Name:                        

 

Date:                           

 

Instructor:                      

 

 

 

Use this template to insert your answers for the assignment.  Please use one of the four methods for showing your work (EE, Math Type,ALT keys, or neatly typed).  Remember that your work should be clear and legible.  

 

 

 

1.  Identify the coefficients, variable terms (with exponents), and constants in the following expression.

 

            2x3+5y2-3z+1

 

 

 

Coefficients:  _____________________

 

Variable terms:  _______________________

 

Constants:  ______________________

 

 

 

2.  Identify the coefficients, variable terms (with exponents), and constants in the following expression.

 

            4z5-8x2-6

 

 

 

Coefficients:  _____________________

 

Variable terms:  _______________________

 

Constants:  ______________________

 

 

 

3.  Combine like terms in the following expression.  (Hint: You can color code the like terms.)

 

            8x2+3x+9-x2+7x-2+y

 

Calculations:

 

 

 

 

 

 

 

 

 

Answer: ­­­­_______________ 

 

 

 

 

 

 

 

4.  Distribute and combine like terms in the following expression.

 

            3(6y2-9+7x-2x2-3x-6)

 

Calculations:

 

 

 

 

 

 

 

 

 

Answer: ­­­­_______________ 

 

 

 

5.  Write and simplify an expression that applies the distributive property.  Include at     least 3 different terms.

 

Calculations:

 

 

 

 

 

 

 

 

 

Answer: ­­­­_______________ 

 

 

 

6.  Simplify the expression using the order of operations.  (Note:  * stands for    multiplication)

 

            (6*2-4) – 3(8-5) * 7

 

               2

 

Calculations:

 

 

 

 

 

 

 

 

 

Answer: ­­­­_______________ 

 

 

 

7.  Simplify the expression using the order of operations. 

 

            (3-5) * -| -22 - 52 * 4|

 

Calculations:

 

 

 

 

 

 

 

 

 

Answer: ­­­­_______________ 

 

 

 

 

 

 

 

8.  Translate the following statement. 

 

            The product of 3 more than a number and 3 less than the same number.

 

Calculations:

 

 

 

 

 

 

 

 

 

Answer: ­­­­_______________ 

 

 

 

9.  Translate and solve the following statement. 

 

            The quotient of 2x and 4 is the same as the product of 6 and 3.

 

Calculations:

 

 

 

 

 

 

 

 

 

Answer: ­­­­_______________ 

 

 

 

10.  Write and translate your own statement using at least two different operations (i.e. - add, subtract, multiply, divide).

 

Calculations:

 

 

 

 

 

 

 

 

 

Answer: ­­­­_______________ 

 

 

 

11.  Simplify the expression.  (Hint:  Careful with the signs)

 

            -6(-42-7)

 

Calculations:

 

 

 

 

 

 

 

 

 

Answer: ­­­­_______________ 

 

 

 

 

 

 

 

 

 

 

 

12.  Simplify the expression.

 

            (-10)2 * -|23-7+12|

 

Calculations:

 

 

 

 

 

 

 

 

 

Answer: ­­­­_______________ 

 

 

 

For problems 13-14, evaluate the expressions using the following values.

 

            x= -3               y= 8                 z= -12

 

 

 

13.     2y+3z

 

              4x

 

Calculations:

 

 

 

 

 

 

 

 

 

Answer: ­­­­_______________ 

 

 

 

14.  4x2-2z2

 

Calculations:

 

 

 

 

 

 

 

 

 

Answer: ­­­­_______________ 

 

 

 

For problems 15-16, evaluate the expressions using the following values.

 

            a= -1               b= 11              c= -7

 

 

 

15.  14a + (7- 6b)

 

         c

 

Calculations:

 

 

 

 

 

 

 

 

 

Answer: ­­­­_______________ 

 

16.  (a2+b2)(b2-c2)

 

Calculations:

 

 

 

 

 

 

 

 

 

Answer: ­­­­_______________ 

 

 

 

For problems 17-20, solve the equation.  Check your answer by plugging it back into the equation.

 

 

 

17.  10x = 9x-15

 

Calculations:

 

 

 

 

 

 

 

 

 

Answer: ­­­­_______________ 

 

 

 

18.  4x-9 = 7x+3

 

Calculations:

 

 

 

 

 

 

 

 

 

Answer: ­­­­_______________ 

 

 

 

19.  -3(8x-2x) = 72

 

Calculations:

 

 

 

 

 

 

 

 

 

Answer: ­­­­_______________ 

 

 

 

20.  9(4y-3)-12y = 4(27+5y)

 

 

 

Calculations:

 

 

 

 

 

 

Answer: ­­­­_______________ 

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