Evaluate Algebraic Expressions Problems

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Question 1 of 5

1. Question
Find the velocity $(v)$ $(v)$ using the formula $v = u + a t$ $v=u+at$ , given the following values:

$u = 45$ $u=45$

$a = 2$ $a=2$

$t = 3$ $t=3$
- $v$ $\text(v)$ = (51)
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Order of Operations (PEMDAS)

P $=$ $=$ Parentheses
E $=$ $=$ Exponents
M/D $=$ $=$ Multiplication/Division
A/S $=$ $=$ Addition/Subtraction

Substitute the values to the given velocity formula, then solve.

$u$ $u$ $=$ $=$ $45$ $45$

$a$ $a$ $=$ $=$ $2$ $2$

$t$ $t$ $=$ $=$ $3$ $3$

$v$ $v$ $=$ $=$ $u$ $u$ $+$ $+$ $a$ $a$ $t$ $t$

$=$ $=$ $45$ $45$ $+$ $+$ $(2)$ $(2)$ $(3)$ $(3)$

$=$ $=$ $45 + 6$ $45+6$

$=$ $=$ $51$ $51$

$51$ $51$
Question 2 of 5

2. Question
Find the value of $M$ $M$ using the formula $M = \frac{10 N}{P + 5}$ $M=(10N)/(P+5)$ , given the following values:

$N = 9$ $N=9$

$P = 4$ $P=4$
- $M$ $\text(M)$ = (10)
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Order of Operations (PEMDAS)

P $=$ $=$ Parentheses
E $=$ $=$ Exponents
M/D $=$ $=$ Multiplication/Division
A/S $=$ $=$ Addition/Subtraction

Substitute the values to the given formula for $M$ $M$ , then solve.

$N$ $N$ $=$ $=$ $9$ $9$

$P$ $P$ $=$ $=$ $4$ $4$

$M$ $M$ $=$ $=$ $\frac{10\color{#9a00c7}{N}}{\color{#00880A}{P}+5}$

$=$ $=$ $\frac{10(\color{#9a00c7}{9})}{\color{#00880A}{4}+5}$

$=$ $=$ $\frac{90}{9}$ $90/9$

$=$ $=$ $10$ $10$

$10$ $10$
Question 3 of 5

3. Question
Find the area of the rectangle below given that: $A = L \times W$ $A=LxxW$
- (40) ${cm}^{2}$ $\text(cm)^2$
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Label the values in the rectangle.

$L$ $L$ (length) $=$ $=$ $10 cm$ $10 \text(cm)$ longer side

$W$ $W$ (width) $=$ $=$ $4 cm$ $4 \text(cm)$ shorter side

Substitute the values to the given formula, then solve.

Area $=$ $=$ $L$ $L$ $\times$ $xx$ $W$ $W$

$=$ $=$ $10$ $10$ $\times$ $xx$ $4$ $4$

$=$ $=$ $40 {cm}^{2}$ $40 \text(cm)^2$ $c m$ $cm$ is squared since we multiplied the values

$40 {cm}^{2}$ $40 \text(cm)^2$
Question 4 of 5

4. Question
Find the perimeter of the rectangle below given that: $P = 2 (L + W)$ $P=2(L+W)$
- (38) $cm$ $\text(cm)$
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Label the values in the rectangle.

$L$ $L$ (length) $=$ $=$ $12 cm$ $12 \text(cm)$ longer side

$W$ $W$ (width) $=$ $=$ $7 cm$ $7 \text(cm)$ shorter side

Substitute the values to the given formula, then solve.

$P$ $P$ $=$ $=$ $2 ($ $2($ $L$ $L$ $+$ $+$ $W$ $W$ $)$ $)$

$=$ $=$ $2 ($ $2($ $12$ $12$ $+$ $+$ $7$ $7$ $)$ $)$

$=$ $=$ $2 (19)$ $2(19)$

$=$ $=$ $38 cm$ $38 \text(cm)$

$38 cm$ $38 \text(cm)$

Question 5 of 5

Find the area of the rectangle below given that:

m = 5 c m

$m=5cm$

(80) ${cm}^{2}$ $\text(cm)^2$

$Area$ $\text(Area)$	$=$ $=$	width $\times$ $times$ length
	$=$ $=$	$m$ $m$ $\times$ $times$ $(2 m + 6)$ $(2m+6)$
	$=$ $=$	$5$ $5$ $\times (2 \times$ $xx(2xx$ $5$ $5$ $+ 6)$ $+6)$	Substitute $m = 5$ $m=5$
	$=$ $=$	$5 \times (10 + 6)$ $5xx(10+6)$
	$=$ $=$	$5 \times 16$ $5xx16$
	$=$ $=$	$80 {cm}^{2}$ $80 \text(cm)^2$

Evaluate Algebraic Expressions Problems

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Quiz summary

Information

1. Question

Hint

Fantastic!

Order of Operations (PEMDAS)

2. Question

Hint

Excellent!

Order of Operations (PEMDAS)

3. Question

Hint

Great Work!

4. Question

Hint

Correct!

5. Question

Hint

Well Done!

Area of a Rectangle

Quizzes

$u$ $u$	$=$ $=$	$45$ $45$
$a$ $a$	$=$ $=$	$2$ $2$
$t$ $t$	$=$ $=$	$3$ $3$

$v$ $v$	$=$ $=$	$u$ $u$ $+$ $+$ $a$ $a$ $t$ $t$
	$=$ $=$	$45$ $45$ $+$ $+$ $(2)$ $(2)$ $(3)$ $(3)$
	$=$ $=$	$45 + 6$ $45+6$
	$=$ $=$	$51$ $51$

$M$ $M$	$=$ $=$	$\frac{10\color{#9a00c7}{N}}{\color{#00880A}{P}+5}$
	$=$ $=$	$\frac{10(\color{#9a00c7}{9})}{\color{#00880A}{4}+5}$
	$=$ $=$	$\frac{90}{9}$ $90/9$
	$=$ $=$	$10$ $10$

$L$ $L$ (length)	$=$ $=$	$10 cm$ $10 \text(cm)$	longer side
$W$ $W$ (width)	$=$ $=$	$4 cm$ $4 \text(cm)$	shorter side

Area	$=$ $=$	$L$ $L$ $\times$ $xx$ $W$ $W$
	$=$ $=$	$10$ $10$ $\times$ $xx$ $4$ $4$
	$=$ $=$	$40 {cm}^{2}$ $40 \text(cm)^2$	$c m$ $cm$ is squared since we multiplied the values

$L$ $L$ (length)	$=$ $=$	$12 cm$ $12 \text(cm)$	longer side
$W$ $W$ (width)	$=$ $=$	$7 cm$ $7 \text(cm)$	shorter side

$P$ $P$	$=$ $=$	$2 ($ $2($ $L$ $L$ $+$ $+$ $W$ $W$ $)$ $)$
	$=$ $=$	$2 ($ $2($ $12$ $12$ $+$ $+$ $7$ $7$ $)$ $)$
	$=$ $=$	$2 (19)$ $2(19)$
	$=$ $=$	$38 cm$ $38 \text(cm)$

width	$=$ $=$	$m$ $m$	shorter side
length	$=$ $=$	$2 m + 6$ $2m+6$	longer side

$N$ $N$	$=$ $=$	$9$ $9$
$P$ $P$	$=$ $=$	$4$ $4$