SAT Math
Passport to Advanced Math — SAT Practice Questions
Passport to Advanced Math focuses on the more complex relationships you will see on the SAT: quadratic and other nonlinear equations, polynomial expressions, and working fluently with equivalent forms of an expression. These questions reward strong algebraic manipulation skills.
Skills covered in Passport to Advanced Math
- Nonlinear Functions
- Nonlinear Equations in One Variable
- Systems Involving Nonlinear Equations
- Equivalent Expressions
Practice Passport to Advanced Math questions
- f x = 4 x 2 - 50 x + 126 The given equation defines the
- x 2 + y + 7 = 7 20 x + 100 - y = 0
- 0.36 x 2 + 0.63 x + 1.17 The given expression can be rewritten as a
- The function p is defined by p n = 7 n 3 . What is the
- Which expression is equivalent to 2 x 2 + x - 9 + x 2 +
- x 2 25 = 36 What is a solution to the given equation?
- The parabola opens downward. The vertex is at point (4 comma 9). The parabola passes through
- f x = x + 7 2 + 4 The function f is defined by the
- y = 76 y = x 2 - 5 The graphs of the given equations in
- The function f w = 6 w 2 gives the area of a rectangle, in  
- The exponential function g is defined by g x = 19 · a x , where
- Which of the following is equivalent to the expression above?
- In quadrant 3, the curve rises to its maximum at point (0 comma negative 3). In
- q ( x ) = 32 ( 2 x ) Which table gives three values of
- In the expression , p is a constant. This expression is equivalent to the expression .
- 64 x 2 - 16 a + 4 b x + a b = 0 In
- A quadratic function models the height, in feet, of an object above the ground in terms
- Which expression is equivalent to 8 x 3 + 8 - x 3 - 2 ?
- A model predicts that the population of Bergen was 15,000 in 2005 . The model also
- - 4 x 2 - 7 x = - 36 What is the positive solution to
- Which of the following is equivalent to , where ?
- 5 x 2 - 37 x - 24 = 0 What is the positive solution to
- Let the function p be defined as , where c is a constant. If , what
- x 2 + y + 10 = 10 8 x + 16 - y = 0
- Which expression is equivalent to 256 w 2 - 676 ?
- Which expression is equivalent to 9 x + 6 x + 2 y + 3 y
- p t = 90,000 1.06 t The given function p models the population of Lowell t
- Thomas installed a new stove in his restaurant. At the time of installation, the stove had
- The equation above is true for all x , where a and b are constants. What
- Which expression is equivalent to 8 y z y 7 z ?
- The equation above models the number of members, M, of a gym t years after the
- The equation is true for all , where a and d are integers. What is the
- The function g is defined by g ( x ) = | x + 18 |
- 70 n 5 70 n 6 2 For what value of x is the given expression
- 7 x 2 - 20 x - 32 = 0 What is the positive solution to
- What is the solution to the equation above?
- The solutions to x 2 + 6 x + 7 = 0 are r and s
- Which of the following values of x satisfies the given equation?
- A rectangle has an area of 155 square inches. The length of the rectangle is 4
- The expression 90 y 5 - 54 y 4 is equivalent to r y 4 15
- f ( x ) = ( x + 6 ) ( x + 5 ) (
- x g x - 1 25 0 1 1 1 25 2 1 625 For the
- In the xy -plane, a line with equation 2 y = c for some constant c
- Which of the following functions has(have) a minimum value at - 3 ? f ( x
- ( 5 x 3 - 3 ) - ( - 4 x 3 + 8 )
- The function g is defined by g x = 4 x - 6 . What is
- The quadratic function graphed above models a particular measure of animal diversity as a function
- Which expression is equivalent to y + 12 x - 8 + y x - 8
- What are the solutions to the given equation?
- Which of the following expressions is equivalent to , for ?
- What value of x satisfies the equation above?
- y = x 2 - 14 x + 22 The given equation relates the variables x
- x h x 0 1.23 2 1.54 4 1.94 The table shows the exponential relationship between
- Moving from left to right: The curve is shown in quadrant 1. The curve trends down
- The function f is defined by f x = 4 x - 1 . What is
- A system of equations consists of a quadratic equation and a linear equation. The equations in
- Which of the following is equivalent to ?
- Which of the following expressions is equivalent to ?
- The expression above can be written in the form , where a and b are constants.
- The function f is defined by f ( x ) = 6 + x . What
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