Algebra Regents Practice Test 1 - Yorktown...
Transcript of Algebra Regents Practice Test 1 - Yorktown...
(i. The accompanying graph shows the high temperatures inRegents Practice Test 1 Algebra Elmira, New York for a 5-day period in January.Integrated Algebra .y)]
~ Part 1: Multiple Choice _.~t ~'~)j ~-~ 1~,3 ... ,jJ
d . . I +' 12a c . . I1. Expresse In sImp est lorm, -- IS eqUlva ent to: g- 10 4ac $ c
[1] 8a2 [2] 3a2 [3] 3a3 [4] 3a3c F .'
:, -j I ., I
M T .V·I' +-r Day
2. Which trinomial is equivalent to (3x - 2)(x + 4)? [I] 3x2 + lOx + 8 [3] 3x2 + lOx - 8 Which statement describes the data?
? 2[2] 3x--IOx-8 [4] 3x -IOx+8 [I] median = mode [3] mean < mode [2] median = mean [4] mean = mode
3. Which property is illustrated by the equation 7. What is the slope of the line containing the points (-9,2) and (a + b) + c = c + (a + b) ?
(3,14)?[I] associative [3] distributive 8[2] commutative [4] identity [I] I [2] -I [3] [4] -2 3
4. Which interval notation is the set of all real numbers 8. What is the value of w in the equation i w+ 8 =~ w -7 ? 4 3represented by this graph? ~e ; (l !, '1! ':,
[I] 2.4 [2] -0.2 [3] -13.846 [4] -36 [1] (-2,5) [2] [-2,5) [3] (-2,5] [4] [-2,5]
9. One of the roots of the equation x2 + 3x - 18 = 0 is 3. What is 5. What is the value of y in the equation 2(3y - 4) = 10 ? the other root?
[I] 15 [2] 6 [3] -6 [4] -21 [I] I [2] 2~ [3] 3 [4] ~
3 3
! O. Which ordered pair is not in the solution set of y> 2x + I ? [I] (1,4) [2] (1,6) [3] (3,8) [4] (2,5)
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11. What is the sum of 5.J7 and 3m ? 15. In the scatter plot shown at the right, which statement best describes the correlation between the days of the week and[1] 9.J7 [2] 11.J7 [3] 60.J7 [4] 8m the number of bicycles sold? lOr •
[I] high negative correlation
2 [2] low negative correlation 8 " 12. Given the equations y = x - 4x - 5 and y + x = -1, one [3] high positive correlation ~ point that satisfies both equations is: [4] low positive correlation ~ ..[1] (-2, I) [2] (4,-5) [3] (2,-9) [4] (5,0) u
~ 4 rn
2~ ..
13. At Bison High School, there are 16 students in English Club, 16 students in Science Club and 20 students in Math Club. M T W Th F
Of these students, there are 5 students in both the English and Days althe Week
Science Clubs; 6 students in both the Science and Math Clubs; and 8 in both the English and Math Clubs. If only 2 1(). Which graph indicates correctly the graph of the inequalitystudents are in all three clubs, how many students are in at Y:: -2\" + I ? least one of the clubs? [I] 52 [2] 35 [3] 30 [4] 20
....[1] . \\:[. ....................•............~:J ..... . .. [3] " "'~l.
'"...
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.;. ..........~.·<~,I .. '. "',--.! i '. I " •14. In a cup there are 4 quarters, 5 dimes, 6 nickels and
10 pennies. If one coin is selected at random, what is the :T--X-::~_··:]·_-~---·~~-T-'::· .! 1 . . ~ probability that the coin has a letter "n" in its name?
.~: ! [I] .i- [2] ~ [3] ~ [4] Ji '.:"i"25 4 16 25
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\ :"f[4] \ AI! \'·f'\:,:.
, \tto '
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[2]
17. Which type of graph is shown in the diagram? [I] absolute value 25
[2] exponential [3] linear 20
[4] quadratic 15
10
5
-5 -4 -3 -2 -1 1 2 3 4 5
-5
. 3x x. . I18. The expressIOn --- IS eqUlva ent to 4 3
[I] ~x [2] 14x [3] 5x [4] 5x 7 12 7 12
19. For which value of x is ,x-2 undefined? x· + 3x+ 2
[1] 1 [2] 2 [3] -2 [4] 4
20. The height, h, of a cylinder is 3 units less than 4 times its radius, r. Which expression represents the height of the cylinder in terms of its radius?
