2008-2009 Math Algebra I Benchmark 1 » Teacher Version
Directions: For each of the following questions, decide which of the choices is best and fill in the corresponding
space on the answer document.
1. What is the opposite of – (a – 3b)?
A.
a + 3b
B.
a – 3b
C.
–a – 3b
D.
–a + 3b
4.
Find
A.
B.
ItemID DD.1000318
Correct B
Standard(s) AI.2.0 ( 8,9,10,11,12 )
2.
What is the reciprocal of
A.
.
C.
D.
?
ItemID DD-HOLT.1036026
Correct B
Standard(s) AI.2.0 ( 8,9,10,11,12 )
B.
C.
5. Solve: 7|x-6|=49
A.
x = 55
D.
ItemID DD.1000321
Correct C
Standard(s) AI.2.0 ( 8,9,10,11,12 )
10x – 19 ≤ 6x – 1
B.
10x – 11 ≤ 6x – 1
C.
10x – 7 ≤ 6x – 1
D.
10x + 19 ≤ 6x – 1
x = 13
C.
x = 55 or x = –43
D.
x = 13 or x = –1
ItemID DD-HOLT.1036084
Correct D
Standard(s) AI.3.0 ( 8,9,10,11,12 )
3. Which inequality is equivalent to
5(2x – 3) – 4 ≤ 6x – 1 ?
A.
B.
ItemID DD.1000344
Correct A
Standard(s) AI.4.0 ( 8,9,10,11,12 )
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Page 1 of 8
DataDirector Exam ID: 1426
2008-2009 Math Algebra I Benchmark 1 » Teacher Version
6.
Simplify
A.
9. LaDainian tried solving an equation.
.
On which step did his first error occur?
3(6x – 4) – 2(5x + 1) = 22
Step 1: 18x – 12 – 2(5x + 1) = 22
Step 2: 18x – 12 – 10x + 2 = 22
Step 3: 8x – 14 = 22
Step 4: 8x = 8
Step 5: x = 1
B.
C.
D.
ItemID DD-HOLT.1036236
Correct A
Standard(s) AI.2.0 ( 8,9,10,11,12 )
A.
Step 1
B.
Step 2
C.
Step 3
D.
Step 4
ItemID DD.1000345
Correct B
Standard(s) AI.5.0 ( 8,9,10,11,12 )
7. Which example shows that the Associative
Property does not hold for division?
A.
B.
C.
D.
ItemID DD-HOLT.1036429
Correct A
Standard(s) AI.1.1 ( 8,9,10,11,12 )
8. Juan needs to take a taxi to get to the movies. The
taxi charges $ 3.50 for the first mile, and then $
2.75 for each mile after that. If the total charge is
$18.63 , then how far was Juan ´s taxi ride to the
movie?
A.
6.5 miles
B.
5.3 miles
C.
6.8 miles
D.
5.5 miles
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ItemID DD-HOLT.1039723
Correct A
Standard(s) AI.5.0 ( 8,9,10,11,12 )
© 2009 Houghton Mifflin Harcourt. All rights reserved.
2008-2009 Math Algebra I Benchmark 1 » Teacher Version
10. Which graph represents
D.
?
A.
ItemID DD.1000297
Correct A
Standard(s) AI.6.0 ( 8,9,10,11,12 )
B.
11. What are the x- and y-intercepts of the line
defined by 2x – 3y = 12?
A.
x-int = 6, y-int = –4
B.
x-int = -4, y-int = 6
C.
x-int = 2, y-int = –3
D.
x-int = 6, y-int = 4
ItemID DD.1000362
Correct A
Standard(s) AI.6.0 ( 8,9,10,11,12 )
C.
12. Write an equation in point-slope form for the line
that has a slope of 6 and contains the point (–8 ,–
7).
A.
x–8=6(y–7)
B.
y+8=6(x+7)
C.
y–7=6(x–8)
D.
y+7=6(x+8)
ItemID DD-HOLT.1036178
Correct D
Standard(s) AI.7.0 ( 8,9,10,11,12 )
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DataDirector Exam ID: 1426
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© 2009 Houghton Mifflin Harcourt. All rights reserved.
2008-2009 Math Algebra I Benchmark 1 » Teacher Version
13. Write the equation of the line with slope 2
through the point (4, 7) in point-slope form.
A.
y=2x-1
B.
y=2x+7
C.
y-4=2(x-7)
D.
y-7=2(x-4)
ItemID DD-HOLT.1037334
Correct D
Standard(s) AI.7.0 ( 8,9,10,11,12 )
14. What is the domain, D, and the
range, R, of the graph shown?
A.
-2 ≤ D ≤ 3
-1 ≤ R ≤ 2
B.
-1 ≤ D ≤ 2
-2 ≤ R ≤ 3
C.
D = {-2, 0, 3}
R = {-1, 1, 2}
D.
D = {-1, 1, 2}
R = {-2, 0, 3}
ItemID DD.1000308
Correct C
Standard(s) AI.17.0 ( 8,9,10,11,12 )
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2008-2009 Math Algebra I Benchmark 1 » Teacher Version
15. Which graph represents
y= 3x² + 3 ?
A.
D.
ItemID DD.1000313
Correct A
Standard(s) AI.21.0 ( 8,9,10,11,12 )
B.
16. What is the complete factorization of
4x² + 20xy + 25y² ?
A.
(x + 5y)((4x + 5y)
B.
