Grade 11 Mathematics Practice Test - Nebraska

1 Grade11 MathematicsPracticeTestNebraska Department of Education 2010 Directions:On the following pages are multiple-choice questions for the Grade 11 PracticeTest, a Practice opportunity for theNebraska State Accountability Mathematics (NeSA M).Each question will ask you to select an answer from among four all questions: Read each question carefully and choose the best answer. You may use scratch paper to solve the problems. The Mathematics Reference Sheet is provided in the back of the testbooklet. You may refer to this page any time during the test. You may not use a calculator on this test. Be sure to answer ALL the only one of the answers provided is the correct the diagram below to answer the m2 900 m2xyThe area of each square is given in the diagram.

2 What is the value ofx+y?A. 30 metersB. 40 metersC. 70 metersD. 120 is the value of the expression 4 25 43?A. 32B. 44C. 84D. 1123. What is the simplified form of the expression (6x4+4x3 2x2+5) (3x4 2x3+x+ 4)?A. 3x4+2x3 2x2+x+1B. 3x4+2x3 2x2 x+9C. 3x4+6x3 2x2+x+1D. 3x4+6x3 2x2 x+1 Mathematics Practice TESTNEG11 MathPTPaper3Go on to the next the graphs below to answer the 1 2 3 4 5102345 5 4 3 2 1rxy54321 1 2 3 4 5102345 5 4 3 2 1sxy54321 1 2 3 4 5102345 5 4 3 2 1txy54321 1 2 3 4 5102345 5 4 3 2 1uWhich line shows a negative slope? Practice TESTNEG11 MathPTPaper4Go on to the next the figure below to answer the is equilateral and each side measures 10 inches (in.)

3 Segment DC is equal to 5 in. What is thelength ofAD? 2 3 2 3 is the simplest form of the expression2x2 16x 14x2 1? x 7 x 1 B. 2x 2 x 7 x 1 x 1 x 7 x 1 x 1 x 7 x 1 x 1 Mathematics Practice TESTNEG11 MathPTPaper5Go on to the next is the value of 12 2?A. 4B. 48. A line has a slope of34and passes through the point ( 4, 2). Which represents the equation of theline written in standard form?A. 4x 3y= 22B. 3x+4y=20C. 4x 3y= 18D. 3x 4y= 24 Mathematics Practice TESTNEG11 MathPTPaper6Go on to the next the table below to answer the Population By GenderMales Females TotalFreshman81725 Sophomores 151025 Juniors121325 Seniors151025 Total5050100In a school of 100 students, what is the probability of randomly selecting a student that is either afemale or a senior?

4 The vertices ofABC are A (0, 0), B (6, 0), and C (3, 7). What type of triangle isABC?A. acute isosceles triangleB. acute scalene triangleC. right isosceles triangleD. right scalene triangleMATHEMATICS Practice TESTNEG11 MathPTPaper7Go on to the next Which statement is true for a line that passes through points ( 2, 4) and (3, 4)?A. The line has a negative The line has a positive The line has an undefined The line has a zero the figure below to answer the 125 InABC,DEis parallel toBC. The measure of A is 60 and the measure of DEC is 125 . Whatis the measure of B?A. 55 B. 60 C. 65 D. 70 Mathematics Practice TESTNEG11 MathPTPaper8Go on to the next is the value of the expression3 143?

5 Positive exponents, what is the simplest form of the expression x43y2 3? Practice TESTNEG11 MathPTPaper9Go on to the next the linear equationy=23x+ 2, which table of values represents this equation? 4 y 3 3 6 y 6 22y 9 6 0 16. What is they-intercept of the line that contains the points (3, 3) and (6, 1)?A. 5B. 6C. 7D. 8 Mathematics Practice TESTNEG11 MathPTPaper10Go on to the next The coordinates of the vertices for rectangle ABCD are A (2, 4), B (6, 10), C (9, 8) and D (5, 2).What is the length of a diagonal (ACorBD) of the rectangle?A. 13B. 52C. 60D. the frequency table below to answer the TableThe frequency table shows the test scores for each interval.

