2020 Test B Math

Practice questions from 2020 Test B Math, with an explanation of every answer.

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3/5(2x + 5) − 2x

3/5(2x+5)-2x After the expression above is simplified, what is the coefficient of x, expressed as a decimal?
- Type Algebraic expressions
- NYS standards 7.EE.1, 6.EE.2b
- Difficulty 2 of 5
- Format Grid-in
Two number cubes

Two number cubes have sides labeled 1 through 6. Both number cubes are rolled. How many different outcomes will have a sum of 6?
- Type Counting and arrangements
- NYS standards 7.SP.8b
- Difficulty 3 of 5
- Format Grid-in
A scale drawing of a garden

The figure above shows a scale drawing of a garden, where 1 centimeter represents 2.5 meters. What is the perimeter of the actual garden in meters?
- Type Proportions and scale, Area and perimeter
- NYS standards 7.G.1, 6.NS.3
- Difficulty 3 of 5
- Format Grid-in
At one location, the temperature increased

At one location, the temperature increased from −7° F to 4° F between 5:00 a.m. and 9:00 a.m. By 11:00 a.m., the temperature was 3.5 times greater than the 9:00…
- Type Arithmetic and order of operations
- NYS standards 7.NS.3, 7.NS.1c
- Difficulty 3 of 5
- Format Grid-in
The figure below is a triangular prism

The figure below is a triangular prism. The lateral sides are rectangles. What is the volume of the figure, in cubic inches?
- Type Volume and surface area
- NYS standards 7.G.6
- Difficulty 2 of 5
- Format Grid-in
This graph shows the weight of a pole

This graph shows y, the weight of a pole of length x. What is represented by the point with coordinates (1, 4)?
- Type Proportions and scale
- NYS standards 7.RP.2d, 7.RP.2b
- Difficulty 2 of 5
Which point represents 2.5 + (−4.5)

The number line shows points E, F, G, and H. Which point represents the sum of 2.5+(-4.5)?
- Type Arithmetic and order of operations, Number line and absolute value
- NYS standards 7.NS.1b, 6.NS.6c
- Difficulty 1 of 5
If 9/(2x) = 3y/8

If 9/2x=3y/8, where x≠ 0 and y≠ 0, what is the product of x and y?
- Type Linear equations
- NYS standards 8.EE.7, 6.EE.2b
- Difficulty 3 of 5
- Level Above grade 7
A car dealership is having a sale

A car dealership is having a sale where all cars have a 12% discount. What is the discounted price of a car that originally cost $15,600?
- Type Percents
- NYS standards 7.RP.3, 6.RP.3c
- Difficulty 1 of 5
4 2/3 ÷ 2 1/2

4 2/3÷ 2 1/2=
- Type Fractions and decimals
- NYS standards 6.NS.1
- Difficulty 2 of 5
- Level Below grade 7
In a sports league

In a sports league, each team has 36 players and 3 coaches. There are also a number of team assistants. The ratio of team assistants to players is 1/6. What…
- Type Ratios
- NYS standards 6.RP.3, 6.RP.1
- Difficulty 2 of 5
- Level Below grade 7
Lena is building a fence

Lena is building a fence. She will need to dig holes to help support the posts that hold up the fence. The holes need to have a depth of 3…
- Type Fractions and decimals
- NYS standards 7.NS.3
- Difficulty 1 of 5
- Level Below grade 7
p + 2r = r(p + 1) + 1

p+2r=r(p+1)+1 In the equation above, if r=2, what is the value of p?
- Type Linear equations
- NYS standards 8.EE.7b, 6.EE.2c
- Difficulty 2 of 5
Karen reads 60 pages per day

Karen reads at the rate of 60 pages per day. Martina reads 25% more pages per day than Karen. If the two students begin 1,500-page reading assignments on the same…
- Type Rates and speed, Percents
- NYS standards 7.RP.3, 6.RP.3b
- Difficulty 4 of 5
- Level Above grade 7
Claire is running on a circular track

