Question

evaluate each expression when ( x=\frac{3}{4} ) and ( y = 2.5 ). (example 1)

1. ( 8x )

evaluate each expression when ( a=\frac{2}{3}, b=\frac{4}{5} ), and ( c = 6 ). write in simplest form. (example 2)

1. ( a + b )
2. ( c - b )
3. ( b - a )

evaluate each expression when ( a = 4, b = 3 ), and ( c=\frac{1}{3} ). (example 3)

1. ( (3a + 18c)+b^{2} )
2. ( (a^{2}+12c)+(7b - 1) )
3. ( (2b + 3a)(c^{2}) )
4. the expression ( \frac{1}{2}a(b + c) ) can be used to find the area of the trapezoid. what is the area of the trapezoid when ( a = 5.5, b = 5 ), and ( c = 7.2 )? (example 4)
5. the expression ( \frac{1}{2}a(b + c) ) can be used to find the area of the trapezoid. what is the area of the trapezoid when ( a = 4.4 ), ( b = 8 ), and ( c = 3 )? (example 4)
6. the perimeter of a rectangle can be found using the expression ( 2ell+2w ), where ( ell ) represents the length and ( w ) represents the width. find the perimeter when ( ell = 6.2 ) units and ( w = 3.5 ) units.

test practice

1. equation editor what is the value of the expression when ( x = 7, y=\frac{1}{2} ), and ( z = 8 )? (example 3)

( (24y + 2x)+(\frac{1}{4}z) )

Explanation:

Step1: Substitute the values

Substitute \(x = 7\), \(y=\frac{1}{2}\), and \(z = 8\) into the expression \((24y + 2x)+(\frac{1}{4}z)\).

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Step2: Calculate each term

Calculate \(24\times\frac{1}{2}=12\), \(2\times7 = 14\), and \(\frac{1}{4}\times8=2\).

$$ 12 + 14+2 $$

Step3: Sum the terms

$$ 12+14 + 2=28 $$

Answer:

\(28\)