Question

Q1. when 3b-4a is evaluated for a=0.5 and b=-0.333333333. what is the answer?

Q2. solution for equation
5(x+1)-3(3x-1)=15(x-2)

Q3. which is not equivalent to 4(2x-1)=3(x+1)-2
A. (2)
B. (-2)
C. (0)
D. (-3)


Q4. if a<0 and b<0 which of the following is not positive
A. ab
B. a+b
C. a÷b
D. a.a
E. a:a

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Answer 1

See below

Explanation:

Q1. when 3b-4a is evaluated for a=0.5 and b=-0.333333333. what is the answer?

`3b-4a, a=0.5 \text{ and } b=-0.333333...`

Once

`$-0.3333333... = -(1)/(3) \text{ and } 0.5=(1)/(2) $`

`$3\cdot \left(-(1)/(3)\right) - 4 \cdot (1)/(2) = -1 - 2 =\boxed{-3}$`

Q2. solution for equation

`5(x+1)-3(3x-1)=15(x-2)`

`5x+5-9x+3 = 15x-30`

`-4x+8 = 15x-30`

`38 = 19x`

`$x=(38)/(19) = \boxed{2}$`

Q3. which is not equivalent to
`4(2x-1)=3(x+1)-2`

Just try all the values.

None of them makes the equation equivalent.

`8x-4=3x+1-2`

`5x=5`

`\boxed{x=1}`

Q4. if a<0 and b<0 which of the following is not positive

B. a+b

`a<0 \implies \text{a is negative}`

`b<0 \implies \text{b is negative}`

`a \cdot b \implies \text{positive value}`

`$(a)/(b) \implies \text{positive number}$`

`a:b \text{ is just another notation for division}`

`a+b \implies \text{negative number}`