Claire is running on a circular track. She has already run 650 meters. Each lap around the track is a distance of 120 meters. Her goal is to run at…
- Type Arithmetic and order of operations
- NYS standards 7.EE.4b, 6.NS.2
- Difficulty 3 of 5
A company with 200 employees grew

A company with 200 employees grew in size by 25% between 2005 and 2010. The company grew again by 10% between 2010 and 2015. What was the total number of…
- Type Percents
- NYS standards 7.RP.3, 6.RP.3c
- Difficulty 3 of 5
A bowl contains 12 green candies

A bowl contains 12 green candies, 4 yellow candies, and some red candies. The probability of choosing a green candy at random is twice as great as the probability of…
- Type Probability
- NYS standards 6.SP.8a, 6.EE.7
- Difficulty 4 of 5
- Level Above grade 7
A seller at an Internet site

A seller at an Internet site reports that 99.7% of his sales have resulted in satisfied customers. Based on the report, what fraction of the sales have resulted in unsatisfied…
- Type Percents, Fractions and decimals
- NYS standards 6.RP.3c, 6.NS.3
- Difficulty 2 of 5
- Level Below grade 7
Serena was studying the number of water stations

Serena was studying the number of water stations for different lengths of races. The table below shows the data she collected. WATER STATIONS IN RACES Length of Race (mi) Number…
- Type Proportions and scale
- NYS standards 7.RP.2c, 7.RP.2b
- Difficulty 2 of 5
Centerville will hold a vote

Centerville will hold a vote on whether to build a new park. The town council surveyed a random sample of 200 residents to determine whether they would be in favor…
- Type Proportions and scale
- NYS standards 7.RP.3, 6.SP.1b
- Difficulty 4 of 5
Which number shown above is the greatest

-1/49, -49, -1/7, -1 Which number shown above is the greatest?
- Type Number line and absolute value, Fractions and decimals
- NYS standards 6.NS.7a, 6.NS.7d
- Difficulty 2 of 5
- Level Below grade 7
What decimal is equivalent to −13/11

What decimal is equivalent to -13/11?
- Type Fractions and decimals
- NYS standards 7.NS.2d
- Difficulty 2 of 5
Each loaf of bread a baker makes

Each loaf of bread a baker makes requires 1/5 ounce of salt. How many loaves can be made if 40 ounces of salt are used?
- Type Fractions and decimals
- NYS standards 6.NS.1
- Difficulty 1 of 5
- Level Below grade 7
What is the value of

What is the value of (1 5/7-1 6/7)(3 4/7-3 6/7)?
- Type Fractions and decimals
- NYS standards 7.NS.2b, 7.NS.1c
- Difficulty 3 of 5
Which number line represents the values

Which number line represents the values of x that satisfy the inequality -5≤ 1-3x≤ 4?
- Type Inequalities
- NYS standards 7.EE.4b, 6.EE.8
- Difficulty 4 of 5
- Level Above grade 7
If 1 sind = 0.75 plunk

If 1 sind = 0.75 plunk, how many sinds are equivalent to 8 plunks, rounded to the nearest hundredth?
- Type Unit conversion
- NYS standards 6.RP.3d, 6.NS.3
- Difficulty 3 of 5
Simplify 8x − (7 + 2.5x) + 2

Simplify: 8x-(7+2.5x)+2
- Type Algebraic expressions
- NYS standards 7.EE.1
- Difficulty 2 of 5
Kim can repair 3 bicycles every 4 hours

Kim can repair 3 bicycles every 4 hours. At this rate, how long will it take her to repair 5 bicycles?
- Type Rates and speed
- NYS standards 6.RP.3b, 6.RP.3d
- Difficulty 2 of 5
- Level Below grade 7
Jar Q contains 12 balls

