COURSE DESCRIPTION
The Standardized College Admissions Test in the United States.
For this section, solve each problem and decide which is the best of the choices given. Fill in the corresponding oval on the answer sheet. You may use any available space for scratch work. (CALCULATOR NOT PERMITTED)
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Question 1 of 10
1. Question
Correct
Incorrect
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Question 2 of 10
2. Question
Which of the following expressions is equivalent to the expression shown above?
Correct
Incorrect
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Question 3 of 10
3. Question
Which of the following represents the function shown?
Correct
Incorrect
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Question 4 of 10
4. Question
If line L shown above is reflected over the x-axis, what is the slope of the new line?
Correct
Incorrect
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Question 5 of 10
5. Question
The mean number of students per classroom, y, at Central High School can be estimated using the equation
where x represents the number of years since 2004 and Which of the following statements is the best interpretation of the number 0.8636 in the context of this problem?Correct
Incorrect
Choice D is correct. When an equation is written in the form
the coefficient of the x-term (in this case 0.8636) is the slope. The slope of a linear equation gives the amount that the mean number of students per classroom (represented by y) changes per year (represented by x). -
Question 6 of 10
6. Question
If
where and what is in terms of Correct
Incorrect
Choice A is correct. Multiplying both sides of the equation by the denominators of the rational expressions in the equation gives
The student should then divide both sides by 2 to isolate the variable, yielding the equation -
Question 7 of 10
7. Question
If
and what is in terms of x?Correct
Incorrect
Choice C is correct. Substituting the expressions equivalent to y and z into
results in the expression The student must apply the distributive property to multiply by 2 and then combine the like terms in the expression. -
Question 8 of 10
8. Question
Which of the following is equal to
(Note:
)Correct
Incorrect
Choice D is correct. Applying the distributive property to multiply the binomials yields the expression
The note in the stem of the question reminds students that therefore Substituting this value into the expression gives the student and combining like terms results in -
Question 9 of 10
9. Question
In the equation above, what is the value of k?
Correct
Incorrect
Choice B is correct. Simplifying the numerators yields
and cross-multiplication gives Solving for k yields -
Question 10 of 10
10. Question
In the system of linear equations above,
is a constant. If the system has no solution, what is the value of Correct
Incorrect
Choice C is correct. If the system of equations has no solution, the graphs of the equations in the xy-plane are parallel lines. To be parallel, the lines must have the same slope, and this will be true if the expression
is a multiple of the expression Since the expression would have to be 12 times the expression This means so The resulting system is and which is equivalent to and which has no solution
where x represents the number of years since 2004 and 
Which of the following statements is the best interpretation of the number 0.8636 in the context of this problem?
the coefficient of the x-term (in this case 0.8636) is the slope. The slope of a linear equation gives the amount that the mean number of students per classroom (represented by y) changes per year (represented by x).
where 
and 
what is 
in terms of 
The student should then divide both sides by 2 to isolate the 
and 
what is 
in terms of x?
The student must apply the distributive property to multiply 
by 2 and then combine the like terms in the expression.
)
The note in the stem of the question reminds students that 
therefore 
Substituting this value into the expression gives the student 
and combining like terms results in 
and cross-multiplication gives 
Solving for k yields 
is a constant. If the system has no solution, what is the value of 
is a multiple of the expression 
Since 
the expression 
so 
The resulting system is 
and 
which is equivalent to 
and 
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