Worksheets4.25.25-STAAR REVIEW
Total questions: 80
Worksheet time: 5hrs 35mins
What is the solution to the system of equations represented by these tables?
(−2, 4)
(−6, 10)
(−2, −4)
(10, 2)
The first five terms in a pattern are shown below.
−0.5, −0.25, 0, 0.25, 0.5, ...
If the pattern continues, which expression can be used to find the nth term?
0.75n−1.25
−0.25n−0.25
0.25n−0.75
−0.5n+0.25
The function f(x)=x was transformed to form g(x)=f(x)−23 .
Which statement is true about the graphs of f and g?
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.
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.
The graphs of f and g are parallel, and the graph of f is translated 23 units up to create the graph of g.
The graphs of f and g are parallel, and the graph of f is translated 23 units down to create the graph of g.
For quadratic function f, the solutions to the equation f(x)=0 are x=57 and x=−32 .
Which function could represent f ?
f(x)=14x2+11x−15
f(x)=15x2−11x−14
f(x)=14x2−11x−15
f(x)=15x2+11x−14
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?
-6 L/min
6 L/min
−61 L/min
61 L/min
What are the factors of 2x2+x−15 ?
SELECT TWO ANSWERS.
x+3
2x−3
x+5
2x−5
x−3
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?
f(x)=1.4(18.9)x
f(x)=27(1.3)x
f(x)=18.9(1.4)x
f(x)=1.3(27)x
What is the solution to 10−3(m−5)=2(5−m) ?
15
-15
-7
3
Which value represents the rate of change of y with respect to x for this function?
52x−74y=23
−821
358
−76
107
Which value represents the rate of change of y with respect to x for this function?
52x−74y=23
−821
358
−76
107
The graph of 3x−y=1 is shown on the grid.
Which points are in the solution set of 3x−y≥1 ?
SELECT THREE ANSWERS.
A
B
C
D
E
The graph of 3x−y=1 is shown on the grid.
Which points are in the solution set of 3x−y≥1 ?
SELECT THREE ANSWERS.
A
B
C
D
E
Which expression is equivalent to x3yx−6y4
x9y3
x9y4
x3y5
x2y4
Which expression is equivalent to x3yx−6y4
x9y3
x9y4
x3y5
x2y4
Which graph best represents the solution set of 3x<2y+6 ?
Quadratic function f has vertex (4, 15) and passes through the point (1, 20) . Which equation represents f ?
f(x)=−95(x−4)2+15
f(x)=95(x−4)2+15
f(x)=−935(x−4)2−15
f(x)=935(x−4)2−15
A part of quadratic function f is graphed on the grid.
What is the domain of the part of the function shown?
All real numbers greater than or equal to -1
All real numbers greater than or equal to 1
All real numbers
All real numbers greater than or equal to -1 and less than or equal to 5
A part of quadratic function f is graphed on the grid.
What is the domain of the part of the function shown?
All real numbers greater than or equal to -1
All real numbers greater than or equal to 1
All real numbers
All real numbers greater than or equal to -1 and less than or equal to 5
The graph of a quadratic function is shown on the grid.
Which statement is best supported by the graph?
The function has a zero at 6.
The minimum value of the function is 9.
The vertex of the graph is (9, −3) .
The equation of the axis of symmetry of the graph is x=−3 .
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?
5
280
9
430
Which expression is a factor of 16m2−81 ?
2m−9
16m+9
8m−9
4m+9
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?
5
280
9
430
What is the slope of the line that passes through the points (10, 18) and (−5, −12)
21
2
−2
−21
What equation in slope-intercept form describes the line that passes through the point (−1, −13) and has a slope of 5 ?
y=−5x+12
y=5x−15
y=−12x+26
y=5x−8
Maddie plants a tree that is 6 feet tall outside her house. The label on the tree says it should grow 43 of a foot every year. Write an equation to model y the height of the tree after x years.
This table represents some points on the graph of a linear function. Write a function that would represent the same relationship.
The graph models a linear function. The rate of change of the graph is (a) dollars per hour.
What is the slope of the line represented by 2x+6y=−18 ?
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
What is the solution to 15x+8=3(5x−4)−10x ?
Solve the system of equations.
3x−y=7
2x+3y=1
x = (a)
y = (b)
Simplify (v6)(v−12)=v?
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.
Simplify completely.
405
The graph shows an exponential function. Write an equation to represent the function. Round to the nearest hundredth.
F
G
H
J
A
B
C
D
F
G
H
J
A
B
C
D
-51
-14
-20
20
F
G
H
J
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
F
G
H
J
A
B
C
D
F
G
H
J
A
B
C
D
F
G
H
J
A
B
C
D
3/2
-3/2
-9
-6
A
B
C
D
F
G
H
J
F
G
H
J
A
B
C
D
A
B
C
D
10.75
8.5
-4.3
11.875
A
B
C
D
A
B
C
D
A
B
C
D
F
G
H
J
A
B
C
D
4
-4
-5
-3
F
G
H
J
A
B
C
D
F
G
H
J
