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4.25.25-STAAR REVIEW

Total questions: 80

Worksheet time: 5hrs 35mins

Name
Class
Date
1.

What is the solution to the system of equations represented by these tables?

a)

(2, 4)\left(-2,\ 4\right)

b)

(6, 10)\left(-6,\ 10\right)

c)

(2, 4)\left(-2,\ -4\right)

d)

(10, 2)\left(10,\ 2\right)

2.

The first five terms in a pattern are shown below.

0.5, 0.25, 0, 0.25, 0.5, ...-0.5,\ -0.25,\ 0,\ 0.25,\ 0.5,\ ...

If the pattern continues, which expression can be used to find the nth term?

a)

0.75n1.250.75n-1.25

b)

0.25n0.25-0.25n-0.25

c)

0.25n0.750.25n-0.75

d)

0.5n+0.25-0.5n+0.25

3.

The function f(x)=xf\left(x\right)=x was transformed to form g(x)=f(x)23g\left(x\right)=f\left(x\right)-23 .

Which statement is true about the graphs of f and g?

a)

The graphs of f and g are not parallel, and the graph of f is translated 23 units up to create the graph of g.

b)

The graphs of f and g are not parallel, and the graph of f is translated 23 units down to create the graph of g.

c)

The graphs of f and g are parallel, and the graph of f is translated 23 units up to create the graph of g.

d)

The graphs of f and g are parallel, and the graph of f is translated 23 units down to create the graph of g.

4.

For quadratic function f, the solutions to the equation f(x)=0f\left(x\right)=0 are x=75x=\frac{7}{5} and x=23x=-\frac{2}{3} .

Which function could represent f ?

a)

f(x)=14x2+11x15f\left(x\right)=14x^2+11x-15

b)

f(x)=15x211x14f\left(x\right)=15x^2-11x-14

c)

f(x)=14x211x15f\left(x\right)=14x^2-11x-15

d)

f(x)=15x2+11x14f\left(x\right)=15x^2+11x-14

5.

A fish tank is being drained at a constant rate. The graph shows the linear relationship between the volume of water in the fish tank in liters and the time in minutes the tank has been draining.

Which value best represents the rate of change of the volume of water in the fish tank with respect to time?

a)

-6 L/min

b)

6 L/min

c)

16 -\frac{1}{6}\ L/min

d)

16\frac{1}{6} L/min

6.

What are the factors of 2x2+x152x^2+x-15 ?

SELECT TWO ANSWERS.

a)

x+3x+3

b)

2x32x-3

c)

x+5x+5

d)

2x52x-5

e)

x3x-3

7.

New houses are being built in a neighborhood. The table shows the exponential change in the number of houses in the neighborhood over the last 6 years.

Which exponential function best models the data?

a)

f(x)=1.4(18.9)xf\left(x\right)=1.4\left(18.9\right)^x

b)

f(x)=27(1.3)xf\left(x\right)=27\left(1.3\right)^x

c)

f(x)=18.9(1.4)xf\left(x\right)=18.9\left(1.4\right)^x

d)

f(x)=1.3(27)xf\left(x\right)=1.3\left(27\right)^x

8.

What is the solution to 103(m5)=2(5m)10-3\left(m-5\right)=2\left(5-m\right) ?

a)

15

b)

-15

c)

-7

d)

3

9.

Which value represents the rate of change of y with respect to x for this function?

25x47y=32\frac{2}{5}x-\frac{4}{7}y=\frac{3}{2}

a)

218-\frac{21}{8}

b)

835\frac{8}{35}

c)

67-\frac{6}{7}

d)

710\frac{7}{10}

10.

Which value represents the rate of change of y with respect to x for this function?

25x47y=32\frac{2}{5}x-\frac{4}{7}y=\frac{3}{2}

a)

218-\frac{21}{8}

b)

835\frac{8}{35}

c)

67-\frac{6}{7}

d)

710\frac{7}{10}

11.

The graph of 3xy=13x-y=1 is shown on the grid.

Which points are in the solution set of 3xy13x-y\ge1 ?

