State Math Assessment Review Practice Click to move on to directions.

Directions Read each question carefully using the diagrams and graphs to help. Mentally or on scratch paper choose the correct answer from the selection provided. Click on the mouse to make all the wrong answers fade away to leave only the correct answer. Click on the mouse to move to the next question. Scratch paper and calculators may be used.

1. Which property is demonstrated by the following: 3(16) = 3(10+6) A. Associative property of addition B. Commutative property of addition C. Distributive property D. Substitution property

2. Which of the following shows the associative property of multiplication? B. (4·3)5 = 5(4·3) C. (4·3)5 = 4(3·5) D. (4·3)5 = (4·5)3

3. Which of the following is an example of the symmetric property? B. 3 + 5 = 3 + 5 C. If 3 + 5 = 8 then 8 = 3 + 5 D. If 3 + 5 = 8 then 3 + 5 + 2 = 8 + 2

4. Given the odds of 3/5 of an event occurring, what is the probability of it occurring?   .

A. 15 posts B. 30 posts C. 40 posts D. 55 posts 5. Bill estimated it would take about 100 posts to fence a square yard with dimensions of 50 feet. After he looked at his neighbor’s yard and noticed that he used 8 posts for a 42 foot side, how should he adjust his estimate? A. 15 posts B. 30 posts C. 40 posts D. 55 posts

6. The bill for food at Old Chicago came to $120 6. The bill for food at Old Chicago came to $120. The tax on this bill is $9. What is the percent of tax? A. .075% B. .75% C. 7.5% D. 75%

7. Given V = I R, where V is voltage in volts, I is current in amps and R is resistance in ohms, find the resistance if a current of 2.5 amps is applied with a voltage of 15 volts. A. 0.166666 B. 6 C. 17.5 D. 37.5

8. A cylinder has measurements of a length of 42 inches and a radius of 9 inches. Approximately how much water will it hold? A. 131 in³ B. 254 in³ C. 1,186 in³ D. 10,687 in³

9. Tom buys a new car with a sticker price of $32,000 9. Tom buys a new car with a sticker price of $32,000. He pays a sales tax of 8.5%. What is the total price he pays for the car? A. $2,720 B. $4,720 C. $32,272 D. $34,720

A. y = 15x + 60 B. 15y = x + 60 C. y = 60x + 15 D. 60y = x + 15 10. Students pay a $15 registration fee plus $60 for each workshop they attend. Write an equation giving the total cost “y” of attending “x” workshops. A. y = 15x + 60 B. 15y = x + 60 C. y = 60x + 15 D. 60y = x + 15

11. The formula for compound interest is A = P(1 + r/n)nt where A is the amount of money in the account, P is the principle, r is the interest rate as a decimal, n is the number of times it will be compounded in a year and t is the number of years it stays in the account. If a person put $1000 in an account that has an annual interest rate of 7.5% and compounded quarterly, how much will the account have in 10 years?  A. $1201.53 B. $2102.35 C. $3205.57 D. $10,771.36

12. The theater sells tickets at $20 for adults and $10 for children 12. The theater sells tickets at $20 for adults and $10 for children. They need to sell $1000 in tickets. If they sell 20 children’s tickets, how many adult tickets would they need to sell? A. 40 B. 60 C. 80 D. 100

13. What is the x value of the solution to the system of equations 13. What is the x value of the solution to the system of equations? 3x + 2y = 5 x – 3y = - 13 A. x=1 B. x=2 C. x=-1 D. x=-2

14. When you solve a system of linear equations and you get that there is no solution, what does this mean? A. You have the same line. B. The lines intersect at the point (0,-6) C. The lines intersect at the point (-6,0) D. The lines are parallel.

15. What does the point (3,35) represent? A. You will make $35 for every 3 hours worked. B. You will make $35 if you work 3 hours. C. You will make $3 for every 35 hours worked. D. You will make $3 if you work for 35 hours. 1 2 3 4 5 Number of hours worked $50 $30 $10 Money Earned on the Job

16. On the above graph, what is the meaning of the y intercept? Length of wire installed Cost of installation $100 $200 $300 100 ft Cost of Installing Internet Cable A. There is an initial cost of $200 before any wire can be installed. B. It cost $0 to install 200 feet of wire. C. It cost $200 to install 200 feet of wire. D. It cost $200 to install 100 feet of wire.

A. The entire line will move up 4 spaces. 17. If the equation for the graph above is y = -x + 1, what will happen to the graph when the equation changes to y = -x + 5? A. The entire line will move up 4 spaces. B. The entire line will move up 5 spaces. C. The entire line will be steeper. D. The entire line will be flatter.

18. Teddy is making a picture frame for his mother 18. Teddy is making a picture frame for his mother. The dimensions of the frame are 18 inches by 10 inches. What should the diagonal measure in order to have each corner be a right angle? A. 18 in B. 28 in C. 20.591 in D. 21.345 in

19. What is the area of the porch? Roger is building a rectangular porch, using boards that he had in the back yard. He put a diagonal brace on the frame that is 25 feet long. He then measured the front and it is 20 feet long. A. 70 sq. ft. B. 300 sq. ft. C. 500 sq. ft. D. 7500 sq. ft. 20 ft 25 ft

20. A cylindrical bottle of water is rotated 90o counterclockwise 20. A cylindrical bottle of water is rotated 90o counterclockwise. How is the volume of the water changed? A. doubles B. cuts in half C. triples D. remains the same

21.Which statement is true about the area of next year’s garden? Sam has a rectangular garden plot 25 feet by 50 feet. He plans next year to cut down on the size of the garden. The new dimensions will be changed by a factor of 4/5. The area of next year’s garden will be reduced by: A. 4/5 B. 8/25 C. 16/25 D. 64/125

22. What is the ratio of the area of Bob’s triangle compared to Jane’s? Bob has a triangle with a base of 4 mm and a height of 7mm. The base and height of Jane’s triangle are five times as long as Bob’s triangle. A. 1:5 B. 1:10 C. 1:25 D. 4:7

23. Which line would be perpendicular to the line y = 5x – 6? A. y = 5x + 7 B. y = -5x + 7 C. y = 1/5 x + 7 D. y = - 1/5 x + 7

24. What is the slope of the line with the equation 2x + 4y = 12 ? B. -2 C. -½ D. ½

25. Fawn survival rate of whitetail deer in Kansas is 30% 25. Fawn survival rate of whitetail deer in Kansas is 30%. What are the odds the fawn will survive? A. 3/10 B. 3/7 C. 7/10 D. 7/3

Scores Each question is worth 4% points. Count up the number you have correct and multiply by 4 to get your percentage. You will need to get a passing score on the assessment from the state to avoid remediation.

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