Linear equations
Style and Tone
Graphing linear equations
Syntax
100

solve for the value of x

7x + 10y = 60 

7x - 2y = 240

x = 30 

100

Review the underlined sentence:

You took my brand-new car without asking, drove it 800 miles, and scraped the entire front bumper? Yeah, you could say I’m extremely upset!

A. No Change

B. This makes me so happy!

C. Yeah, you could say I'm a little annoyed!

D. I've never been angrier in my life!

C. Yeah, you could say I'm a little annoyed!

100

What is the slope of the line represented by the equation 3x - 4y = 7 ?

0.75

100

Between 1872 and 1900, mongooses were introduced into most Caribbean islands. They were introduced in order to protect sugar cane fields from pit vipers.

Which choice most effectively combines the two sentences?

A. Between 1872 and 1900, mongooses were introduced into most Caribbean islands in order to protect sugar can fields from pit vipers.

B. Between 1872 and 1900, mongooses were introduced into most Caribbean islands; they were introduced to protect sugar cane fields from pit vipers.

A. Between 1872 and 1900, mongooses were introduced into most Caribbean islands in order to protect sugar can fields from pit vipers.

200

Solve for x

y = 2x

3x + y = 20

x = 4

200

I’ve been working on legal briefs all day. I’m so exhausted I could sleep for hours!

A. No change

B. don't think I can sleep right now!

C. won't be able to sleep for hours!

D. could sleep for years!

D. could sleep for years!

200

What is the slope of the line represented by the equation 2x-5y=9

0.4

200

Lars Kristofferson is the CEO of Kristoff Markets. He recently announced his plan to open a small chain of affordable health food stores.

Which choice most effectively combines the two sentences?

A. Lars Kristofferson is the CEO of Kristoff Markets; Kristofferson recently announced his plan to open a small chain of affordable health food stores.

B. Lars Krisofferson, CEO of Kristoff Markets, recently announced his plan to open a small chain affordable health food stores.

B. Lars Krisofferson, CEO of Kristoff Markets, recently announced his plan to open a small chain affordable health food stores.

300

Solve for y

4x - y = 8

y = 3x - 1

y = 20

300

Sunrises are, I admit, generally very majestic. But usually (if I have my way) anything that occurs before 8 a.m. is wasted on me. When the sun begins his incredible ascent, I prefer to be an inglorious huddle of sheets, crusted with sleep and willfully blind.

A. No change

B. glorious ascent, I prefer to be an inglorious

C. glorious ascent, I prefer to be a ragged

D. Stunning ascent, I prefer to be a pitiful

B. glorious ascent, I prefer to be an inglorious

300

The equation 8x-6y=1 is graphed in the xy plane. What is the slope of the line?

1.33

300

Archaeologists have discovered that some Vikings deliberately carved grooves into their teeth. The reasons behind this dental decision remain unclear.

A) Archaeologists have discovered that some Vikings deliberately carved grooves into their teeth; the reasoning behind the decision to make this adjustment to their teeth is unclear.

B) Archaeologists have discovered that some Vikings deliberately carved grooves into their teeth, but the reasons behind this dental decisions remain unclear.

B) Archaeologists have discovered that some Vikings deliberately carved grooves into their teeth, but the reasons behind this dental decisions remain unclear.

400

Solve the system of equations

y - 5 = x

x + 2y = 22

(4,9)

400

My friend Joseph, we are told, has committed the oversight of forgetting to bring his homework to class. This demonstrates a multitude of failings, personal and academic, which will forever bar him from the ranks of human society.

A. No change 

B. Committed to grave crime 

C. made the inconvenient error

D. Unfortunately made the mistake

B. committed the grave crime

400

What is the slope of the line represented by the equation x-3y=10?

0.333

400

Urban environments and metropolitan areas are making gradual advances into natural wildlife habitats. These gradual advances have negative consequences: some animals are perishing from habitat loss.

A) Urban environment and metropolitan areas are making gradual advances into natural wildlife habitats; these advances have negative consequences: some animals are perishing from habitat loss.

B)  Urban environment and metropolitan areas are making gradual advances into natural wildlife habitats, resulting in negative consequences: some animals are perishing from habitat loss.

B)  Urban environment and metropolitan areas are making gradual advances into natural wildlife habitats, resulting in negative consequences: some animals are perishing from habitat loss.

500

Solve for x

y = -3x

4x - y = 14

x = 2

500

he did not hate many things, although she disliked the very act of hating things.

A. No change 

B. although she hated emotion 

C. except for that very emotion 

D. except for hate itself


D. except for hate itself

500

The equation 2y-7x=5 is graphed in the xy-plane. What is the slope of the line?

3.5

500

Fans were very excited to see the final installment of the Royal Battleground trilogy. Hundreds of eager viewers lined up outside the movie theater days in advance.

A) Fans were very excited to see the final installment of the Royal Battleground trilogy; in fact, these fans were so excited that they lined up outside the movie theater days in advance.

B) Fans were very excited to see the final installment of the Royal Battleground trilogy that hundreds of eager viewers lined up outside the movie theater days in advance.

B) Fans were very excited to see the final installment of the Royal Battleground trilogy that hundreds of eager viewers lined up outside the movie theater days in advance.

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