A. Evaluate the following algebraic expressions if m = -2, n = 2, p = 3 and q = 4.

CHOICES
a. 5
b. 27
c. 6
d. 65
e. -12

1. mnp
2. 3n + 7p
3. 5(n + p - q)
4. 3m + 2(2q - n)
5. 5p² + 10n

Question

Reavenmangulabnango Reavenmangulabnango

Math

Answered

A. Evaluate the following algebraic expressions if m = -2, n = 2, p = 3 and q = 4.

CHOICES
a. 5
b. 27
c. 6
d. 65
e. -12

1. mnp
2. 3n + 7p
3. 5(n + p - q)
4. 3m + 2(2q - n)
5. 5p² + 10n

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Lili131go Lili131go · Answer 1

EVALUATING ALGEBRAIC EXPRESSIONS

[tex]\sf\color{green}{───────────────────────────}[/tex]

[tex]\Large\underline\mathrm\color{black}{DIRECTION:}[/tex]

Evaluate the following algebraic expressions if

m = -2, n = 2, p = 3 and q = 4.

[tex]\Large\underline\mathrm\color{black}{GIVEN:}[/tex]

1. mnp

2. 3n + 7p

3. 5(n + p - q)

4. 3m + 2(2q - n)

5. 5p² + 10n

[tex]\Large\underline\mathrm\color{black}{CHOICES:}[/tex].

a. 5

b. 27

c. 6

d. 65

e. -12

[tex]\Large\underline\mathrm\color{black}{ANSWER:}[/tex]

1. [tex]\tt\color{green}{e\:-12}[/tex]
2. [tex]\tt\color{green}{b.\:27}[/tex]
3. [tex]\tt\color{green}{a.\:5}[/tex]
4. [tex]\tt\color{green}{c.\:6}[/tex]
5. [tex]\tt\color{green}{d.\:65}[/tex]

[tex]\Large\underline\mathrm\color{black}{SOLUTION:}[/tex]

1. [tex]\sf\underline\color{purple}{mnp}[/tex]

[tex] \tt\: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: mnp[/tex]

[tex] \tt\: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ( - 2)(2)(3)[/tex]

[tex] \: \: \: \:\:\: \:\: \: \: \: \: \: \: \: \: \:\: \: \: \: \:\: \: \: \: \:\: \: \: \: \: \:\tt\underline\color{green}{\boxed{{ = - 12}}}[/tex]

2. [tex]\sf\underline\color{purple}{3n + 7p}[/tex]

[tex] \tt\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 3n + 7p[/tex]

[tex]\tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 3(2) + 7(3)[/tex]

[tex]\tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 6 + 21[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\tt\underline\color{green}{\boxed{{= 27}}}[/tex]

3. [tex]\sf\underline\color{purple}{5(n + p - q)}[/tex]

[tex]\tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 5(n + p - q)[/tex]

[tex]\tt \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: 5( \: (2) + (3) - (4) \: )[/tex]

[tex]\tt\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 5(1)[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt\underline\color{green}{\boxed{{= 5}}}[/tex]

4. [tex]\sf\underline\color{purple}{3m + 2(2q - n)}[/tex]

[tex]\tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 3m + 2(2q - n)[/tex]

[tex]\tt \: \: \: \: \: \: \: \: \: \: \: \: \: 3 \times ( - 2) + 2 \times (2 \times 4 - 2)[/tex]

[tex]\tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: - 3 \times 2 + 2 \times (2 \times 4 - 2)[/tex]

[tex]\tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - 6 + 2 \times (8 - 2)[/tex]

[tex]\tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - 6 + 2 \times 6[/tex]

[tex]\tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - 6 + 12[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt\underline\color{green}{\boxed {{= 6}}}[/tex]

5. [tex]\sf\underline\color{purple}{5 {p}^{2} + 10n}[/tex]

[tex]\tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 5 {p}^{2} + 10n[/tex]

[tex]\tt \: \: \: \: \: \: \: \: \: \: \: \ \: \: \: \: \: \: \: \: \: \: \: \: \: 5(3) ^{2} + 10(2)[/tex]

[tex]\tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 5(9) + \: 20[/tex]

[tex]\tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 45 + 20[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt\underline\color{green}{\boxed{{ = 65}}}[/tex]

[tex]\sf\color{green}{───────────────────────────}[/tex]

[tex]\sf\color{black}{hope\space it\space helps:)} [/tex] [tex]\sf\color{black}{\#CarryOnLearning}[/tex]

[tex]\begin{gathered}\tiny\boxed{\begin{array} {}\red{\bowtie} \:\:\:\:\:\:\: \red{\bowtie}\\ \fcolorbox{color}{skyblue}{\tt{}> < }\\ \:\smile\end{array}}\end{gathered}[/tex][tex]\small\color{pink}{\mathtt{{Study\:Well!}}}[/tex]