math test 1

. Select all of the conversions that are correct. 2.8 g = 280 cg 0.4 kg = 40 g 400 g = 400,000 mg 10 g = 0.1 kg 12 cg = 1.2 mg

2.8 g = 280 cg 400 g = 400,000 mg

write the numbers in order from greatest to least. 3 2/3, 10/3, 3 5/9, 3.65

3 2/3, 3.65, 3 5/9, 10/3

write the numbers in order from least to greatest. 6/9, 5/8, 7/11, 3/8

3/8, 5/8, 7/11, 6/9

Select ALL of the following that have a 2 in the thousands place and a 4 in the tens place. 37,241 32,741 32,645 24,340 82,403 62,148

32,741 32,645 62,148

Which of the following represents the largest value? A. 842 thousandths B. 82 hundredths C. 8 tenths D. 4 fifths

A

Select all the options that represent an algebraic expression. - 2x+3=9 - 5(x-7) - 2a+3b - 2x^2 = 4 - y-8+2x

5(x-7) 2a + 3b y-8 + 2x

. How many times larger is the first 6 —than the second 6? 2(6)3,461 A. 1,000 B. 600 C. 100 D. 60

A

In which of the following choices was the distributive property of multiplication over subtraction applied to get (4 x 2a)-(4x3b) A. (2a-3b)4 B. 4-(2ax3b) C. 4(2a + 3b) D. (4x2a)-(4x3b)

A

Jack's mom gave him $10 to spend at the school store for spiral notebooks that cost $1.25 and folders that cost $0.50. If he buys 3 spiral notebooks and the reset on folders, which option represents how much money he can spend if his mom asked him to spend under $10? A. 0.5x + 3.75 < 10 B. 1.25x + 1.5 > 10 C. 0.5x + 3.75 ≥ 10 D. 1.25x + 1.5 ≤ 10

A

Which of the following best depicts why 3 5 × = 15 ? (look at paper)

A (look at pdf for explanation)

In what quadrant is the point (-2,9) A. I B. II C. III D. IV

B

Ryan works at a sandwich shop and can make 35 sandwiches in 50 minutes. At this rate, how many sandwiches can he make in a 4-hour shift? A. 168 B. 170 C. 280 D. 342

A

The table below contains data to determine the relationship between the age of a driver and the farthest distance they are able to read a street sign. (look at paper) Which of the following lines is the best fit for the data? A. y= - 15/4 x + 590 B. y= - 15/4 x + 530 C. y= - 15/4 x + 80 D. y= - 15/4 x + 290

A

There are four cookies in a jar: two chocolate chip and two oatmeal. Without looking, what is the probability of reaching into the jar and getting two oatmeal cookies in the same grab? A. 1/6 B. 1/4 C. 1/3 D. 1/2

A

Which of the following graphs is the best graph to use when graphing data over time? A. Line graph B. Venn diagram C. Scatter plot D. Histogram

A

Which of the following is the expanded form of 520,003,109? A. 500,000,000 + 20,000,000 + 3,000 + 100 + 9 B. 520,000,000 + 3,000 + 100 + 9 C. 500,000, + 20,000, + 3,000 + 100 + 9 D. 500,000,000 + 20,000,000 + 30,000 + 100 + 9

A

. Find the area of the rectangle with the coordinates (2,0), (6,3), (-4,8), and (0,11) A. 25 square units B. 50 square units C. 75 square units D. 110 square units

B

. For the equation below, y = 82. Find the value of x. y= 2/5 (x-28) - 40 A. 375 B. 333 C. 280.5 D. 195.5

B

Clive is painting a design in the middle of a museum floor. His design consists of three triangles, each with a height of 6 feet and a base of 10 feet and one rectangle with a height of 18 1 2 feet and a base of 10 feet. If each can of paint covers 250 square feet, what is the minimum number of cans of paint Clive will need to buy? A. 1 B. 2 C. 3 D. 4

B

Evaluate the expression for b = −4 -b^2-3b A. −28 B. −4 C. 4 D. 28

B

In a 7th grade survey, four students reported their favorite milkshake flavor was vanilla. How many students reported that caramel was their favorite flavor? (look at paper) A. 4 B. 6 C. 10 D. 15

B

Lines a and b are perpendicular to one another, and line c is parallel to line a. What is the relationship between lines b and c? A. Parallel B. Perpendicular C. Intersecting but not at a right angle D. Parallel and intersecting

B

Mrs. Smith has 50 books to give away to 8 students. She wants to make sure each student gets the same number of books. How many books should she give to each student? A. 5 B. 6 C. 6.25 D. 7

B

The steps to simplifying a problem are below. In which step was the distributive property used step 1: 6x + 3 + 4(2x + 1) step 2: 3(2x + 1)+ 4(2x + 1) step 3: (2x + 1)(3 + 4) A. Step 1 B. Step 2 C. Step 3 D. The distributive property was never used.

