Trident MATH101 module 1 case and SLP 48559

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QuestionCAse 1

MAT 101 Case 1

Complete the following problems using the Case 1 Answer Template.

The symbol*stands for multiplication.

1. Identify the coefficients, variable terms, and constants in the following expression.

2x3+5y2-3z+1

2. Identify the coefficients, variable terms, and constants in the following expression.

4z5-8x2-6

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

8x2+3x+9-x2+7x-2+y

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

3(6y2-9+7x-2x2-3x-6)

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

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

(6*2-4) – 3(8-5) * 7

2

7. Simplify the expression using the order of operations.

(3-5) * -| -22- 52 * 4|

8. Translate the following statement.

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

9. Translate and solve the following statement.

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

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

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

-6(-42-7)

12. Simplify the expression.

(-10)2 * -|23-7+12|

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

x= -3 y= 8 z= -12

13. 2y+3z

4x

14. 4x2-2z2

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

a= -1 b= 11 c= -7

15. 14a + (7- 6b)

c

16. (a2+b2)(b2-c2)

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

17. 10x = 9x-15

18. 4x-9 = 7x+3

19. -3(8x-2x) = 72

20. 9(4y-3)-12y = 4(27+5y)

 

MAT 101 SLP 1

Complete the following problems using the SLP 1 Answer Template.

Write the final answer in the terms being asked such as dollars/cents, degrees, tickets, etc.

1. Companies often sell products at or below cost in order to draw in and retain customers. Redman Manufacturers is tracking 5 items from last month’s sales. On item #1 they make $15; item #2 loses $4; item #3 makes $9; item #4 loses $6; and item #5 makes $12. Last month’s sales are as follows:

Item #1: 90 units sold

Item #2: 103 units sold

Item #3: 78 units sold

Item #4: 45 units sold

Item #5: 164 units sold

Write, simplify, and, calculate the profit or loss for the month.

 

2. When principal (P) is invested at a rate of (R) over a period of time (T) in years, simple interest (I) is earned. The simple interest is calculated by multiplying the principal, rate, and time. Write an equation to represent this scenario.

 

3. Using the formula above, calculate the interest earned for an investment of $15,000 at a rate of 5% over 10 years.

 

4. The perimeter of a rectangle is P=2L+2W where L is the length and W is the width. Find the perimeter when L=15 and W=25. Show your work.

 

5. The formula for a triangle is A=bh. If the area of a triangle is 36 and the height is 9, what is the base?

 

6. The formula F=C+32 relates Celsius and Fahrenheit temperature. If the current temperature is -20°C, what is the temperature in Fahrenheit?

 

7. A triangle has sides measuring x+7, 2x+3, and 5x-6. Write and simplify an expression that represents the perimeter of the triangle.

 

8. Floral Solutions is calculating their profits for the previous month. Profit is determined by revenue minus the cost. The cost of producing floral arrangements is represented by the equation C= 18+35x and the revenue is represented by the equation R=80x+12.

a. Find the simplified expression that represents the profit.

b. Find the profit made when 110 arrangements are sold.

 

9. Jamie sold her house for x dollars. The real estate agent received a 5% commission and Jamie received $197,125. Write and solve an equation to determine the selling price of the house.

 

10. Dan works on commission and earns 4% on all of his sales. In month 1, he sold $25,000; month 2 was $17,000; and month 3 was $34,000. 18% of his total earnings are taken out for taxes. Calculate the total net (after taxes) pay Dan earned over the 3 months. Write and simplify an expression that represents this scenario.

 

    • 8 years ago