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Homework & Review

Pre Algebra Review
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Review 1

1) Solve the following equation for y: 2x - 3y = 18

2) Evaluate : when x = -2

3) Solve for x: 5x + 12 = 2( 2x + 7)

4) A Biology textbook costs $ 86 including tax. Find the price of the textbook before taxes if the tax rate is 9%.

5) A car rental company charges $29.95 per day for a compact car plus $0.25 per mile driven

a) Suppose you rent the car for one day and you drive x-miles, write an algebraic representation for the cost, C, of the car.

b) What is the cost of the car if you drive it 65 miles


6) Solve for x: |top|

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Review 2:

1) Given the following function:

a) Find f(0)

b) Find f(-2)

2) Find the slope of the line passing thru (2,3) and (0,1)

3) Graph the following equation: 2x + y = 4 using the intercepts method ( Show work)

4) Find the equation of the line having a slope of 2 and passing thru the point (2,1)

5) Find the equation of the line passing through ( -1, -3 ) and ( 2, 6 )

6) Solve the following system of linear equations:

3x + 10y = 1
x + 2y = -1 |top|

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Review 3:

1) Simplify :

2) Perform the indicated operations:

3)

4) Simplify :

5) Simplify :

6) Simplify :

7) Factor completely :

8) Factor : :

9) Factor Completely :

10) Factor Completely :

11) Factor : |top|

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Review 4:

1) The length of the diagonal of a square box is 22 inches. Find the dimensions of the box.

2) Given the following function:

a) Find the x-intercept
b) Find the y-intercept
c) Find the zeros of the function


3) If

a) Find f(2)
b) Find f(-1)
c) Find the vertex

4) Find the domain of the following functions:

5) A 20-ft cable is attached from the top of a pole to the ground 12-ft away from the base of the pole. Find the height of the

|top|

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Review 5:

1) Factor Completely :

2) Factor Completely : ab - 6a + 2b - 12

3) Factor :

4) Factor Completely :

5) Factor :

6) Factor Completely :

7) Factor : |top|

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Review 6:

1) Solve the quadratic equation :

2) Given the following function :

a) Find the zeros of the function ( use the quadratic formula )
b) Find the x-coordinate of the vertex

3) Simplify ( Reduce to the lowest term ) :

4) Given the following function:

a) Determine whether the parabola opens upward or downward. Why?
b) Find the vertical intercept

5) Solve the following quadratic :

6) The sides of the larger rectangle is 80m by 60m . If the area of the smaller rectangle is 1800 m2, find the dimensions of the smaller rectangle

7) The product of two consecutive odd number is 255. Find the two numbers. |top|

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Review 7:

1) Solve for x :

2) Solve :

3) Rationalize the denominator :

4) Simplify :

5) Simplify :

6) Simplify :

7) Solve for x :

8) Solve for x :

9) Solve for x :

10) Simplify :

11) Rationalize the denominator : |top|

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Pre Algebra Review

1. Perform the indicated operations:

a)

b)

c)

d)

e)

f)

2. Evaluate :

a)

b)

c)

d)

3. Find the area of a rectangle that is 6.9ft by 11.2ft.

4. Linda wants to carpet a rectangular room in her apartment that is 10.5ft by 14.3ft. If the carpet she wants costs $5.50 per square foot, how much will it cost her to carpet the whole room.

5. If , find F when C= 43

6. ...a) Express in decimal : 3/5

b) Express 0.00745 in percent notation.

c) Express 12.25% in decimal notation.

7. Solve the following :

a) 3 + x = 10

b) 2x -5 = 11

c) -5x + 1 = 6

8. Translate into math : Three times the sum of a number and five

9. ...a) What is 20% of 160?

b) What percent of 80 is 20?

10. Evaluate :

a) when x = -2

b) if a = -1 and b = 2

11. ..a) -24 + ( 4 + 8 ¸ 4 * 2 + 7) ¸ 3 - 3(4 - 9)

b) Solve for x : 1.5( 4 - x ) = 1.3( 2 - x )

12. Solve the following equation for x:

13. Given the following formula : y = 2x2 - 4x + 3, complete the following table :

x -3 -1 0 2 4 5
y            

 

 

 

14. Keisha rents a car for $25 per day plus $0.08 per mile. Michelle rents a similar car from a different rental agency for $35 per day plus $0.05 per mile. Find the rental charges if they each drive 300 miles.

15. At a one day 20% off sale, Tan purchased a hat for $ 15.99. What is the regular price of the hat ?

16. If P = 2L + 2W, solve for W.

17. Simplify : 24 + ( 4 + 8 ¸ 4 * 2 + 7) ¸ 3

18. Perform the indicated operations :

a)

b) 8 - 5 + 4 - (-3)

c)

d)

19. .a) Factor :

b) Evaluate : if a = -1 and b = 2

c) The perimeter of a rectangle is P = 2L + 2W. If P = 85 feet and W = 16 feet, find L.

20. Solve the following :

a)

b) |top|

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H.F. LaGuardia Community College, The City University of New York, 31-10 Thomson Avenue, Long Island City, NY 11101
Contact: Professor Hendrick Delcham, hdelcham@lagcc.cuny.edu
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