B

Which of the following expressions could be used to find 7% of $300? A. 300 × 0.7 B. 300 x (7/100) C. 300/ (7x100) D. 300/ (7x10)

B

Which of the following pairs of numbers have the same prime factors? A. 10 and 12 B. 18 and 24 C. 16 and 28 D. 15 and 30

B

Drag and drop (write) the graph type in the square that would best display the data. - line graph - circle graph - bar graph - histogram - Number of students in grades 6-8 - Frequency of answers in intervals of 10 - Percent of families with 0, 1, or 2 children - Time and distance of a road trip

Bar graph Histogram Circle graph Line graph

. Which of the following graphs the solutions of (x+3)(x-4)=0 (look at answers on paper) A B C D

C

A six-sided cube has the numbers 1-6 on the sides. If the cube is rolled four times, and a 5 is rolled each time, what is the probability of the cube landing on a 5 on the fifth roll? A. 2/3 B. 1/2 C. 1/6 D. 0

C

A softball team is selling candles in boxes of 6. They make a profit of $2.75 for each candle they sell. If they want to make enough money to cover the $825 entry fee for a softball tournament, how many boxes of candles do they need to sell? A. 300 B. 138 C. 50 D. 17

C

Ellie's food truck currently serves four main dishes and three side dishes, and each meal consists of one main dish and one side. Next week, she is adding one main dish and two sides to the menu. How many more combinations of meals will her customers be able to get with the new additions? A. 2 B. 12 C. 13 D. 25

C

Forrest is performing a magic trick and tells his friends to do the following: i. Think of a number. ii. Subtract seven from that number. iii. Divide your answer by five. iv. Cube the result. Which of the following could be used to represent these steps? A. (n-7/5)^3 B. (7-n)/5^3 C. (n-7/5)^3 D. (n-7)^3/5

C

Four times the difference of twice a number and seven is subtracted from eight times a number. Which of the following represents this scenario? A. 4(7-2n)-8n B. 8n-4(7-2n) C. 8n-4(2n-7) D. 4(2n-7)-8n

C

Goodie bag A has four fewer pieces of candy than goodie bag B. Together the bags have 48 pieces of candy. Which system of equations can be used to represent this scenario? A- A = B + 4 A + B = 48 B- A - B = 4 A + B = 28 C- B - 4 = A A + B = 48 D- A + B = 4 A - B = 48

C

The net below is of which three-dimensional figure? (look at paper) A. Hexagonal prism B. Hexagonal pyramid C. Pentagonal prism D. Pentagonal pyramid

C

The parents of all the students in Mr. Harmon's class were invited to open house. 84% of the students' parents were in attendance. If there are 25 students in the class, what fraction represents the number of students' parents who were not in attendance? A. 1/25 B. 21/25 C. 4/25 D. 4/21

C

What is the perimeter of a square with an area of 49 square inches? A. 7 inches B. 24.5 inches C. 28 inches D. 98 inches

C

if 2/5 a +3=11, what is the value of 3a-1 A. 1.4 B. 15.8 C. 59 D. 104

C

Carlos got finished with soccer practice at 6:05 P.M. If practice lasted 2 hours and 20 minutes, what time did practice start? A. 2:45 P.M. B. 3:15 P.M. C. 3:20 P.M. D. 3:45 P.M.

D

Find the area of the figure. (look at paper) A. 110 square cm B. 228 square cm C. 242 square cm D. 338 square cm

D

Four students in Mr. Neal's class performed an experiment with a spinner containing four equal parts, each part a different color. The students spun the spinner 12 times and recorded the color it landed on in the table. (look at paper) What is the experimental probability of the spinner landing on red? A. 1/4 B. 1/5 C. 4/5 D. 1/2

D

Given the equation y = 3x + 1 , identify the dependent and independent variable. A. x is the dependent variable; y is the independent variable. B. y is the dependent variable; 3 is the independent variable. C. x is the dependent variable; 1 is the independent variable. D. y is the dependent variable; x is the independent variable

D

Round 2,345.601 to the nearest tens. A. 2,340 B. 2,346 C. 2,345.6 D. 2,350

D

The cost of 4 notebooks is $5. Which expression below represents the cost of 7 notebooks? A. 7 notebooks x 4 notebooks/$5 B. 4 notebooks x 7notebooks/$5 C. 7notebooks/ 4notebooks/$5 D. 7 notebooks x $5/4notebooks

D

The fraction of an hour it took 4 students to complete a test is listed in the table. What is the sum of the number of hours it took all four students to complete the test? (look at chart on paper) A. 23/10 B. 23/15 C. 23/30 D. 30/10

D

The point (-8,-3) is reflected over the y-axis. What is the x-coordinate of the reflected point? A. −8 B. −3 C. 3 D. 8

D

Which of the following could be the height of a front door to a residential home? A. 24 meters B. 244 mm C. 2 km D. 244 cm

D

Which of the following is the function rule for the table given? x y 1 1 2 4 4 10 8 22 A. y+3x=-2 B. y-3x=2 C. 3x-y=-2 D. 3x-y=2

D

Using the figure below, choose all the rays that are shown (look at paper) - HG - MG - GK - HN - NH - KH

HG GK HN KH

The two figures below are similar. Choose TWO statements that are true about the figures (look at paper) - the ratio of x to y must be 2:1 ratio - if x=3a, then y= 1.5a - y:x is equivalent to a 2:1 ratio - 4a/2a = y/x

The ratio of x to y must be a 2:1 ratio if x=3a, then y=1.5a