SELECT THREE ANSWERS.

a)

A

b)

B

c)

C

d)

D

e)

E

12.

The graph of 3xy=13x-y=1 is shown on the grid.

Which points are in the solution set of 3xy13x-y\ge1 ?

SELECT THREE ANSWERS.

a)

A

b)

B

c)

C

d)

D

e)

E

13.

Which expression is equivalent to x6y4x3y\frac{x^{-6}y^4}{x^3y}

a)

y3x9\frac{y^3}{x^9}

b)

y4x9\frac{y^4}{x^9}

c)

y5x3\frac{y^5}{x^3}

d)

y4x2\frac{y^4}{x^2}

14.

Which expression is equivalent to x6y4x3y\frac{x^{-6}y^4}{x^3y}

a)

y3x9\frac{y^3}{x^9}

b)

y4x9\frac{y^4}{x^9}

c)

y5x3\frac{y^5}{x^3}

d)

y4x2\frac{y^4}{x^2}

15.

Which graph best represents the solution set of 3x<2y+63x<2y+6 ?

a)

b)

c)

d)

16.

Quadratic function f has vertex (4, 15)\left(4,\ 15\right) and passes through the point (1, 20)\left(1,\ 20\right) . Which equation represents f ?

a)

f(x)=59(x4)2+15f\left(x\right)=-\frac{5}{9}\left(x-4\right)^2+15

b)

f(x)=59(x4)2+15f\left(x\right)=\frac{5}{9}\left(x-4\right)^2+15

c)

f(x)=359(x4)215f\left(x\right)=-\frac{35}{9}\left(x-4\right)^2-15

d)

f(x)=359(x4)215f\left(x\right)=\frac{35}{9}\left(x-4\right)^2-15

17.

A part of quadratic function f is graphed on the grid.

What is the domain of the part of the function shown?

a)

All real numbers greater than or equal to -1

b)

All real numbers greater than or equal to 1

c)

All real numbers

d)

All real numbers greater than or equal to -1 and less than or equal to 5

18.

A part of quadratic function f is graphed on the grid.

What is the domain of the part of the function shown?

a)

All real numbers greater than or equal to -1

b)

All real numbers greater than or equal to 1

c)

All real numbers

d)

All real numbers greater than or equal to -1 and less than or equal to 5

19.

The graph of a quadratic function is shown on the grid.

Which statement is best supported by the graph?

a)

The function has a zero at 6.

b)

The minimum value of the function is 9.

c)

The vertex of the graph is (9, 3)\left(9,\ -3\right) .

d)

The equation of the axis of symmetry of the graph is x=3x=-3 .

20.

Dance lessons are offered at two studios. The cost of dance lessons at each studio is shown.

  • * Studio Q charges a $30 registration fee plus $80 per month.

  • * Studio R charges a $105 registration fee plus $65 per month.

  • After how many months will the total cost of the dance lessons be equal at the two studios?

a)

5

b)

280

c)

9

d)

430

21.

Which expression is a factor of 16m28116m^2-81 ?

a)

2m92m-9

b)

16m+916m+9

c)

8m98m-9

d)

4m+94m+9

22.

Dance lessons are offered at two studios. The cost of dance lessons at each studio is shown.

  • * Studio Q charges a $30 registration fee plus $80 per month.

  • * Studio R charges a $105 registration fee plus $65 per month.

  • After how many months will the total cost of the dance lessons be equal at the two studios?

a)

5

b)

280

c)

9

d)

430

23.

What is the slope of the line that passes through the points (10, 18)\left(10,\ 18\right) and (5, 12)\left(-5,\ -12\right)

a)

12\frac{1}{2}

b)

22

c)

2-2

d)

12-\frac{1}{2}

24.

What equation in slope-intercept form describes the line that passes through the point (1, 13)\left(-1,\ -13\right) and has a slope of 55 ?

a)

y=5x+12y=-5x+12

b)

y=5x15y=5x-15

c)

y=12x+26y=-12x+26

d)

y=5x8y=5x-8

25.

Maddie plants a tree that is 6 feet tall outside her house. The label on the tree says it should grow 34\frac{3}{4} of a foot every year. Write an equation to model y the height of the tree after x years.

