Multiple Choice
Identify the
choice that best completes the statement or answers the question.
The following questions are from
past SAT exams and different math contests. Do your best to answer each one.
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1.
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If  and  what is the value of 
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2.
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Chris is purchasing different types of yarn. He purchases “x”
yellow yarn for $3.49 each, and “y” blue yarns for $5.52 each, after taxes. If
Chris purchased a total of 14 yarns and spent a total of $73.22, which of the following sets of
equations is true?
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3.
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The first number is twice the second. The sum of five times the first
and 1.5 times the second is equal to 17.25. Which of the following equations represents this
system?
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4.
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If  and  , what is the value of
“e”?
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5.
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If  and  , what is the value of 
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6.
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At a fund raiser, a cake is sold for $4 and a pie is sold for $5. A total
of 75 pies and cakes were sold and $340 was raised. How many cakes and pies were sold?
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7.
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What is the value of 
if  ?
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8.
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What is the solution to this set? 
a. |  | c. |  | b. | No
Solutions | d. | Infinitely Many
Solutions |
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9.
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What best describes this set of
equations?  a. | Lines are parallel | c. | Lines intersect at one point | b. | Lines are
perpendicular | d. | Lines
intersect at infinite points |
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10.
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What best describes this set of
equations?  a. | Lines are parallel | c. | Lines intersect at one point | b. | Lines are
perpendicular | d. | Lines
intersect at infinite points |
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11.
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Line “L” contains points  and  . At what point will
line “L” intersection with another line “Q” with equation  a. |  | c. |  | b. | These lines do not
intersect | d. | These lines
intersect at infinitely many points |
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12.
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A dance studio charges $8 per student for its morning class and $16 per student
for its evening class. Three times as many students attended the evening class as attended the
morning class. If the dance studio earned $2,520 on Friday, how many people attended the
morning class?
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13.
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If  and  , what is the value of
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14.
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Line “L” has a slope of zero and a y-intercept of 4. Line
“Q” has a slope that is undefined and an x-intercept of 3. What is the distance
between the origin and the point of intersection between these two lines?
a. |  | c. |  | b. | 4 | d. | 5 |
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15.
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Line “L” passes through points  and  . Line
“Q” is given by the equation  . What is the point of intersection of line
“L” and “Q”?
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16.
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Given the coordinates A  ,  ,  , 
,  , what is the average of the slopes of  ?
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