[I] 4r+3 [2] 3-4r [3] 4r-3h [4] 4r-3
21. Which graph represents a function? [I] [3]
Y;y• ,/4
I -"" X ~-~r<'~ -- _.~ X-'\
.... V~- ......." .
" ,~
[2] [4]
y-~
Y \ 1
~ _____". r ....-+_._.- . }o. x ~--~X
~L// !
22. The length of a rectangular garden is 3 yards more than its width. If the area of the garden is 36 square yards, which equation could be used to find the dimensions of the garden?
[I] x2 +3x+36=0 [3] x2 -3x-36=0 ? 2[2] x--3x+36=0 [4] x +3x-36=0
23. Which expression represents the product of
6.5 x 104 and 2Ax 10J ?
[I] 15.6x108 [3] 1.56xI012
[2] 8.9x 107 [4] 1.56x 108
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24. An LCD panel is used for a computer monitor. When 29. Let x and y be numbers such that 0 < x < y < I, and rounded to the nearest inch, the length of the monitor is let d = x - y. Which graph could represent the location 16 inches and the width is 12 inches. Which of these cannot of d on the number line? be the area of the monitor? [1] .J
[I] [2]
174 sq. in 186 sq. in.
[3] [4]
192 sq. in. 204 sq. in.
--1 C' :..
[2] d
25. Trina has a college fund started with a deposit of $10,000 which earns 5% annually. 1fno other monies are [3]
I
-1
I
(:,
d .. I
;..
I
",J
I I deposited, how much money will Trina have in her fund at -1 C' l.. Y the end of three years? [I] $11,500 [3] $15,000 [4]
I d • I I I I I
26. [2] $11,576.25 [4] $25,000
A company is designing a cylinder to hold marbles for a new -1 I) ,:.:. y
game it is inventing. The cylinder has a height of 18 inches 30. John left his home and walked 3 blocks to his school, and a diameter of6 inches. Find the volume of the cylinder as shown in the accompanying graph. What is one possible to the nearest tenth of a cubic inch. interpretation of the section of the graph from point B to [1] 108.0 [2] 508.9 [3] 678.6 [4] 1065.92 point C?
[l
27. Which point on the accompanying number line best =~" :j+
01=
2tI'::0represents the position of J5 ? ,,"<:r: ~.i.J:' ~cA 8 C D
·-1--1 I-I I I 1-'-' , + I , .. ~..c
6~ 't/-5-4-·~!-2-1 () 1:2 -345 f. '7
[I] A [2] B [3] C [4] D i/
Time
28. Given the following system of equations, find the value [1] John arrived at school and stayed throughout the day. for x in the solution. 5x - 4y = 28 [2] John waited before crossing a busy street.
3x + y= 44 [3] John returned home to get his mathematics homework. [4] John reached the top of a hill and began walking on
[I] 8 [2] 4 [3] 12 [4] 9 level ground.
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Regents Practice Test 1 Algebra Integrated Algebra
~ Part II: Show work on separate paper.
31 Solve for x: 2 (x - 3) = 1.2 - x
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a. Graph the equation from t = 0 to t = 5 seconds, including all integral
values of t from 0 to 5.
b. What is the value of t at which h has its greatest value?
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Algebra Regents Practice Test 1 - Integrated Algebra "
j
Part I:
(1) 2 (9) 3 (17) 2 (25) 2
(2) 3 (10) 4 (18) 4 (26) 2
(3) 2 (11) 2 (19) 3 (27) 3
(4) 3 (12) 2 (20) 4 (28) 3
(5) 3 (13) 2 (21) 4 (29) 4
(6) 1 (14) 4 (22) 4 (30) 2
(7) 1 (15) 3 (23) 4
(8) 4 (16) 4 (24) 1
Part II: (31) 2.4 (32) 20.7% (33) 16
Part III: (34) x = -6; x = 4 (35) 18 (36) 21
Part IV: (37) 153 meters (38) greatest (39) median 91.5 {= 2.5 mode 92
i h score 96
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