State Test Review

Number System

100

Which rational number can be represented by the decimal value .333333333... ?

1/3

200

Adrian is creating a number line. Between which pair of numbers should Adrian place square root of 0.5?

A) 0 and .35

B) 0.35 and 0.6

C) 0.6 and 0.75

D) 0.75 and 1

 

C) 0.75 and 1

300

What two whole numbers does √𝟓𝟐 fall between?

7 and 8

400

Consider the list of numbers.

 − 𝟏𝟐/𝟓 , 𝝅/ 𝟒 , 𝟑. 𝟏𝟐̅, √𝟑𝟔 

Label the numbers irrational or rational correctly.

What is

Irrational 𝜋/ 4 

Rational − 12/5 , 3.12̅, √36

500

Consider the list of values

 𝟐𝝅, √𝟒𝟐, √𝟑𝟎, √𝟒𝟕, 𝝅 + 𝟐. 𝟓

Which list orders the values from greatest to least on a horizontal number line?

What is √47, √42, 2𝜋, 𝜋 + 2.5, √30

Functions

100

After conducting an experiment in science class, students write the linear model 𝒘 = −𝟎. 𝟐𝒅 + 𝟏𝟒𝟎 to represent the weight of an orange, 𝒘, in grams, after 𝒅 days of the orange sitting on a counter. Based on the linear model, which statement is true? 

A The orange’s weight is initially 0.2 gram, and the weight decreases by 140 grams for every 1 day that the orange sits on the counter. 

B The orange’s weight is initially 1 gram, and the weight decreases by 0.2 gram for every 140 days that the orange sits on the counter. 

C The orange’s weight is initially 140 grams, and the weight decreases by 0.2 gram for every 1 day that the orange sits on the counter. 

D The orange’s weight is initially 140 grams, and the weight decreases by 1 gram for every 2 days that the orange sits on the counter.

C The orange’s weight is initially 140 grams, and the weight decreases by 0.2 gram for every 1 day that the orange sits on the counter.

200

An online candy store calculates the total cost of an order as a function of the weight, in pounds, of the candy plus a fixed shipping cost. The ordered pairs shows the total cost of three candy orders of different weights. 

 (𝟑, $𝟏𝟑. 𝟓𝟎) (𝟕, $𝟐𝟑. 𝟓𝟎) (𝟏𝟎, $𝟑𝟏. 𝟎𝟎)

 According to the table, which statement is true? 

A The cost per pound of candy is $2.50.

B The cost per pound of candy is $10.00. 

C The fixed shipping cost is $11.00. 

D The fixed shipping cost is $13.50.

A The cost per pound of candy is $2.50.

300

The Indian Ocean contains approximately 𝟑 × 𝟏𝟎²⁰ liters of water. Lake Baikal contains approximately 𝟐 × 𝟏𝟎¹⁶ liters of water. Approximately how many times greater is the volume of the Indian Ocean than the volume of Lake Baikal?

15,000 times greater

400

The hourly wage, in dollars, 𝒚, of an employee at The Burger Hut can be represented by the equation 𝒚 = 𝟓. 𝟕𝟓𝒙 + 𝟕, where 𝒙 is the number of years of employment. An employee at The Breakfast Diner makes $𝟓 an hour the first year of employment, and the wage increases by $𝟔. 𝟕𝟓 per hour for each additional year of employment. Which statement is true? 

A For each additional year of employment, The Breakfast Diner increases a worker’s wage $1 more per hour than The Burger Hut.

B For each additional year of employment, The Breakfast Diner increases a worker’s wage $2 more per hour than The Burger Hut. 

C For each additional year of employment, The Burger Hut increases a worker’s wage $1 more per hour than The Breakfast Diner. 

D For each additional year of employment, The Burger Hut increases a worker’s wage $2 more per hour than The Breakfast Diner.

A For each additional year of employment, The Breakfast Diner increases a worker’s wage $1 more per hour than The Burger Hut.

500

A tablet costs $𝟓𝟓𝟎 plus 𝟔% sales tax. A student already has $𝟏𝟓𝟎 saved and earns $𝟏𝟐𝟎 per week lifeguarding. If the student saves half of the earnings from lifeguarding each week, what is the minimum number of weeks the student must lifeguard to save enough money to buy the tablet?

A 3 weeks 

B 4 weeks 

C 7 weeks 

D 8 weeks  

D 8 weeks  

Exponents & expressions

100

X²=64

X=8

200

Which expressions are equivalent to (2^-3 * 2^-2 *2³ )

Select two answer choices.

A) 8^-2  

B) 2²

C) 1/4

D) 1/64

E) 2^-2

C, E

300

Blake and Anthony have a snail race. Blake’s snail moves 1.5x10^-3 centimeters per minute. Anthony’s snail moves 3.5x10^-4 centimeters per minute. How much faster is Blake’s snail racing than Anthony’s?

1.15 x 10^-3

400

The volume of the planet Venus is 9. 284 × 10¹¹ cubic kilometers. The volume of the planet Mars is 1. 632 × 10¹¹ cubic kilometers.

What is the difference between the volumes of Venus and Mars?

7.652 x 10¹¹ cubic kilometers

500

The length of a particular bacteria cell is ­1.5×10­−7 meters, and the length of a human red blood cell is 9×10−6 meters. How many times larger is the red blood cell as compared to the bacteria cell?

60 times larger

Statistics & Probability

100

2023-2024 Practice test #2

D

200

2023-2024 Packet #51

B) 12%

300

2023-2024 Packet #37

B

400

2021-2022 Practice Packet #60

D

500

2021-2022 Practice Test #53

B) 11

Geometry

100

What are the names of the transformations that keep the pre-image to image congruent?

Translations, reflections, and rotations

200

Which measurement best represents the distance between the points (1,4) and (3,1)and on a coordinate plane?

3.6 units

300

Two friends order cotton candy at the county fair. Friend 𝟏 orders a large cylindrical cotton candy container, and Friend 𝟐 orders a small conical container. Both containers have a radius of 𝟑 inches and a height of 𝟖 inches. What is the total volume of both containers of cotton candy? (Use 𝟑. 𝟏𝟒 as an approximation of pi.)

301.44 cubic inches

400

Higgins Ice Cream Shop sells ice cream in cone containers. The diameter of the cone containers is 2. 5 inches, and the height is 6 inches. One tub of Higgins Ice Cream is 384 ounces, and 1 cubic inch is equivalent to 0. 55 ounce.

What is the maximum number of cone containers Higgins Ice Cream Shop can fill completely with one tub of ice cream? (Use 3. 14 as an approximation of pi.)

A 10 waffle cones

B 18 waffle cones

C 39 waffle cones

D 71 waffle cones

D 71 waffle cones

500

Line segment MN is 5 units long, and line segment ST is 7 units long. Line segment MN is translated 1 unit up, and line segment ST is translated 1 unit down. 

Which statement is true? 

A Line segment M'N' and line segment S'T' are both 6 units long. 

B Line segment M'N' and line segment S'T' are both 12 units long.

C Line segment M'N' is 7 units long, and line segment S'T' is 5 units long. 

D Line segment M'N' is 5 units long, and line segment S'T' is 7 units long.

D Line segment M'N' is 5 units long, and line segment S'T' is 7 units long.