Advanced Math - Set - 12 | SAT Math Section

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Mar 23, 2024

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$x=8$$y=x^{2}+8$The graphs of the equations in the given system of equations intersect at the point $(x,y)$ in the $xy$-plane. What is the value of $y$?

Difficulty: Easy

8

24

64

72

$(2x^{3}+3x)(x^{3}-2x)$Which of the following is equivalent to the expression above?

Difficulty: Easy

x^{3}+5x

3x^{3}+x

2x^{6}-x^{4}-6x^{2}

3x^{6}-x^{4}-6x^{2}

Which of the following is equivalent to$(1-p)(1+p+p^{2}+p^{3}+p^{4}+p^{5}+p^{6})$?

Difficulty: Medium

1-p^{8}

1-p^{7}

1-p^{6}

1-p^{5}

$y=x^{2}+3x-f$$y-5x+8=0$How many solutions are there to the system of equations above?

Difficulty: Hard

There are exactly 4 solutions.

There are exactly 2 solutions.

There is exactly 1 solution.

There are no solutions.

$(2x+3)-(x-7)$ Which of the following is equivalent to the given expression?

Difficulty: Medium

$x-4$

$3x-4$

$x+10$

2x^{2}+21

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