26.

This table represents some points on the graph of a linear function. Write a function that would represent the same relationship.

27.

The graph models a linear function. The rate of change of the graph is ​ (a)   dollars per hour.

Choose from the below words
50
100
0
1/50
28.

What is the slope of the line represented by 2x+6y=182x+6y=-18 ?

29.

Cody bought 12 items from Academy consisting of shirts and pants for $64. Academy is having a sale for $4 per shirt and $6 per pants. Fill in the blanks to create a system of equations that can be used to determine the number of shirts, s, and the number of pants p Cody

​ (a)   +​ (b)   =​ (c)  

​ (d)   +​ (e)   = 12

Choose from the below words
4s
6p
64
s
p
4p
6s
12p
12s
30.

What is the solution to 15x+8=3(5x4)10x15x+8=3\left(5x-4\right)-10x ?

31.

Solve the system of equations.

3xy=73x-y=7

2x+3y=12x+3y=1

x = ​ ​ (a)  

y = ​ (b)  

Choose from the below words
2
-1
5
-4
0
No solution
32.

Simplify (v6)(v12)=v?\left(v^6\right)\left(v^{-12}\right)=v^?

33.

The data in the table can be entered into a calculator to determine a linear equation of best fit where x represents the number of years with a company and y represents an employee’s salary in dollars. Describe the correlation from the data in the table.

There is ​ (a)   ​ ​ (b)   correlation.

Choose from the below words
strong
positive
negative
weak
34.

Simplify completely.

405\sqrt[]{405}

35.

The graph shows an exponential function. Write an equation to represent the function. Round to the nearest hundredth.

36.
a)

F

b)

G

c)

H

d)

J

37.
a)

A

b)

B

c)

C

d)

D

38.
a)

F

b)

G

c)

H

d)

J

39.
a)
b)
c)
d)
40.
a)
b)
c)
d)
41.
a)

A

b)

B

c)

C

d)

D

42.
a)

-51

b)

-14

c)

-20

d)

20

43.
a)

F

b)

G

c)

H

d)

J

44.
a)
b)
c)
d)
45.
a)

A

b)

B

c)

C

d)

D

46.
a)

A

b)

B

c)

C

d)

D

47.
a)

A

b)

B

c)

C

d)

D

48.
a)

A

b)

B

c)

C

d)

D

49.
a)
b)
c)
d)
50.
a)

A

b)

B

c)

C

d)

D

51.
a)
b)
c)
d)
52.
a)

F

b)

G

c)

H

d)

J

53.
a)

A

b)

B

c)

C

d)

D

54.
a)

F

b)

G

c)

H

d)

J

55.
a)

A

b)

B

c)

C

d)

D

56.
a)

F

b)

G

c)

H

d)

J

57.
a)

A

b)

B

c)

C

d)

D

58.
a)

3/2

b)

-3/2

c)

-9

d)

-6

59.
a)

A

b)

B

c)

C

d)

D

60.
a)

F

b)

G

c)

H

d)

J

61.
a)

F

b)

G

c)

H

d)

J

62.
a)

A

b)

B

c)

C

d)

D

63.
a)

A

b)

B

c)

C

d)

D

64.
a)
b)
c)
d)
65.
a)
b)
c)
d)
66.
a)
b)
c)
d)
67.
a)

10.75

b)

8.5

c)

-4.3

d)

11.875

68.
a)

A

b)

B

c)

C

d)

D

69.
a)

A

b)

B

c)

C

d)

D

70.
a)

A

b)

B

c)

C

d)

D

71.
a)

F

b)

G

c)

H

d)

J

72.
a)

A

b)

B

c)

C

d)

D

73.
a)
b)
c)
d)
74.
a)

4

b)

-4

c)

-5

d)

-3

75.
a)
b)
c)
d)
76.
a)
b)
c)
d)
77.
a)

F

b)

G

c)

H

d)

J

78.
a)
b)
c)
d)
79.
a)

A

b)

B

c)

C

d)

D

80.
a)

F

b)

G

c)

H

d)

J