(2x – 5y)(2x + 5y)
C.
(2x – 5y)²
D.
(2x + 5y)²
ItemID DD.1000400
Correct D
Standard(s) AI.11.0 ( 8,9,10,11,12 )
C.
17. Which of the following is equivalent to
–3(7x + 4) ≤ 5(x – 2)?
A.
–21x – 12 ≤ 5x – 10
B.
–21x + 12 ≤ 5x – 10
C.
–21x + 4 ≤ 5x – 2
D.
–21x – 4 ≤ 5x – 2
ItemID Meyer, Susan.2581
Correct A
Standard(s) AI.4.0 ( 8,9,10,11,12 )
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2008-2009 Math Algebra I Benchmark 1 » Teacher Version
18. Solve 3(x + 5) – 4x ≥ 13.
A.
x≥2
B.
x≤2
C.
x≥8
D.
x≤8
21. Last week, Glenda earned $84. She earned $14
mowing lawns. She earned the rest of the money
baby-sitting for $7 per hour. Use the equation
below to find the number of hours (h) Glenda
spent baby-sitting last week.
84 = 7h + 14
A.
10 hours
ItemID Meyer, Susan.2582
Correct B
Standard(s) AI.5.0 ( 8,9,10,11,12 )
13 = 4(–x – 7) + 4x – 3(2 + 2x)
14x + 34
B.
–6x – 34
C.
2x + 11
D.
–6x + 22
14 hours
C.
63 hours
D.
70 hours
ItemID A2K.1010035
Correct A
Standard(s) AI.5.0 ( 8,9,10,11,12 )
19. Simplify the right side of the equation below.
A.
B.
22. Deena compares the total membership fees she
will have paid after m months for two fitness
clubs. The equation below shows when the total
amounts paid will be the same at both clubs.
3(25 + 10m) = 15m + 225
After how many months will the amounts be the
same?
A.
10 months
ItemID Meyer, Susan.2580
Correct B
Standard(s) AI.4.0 ( 8,9,10,11,12 )
20.
A line has a slope of
and goes through the
point (3, –6). Which of these is an equation of the
line?
B.
15 months
C.
20 months
D.
30 months
ItemID A2K.1014556
Correct A
Standard(s) AI.5.0 ( 8,9,10,11,12 )
A.
23. Lisa has budgeted $70.00 per month for her cell
phone. Her service plan costs $45.00 per month
for 800 minutes of calls and $0.15 per minute
after the first 800 minutes. What is the maximum
number of minutes per month that Lisa can use
her cell phone and stay within her budget?
A.
1,266 minutes
B.
C.
D.
ItemID A2K.1021246
Correct C
Standard(s) AI.7.0 ( 8,9,10,11,12 )
B.
966 minutes
C.
466 minutes
D.
166 minutes
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ItemID A2K.1013254
Correct B
Standard(s) AI.5.0 ( 8,9,10,11,12 )
© 2009 Houghton Mifflin Harcourt. All rights reserved.
2008-2009 Math Algebra I Benchmark 1 » Teacher Version
24. Which of the following is the graph of
25. Which is an equation of a line parallel to the line
2x–3y≥12?
defined by
and passing through the
point (2, –4) ?
A.
2x + 5y = –16
A.
B.
2x – 5y = 24
C.
5x + 2y = 2
D.
5x – 2y = 18
ItemID DD.1007256
Correct B
Standard(s) AI.8.0 ( 8,9,10,11,12 )
B.
26. Which quadratic function, when graphed, has xintercepts of 4 and -3?
A.
y = (x - 3)(x + 4)
B.
y = (x - 3)(2x - 8)
C.
y = (3x -1)(4x + 1)
D.
y = (3x +1)(8x - 2)
ItemID Cradduck, Jerry.2400
Correct B
Standard(s) AI.21.0 ( 8,9,10,11,12 )
C.
D.
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ItemID DD.1000304
Correct B
Standard(s) AI.6.0 ( 8,9,10,11,12 )
© 2009 Houghton Mifflin Harcourt. All rights reserved.
2008-2009 Math Algebra I Benchmark 1 » Teacher Version
27. Look at the graph below.
28. For the graph of the linear function
y = 2x - 4, where would the line intercept the yaxis?
A.
(0,-4)
B.
(-4,0)
C.
(0,2)
D.
(2,0)
ItemID Cradduck, Jerry.2735
Correct A
Standard(s) AI.6.0 ( 8,9,10,11,12 )
29. What is the complete factored form of
n² - 11n + 30?
Which function is represented by the graph?
A.
(n - 15)(n + 4)
B.
(n - 10)(n - 3)
C.
(n - 6)(n - 5)
D.
(n - 2)(n - 15)
ItemID Cradduck, Jerry.2736
Correct C
Standard(s) AI.11.0 ( 8,9,10,11,12 )
A.
B.
30. Marvel was given the points
C.
(3, 1), (1,-1), (3, 2) and (2, 1). Which
D.
of those points lie on the line defined
ItemID A2K.1013626
Correct A
Standard(s) AI.21.0 ( 8,9,10,11,12 )
by 3x - 2y = 5?
A.
(1, -1) only
B.
(3, 1) and (2, 1) only
C.
(1, -1) and (3, 2) only
D.
All the points lie on the line.
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ItemID Cradduck, Jerry.2737
Correct C
Standard(s) AI.7.0 ( 8,9,10,11,12 )
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