Unit 3 FSQ Review

• ​Evaluating Functions

• Literal Equations

• Rearranging Formulas

• Linear Functions

​Unit 3 - FSQ Review

Multiple Choice

1.) Given the equation 𝑺𝑨 = 𝟐𝑩 + 𝑷𝒉, solve for 𝒉.

• $$h=\frac{SA}{P-2B}$$

• $$h=\frac{SA+2B}{P}$$

• $$h=\frac{SA}{P+2B}$$

• $$h=\frac{SA-2B}{P}$$

Fill in the Blanks

2.) Given the function 𝒈(𝒙) = 𝟒𝒙² + 𝟕𝒙 − 𝟏𝟑, find the value of 𝒈(−𝟓).

Multiple Choice

3.) The table shows the average price, in dollars, of a Miami Heat basketball ticket between 2015 and 2023.

The equation 𝑦 = 3.1𝑥 + 60.6 models this relationship, where 𝑥 is the year since 2015 and 𝑦 is the average ticket price. Use the model to predict the ticket price for a Miami Heat basketball game in 2028.

• $92.60

• $98.25

• $100.90

• $109.65

Categorize

Options (4)

$$y=2x+\frac{1}{3}$$  

$$5x+4y=8$$  

$$4x+5y=15$$  

$$y=-\frac{4}{5}x-5$$  

4.) Organize these options into the right categories

has a slope of -4/5

has a y-int of 1/3

has a y-int of 2

Multiple Choice

5.) Santiago rents out his RV and deposits the same amount of rental income into his investment account each week. Consider the graph below, where the line shown on the graph represents the amount of money (in thousands of dollars), y, in Santiago’s investment account, after the number of weeks, x.

Which equation correctly represents the amount of money in Santiago’s investment account after 𝑥 weeks?

• −500𝑥 + 𝑦 = 2500

• −2500𝑥 + 𝑦 = 500

• 500𝑥 + 𝑦 = 2500

• 2500𝑥 + 𝑦 = 500

Multiple Choice

6.) The formula for the potential energy of an object is given by the equation below, where 𝒎 is the mass of the object, 𝒈 is the acceleration due to gravity, and 𝒉 is the height.

𝑃 = 𝑚𝑔ℎ

Solve the equation for h, the height of the object.

• $$\frac{mg}{p}=h$$

• $$p-mg=h$$

• $$\frac{p}{mg}=h$$

• $$pmg=h$$

Multiple Choice

7.) Jada wants to buy a used boat that costs $𝟑𝟓𝟎𝟎. She has already saved $𝟏𝟓𝟎𝟎 and makes $𝟖𝟎 a week as a basketball referee. Which equation can be used to find the number of weeks, 𝑤, she must work until she has enough to purchase the boat.

• $$80w-1500=3500$$

• $$1500w-80=3500$$

• $$80w+1500=3500$$

• $$1500w+80=3500$$

Fill in the Blanks

8.) Jada wants to buy a used boat that costs $𝟑𝟓𝟎𝟎. She has already saved $𝟏𝟓𝟎𝟎 and makes $𝟖𝟎 a week as a basketball referee. Using the equation $80w+1500=3500$ , it will take Jada how many weeks to purchase a boat?

Multiple Choice

9.) Khalil is opening a sports restaurant in his hometown, and needs to buy a lot of televisions to hang up around the restaurant. The flat delivery charge is $𝟐𝟎𝟎 and each television costs $𝟕𝟓𝟎. He is also purchasing a wall mount for each television, which costs $𝟖𝟓 each. If Kahlil spends a total of $𝟕,𝟐𝟔𝟓, which equation can be used to determine how many televisions (𝒕) Khalil orders?

• 𝑡(85 + 200) + 750 = 7265

• 𝑡(200 + 750) + 85 = 7265

• 𝑡(750 + 85) + 200 = 7265

• 𝑡(200 + 85 + 750) = 7265

Fill in the Blanks

10.) Find f(3).

Fill in the Blanks

11.) Find g(-4).

Multiple Choice

12.) Write the equation in point-slope form for the line with the given slope and point.

(2, 7); m = 4

• y + 2 = 4(x + 7)

• y - 7 = 4(x - 2)

• y - 2 = 4(x - 7)

• y + 7 = 4(x + 2)

Multiple Choice

13.) Convert the following equation into slope-intercept form:

y + 2 = −2(x − 4)

• y = -2x + 6
• y = -2x - 6
• y = 2x - 6
• y = 2x + 6