set 8 evaluate algebraic expressions\nevaluate each expression. show your work.\n1 8x + 4 when x = 5\n2 9(r…

set 8 evaluate algebraic expressions\nevaluate each expression. show your work.\n1 8x + 4 when x = 5\n2 9(r + 2s) when r = 3 and s = 2\n3 m - \\frac{7}{n} when m = 9 and n = 3\n4 9a - 10b when a = \\frac{3}{4} and b = \\frac{2}{3}\n5 2x + 6(y + z) when x = 4, y = 1, and z + 5\n6 (p - q) ÷ 4 when p = 15 and q = 3

set 8 evaluate algebraic expressions\nevaluate each expression. show your work.\n1 8x + 4 when x = 5\n2 9(r + 2s) when r = 3 and s = 2\n3 m - \\frac{7}{n} when m = 9 and n = 3\n4 9a - 10b when a = \\frac{3}{4} and b = \\frac{2}{3}\n5 2x + 6(y + z) when x = 4, y = 1, and z + 5\n6 (p - q) ÷ 4 when p = 15 and q = 3

Answer

Explanation:

Step1: Substitute (x = 5) into (8x+4)

[8\times5 + 4]

Step2: Calculate (8\times5)

[40+4]

Step3: Calculate the sum

[44]

Step1: Substitute (r = 3) and (s = 2) into (9(r + 2s))

[9(3+2\times2)]

Step2: Calculate (2\times2) inside the parentheses

[9(3 + 4)]

Step3: Calculate (3+4) inside the parentheses

[9\times7]

Step4: Calculate the product

[63]

Step1: Substitute (m = 9) and (n = 3) into (m-\frac{7}{n})

[9-\frac{7}{3}]

Step2: Convert (9) to (\frac{27}{3})

[\frac{27}{3}-\frac{7}{3}]

Step3: Calculate the difference

[\frac{27 - 7}{3}=\frac{20}{3}=6\frac{2}{3}]

Step1: Substitute (a=\frac{3}{4}) and (b = \frac{2}{3}) into (9a-10b)

[9\times\frac{3}{4}-10\times\frac{2}{3}]

Step2: Calculate (9\times\frac{3}{4}=\frac{27}{4}) and (10\times\frac{2}{3}=\frac{20}{3})

[\frac{27}{4}-\frac{20}{3}]

Step3: Find a common denominator ((12))

[\frac{27\times3}{4\times3}-\frac{20\times4}{3\times4}=\frac{81}{12}-\frac{80}{12}]

Step4: Calculate the difference

[\frac{81 - 80}{12}=\frac{1}{12}]

Step1: Substitute (x = 4), (y = 1), and (z = 5) into (2x+6(y + z))

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