Jar Q contains 12 balls, and Jar R contains 8 balls. The probability of drawing a yellow ball at random from Jar Q is 1/3. The probability of drawing a…
- Type Probability
- NYS standards 6.SP.8a, 6.RP.3
- Difficulty 3 of 5
GIA’S BAG OF SNACK MIX

GIA’S BAG OF SNACK MIX Snack Number in Bag Pretzels 12 Raisins 9 Gia and her friends counted the numbers of pretzels and raisins in their bags of snack mix.…
- Type Proportions and scale
- NYS standards 7.RP.2a, 6.RP.3a
- Difficulty 2 of 5
If y = 4x

If y=4x, what is the value of 3y+2(3y+5)-x in terms of x?
- Type Algebraic expressions
- NYS standards 7.EE.1, 6.EE.2c
- Difficulty 2 of 5
Two circular plates

Two circular plates have the dimensions shown. What is the difference between the areas of the two plates, in square inches?
- Type Circles
- NYS standards 7.G.4
- Difficulty 2 of 5
If x = −4

If x=-4, what is the sum of x and 10% of |x|?
- Type Percents, Number line and absolute value
- NYS standards 7.NS.1b, 6.NS.7c, 6.RP.3c
- Difficulty 2 of 5
The volume of a cube is 512

The volume of a cube is 512 cubic centimeters. What is the length, in centimeters, of one side of this cube?
- Type Volume and surface area, Exponents and roots
- NYS standards 8.EE.2, 6.G.5
- Difficulty 2 of 5
- Level Above grade 7
The high temperature on Monday

The high temperature on Monday was x° F. On Tuesday, the high temperature was 84° F, which was a 5% increase from Monday’s high temperature. On Wednesday, the high temperature…
- Type Percents
- NYS standards 7.RP.3, 6.EE.7
- Difficulty 3 of 5
- Level Above grade 7
The integers (n − 1), n, and (n + 1)

The integers (n-1), n, and (n+1) are factors of 168. What is the greatest possible value of n?
- Type Number properties
- NYS standards 6.NS.4
- Difficulty 2 of 5
Raoul gave two musical performances

Raoul gave two musical performances. His second performance occurred 86 days after his first performance. If Raoul’s second performance was on a Tuesday, on what day of the week was…
- Type Patterns and sequences
- NYS standards 6.NS.2
- Difficulty 3 of 5
Michael received a check for $213

Michael received a check for $213 for working 20 hours at his part-time job. The amount on the check was his total pay after $32 in taxes was deducted. What…
- Type Rates and speed
- NYS standards 6.RP.3b, 6.NS.3
- Difficulty 2 of 5
- Level Below grade 7
What is the total surface area

What is the total surface area, in square centimeters, of the closed box shown above?
- Type Volume and surface area
- NYS standards 7.G.6, 6.G.4
- Difficulty 2 of 5
The value of a particular car

The value of a particular car decreases at a constant rate. If the car is worth $15,000 three years after its original purchase date and $10,000 five years after its…
- Type Functions and slope
- NYS standards 8.F.4
- Difficulty 3 of 5
- Level Above grade 7
A bag contains 2 green, 4 blue

A bag contains 2 green, 4 blue, and 3 yellow disks. Alana selects 4 disks from the bag at random, one at a time, without replacing them. What is the…
- Type Probability
- NYS standards 7.SP.8a, 7.SP.8b
- Difficulty 4 of 5
- Level Above grade 7
Jevon earns 1/2% per year

Jevon earns 1/2% per year on the money in his savings account. Which expression is not another way to write 1/2%?
- Type Percents, Fractions and decimals
- NYS standards 6.RP.3c, 7.NS.2d
- Difficulty 3 of 5
A community garden had 50 members

A community garden had 50 members in 2001. In each of the next three years, the number of members increased by 40% over the number of members from the previous…
- Type Percents
- NYS standards 7.RP.3
- Difficulty 3 of 5
Which inequality is equivalent

