Resources

Resources

Solve linear equations with variables on both sides

Nereo and Azeneth start recording video at the same time. Nereo's phone starts with

1,000

megabytes (MB) of free space and uses

7\text{MB}

of space per second of video.

\newline

Azeneth's phone has

1,255\text{MB}

of free space and uses

10\text{MB}

of space per second of video.

\newline

How much free space will they have when they first have the same amount of space left?

\newline

\square

\text{MB}

After finishing the prep work, Gilberta and Mar\u

00

eda start removing wallpaper at the same time. Gilberta removes the paper at a constant rate of

4.3\,\text{m}^2

per hour, while Mar\u

00

3.4\,\text{m}^2

of paper per hour. Gilberta's room starts with

35\,\text{m}^2

of paper, and Mar\u

00

eda's room starts with

30.5\,\text{m}^2

\newline

t

represent the time, in hours, since Gilberta and Mar\u

00

eda start removing the wallpaper.

\newline

Complete the inequality to represent the times when Gilberta has more wallpaper left in her room than Mar\u

00

eda has in hers.

\newline

t \,\text{select inequality symbol}\, \text{hours}

Nayeli is proofreading a

75

page manuscript. Fil\u

00

9

mon is line editing a

40

page manuscript.

\newline

Since proofreading is faster, Nayeli completes

11

pages an hour, but Fil\u

00

9

mon only completes

4

\newline

When Nayeli and Fil\u

00

9

mon have the same number of pages left, how many pages will that be?

\newline

Two hot air balloons, one purple and one gold, took off at the same time. The purple balloon started from sea level and the gold balloon started from a hill

15

meters above sea level.

\newline

The gold balloon began climbing at a constant rate of

2

meters per second. The purple balloon began climbing at

2.5

meters per second.

\newline

After how many seconds were the balloons at the same altitude?

\newline

...