# Algebra, Equations and Word problems

Name: _________________________ Date: _____________

1. Solve. 28x - 2(10x - 0.365) = 7x + 0.035

2. Find the mean and the median.

-2, , , 4, 9

A) Mean 2, Median

B) Mean 10, Median 2

C) Mean 2, Median 2

D) Mean 10, Median

3. Solve. -3(x + 1) = 2(x - 8) + 3

A) -1

B) 1

C) 3

D) 2

4. A cylinder has a radius of 5 in. If the volme of the cylinder is 250 in.3, what is the height of the cylinder? [Hint: The volume of a cylinder is given by V = r2h.]

5. The sum of three consecutive odd integers is 201. Find the integers.

6. Solve. 6(2 - x) = 4x

7. Allen bought 20 stamps at the post office in 37¢ and 20¢ denominations. If the total cost of the stamps was $7.06, how many 37¢ stamps did Allen buy?

A) 15

B) 16

C) 17

D) 18

8. Convert to a percent.

9. Fill in the blank with < or >. 4 ______ -5

10. Graph the solution set of x 7.

11. Solve and graph the solution set. 3x 7x + 20

A)

-5 0

B)

-5 0

C)

0 5

D)

0 5

12. A long-distance phone call costs $0.96 for the first minute and $0.72 for each additional minute or portion thereof. Write an inequality representing the number of minutes a person could talk without exceeding $6.

13. Anna has 12 bills in her wallet, some $5 and some $10. The total value of the bills is $100. How many of each bill does Anna have?

14. Ricardo is 4 years less than twice as old as his sister. The sum of their ages is 20. How old is Ricardo?

A) 8

B) 10

C) 12

D) 14

15. Is 4 a solution to the equation x + 7 = 11?

A) Yes

B) No

16. Solve: - =

17. Find the length of each side of the rectangle so that it has the given perimeter.

18. Translate the following statement into an algebraic equaion. Let x represent the number.

6 times a number is 14 more than that number.

A) 6x + 14 = x

B) 6 = 14x + x

C) 6x = x + 14

D) 6x = 14x

19. Ching leaves San Francisco and travels toward Los Angeles at 50 mi/h. An hour later, Phil leaves Los Angeles and travels toward San Francisco at 60 mi/h. If the two cities are 380 miles apart, how many hours will it take for Ching to meet Phil?

20. An 800 g solution of acid and water contains 128 g of acid. What percent of the solution is acid?

#### Solution Preview

Please see attachment.

Name: _________________________ Date: _____________

1. Solve. 28x - 2(10x - 0.365) = 7x + 0.035

First, get rid of the parenthesis so we will distribute the 2 to get:

28x-20x+.73=7x+.035

Now we need to isolate x on one side- subtract 7x from the left and subtract .73 from the right

X= -.695

2. Find the mean and the median.

-2, , , 4, 9 - Mean is all the numbers added divided by the number of numbers (5) and median is the middle number- The middle number is ¾, means is 2- A

A) Mean 2, Median

B) Mean 10, Median 2

C) Mean 2, Median 2

D) Mean 10, Median

3. Solve. -3(x + 1) = 2(x - 8) + 3

-3x-3=2x-16+3

-3x=2x-16+3+3

-3x-2x=-16+3+3

-5x=-10

x=2- D

A) -1

B) 1

C) 3

D) 2

4. A cylinder has a radius of 5 in. If the volume of the cylinder is 250 in.3, what is the height of the cylinder? [Hint: The volume of a cylinder is given by V = r2h.]

Here we need to plug in what we know

V=250 in.3

250r2h (since we know this is the cylinder volume equation)

250(5)2h- The pie in each side cancels each other out so we can get rid of that

250=25h- Now just solve for h- divide by 25 on each side

H= 10 inches

5. The sum of three consecutive odd integers is 201. Find the integers.

x + (x+2) + (x+4) = 201

3x+6 = 201

3x = 195

x = 65

x+2 = 67

x+4 = 69

Integers- 65, 67, 69

6. Solve. 6(2 - x) ...

#### Solution Summary

The expert examines algebra, equations and word problems.