section 1 - richmond county school system...the equation represents the amount of money itzel has...

Test Name: Midterm Algebra 1Test Id: 434162Date: 12/04/2018

Section 1

Look at the list of numbers below.1, 2, 5, 14, 41, Which rule can be used to find the next number in the pattern?

1.

A. multiply the previous number by 3 and subtract 1

B. add 2 to the previous number

C. multiply the previous number by 4 and subtract 2

D. add 9 to the previous number

Three functions are represented below. Function I

Function II

Function III

Which function has a graph with a positive -intercept?

2.

A. I, only

B. III, only

C. I and III, only

D. I, II, and III

What is the slope of a line represented by the equation y + 2 x = 4?

3.

A. -2

B.

C. 2

D. 4

A research scientist observed the growth of a colony of bacteria in the laboratory. The scientist'sobservations were recorded in the scatter plot shown below.

If the bacteria continue to multiply exponentially by the same factor, about how many bacteria willthere be after 12 hours?

4.

A. 4,000

B. 6,000

C. 8,000

D. 10,000

The first term of a sequence is . After this, the next term is found by multiplying the previous term by

. For an integer , which of the following correctly defines the terms of this sequence?

5.

A.

for

B.

for

C.

for

D.

for

Which of the following statements correctly characterizes arithmetic and geometric sequences?

6.

A. All arithmetic sequences are functions, and all geometric sequences are functions.

B. All arithmetic sequences are functions, but not all geometric sequences are functions.

C. Not all arithmetic sequences are functions, but all geometric sequences are functions.

D. Not all arithmetic sequences are functions, and not all geometric sequences are functions.

A physical therapist allows patients to schedule massages at her office. She used to charge a flatrate of $25.00 for all massages in addition to a $1.00 per minute charge. However, she recentlydecided to change the pricing of massages. The functions for the old and new cost of an m-minutemassage, c(m), are shown on the graph below.

How did the physical therapist change the price of a massage?

7.

A. She increased the flat rate.

B. She decreased the flat rate.

C. She increased the per minute charge.

D. She decreased the per minute charge.

If the domain of f( x) = 2 x + 1 is {-2 ≤ x ≤ 3}, which integer is NOT in the range?

8.

A. -4

B. -2

C. 0

D. 7

The system of linear equations below has one solution.

Which of the following has the same solution set as this system of equations?

9.

A.

B.

C.

D.

Reina has rocks in her collection. She decides to add rocks to her collection every week.

Which of the following sequences expresses the number of rocks in Reina's collection after

weeks?

10.

A.

B.

C.

D.

11. Which of the following represents the graph shown?

A.

B.

C.

D.

The graph of an equation is shown below.

Which of the following points must be a solution to the equation?

12.

A.

B.

C.

D.

The sequence can be defined by the formula .

Which of the following is a recursive definition of the formula?

13.

A.

B.

C.

D.

The graph of the equation passes through the points , , , and . What is the

value of in the equation ?

14.

A.

B.

C.

D.

Which of the following is the graph of an equation with as a solution?

15.

A.

B.

C.

D.

16. Lena made 32 ounces of a fruit drink mix using pineapple juice and grapefruit juice. Thenumber of ounces of pineapple juice in the fruit drink mix is 5 more than 2 times the number ofounces of grapefruit juice in the fruit drink mix. Which graph shows the number of ouncespineapple juice, x, and the number of ounces of grapefruit juice, y, in the fruit drink mix? Whatsystem of equations was used to create the graph?

A.

B.

C.

D.

17. The functions and are shown below. Find if and .

A.

B.

C.

D.

18. Kathy buys p pounds of grapes for $2.19 per pound and one pound of kiwi for $3.09 per pound.What does the expression 2.19 p - 3.09p represent?

A. The total cost of the grapes and the kiwi

B. the difference between the cost of the grapes and the cost of the kiwi

C. the number of grapes and kiwi bought

D. the difference in the amount of grapes and the amount of kiwi

Jordan times his run on a treadmill. He records the time to the nearest minute and the distance of hisrun to the nearest foot. His measurements are shown below.

Distance = 12600 feetTime = 23 minutes

What was Jordan's speed reported to the appropriate level of precision?

19.

A. 500 feet/min

B. 547.8 feet/min

C. 550 feet/min

D. 548 feet/min

20. What is the sum of and ?

A.

B.

C.

D.

Is the sum rational or irrational?

Technology Enhanced Items are not supported on PDF test booklets.

Determine whether or not the following sets represent a function.



24. Rewrite the following in exponential form :

A.

B.

C.

D.

Consider the graph of a function , shown below.

Match the values to the correct input.


A tank that was filled with water started leaking at time .

The table below shows the number of gallons left in the tank after different periods of time.

Time(in hours)

Volume(in gallons)

6 53710 51916 49224 456

Is the tank leaking at a constant rate?


How many gallons of water were in the tank at ?


Jacob and Robert work at a restaurant. On Friday night, Jacob earns per hour and Robert earns

per hour in addition to in tips. Which graph shows the amount of money earned by Jacob

and Robert?

28.

A.

B.

C.

D.

Some of the steps in Liam's solution to are shown.

Complete the boxes with reasons for lines 2 and 4 of Liam's solution.

Statement Reason1.

1. Given

2.

2.

Technology EnhancedItems are notsupported on PDFtest booklets.

3. 3. Subtraction Property ofEquality

4.

4.

Technology EnhancedItems are notsupported on PDFtest booklets.

Jess saved $500 working during the summer. He plans to buy school clothes with his money. Hefound jeans he liked for $30 per pair, including tax, and shirts for $17, including tax. If he buys exactlytwice as many shirts as jeans, how many pairs of jeans can Jess buy without exceeding $500?


Lois is four times as old as her son Dan. The sum of their ages is 40. How old is Dan?


Jaden is in charge of building a dance floor for the school dance. He wants to build the largest dancefloor that he can while staying within the budget. His plan is to buy wooden planks and lay them sideby side on the grass just outside the gym. A plank that 2 inches thick, 4 inches wide, and 8 feet longcosts $3.25. How large of a dance floor, in square yards, can he build with $526.50?


The equation represents the amount of money Itzel has left over after buying bottles of nail

polish.

What does the coefficient represent in this context?

34.

Perform the indicated operation and write your answer in standard form.


(When typing your answer, do not use the spacebar. If it contains an exponent, use the caret

symbol. Ex. would be typed x^3)

If the formula for the perimeter of a rectangle is , what is the formula for in terms of and

? 36.

If , what is an equation for in terms of , , and ?

37.

Solve by elimination. Express your answer as an ordered pair.

(


,


)

The bookstore sells two different sets of pens and pencils. Set A includes 3 pens and 2 pencils. SetB includes 1 pen and 4 pencils.Deena wants to buy exactly 31 pens and 34 pencils. How many sets of kind A should Deena buy?


What is the value of y in the following system of equations?y = 4x - 13x + 2y = 20


Give the domain and range of the function.

Domain:



Range:



The table below shows pairs of values that satisfy a linear function.

What is the x-intercept of the graph of this function?46.

Damien graphed the following linear function on an (x, y) coordinate plane. f (x) = 6x + 12.6 What is the x-intercept of the graph of this function?


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section 1 - richmond county school system...the equation represents the amount of money itzel has...

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