Evaluate Algebraic Expressions – Problems

Years

Try VividMath Premium to unlock full access

Start Free Trial

Lets see your results!

Points

Score

Time

Retry Quiz

Answered
Review

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)
Hint

Help Video
Correct

Fantastic!
Incorrect
Need Text
Play
Current Time 0:00
/
Duration Time 0:00
Remaining Time -0:00
Stream TypeLIVE
Loaded: 0%
Progress: 0%
0:00
Fullscreen
Video Acceleration:
On
Off

00:00
Mute
Playback Rate
1x
2x
1.5x
1.25x
1x
0.75x
0.5x
Subtitles
subtitles off
Captions
captions off
English
Chapters
Chapters

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)
Hint

Help Video
Correct

Excellent!
Incorrect
Need Text
Play
Current Time 0:00
/
Duration Time 0:00
Remaining Time -0:00
Stream TypeLIVE
Loaded: 0%
Progress: 0%
0:00
Fullscreen
Video Acceleration:
On
Off

00:00
Mute
Playback Rate
1x
2x
1.5x
1.25x
1x
0.75x
0.5x
Subtitles
subtitles off
Captions
captions off
English
Chapters
Chapters

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

Help Video
Correct

Great Work!
Incorrect
Need Text
Play
Current Time 0:00
/
Duration Time 0:00
Remaining Time -0:00
Stream TypeLIVE
Loaded: 0%
Progress: 0%
0:00
Fullscreen
Video Acceleration:
On
Off

00:00
Mute
Playback Rate
1x
2x
1.5x
1.25x
1x
0.75x
0.5x
Subtitles
subtitles off
Captions
captions off
English
Chapters
Chapters

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) $cm$ $\text(cm)$
Hint

Help Video
Correct

Correct!
Incorrect
Need Text
Play
Current Time 0:00
/
Duration Time 0:00
Remaining Time -0:00
Stream TypeLIVE
Loaded: 0%
Progress: 0%
0:00
Fullscreen
Video Acceleration:
On
Off

00:00
Mute
Playback Rate
1x
2x
1.5x
1.25x
1x
0.75x
0.5x
Subtitles
subtitles off
Captions
captions off
English
Chapters
Chapters

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

Incorrect

Need Text

Play

Remaining Time -0:00

Stream TypeLIVE

Loaded: 0%

Progress: 0%

0:00

Fullscreen

00:00

Mute

Area of a Rectangle

Area =

$\text(Area )=$ $width$ $\text(width)$

\times

$times$ $length$ $\text(length)$

Label the values in the rectangle.

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

Substitute the values to the area formula, then solve given that $m = 5$ $m=5$ .

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

80 {cm}^{2}

$80 \text(cm)^2$

Evaluate Algebraic Expressions – Problems

Try VividMath Premium to unlock full access

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

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

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