Module 5 Practice Quiz 4 - Lessons 5.1-5.3

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5.1 — Recognizing Linear Functions

Question 1 of 20

For y = x³, y = 1, 8, 27, 64, 125 when x = 1, 2, 3, 4, 5. What is the change in y from x = 1 to x = 2?

Answer:

5.1 — Standard Form Ax + By = C

Question 2 of 20

Is x/2 + y/4 = 3/2 linear?

Yes — multiply by 4 to get 2x + y = 6 (standard form) No — fractions are not allowed No — y is divided by a number Only if x is positive

Question 3 of 20

Solve 6x + y = 12 for y. What is the x-value where y = 0?

Answer:

Question 4 of 20

Which equation is in standard form Ax + By = C?

x − y = 15z x² + y = 11 5x + 24y = 544 3xy + y² = 4

5.1 — Discrete vs. Continuous & Modeling

Question 5 of 20

Hans pays $5 for each video game he buys: f(x) = 5x. What is the domain?

All real numbers x ≥ 0 (any number, including fractions) {0, 1, 2, 3, …} {0, 5, 10, 15, …}

Question 6 of 20

Particle velocity follows −4x + 3y = 15 (x = time, y = velocity in km/hr). At what time x does the particle reach 30 km/hr?

Answer:

5.2 — Finding Intercepts

Question 7 of 20

Find the y-intercept of −5x + 6y = 60.

Answer:

Question 8 of 20

Find the y-intercept of ³⁄₅x + ¹⁄₂y = 30.

Answer:

5.2 — Interpreting Intercepts

Question 9 of 20

Miners ascend from underground to the surface. What is the y-intercept of the graph?

Answer:

Question 10 of 20

A lake has 350 trout and loses 14 per year: f(x) = 350 − 14x. After how many years would there be no trout?

Answer:

Question 11 of 20

Kathryn’s treadmill counts down a 2-mile walk over 30 minutes: f(x) = 2 − ¹⁄₁₅x. What is the x-intercept?

Answer:

5.2 — Graphing with Intercepts

Question 12 of 20

To graph 3y = −5x − 30 using intercepts, find the y-intercept.

Answer:

5.3 — Rate of Change & Slope

Question 13 of 20

Postage table — Years after 2000 (x): 3, 4, 6, 8, 13 | Cost in cents (y): 37, 37, 39, 42, 46.
What is the rate of change from 2008 to 2013?

Answer:

Question 14 of 20

Find the slope of the line.

Answer:

Question 15 of 20

Use the slope formula to find the slope through (−1, 9) and (2, −5). (A fraction like −14/3 is fine.)

Answer:

Question 16 of 20

Describe the slope of the line through (2, 6) and (11, −3).

Positive Negative Zero Undefined

Question 17 of 20

A bank balance graph shows (3, 860) and (8, 585) (months, dollars). What is the slope?

Answer:

Question 18 of 20

An electric bill is $8 for 200 kWh and $34 for 400 kWh. What is the rate of change (dollars per kWh)?

Answer:

Question 19 of 20

ISP costs at 100, 200, 400 MB — A: $54, $74, $94 · B: $42, $57, $87 · C: $60, $72, $96. Which ISPs have a constant usage fee (same rate on both intervals)?

B and C A only All three None

Question 20 of 20

A ladder’s bottom is 11 ft from a building and its top is 19 ft up the wall. What is the slope of the ladder? (Round to the nearest hundredth.)

Answer:

Practice Quiz 4 of 4