Question

question & answer

1. what is the value of the expression 6·2 − (t + 3) if t = 5?

f. 4

1. what is the value of 4 − 10(5 − w) + 4w·2 when w = 3.

g. -8

1. evaluate 6p + \\(\frac{8}{h}\\) − 7 for p = 4 and h = 2.

h. 21

1. find the value of 7 − (y − 11)² + 6v when v = −9 and y = 4.

c. -96

1. find the value of 7 − y² − 11² + 6v when v = −9 and y = 4.

b. -184

1. find the value of

Explanation:

Step1: Substitute $t=5$

$6 \cdot 2 - (5 + 3)$

Step2: Simplify parentheses and multiply

$12 - 8$

Step3: Subtract to get result

$12-8=4$

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Step1: Substitute $w=3$

$4 - 10(5 - 3) + 4(3) \cdot 2$

Step2: Simplify parentheses

$4 - 10(2) + 12 \cdot 2$

Step3: Perform multiplications

$4 - 20 + 24$

Step4: Add/subtract left to right

$4-20=-16;\ -16+24=8$

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Step1: Substitute $p=4, H=2$

$6(4) + \frac{8}{2} - 7$

Step2: Multiply and divide

$24 + 4 - 7$

Step3: Add/subtract left to right

$24+4=28;\ 28-7=21$

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Step1: Substitute $V=-9, y=4$

$7 - (4 - 11)^2 + 6(-9)$

Step2: Simplify parentheses

$7 - (-7)^2 + (-54)$

Step3: Calculate exponent

$7 - 49 - 54$

Step4: Add/subtract left to right

$7-49=-42;\ -42-54=-96$

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Step1: Substitute $V=-9, y=4$

$7 - 4^2 - 11^2 + 6(-9)$

Step2: Calculate exponents

$7 - 16 - 121 + (-54)$

Step3: Add/subtract left to right

$7-16=-9;\ -9-121=-130;\ -130-54=-184$

Answer:

1. $4$
2. $8$
3. $21$
4. $-96$
5. $-184$