How to evaluate algebraic expressions

Practice Questions

PSAT Math › How to evaluate algebraic expressions

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1

x is 75% of y, which is 8 times the amount of 150% of z. What is x in terms of z?

2

If x and y are integers such that x > y > 0 and _x_2 + _y_2 = 100

Which of the following can be the value of x + y?

I. 10

II. 12

III. 14

IV. 16

V. 18

3

If ab - bc + d = d2 - c2, then what is the value of a when b is two, c is negative one, and d is zero?

4

The symbol is defined as follows:

Which of the following is equivalent to ?

5

The projected sales of a movie are given by the function s(p) = 3000/(2_p_ + a) where s is the number of movies sold, in thousands; p is the price per movie, in dollars; and a is a constant. If according to projections, 75,000 cartidges will be sold at $15 each, how many movies are sold at $20 each?

6

Twenty percent of a number, , is four greater than the product of that number and six. Which of the following algebraic equations could be used to find ?

7

If 11x + 4 = 19x – 12, then what is 2x – 4?

8

Fahrenheit temperature can be converted to its Celsius equivalent using the formula

.

Celsius temperature can be converted to its Fahrenheit equivalent using the formula

.

Mercury boils at . To the nearest degree, convert this to its equivalent Fahrenheit temperature.

9

IF 5x3 = 40, then what is the value of 12x – (x/2)?

10

If m > n, which of the following has to be true?

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