Which inequality is equivalent to 6x-20
- Type Inequalities
- NYS standards 7.EE.4b, 8.EE.7b, 7.EE.1
- Difficulty 4 of 5
- Level Above grade 7
A box contains a total of 30 paper clips

A box contains a total of 30 paper clips with colors in the ratio red:white:blue=2:5:3. Suppose that one paper clip of each color is removed from the box and not…
- Type Probability, Ratios
- NYS standards 6.SP.8a, 6.RP.3
- Difficulty 3 of 5
The least positive integer evenly divisible

The least positive integer evenly divisible by the first 6 positive integers is 60. What is the least positive integer evenly divisible by the first 8 positive integers?
- Type Number properties
- NYS standards 6.NS.4
- Difficulty 3 of 5
Three different colors of paint

Three different colors of paint are available to paint the window frame, the door, and the wall of a house. If no two parts of the house may be painted…
- Type Counting and arrangements
- NYS standards 7.SP.8b
- Difficulty 2 of 5
Triangle MNP is similar to triangle XYZ

Triangle MNP is similar to triangle XYZ, and MN=NP. What is the perimeter of triangle MNP?
- Type Triangles and the Pythagorean theorem
- NYS standards 8.G.4, 7.G.1
- Difficulty 3 of 5
- Level Above grade 7
Suppose that w, x, y, and z are integers

Suppose that w, x, y, and z are integers, none of which are zero. Under which set of conditions would the product x^2yz^3|w| always be positive?
- Type Arithmetic and order of operations, Exponents and roots
- NYS standards 7.NS.2a, 6.EE.1, 6.NS.7c
- Difficulty 4 of 5
- Level Above grade 7
Chris has 1 red shirt

Chris has 1 red shirt, 2 white shirts, and 3 black shirts. Chris picks a shirt at random. Without putting the first shirt back, he picks a second shirt at…
- Type Probability
- NYS standards 7.SP.8a, 7.SP.8b
- Difficulty 3 of 5
- Level Above grade 7
Rita used 125 small solid cubes

Rita used 125 small solid cubes to build a large solid cube. The measure of each edge of the small cubes equals 1 inch. What is the measure of each…
- Type Volume and surface area, Exponents and roots
- NYS standards 6.G.5, 6.G.2
- Difficulty 1 of 5
- Level Below grade 7
Five numbered balls

Five numbered balls are placed in two boxes as shown in the figure above. Davina picks one ball at random from Box B and places it in Box A. Then…
- Type Probability
- NYS standards 7.SP.8a, 7.SP.8b
- Difficulty 5 of 5
- Level Above grade 7
Which graph represents the solution

Which graph represents the solution to |x+1|≥ 2?
- Type Inequalities, Number line and absolute value
- NYS standards 7.NS.1c, 7.EE.4b, 6.NS.7c
- Difficulty 4 of 5
- Level Above grade 7
A rectangular kitchen floor

A rectangular kitchen floor is 12 feet long and 7.5 feet wide. It will be covered completely with new square tiles measuring 0.75 foot on each side. How many tiles…
- Type Area and perimeter
- NYS standards 6.G.1, 6.NS.3, 6.NS.1
- Difficulty 3 of 5
Typically, an amusement park sells

Typically, an amusement park sells 3 times as many tickets on Sunday as on any weekday, and 4 times as many tickets on Saturday as on Sunday. If the number…
- Type Linear equations
- NYS standards 7.EE.4, 6.EE.7
- Difficulty 3 of 5
A rectangular field had a length

A rectangular field had a length of 80 meters and a width of 50 meters. The field was recently enlarged, with the length increased by 15% and the width increased…
- Type Percents, Area and perimeter
- NYS standards 7.RP.3, 6.G.1
- Difficulty 4 of 5
- Level Above grade 7
If x and y are both negative integers

If x and y are both negative integers with x
- Type Arithmetic and order of operations, Exponents and roots
- NYS standards 7.NS.2a, 6.NS.7d
- Difficulty 4 of 5
- Level Above grade 7