### 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

CorrectIncorrect - Question 2 of 10
##### 2. Question

Which of the following expressions is equivalent to the expression shown above?

CorrectIncorrect - Question 3 of 10
##### 3. Question

Which of the following represents the function shown?

CorrectIncorrect - 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?CorrectIncorrect - 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?CorrectIncorrectChoice 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

CorrectIncorrectChoice 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*?CorrectIncorrectChoice 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: )

CorrectIncorrectChoice 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*?CorrectIncorrectChoice 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

CorrectIncorrectChoice 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

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