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Practice Exam 4-6
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1
Solve for x: 3x – 2 = 10.
A)x = 4
B)x = 8
C)x = 12
D)x = 36
2
Find the root of the equation 2y – 3 = 5y + 3.
A)y = 0
B)y = –1
C)y = –2
D)y = 2
3
An equilateral triangle has the same perimeter as a square with a side length of 3 cm. Find the side length of the triangle.
A)6 cm
B)4 cm
C)3 cm
D)2 cm
4
Which of these equations has the solution a = 4?
A)3a + 1 = 11
B)4a + 3 = 2a + 5
C)3a – 5 = a – 3
D)2a – 1 = 7
5
Rearrange the formula P = a + b + c to isolate the variable a.
A)a = Pbc
B)a = P + b + c
C)a = P + bc
D)a = Pb + c
6
Natasha has a new job with a landscaping company. In her first week, she worked 30 h and was paid $240. In her second week she worked 42 h and was paid $336. What is the equation that relates her pay P to the number of hours worked h?
A)P = 6.5h + 45
B)P = 7h + 42
C)P = 7.5h + 21
D)P = 8h
7
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The cost C of renting a fishing boat for h hours is shown. What is the equation that relates C and h?
A)C = 15h + 10
B)C = 10h + 15
C)C = 10h
D)C = 15h
8
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What is the slope of the line segment AB?
A)–6
B)–1
C)1
D)6
9
Lynn was scuba diving at a depth of 40 m when her dive computer indicated that it was time to begin a standard ascent. She noted a change in depth of 10 m after 40 s ascending. What is the standard rate of ascent?
A)10 m/s
B)0.75 m/s
C)0.5 m/s
D)0.25 m/s
10
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Calculate the first differences to determine which of the following statements is true.
A)The relation is linear because the first differences are constant.
B)The relation is non-linear because the first differences are constant.
C)The relation is linear because the first differences are negative.
D)The relation is non-linear because the first differences are negative.
11
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Consider the line shown. What is the equation of the line?
A)y = –2x + 1
B)y = –2x – 1
C)y = 2x + 1
D)y = 2x – 1
12
Rearrange the equation 3x + 4y – 5 = 0 into slope-intercept form.
A)<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070973199/362676/pom9_ch4_to_6_practice_exam1_ques12a.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (1.0K)</a>
B)<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070973199/362676/pom9_ch4_to_6_practice_exam1_ques12b.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (1.0K)</a>
C)<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070973199/362676/pom9_ch4_to_6_practice_exam1_ques12c.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (1.0K)</a>
D)<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070973199/362676/pom9_ch4_to_6_practice_exam1_ques12d.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (1.0K)</a>
13
Determine the x- and y-intercepts for the line 3x – 4y – 24 = 0.
A)The x-intercept is 8. The y-intercept is –6.
B)The x-intercept is –8. The y-intercept is 6.
C)The x-intercept is 8. The y-intercept is 6.
D)The x-intercept is –8. The y-intercept is –6.
14
A line passes through the points P(–2, –5) and Q(1, 4). What is the equation of the line?
A)y = 3x – 1
B)y = 3x + 1
C)y = –3x – 1
D)y = –3x + 1
15
A DVD club sells DVDs for a flat price of $15 each to anyone. Alternatively, you can become a member by paying dues of $50, and purchase DVDs at a discounted price of $10. Use a linear system to determine the number of DVDs bought that results in the same cost for either plan.
A)5
B)8
C)10
D)15







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