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Unit 2 Test

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Last updated almost 4 years ago
23 questions
Note from the author:
Directions:
0) Make sure you've turned in your study guide.
On your desk - paper, pencil, calculator
On your browser - this test, Desmos links below.
In your backpack - phones, electronics, notes.
1) Take the test. If you're struggling, come back to the directions and formulae. Give it your best shot, but keep moving through the questions.
2) Some questions allow you to show your work. For these, just type what steps you took to get your answer. I may be able to give you partial credit if some of your steps are correct.
3) Check your answers. Pay careful attention that you gave what the question was asking for. You can come by my desk and ask for your score before you submit.
4) Submit the test.
5) Close your Chromebook. Read, draw, or work on paper schoolwork quietly.

Desmos - Graphing
Desmos - Scientific
Directions:
0) Make sure you've turned in your study guide.
On your desk - paper, pencil, calculator
On your browser - this test, Desmos links below.
In your backpack - phones, electronics, notes.
1) Take the test. If you're struggling, come back to the directions and formulae. Give it your best shot, but keep moving through the questions.
2) Some questions allow you to show your work. For these, just type what steps you took to get your answer. I may be able to give you partial credit if some of your steps are correct.
3) Check your answers. Pay careful attention that you gave what the question was asking for. You can come by my desk and ask for your score before you submit.
4) Submit the test.
5) Close your Chromebook. Read, draw, or work on paper schoolwork quietly.

Desmos - Graphing
Desmos - Scientific
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Question 1
1.

Write the equation for the line to the left in slope-intercept form.

Use the points (0, -3) and (5, 1)

Use fractions rather than decimals. No spaces.

1
Question 2
2.

Write the equation for the line to the left in slope-intercept form. Use fractions rather than decimals. No spaces.

1
Question 3
3.

Write the inequality for the line to the left in slope-intercept form.

Use the points (0, 5) and (1, 1)

Use fractions rather than decimals, no spaces.

1
Question 4
4.

Write the inequality for the line to the left in slope-intercept form. Use fractions rather than decimals. No spaces.

Question 5
5.
Consider the equation: 4x+5y = -20

The slope of the line is __________ , the x-intercept of the line is __________ , and the y-intercept of the line is __________ .

For the slope, enter a number or a fraction.
For intercepts, use (x, y) format, with exactly one space after the comma.
Question 6
6.
Consider the equation: 3x - y = 12.

The slope of the line is __________ , the x-intercept of the line is __________ , and the y-intercept of the line is __________ .

For the slope, enter a number.
For intercepts, use (x, y) format, with exactly one space after the comma.
Question 7
7.

Match the descriptions with the symbols.

  • less than
  • dashed line shaded below
  • solid line shaded below
  • solid line shaded above
  • dashed line shaded above
  • greater than
  • less than or equal to
  • greater than or equal to
  • >
  • >
  • <
  • <
Question 8
8.

Bailey has 6 gallons of gas in his tank. Every mile, he loses 0.03 gallons of gas. Write an equation to model the situation, with x as the number of miles he drives and y as the gas left in his tank.

Write the equation in slope-intercept form, with the y on the left side of the equation. No spaces.

Question 9
9.

Claire starts a savings account with $50. Every week, she puts in $2. Write an equation to model the situation, with x as the # of weeks and y as the total value of the account.

Write the equation in slope-intercept form, with the y on the left side of the equation. No spaces or "$".

Question 10
10.

Benji bought some shirts and shorts for a total of $35. Shirts cost him $7 and shorts cost him $4. Write an equation to model the situation, with x as the # of shirts he bought and y as the number of shorts he bought.

Write the equation in standard form (Ax+By=C). No spaces or $.

Question 11
11.

Solve the system.

x+4y = 15
2x-y = -15

Use (x, y) format, with exactly one space after the comma. Use fractions, not decimals.

Question 12
12.

Solve the system.

2x-y = 7
x - y = 10

Use (x, y) format, with exactly one space after the comma. Use fractions, not decimals.

Harry and Turner are having a race. Harry gets a six-foot head start, because he only runs 2 ft/s. Turner has no head start and runs 4 ft/s.

Let x be the time spent running, and y be the position of each boy (distance from starting line).
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Question 13
13.

Write an equation to model Harry's distance from the starting line.

Use slope-intercept form.

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Question 15
15.

At what time and position will Turner pass Harry?

You will need both equations.

Use (x, y) format, with exactly one space after the comma.

Over the summer, Sarah works as a lifeguard and as a babysitter. One week, she worked 4 hours lifeguarding and 3 hours babysitting and earned $79. The next week, she worked 9 hours lifeguarding and 1 hour babysitting and earned $120.25.

Let x be her wages for lifeguarding ($/hr) and y be her wages for babysitting ($/hr)
1
Question 16
16.

Write an equation to represent her earnings the first week.
Use standard form, with numbers as seen in the problem, no "$" or spaces.

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Question 18
18.

How much does the make at each job (per hour)?

You will need both equations.

Use (x, y) format, with one space after the comma. Round the numbers to two decimals, no "$".

Question 19
19.

Which point represents a solution to the following system of inequalities?

5x-2y > -14
x < -1

To save money for prom, Tom is going to walk his neighbor's dog for $6 per hour and wash cars for $7.50 an hour. His mom said he can work no more than 15 hours to ensure he keeps up with his homework. Prom costs $75 overall.

Let x be the hours walking the dog and y be the hours washing cars.
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Oscar sells hot cocoa and coffee. Each cocoa sold earns him $1.25, and each coffee sold earns him $2.40. He wants $40 in sales. He only has enough cocoa in stock to make 15 hot cocoas.

Let x be the number of cocoas sold and y be the number of coffees sold.
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Question 14
14.

What is the equation for Turner's distance from the start?

Question 17
17.

Which equation represents her earnings the second week?

Question 20
20.

Which system of inequalities best suits the situation?

Question 21
21.

Which of the following are solutions to the scenario?

Check all that apply (3).

Question 22
22.

Which system of inequalities best suits the situation?

Question 23
23.

Which of the following are solutions to the scenario?

Check all that apply (3).