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Quiz 2.1 - Creating Linear Eqn/Ineq

Last updated almost 4 years ago

12 questions

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Question 1

1.

To rent an apartment, Tanner must pay a $150 security deposit and $350 each month. Write an equation to model the situation, with x as the number of months and y as the total cost of renting the apartment.

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

Question 2

2.

Tanner works in sales. Each month, Tanner makes $200, plus a 10% commission of his total sales. Write an equation to model the situation, with x as his sales for the month and y as his earnings for the month.

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

Question 3

3.

Tanner sells two kinds of packages: a deluxe package, priced at $200, and a value package, priced at $100. His total sales from both packages was $700. Write an equation to model the situation, with x as his number of deluxe sales and y as his number of value sales.

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

Question 4

4.

Tanner's monthly rent is $350, and he makes $200 each month plus his commission. Each deluxe sale earns him $20, and each value sale earns him $10. Write an inequality to represent how he can make at least enough to pay rent, with x as his number of deluxe sales and y as his number of value sales.

Write the inequality in standard form, (Ax+By ? C, where ? is an inequality symbol), no spaces or "$". Be sure to move all constants to the right and simplify.

Question 5

5.

A triathlon consists of swimming, biking, and running. There are different sizes for the event, but usually contestants run about 7 times the distance that they swim. An Olympic triathlon is 51.5 km long. Write an equation, with x as the swimming distance, and y as the biking distance, to represent the situation.

(Hint: be careful to include all three events, then simplify like terms!)

Write the equation in standard form (Ax+By=C), with no spaces.

Question 6

6.

During the swimming and biking portions, Natasha has covered 41.5 km. She runs at 16 km/h. Write an equation to model the situation, where y is her total distance covered, and x is her time spent running, in hours.

Write the equation in slope-intercept form, no spaces.

Question 7

7.

Humans require about 1800 calories a day. Every hour spent swimming requires 500 calories. Write an equation that represents the total calories, y, an athlete should eat on a day that they spent x hours swimming.

Write the equation in slope-intercept form, no spaces.

Question 8

8.

Michael Phelps has to eat at least 8000 calories each day to sustain his workout schedule. A whole pizza has about 2000 calories. A large burger is about 500 calories. Write an inequality to model the situation, with x as the number of pizzas, and y as the number of burgers.

Write the inequality in standard form, (Ax+By ? C, where ? is an inequality symbol), no spaces or "$".

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Question 9

9.

Write the equation that represents the line to the left.
Use the points (0, -3) and (5, 1).

Write the equation in slope-intercept form, with fractions rather than decimals, no spaces.

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Question 10

10.

Write the equation that represents the line to the left.
Use the points (0, 2) and (-2, -1)

Write the equation in slope-intercept form, with fractions rather than decimals, no spaces.

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Question 11

11.

Write the inequality that represents the line to the left.
Use the points (0, 5) and (1, 2)

Write the inequality in slope-intercept form, with fractions rather than decimals, no spaces.

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Question 12

12.

Write the inequality that represents the line to the left.
Use the points (0, -1) and (7, 5)

Write the inequality in slope-intercept form, with fractions rather than decimals, no spaces.