Download Grade 11 Sample Text

Grade 11 sample test from Smarter Balanced site
10.31.13: https://sbacpt.tds.airast.org/student/login.aspx?c=SBAC_PT
1) The graph of y = x2 is shown on the grid.
(Graph is shown online; not shown in this sample.)
Drag the graph to show y = (x-4)2 + 2
2) Consider the function f(x) = x2 - 5x - 14.
Which of the numbers in the chart are zeros of the
function? Select Yes or No in each row.
Choices are:
2
7
-2
-7
3) Drag the correct number to the exponent
of x to rewrite the expression as a single term.
Choices are:
3
2
3
5 2
1
1 1
1 0
6
3
2
3 6
-5
X X X 6
= X
X
4) The graph of a polynomial function is shown below.
Create a possible function for the graph.
Choices of available terms are:
(x+1) (x-1) (x+2) (x-2) (x+3) (x-3) (x+4) (x-4)
(Graph is shown online; not shown in this sample.)
Page 1 of 6
5) Look at the graph and the algebraic statement. Place
the correct mathematical symbol in the box so that the
number line displays the solution to the
algebraic statement.
f(x) = 2(x+3)
(student given a number line from -5 0 5 with filled circle at the point where 2
would be and a ray from that point to the right)
-2
Choices are < = > ≤
-1
0
1
2
3
4
≥
---- break in test ---- can go back and check or change ex. 1-5 ----
Page 2 of 6
5
6) A car rental company charges customers an initial charge plus
a daily charge to rent cars. The initial charge is $30 and the daily
charge is $25.
The rental company charged Jacob $180.
Create an equation that can be used to find the number of days, x, Jacob
rented the car.
Click the buttons to create your answer.
7) The table shows several inputs and outputs for two
functions, f and g, that are both continuous on the
interval 0 to 8.
Students given a number line 0, 1, 2, 3, 4, 5, 6, 7, 8
x
f(x)
g(x)
0
-5
120
1
-4
103
2
-1
86
3
4
69
4
11
52
5
20
35
6
31
18
7
44
1
8
59
16
What is the unit interval where f(x) = g(x) ?
8) $ 1000 price for lottery … evenly divided among the winners.
Initially there are x winners but then one more winner comes forward
causing each winner to receive $50 less. Create an equation that
represents the situation and can be used to solve for x, the initial
number of winners.
Page 3 of 6
9) Six radical equations are shown.
Select all equations that have integer solutions.
64 = x - 3
39 - 3 = x
x - 5 = 20
x =
3x = 75
16
8
2x = 100
10) An equation is shown, where a,b, and c are integers.
y = a|x + b| + c
-5
-4
Numbers you can use to drag are:
-3
-2
-1
0
1
2
3
4
5
Kyle claims that this equation will always have two roots.
Sandy claims that this equation will always have zero roots.
(note: it is difficult to ‘see’ the absolute value lines in answer section)
A.
Drag one number into each box to create an equation
that supports Kyle's claim.
y = ____ |x + _____| + _____
B.
Drag one number into each box to create an equation
that supports Sandy's claim.
y = ____ |x + _____| + _____
C.
Drag one number into each box to create an equation
that shows that both Kyle and Sandy are incorrect.
y = ____ |x + _____| + _____
Page 4 of 6
11) The graphs of y=f(x) and y = g(x) are shown.
Drag points onto the coordinate grid to show
 a solution for y = f(x) only,
 a solution for y = g(x) only,
and
 a solution for f(x) = g(x).
3
12) An equation is shown. y = x
Use the Add Point tool to plot three solutions to this
equation on the coordinate grid.
x-axis is divided
0.25 | 0.35
|
the y-axis is labeled
0 | 2 | 4 | 6 | 8 | 10
Page 5 of 6
0.45
|
0.55
|
0.65
| 0.75
13)
Consider triangle ABC, where angle C is a right angle.
Drag possible measures of angle A into the
correct column.
cos A < sin A
cos A = sin A
85˚
cos A > sin A
45˚
5˚
Possible values for measurement of angle A
5˚
15˚
25˚
55˚
Page 6 of 6
35˚
45˚
65˚
75˚
85˚
Page 7 of 6