(x\right)<3$

16.

The total cost in dollars to buy uniforms for the players on a volleyball team can be found using the function $c=34.95u+6.25,$ where $u$ is the number of uniforms bought. If there are at least 8 players but not more than 12 players on the volleyball team, what is the domain of the function for this situation?

a)

$0<u\le12$

b)

$0<c\le425.65$

c)

$\left\{8,\ 9,\ 10,\ 11,\ 12\right\}$

d)

$\left\{285.85,\ 320.80,\ 355.75,\ 390.70,\ 425.65\right\}$

17.

The table shows some points on the graph of exponential function $g.$

What is the range of $g?$

a)

$x>0$

b)

All Real Numbers

c)

$g\left(x\right)>0$

d)

$g\left(x\right)<0$

18.

A conservation agency tracks the sea turtle population by counting the number of nesting sites where the turtles lay their eggs. The table shows the number of nesting sites for several years since 2001. The data can be modeled by an exponetial function. Which function best models the data?

a)

$n\left(x\right)=25,956.80\left(1.08\right)^x$

b)

$n\left(x\right)=46,797.94\left(0.93\right)^x$

c)

$n\left(x\right)=1.08\left(25,956.80\right)^x$

d)

$n\left(x\right)=0.93\left(46,797.94\right)^x$

19.

The exponential function modeled below represents the number of square kilometers of land occupied by can toads $x$ years after this animal was first introduced into Australia.

Based on the data, which measurement is closest to the number of square kilometers of land that will be occupied by cane toads 40 years after this animal was first introduced into Australia?

a)

$550,000\ km^2$

b)

$1,250,000\ km^2$

c)

$600,000\ km^2$

d)

$800,000\ km^2$

20.

Which expression is equivalent to $2x^2-7x-4?$

a)

$\left(2x-1\right)\left(x+4\right)$

b)

$\left(2x+1\right)\left(x-4\right)$

c)

$\left(2x+1\right)\left(x+4\right)$

d)

$\left(2x-1\right)\left(x-4\right)$

21.

Which expression is equivalent to $-28x^2+35x?$

a)

$7x\left(4x+5\right)$

b)

$-7x\left(4x-5\right)$

c)

$7x\left(4x-5\right)$

d)

$-7x\left(4x+5\right)$

22.

The diagram shows the floor plan for a storage facility. All dimensions are given in feet. Which expression represents the area of the storage facility in square feet?

a)

$20x^2+36x-16$

b)

$20x^2-4x-16$

c)

$16x^2-16$

d)

$9x^2-16$

23.

The graph of $f\left(x\right)=x^2$ was translated 5.5 units to the right and stretched vertically to create the graph of $g.$ Which function represents $g?$

a)

$g\left(x\right)=3\left(x-5.5\right)^2$

b)

$g\left(x\right)=\frac{1}{3}\left(x-5.5\right)^2$

c)

$g\left(x\right)=3\left(x+5.5\right)^2$

d)

$g\left(x\right)=\frac{1}{3}\left(x+5.5\right)^2$

24.

What is the negative solution to $3x^2-2x=5?$

(a)

25.

The graph of quadratic function $g$ is shown on the grid. The coordinates of the x-intercepts, the y-intercept, and the vertex are integers.

What is the maximum of

g?

(a)

26.

What is the solution to $4\left(0.5n-3\right)=n-0.25\left(12-8n\right)?$

(a)

27.

Which table shows y as a function of x?

a)

b)

c)

d)

28.

Given $f\left(x\right)=6\left(1-x\right),$ what is the value of $f\left(-8\right)?$

(a)

29.

Which representation does not show y as a function of x?

a)

b)

c)

d)

30.

What is the solution to $-\left(6m+8\right)=4\left(17-m\right)?$

(a)

31.

If $p\left(x\right)=5\left(x^2+1\right)+16,$ what is the value of $p\left(-11\right)?$

(a)

32.

The water level of a river was measured each day during a two-week period. The graph models the linear relationship between the water level of the river in feet and the number of days the water level was measured.

Which statement best describes the y-intercept?

a)

The water level increased by 0.25 ft per day.

b)

The maximum water level was 19.5 ft.

c)

The initial water level was 16 ft.

d)

The water level was measured for 14 days.

