Algebraic Fractions

Practice Questions

PSAT Math › Algebraic Fractions

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1

The maximum number of sweaters that Lauren can sew every day is equal to s, and the amount, in cents, that she charges for each sweater is equal to c. Which of the following expressions is equivalent to the maximum amount of money that Lauren can make, in dollars, after three weeks?

2

If $\dpi{100} \small z>0$ , what is 40 percent of $\dpi{100} \small 30z$ ?

3

Simplify the expression

$\left(\frac{A^{\frac{3}{2}}\sqrt{B}}{C^{-\frac{1}{2}}}\right)\left(\frac{B^{-\frac{1}{2}}}{2\sqrt{AC}}\right)$ .

4

The maximum number of sweaters that Lauren can sew every day is equal to s, and the amount, in cents, that she charges for each sweater is equal to c. Which of the following expressions is equivalent to the maximum amount of money that Lauren can make, in dollars, after three weeks?

5

Solve for .

$\frac{1}{3}(3x-6)+\frac{1}{2}(2x+4)=\frac{1}{5}(15x -5)$

6

Simplify the expression, $\left(\frac{x^2}{y^{-3}}\right)\left(\frac{x^{-1}}{y^3}\right)$ .

7

Simplify the expression,

$\small \frac{a^2+b^2}{a+b}$ .

8

Define the function as follows:

$f (x) = \frac{x^{2}- 1}{3x- 2}$

Give the domain of .

9

If $\dpi{100} \small z>0$ , what is 40 percent of $\dpi{100} \small 30z$ ?

10

Solve for .

$\frac{1}{3}(3x-6)+\frac{1}{2}(2x+4)=\frac{1}{5}(15x -5)$

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