Question

Which expressions are equal to 0 when x = –1? Check all that apply. StartFraction 4 (x plus 1) Over (4 x plus 5) EndFraction StartFraction 4 (x minus 1) Over (5 minus 4 x) EndFraction StartFraction 4 (x minus (minus 1)) Over (4 x plus 5) EndFraction StartFraction 4 (x plus (minus 1)) Over (4 x plus 5) EndFraction StartFraction 4 (x plus 1) Over (5 minus 4 x) EndFraction

Answer 1

Answer:

a,c,e

Step-by-step explanation:

Answer 2

Expressions are equal to 0 when x = –1 :

• 1. 4(x+1) : (4x+5)
• 3. 4(x-(-1) : (4x+5)
• 5. 4(x+1) : (5-4x)

Further explanation

Calculation operations include multiply, divide, add, substract, etc.

In mathematical operations we can use the order of operation / calculation according to the principle of PEMDAS

• P: Parentheses ⇒ ( )
• E: Exponents (powers, square roots, etc.)⇒√,²
• MD: Multiplication and Division ⇒ x and :
• AS: Addition and Subtraction ⇒ + and -

We use the principle of the number 0 which is, if the number 0 divided by any number will produce the number 0 as well

Let see the answer choices : (x = -1)

1. 4 (x plus 1) Over (4 x plus 5)

we translate this sentence into Algebraic expressions:

$\displaystyle 4(x+1)\div(4x+5)\\\\=4(-1+1)\div(4.-1+5)\\\\=4(0)\div(-4+5)\\\\=0\div1\\\\=0$

2. 4 (x minus 1) Over (5 minus 4 x)

we translate this sentence into Algebraic expressions:

$\displaystyle 4(x-1)\div(5-4x)\\\\=4(-1-1)\div(5-4.-1)\\\\=4(-2)\div(5+4)\\\\=-8\div9\\\\\neq 0$

3. 4 (x minus (minus 1)) Over (4 x plus 5)

we translate this sentence into Algebraic expressions:

$\displaystyle 4(x-(-1)\div(4x+5)\\\\=4(-1+1)\div(4.-1+5)\\\\=4(0)\div(-4+5)\\\\=0\div1\\\\=0$

4. 4 (x plus (minus 1)) Over (4 x plus 5)

we translate this sentence into Algebraic expressions:

$\displaystyle 4(x+(-1)\div(4x+5)\\\\=4(-1-1)\div(4.-1+5)\\\\=4(-2)\div(-4+5)\\\\=-8\div1\\\\\neq 0$

5. 4 (x plus 1) Over (5 minus 4 x)

we translate this sentence into Algebraic expressions:

$\displaystyle 4(x+1)\div(5-4x)\\\\=4(-1+1)\div(5-4(-1))\\\\=4(0)\div(5+4)\\\\=0\div9\\\\=0$

Learn more

The numerical coefficient

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Keywords :  an algebraic expression , equal to 0

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