33.

What is the slope of the line represented by $5x-12y=24?$

a)

$-2$

b)

$\frac{24}{5}$

c)

$-12$

d)

$\frac{5}{12}$

34.

Which graph best represents the solution set of $y>3x-4?$

a)

b)

c)

d)

35.

Which inequality is best represented by the graph?

a)

$2x+8y\ge-16$

b)

$2x+8y>-16$

c)

$8x+2y\ge-4$

d)

$8x+2y>-4$

36.

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 spend a total of $132.50, how many coffee mugs did the manager purchase?

a)

12

b)

13

c)

8

d)

9

37.

The tables of ordered pairs represent some points on the graph of lines $q$ and $v.$

Which system of equations is represented by lines $q$ and $v?$

a)

$y=3x+27$

$y=-\frac{1}{2}x+8$

b)

$y=3x+27$

$y=\frac{1}{2}x+8$

c)

$y=3x-27$

$y=-\frac{1}{2}x+8$

d)

$y=3x-27$

$y=\frac{1}{2}x+8$

38.

What is the range of the graph?

a)

$-2\le x\le4$

b)

$\left\{-2,\ -1,\ 1,\ 3,\ 4\right\}$

c)

$\left\{-5,\ -2,\ 0,\ 3,\ 4\right\}$

d)

$-5\le y\le4$

39.

What is the domain of $f\left(x\right)=9-x^2?$

a)

$f\left(x\right)=9$

b)

All real numbers

c)

$-3\le x\le3$

d)

$x\le9$

40.

What are the domain and range of $g\left(x\right)=-\frac{1}{4}\left(x-17\right)^2+61?$

a)

Domain: All real numbers
Range: $g\left(x\right)\le61$

b)

Domain: $x\le17$
Range: $g\left(x\right)\le61$

c)

Domain: All real numbers
Range: $x\le17$

d)

Domain: $g\left(x\right)\ge61$
Range: $x\le17$

41.

What is the range $y=-x^2-2x+3?$

a)

$x\le4$

b)

$x\ge-4$

c)

$y\le4$

d)

$y\ge-4$

42.

Which situation does NOT show causation?

a)

When the student population at a school increases, the number of teachers at the school increases.

b)

When the amount of sugar in a quart of apple juice is reduced, there are few calories in each serving.

c)

When there are more workers on a project, the project is completed in less time.

d)

When there is more protein in an athlete's diet, the athlete scores more points in a game.

43.

A student used $f\left(x\right)=5.00\left(1.012\right)^x$ to show how the balance in a savings account will increase over time. What does the 5.00 represent?

a)

The interest the savings account earned for the first year

b)

The annual interest rate of the savings account

c)

The number of years the savings account has earned interest

d)

The starting balance of the savings account

44.

An exponential function is graphed on the grid. Which function is best represented by the graph?

a)

$g\left(x\right)=6\left(\frac{1}{3}\right)^x$

b)

$g\left(x\right)=6\left(3\right)^x$

c)

$g\left(x\right)=6-\left(\frac{1}{3}\right)^x$

d)

$g\left(x\right)=6-\left(3\right)^x$

45.

Which expression is equivalent to $\sqrt{96}?$

a)

$24$

b)

$8\sqrt{6}$

c)

$48$

d)

$4\sqrt{6}$

46.

Which expression is equivalent $\left(h^2+9h-1\right)\left(-4h+3\right)?$

a)

$-4h^3-33h^2+31h-3$

b)

$4h^3+39h^2-23h-3$

c)

$-4h^3-39h^2+23h+3$

d)

$4h^3+33h^2-31h+3$

47.

What is the vertex of the quadratic function $f\left(x\right)=x^2+2x-4?$

a)

$\left(1.3,\ 0\right)$

b)

$\left(0,\ -4\right)$

c)

$\left(-5,\ -1\right)$

d)

$\left(-1,\ -5\right)$

48.

Which quadratic function has the two characteristics below?

The axis of symmetry of the graph is $x=1.$

The function has two zeros.

a)

b)

c)

d)

Beck Staar Practice Test

Total questions: 48

Worksheet time: 24mins

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