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Place Value into an Expression

CONCEPTS

Tips

• The sign, number, and units are all affected when placing a value into an expression

• When placing a value into an expression, always use parentheses when the value is a negative number. This is especially important when that value is being subtracted (5 – (–9))…–9 is the value being inserted into the expression.


EXAMPLES

When x = –1, what is x² => (–1)² = 1,

When x = –1, what is -x² => –(–1)² = –(1) = –1

When x = 5 apples, what is x² => (5 apples)² = 25 apples²


Functions: f(x) & f(x, y) Notations

• y = f(x) = x + 3 –> f(x) is used to show there is 1 variable in the expression, x + 3.

• y = f(a, b) = a + 3b –> f(a, b) is used to show that there are 2 variables in the expression

• For every value of y, a function can only have 1 value of x

• y and f(x) or y and f(x, y) are interchangeable

PRACTICE PROBLEMS

Question 1 Given r = 6, b = 4, g = -9, what is (r + b - g) ( b + g)?


-- Answer -- -95

(6 + 4 - (-9)) * (4 + (-9)) = (10 + 9) * (-5) = 19 * -5 = -95



Question 2 For the equation, k = 7/5*j + 54, what is the value of j when k = 40?


-- Answer -- j = -10

40 = 7/5 * j + 54

(-14) * 5/7 = (7/5 * j) * 5/7

j = -10

ACT PRACTICE PROBLEMS

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