Advanced Math - Set - 6 | SAT Math Section

Chief Editor

Mar 23, 2024

Take all 5 MCQs in interactive quiz mode with timer and progress tracking

$5x^{2}-37x-24=0$What is the positive solution to the given equation?

Difficulty: Medium

\frac{3}{5}

$3$

$8$

$37$

The expression $4x^{2}+bx-45$, where $b$ is a constant, can be rewritten as $(hx+k)(x+j)$, where $h$, $k$, and $j$ are integer constants. Which of the following must be an integer?

Difficulty: Hard

\frac{b}{h}

\frac{b}{k}

\frac{45}{h}

\frac{45}{k}

$$y=0.25x^{2}-7.5x+90.25$$The equation gives the estimated stock price $y$ in dollars, for a certain company $x$ days after a new product is launched, where $0\leq x\leq 20$. Which statement is the best interpretation of $(x,y)=(1,83)$ in this context?

Difficulty: Medium

The company's estimated stock price increased $83 every day after the new product launched.

The company's estimated stock price increased $1 every 83 days after the new product launched.

1 day after the new product launched, the company's estimated stock price is $83.

83 days after the new product launched, the company's estimated stock price is $1.

$(x-1)^{2}=-4$How many distinct real solutions does the given equation have?

Difficulty: Hard

Exactly one

Exactly two

Infinitely many

Zero

Which expression is a factor of $2x^{2}+38x+107$

Difficulty: Easy

$2$

$5x$

$38x$

2x^{2}

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