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Name _____________________ Date:_____________________

a. 5

If 2x

a. The answer for 20000000 × 3.5 × 1000000 in scientific notation is

(Hint: put 20000000 and 1000000 in scientific notation first)

b. 0.0004 × 4000 as a decimal is ___________ and as a fraction is ____________

a. Which set contains only rational numbers?

b. Pull out all the irrational numbers from each set above and write them down here.

_______________________________________________________

To go to school, you have to walk 6 miles east and then 8 miles north ?

a. Draw a figure representing your path from home to school

b. Draw a line representing the shortest distance you could have taken. Then, calculate this distance _________________

The formula for the area of a circle is shown below

A = pi × r

a. Which of the following is the correct expression for r or the radius in terms of A and pi?

b.Use the correct formula you found in part a and pi = 3 to find r when A = 48 square feet.

r = __________________

A company charges a flat fee of 1500 dollars to rent a yacht. In addition, renters must pay 100 dollars per hour.

a. Which equation shows the cost C to rent a yacht for h hours?

b. How much would it cost you to rent a yacht for 5 hours?

c. What is the slope of the cost? what is the y-intercept?

d. Using the answers for c, graph the cost on the coordinate system.

Escalator 1 has a rise of 6 and a run of 4. Escalator 2 has a rise of 12 and a run of 6. Do the escalators have the same slope? Explain with math computation.

Celita has a garden shaped like a square. How does the area changes if she triples the length of each side?

Find the volume of a cone with a radius of 8 inches and a height of 3 inches.

(Hint: Use v = 1/3 (pi × r

a. Look at the figure above and then tell which graph(s) show the following correlation.**Positive correlation.** ____________ **Negative correlation**_____________**No correlation**___________

b. What kind of correlation is the following situation?

Number of gallons of gas in your car and the distance you can travel ___________________

Number of oranges you can eat and your height ___________________

Number of students going to a concert and the revenue generated.____________________

c. If a scatter plot shows a negative correlation, which line of best fit could represent the scatter plot?**A.** y = x - 5 **B.** y = -1000x + 5000 **C.** y = 100x - 7 **D. **y = 5 **12.**

What is the equation of a line that has a slope of 3/5 and a y-intercept of 2?**A.** 5y - 3x = 10 **B.** 5x - 3y = 10 **C.** 5y + 3x = 10 **D. **5x + 3y = 10 **13.**

Triangle ABC has vertices (1,1), (3,5), and (5, 3). This triangle is dilated by a factor of 3. What are the images of the 3 vertices. Graph ABC and the image A'B'C'**14.**

The diagonal of a square computer screen is 50 inches. What is the perimeter of this TV? ______________**15.**

100 students take a survey to see what kind of ice cream people in America like to eat.

Which of the following will most likely flaw the survey?**A.** Some students were not born in the United States**B.** The students were not young enough**C. **The survey may not include people who travel 50 miles to get ice cream**D. **Choose students from a variety of schools. **16.**

Which statement shows the similarity between the following 2 graphs?

4y = 2x + 0.5 and 4y = 5x + 1/2**A.** The y-intercepts are the same **B.** The graphs are identical**C. **The x-intercepts are the same **D. **The slopes are the same**17. **

Below are 3 equations

1) 4x -2x + 1 = -1 + 2 + 2x

2) 2x - 2 = 6 - 4 + 4x

3) 5 + 3x = 2 + 3x + 5

Solve all equations and then say

Which equation has 1 solution _______________, 2 solutions _______________, infinitely many solutions ______________**18.**

Solve for x.

A tree is 8 feet tall and cast a shadow that is 6 feet. a. If your child's height is 4 feet, which equation can you use to find the length of his shadow?**A.** 8/5 = 6/x **B.** 4/6 = x/8 **C.** 8/4 = 6/x **D. **x/4 = 8/6

b. What is the length of the shadow?_______________**19.**

Solve the following silmultaneous equations.

2x + 4y = 8

4x - 4y = 6

a. by graphing

b. algebraically **20.**

The cup below is 2/3 full. How much water can the cup hold? _____________

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