SAT Math Practice Test 0 (module 1)

Which of the following expression is equal to [math]2^n+2^n[/math]?

Which of the following functions has no [math]x[/math]-intercepts?

The figure shows a right triangle [math]ABC[/math]. Points [math]D[/math] and [math]E[/math] are on [math]\overline{BC}[/math] that satisfies, [math]BD=DE=EC[/math]. If [math]AB=3[/math] and [math]BC=6[/math], which of the following values is an integer?

The table above shows some values of functions [math]f(x)[/math] and [math]g(x)[/math]. What is the value of [math]g(f(4))[/math]?

Let [math]f(x)=mx-3[/math] be a linear function where [math]m[/math] is a constant. If the equation [math]f(x)=6[/math] has one solution, which of the following numbers cannot be [math]m[/math]?

Let [math]f(x)[/math] be a polynomial function. If [math]5x-2[/math] is a factor of [math]f(x)[/math], which of the following points is on the graph of [math]f(x)[/math]?

$$9x+7y=b$$$$ax-21y=-48$$In the given system of equations above, [math]a[/math] and [math]b[/math] are constants. If the system has no solutions, which of the following values could not be [math]b[/math]?

$$f(x)=7-3(2-x)$$If [math]f(m)=13[/math], what is the value of [math]m[/math]?

$$\ell: 3y=5x-7$$The equation of line [math]\ell[/math] is shown above, what is the slope of [math]\ell[/math]?

There are 100 people in a refugee camp. Their daily food is 220 rice balls. Let [math]x[/math] be the number of adults and [math]y[/math] be the number of children. If one adult eats three rice balls and three children eat one rice ball, which of the following equations systems best describes the situation?

Let [math]f(x)[/math] be a linear function with a slope of [math]\dfrac{1}{3}[/math] and a [math]y[/math]-intercept of [math]-2[/math]. Which of the following points is not on the graph of [math]f(x)[/math]?

The figure above shows the graph of [math]f(x)[/math]. Which of the following values is greater than 1?

$$G=aS+13$$The linear equation above represents the relationship between the price of gold [math]G[/math] (USD) and the price of silver [math]S[/math] (USD) where [math]a[/math] is a positive constant. If the price of silver increases by $3 this year, how many dollars of gold increased this year?

$$f(x)=k-\sqrt{x+4}$$If the [math]x[/math]-intercept of [math]f(x)[/math] is 0, what is the value of [math]k[/math]?

The figure above shows the graph of [math]f(x)[/math]. What is the multiplication of its [math]x[/math]-intercepts and [math]y[/math]-intercept?

$$\ell: ax+by=c$$The equation of line [math]\ell[/math] is shown above. If the [math]x[/math]-intercept of [math]\ell[/math] is 0, which of the following must be true?

A bag contains 11 balls numbered from 1 to 11. Nicholas randomly picks one ball first, and then Joanne randomly picks one from the remaining balls. Given that the number Nicholas picked is greater than 8, what is the probability that Joanne picks a ball with a greater number than his?

$$x^2-px+q=0$$
In the equation above, [math]p[/math] and [math]q[/math] are constants. This equation has two solutions[math]a[/math] and 2. If [math]x=3[/math] is a solution to the equation [math]x^2-qx+p=0[/math], what is the value of [math]a[/math]?

Let [math]a[/math] and [math]b[/math] are real numbers. If [math]ab<0[/math], which of the following values is always positive?

There are 3 points [math]A(0,0), B(b,0)[/math], and [math]C(1,c)[/math] on the [math]xy[/math]-plane. Which of the following conditions ensure that the area of triangle [math]ABC[/math] is greater than 1?

Let [math]f(x)[/math] be a [math]n^{\text{th}}[/math]-degree polynomial. If

$$f(1)=f(2)=f(3)=f(4)=\cdots=f(100)$$

which of the following numbers cannot be [math]n[/math]?

$$(x^2-a^2)(x-b)+(cx)^2-(ca)^2=0$$

In the equation above, [math]a, b[/math], and [math]c[/math] are real numbers. Which of the following numbers is not a solution to the equation?