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# 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

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
250r2h (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.

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