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EOC Review - Unit 3 Relations and Linear Functions

Total questions: 12

Worksheet time: 3600secs

Name
Class
Date
1.

MAFS.912.F-IF.2.6 - NO CALCULATOR

The graph shows the distance Leila is from a checkpoint after walking for 𝑥 hours during a walkathon. What is the average rate of change from 0 to 4 for the function?

(a)  

2.

MAFS.912.S-ID.3.7 - NO CALCULATOR

Based on last week’s sales, a store manager concluded that by pricing the store’s pack of 12 donuts at $8, the store will sell about 80 packs per day. Raising the price to $8.50 per pack of 12 donuts will cause sales to fall to about 76 packs per day. If a linear model based on this data is used to predict the daily sales of 𝒚 packs of when the price per pack is 𝒙 dollars, which statement is true about the slope of this linear model?

a)

If the price per pack increases by $8, the number of packs sold per day decreases by 1.

b)

If the price per pack increases by $4, then number of packs sold per day decrease by 1.

c)

If the price per pack increases by $1, the number of packs sold per day decreases by 4.

d)

If the price per pack increases by $1, the number of packs sold per day decreases by 8.

3.

MAFS.912.S-ID.3.7 - NO CALCULATOR

Victoria walks up to a claw machine with a pocket full of quarters. She spends them at a rate of two every minute until she runs out. If the rate of quarters Victoria has is graphed over time, which feature of the graph corresponds to the rate at which Victoria spends the quarters?

a)

the x-intercept

b)

the slope

c)

the y-intercept

d)

the minimum value

4.

MAFS.912.F-IF.3.7b - NO CALCULATOR

Which graph below shows the graph of an absolute value function that is decreasing over the interval (−∞, −5 ) and increasing over interval (−5, ∞)?

a)
b)
c)
d)
5.

MAFS.912.A-CED.1.2 - CALCULATOR ALLOWED

The table shows the amount in Yang’s saving account at the end of each month. Select all the equations that could represent the change in Yang’s savings account.

a)

𝑦 − 1145 = 45(1 - 𝑥)

b)

𝑦 + 650 = −90(𝑥 − 12)

c)

𝑦 + 325 = −45(𝑥 + 12)

d)

𝑦 − 650 = −45(𝑥 − 12)

e)

𝑦 − 325 = 90(𝑥 − 12)

6.

MAFS.912.A-REI.4.12 - CALCULATOR ALLOWED

Johannes needs to buy replacement team uniforms and is looking at different prices. He has a budget of $300. He needs 18 pairs of pants and 12 shirts. Let x represent the cost of each pair of pants, and y represent the cost of each shirt. Which graph correctly shows the cost of pants and shirts Johannes can buy, if not tax added?

a)
b)
c)
d)
7.

MAFS.912.F-IF.2.6 CALCULATOR ALLOWED

What is the average rate of change of the graph shown over the interval −5 ≤ 𝑥 ≤ 1?

a)

−13-\frac{1}{3}  

b)

-0.5

c)

13\frac{1}{3}  

d)

-1

8.

MAFS.912.F-IF.2.6 CALCULATOR ALLOWED

Max wants to fold a piece of cardboard into a box with a lid. The volume of the box can be represented by the function 𝑓(𝑥)=−3𝑥2+7𝑥+15𝑓(𝑥)=−3𝑥^2+7𝑥+15  , where 𝑥 is the height of the box, in cm. What is the average rate of change in the volume as the height changes from 0 to 2 cm?

(a)  

9.

MAFS.912.F-LE.1.1a CALCULATOR ALLOWED

Which is a true statement about the rates of change of the functions

𝑓(𝑥) = 3𝑥 and g(x)=3xg\left(x\right)=3^x   ?

a)

For every unit 𝑥 increases, both 𝑓(𝑥) and 𝑔(𝑥) triple in quantity.

b)

For every unit 𝑥 increases, both 𝑓(𝑥) and 𝑔(𝑥) increase by 3 units.

c)

For every unit 𝑥 increases, 𝑓(𝑥) triples in quantity and and 𝑔(𝑥) increases by 3 units.

d)

For every unit 𝑥 increases, 𝑓(𝑥) increases by 3 units and 𝑔(𝑥) triples in quantity.

10.

MAFS.912.F-LE.2.5 CALCULATOR ALLOWED

The members of the Drama Club sold their old costumes in a booth at the school craft fair. Their profit was the difference between the amount of money they made selling the costumes and the cost of the booth. The cost of the booth was $50 and each of the costumes was sold for the same price. After the members of the Drama Club has sold 9 costumes, they made a profit of $62.50. The function 𝒑 represents the Drama Club's profit as a function of 𝒄, the number of costumes they sold. What does the 𝒄-intercept of the function represent?

a)

The 𝒄-intercept represents a profit of $0 when 4 costumes are sold.

b)

The 𝒄-intercept represents a profit of $12.50 when 5 costumes are sold.

c)

The 𝒄-intercept represents a profit of $50 when no costumes are sold.

d)

The 𝒄-intercept represents a profit of $37.50 when 1 costume are sold.

11.

MAFS.912.F-LE.1.2 CALCULATOR ALLOWED

Which of these best represents the function shown in the table?

a)

f(x)=2(4x)f\left(x\right)=2\left(4^x\right)  

b)

f(x)=x+2f\left(x\right)=x+2  

c)

f(x)=6x+2f\left(x\right)=6x+2  

d)

f(x)=x5f\left(x\right)=x^5  

12.

MAFS.912.F-IF.1.3, F-LE.1.2, F-BF.1.1a - CALCULATOR ALLOWED

Linda is conditioning all summer to prepare for her high school’s varsity soccer team tryouts. She is incorporating walking planks into her daily training plan. She starts with five walking planks on the first day. Every day, she will complete four more walking planks than the day before. How many walking planks will Linda do on the 12th day?

(a)