How to evaluate algebraic expressions

Practice Questions

SAT Math › How to evaluate algebraic expressions

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1

If , , and , then what is the value of ?

2

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

3

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

4

High and low

Above is a graph which gives the high and low temperatures, in degrees Fahrenheit, over a one week period for Jefferson City. Temperature given in degrees Fahrenheit can be converted to the Celsius scale using the following formula, where and are the temperature expressed in degrees Celsius and degrees Fahrenheit, respectively:

On how many days of the week shown did the temperature get below ?

5

represents a positive quantity and represents a negative quantity.

Evaluate .

6

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?

7

High and low 2

Above is a graph which gives the high and low temperatures, in degrees Celsius, over a one week period for Washington City. Temperature given in degrees Celsius can be converted to the Fahrenheit scale using the following formula, where and are the temperature expressed in degrees Celsius and degrees Fahrenheit, respectively:

In degrees Fahrenheit, what was the highest temperature of the week shown (Nearest whole degree)?

8

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?

9

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 ?

10

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

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