6 What effect would dropping the twoscores in the 70-74 interval have on the mean and standard deviation ?A. both the mean and standard deviation increaseB. both the mean and standard deviation decreaseC. the mean increases, but the standard deviation decreasesD. the mean decreases, but the standard deviation increasesMATHEMATICS Practice TESTNEG11 MathPTPaper11Go on to the next A car used 12 gallons of gasoline and traveled a total distance of 290 miles. The car s fuel efficiencyis 25 miles per gallon on the highway and 20 miles per gallon in the city. The variablehwillrepresent the number of gallons used on the highway. Which equation could be used to findh?

7 A. 25h+ 20(12 h) = 290B. 25(12 h)+20h= 290C. 25(12 +h)+20h= 290D. 25h+ 20(12 +h) = the spinners below to answer the ASpinner B2314546 All four sections on spinner A are the same size, and all three sections on spinner B are the samesize. Charlie spins Spinner A and Spinner B one time each and adds his results. What is theprobability of getting a sum of 6? Practice TESTNEG11 MathPTPaper12Go on to the next An item sells for $20 per kilogram. What is the cost in cents per gram for this item?A. cents per gramB. cents per gramC. 2 cents per gramD. 20 cents per gram22. Nine tiles numbered 1 through 9 are placed in a bag.

8 A tile is randomly drawn and replaced. Then asecond tile is randomly drawn. What is the probability the first tile drawn and the second tile drawnare both even numbers? found the length of one side of a square to be 40 inches. Which is closest to the length ofthe side of the square?A. about 6 inchesB. about 7 inchesC. about 10 inchesD. about 20 inchesMATHEMATICS Practice TESTNEG11 MathPTPaper13Go on to the next Lineland linekare perpendicular. Linelhas a slope of 3. Linekcontains the points (5, 8) and (2,y). What is the value ofy?A. 1B. 7C. 9D. 17 Mathematics Practice ShapeVolumeTotal Surface AreaRight Circular Cone13 r2hV =12(2 r) + r2 = r + r2T =PyramidT = B + P 1213 BhV =SphereT = 4 r2 r343V = Right Circular CylinderT = 2 rh + 2 r2V = r2hRight PrismT = 2B + PhV = BhNeSA-M High School Reference SheetFormulasacbPythagorean Theoremc2 = a2 + b2d = rtDistance, rate, and time formula, whered = distance, r = rate, t = time.

9 TriangleRectangleTrapezoidParallelogramC ircleShapeAreaCircumferencePerimeterC = d = 2 rP = 2l + 2w12bhA =A = lwh (b1 + b2)12A =A = bhA = r2 Keyb = basew = widthB = area of based = diameterh = heightr = radiusl = length = slant Use for Right-Triangle RelationshipsTrigonometric Ratios30 -60 -90 TriangleRelationships45 -45 -90 TriangleRelationshipsACxB2xx 360 30 abACBcsin A = accos A = bctan A = abxxACBx 245 45 NeSA-M High School Reference SheetSlope-Intercept Form:Standard or General Form:Point-Slope Form:y = mx + by y1 = m (x x1)Ax + By = CLinear Equation FormsCoordinate GeometryMidpoint between two points:Slope of line through two points:Given: Points A(x1, y1), B(x2, y2)() 22,x2 + x1 y2 + y1 Midpoint of AB = m = y2 y1 x2 x1 Distance between two points:AB =(x2 x1)2 + (y2 y1)2 Equation of a Circle(h, k) = centerr = radius(x h)2 + (y k)2 = r2 Quadratic Formulaax2 + bx + c = 0x = b b2 4ac2a1 foot (ft) = 12 inches (in.)

10 1 yard (yd) = 3 feet (ft) = 36 inches (in.)1 mile (mi) = 1,760 yards (yd) = 5,280 feet (ft)1 centimeter (cm) = 10 millimeters (mm)1 meter (m) = 100 centimeters (cm)1 kilometer (km) = 1,000 meters (m)1 square foot (sq. ft) = 144 square inches (sq. in.)1 square yard (sq. yd) = 9 square feet (sq. ft)1 cup = 8 fluid ounces (fl oz)1 pint (pt) = 2 cups1 quart (qt) = 2 pints (pt)1 gallon (gal.) = 4 quarts (qt)1 liter (l) = 1,000 milliliters (ml)1 liter (l) = 1,000 cubic centimeters (cu. cm)1 kiloliter (kl) = 1,000 liters (l)Conversions LengthConversions AreaConversions VolumeStandard UnitsMetric UnitsConversions CapacityConversions Weight/Mass1 cubic yard (cu.)