SAT MAth Practice questions – all topics
- Advanced Math Weightage: 35% Questions: 13-15
- Equivalent expressions
- Nonlinear equations in one variable and systems of equations in two variables
- Nonlinear functions
SAT MAth and English – full syllabus practice tests
Question
For the quadratic function \(f\), the table shows some values of x and their corresponding values of \(f(x)\). Which of the following could be the graph of \(y=f(x)\)?
\(x\) -1 0 1
f(\(x\)) 0 -4 0
Answer/Explanation
Ans: A
Question
What is the \(y\)-intercept of the graph of \(y\)=(\(x\)−4)2+3 in the \(xy\)-plane?
- (0,−13)
- (0,0)
- (0,3)
- (0,19)
Answer/Explanation
Ans: D
Question
\(y\)=(\(x\)+5)2-8
The equation above can be represented by a parabola in the \(xy\)-plane. The parabola is then translated so that the vertex is at (O, O). Which of the following best describes the translation?
- 5 units in the negative \(x\) direction and 8 units in the negative \(y\) direction
- 5 units in the negative \(x\) direction and 8 units in the positive \(y\) direction
- 5 units in the positive \(x\) direction and 8 units in the negative \(y\) direction
- 5 units in the positive \(x\) direction and 8 units in the positive \(y\) direction
Answer/Explanation
Ans: D
Question
The graph of the function \(f\) defined by \(f(x)=\frac{1}{4}(x+4)^{2}-5\) is shown. The graph passes through the points (-10, \(a\)) and (\(a\), \(b\)), where \(a\) and \(b\) are constants. What is the value of \(b\) ?
- 4
- 9
- 11
- 16
Answer/Explanation
Ans: C
Question
The graph of \(y\) = \(a\)\(x\)2 + \(c\), where \(a\) and \(c\) are constants, is shown. What is the value of \(a\) ?
Answer/Explanation
Ans: .25, 1/4
Question
A potter is selling vases. The function \(p\) gives the total profit \(p(x)\), in dollars, the potter will receive if the vases are sold at a price of \(x\) dollars each. The graph of \(y = p(x)\) is shown.
What equation represents the relationship between the price of one vase and the profit?
- \(p(x)=-6(x-18)^{2} +34\)
- \(p(x) = -6(x – 18)^{2} + 1536\)
- \(p(x) = -6(x – 34)^{2}+ 18\)
- \(p(x) = -6(x – 34)^{2}+ 1536\)
Answer/Explanation
Ans: B