Grade 11 sample test from Smarter Balanced site 10.31.13:

1)The graph ofy = x2is shownon the grid.

(Graph is shown online; not shown in this sample.)

Dragthe graphto showy = (x-4)2 + 2

2) Consider the function f(x) =x2- 5x- 14.

Whichof the numbers in the chart are zeros of the function? SelectYes or No ineachrow.

Choices are:2 7 -2-7

3) Dragthecorrectnumber to the exponent ofxtorewritethe expression as asingleterm.

Choices are:

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.)

5) Look at the graph and the algebraic statement. Place the correct mathematical symbol in the boxso thatthe number line displaysthe solution to the algebraicstatement.

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 / -1 / 0 / 1 / 2 / 3 / 4 / 5

Choices are < = ≤ ≥

---- break in test ---- can go back and check or change ex. 1-5 ----

6) A carrentalcompany charges customers aninitial chargeplus adaily chargeto rent cars. Theinitial chargeis $30 and thedaily chargeis $25.
Therentalcompany charged Jacob$180.
Createan 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 tableshowsseveral inputs and outputs for two functions,f andg, 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.
9) Six radical equations are shown.
Select all equations that have integer solutions.



10) An equation is shown, wherea,b, andcare integers.
y = a|x + b| + c
Numbers you can use to drag are:
-5 -4 -3 -2 -1 0 1 2 3 4 5
Kyleclaimsthat this equation will alwayshave two roots.
Sandyclaimsthat this equation willalwayshave zero roots.
(note: it is difficult to ‘see’ the absolute value lines in answer section)
A.
Dragone number intoeachbox to create an equation thatsupportsKyle'sclaim.
y = ____ |x + _____| + _____
B.
Dragone number intoeachbox to create an equation thatsupportsSandy'sclaim.
y = ____ |x + _____| + _____
C.
Dragone number intoeachbox to create an equation thatshowsthatbothKyle and Sandy areincorrect.
y = ____ |x + _____| + _____

11)The graphs ofy=f(x) andy = g(x) are shown.
Dragpointsontothe coordinate grid toshow
  • a solution fory = f(x) only,
  • a solution fory = g(x) only,
and
  • a solution forf(x) = g(x).
12) An equationis shown.
Usethe Add Point toolto plotthree solutions to this equation on the coordinategrid.
x-axis is divided
0.25 | 0.35 | 0.45 | 0.55 | 0.65 | 0.75

the y-axis is labeled 0 | 2 | 4 | 6 | 8 | 10
13)
ConsidertriangleABC, where angleCis a right angle.
Dragpossiblemeasuresof angleAinto the correctcolumn.
cos A < sin A / cos A = sin A / cos A > sin A
85˚ / 45˚ / 5˚
Possible values for measurement of angle A
5˚ 15˚
25˚ 35˚ 45˚
55˚ 65˚ 75˚ 85˚

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