1. A

2. B

3. C

4. D

A. The profit a business makes is found by subtracting the cost to produce an item C(x) from the amount earned in sales E(x). The cost to produce and the sales amount earned could be modeled by the following equations, where x is the number of items produced.C(x) = 100x2 + 500x – 300E(x) = 150x2 + 450x + 200Find an equation that models the profit.

2-24 Honors Algebra Warm-up

B. What does this equation predict the profit would be if 30 items were produced and sold?

A. Find 6y(4y2 – 9y – 7).

Think = 6y(4y2) – 6y(9y) – 6y(7)

= 24y3 – 54y2 – 42y

A. A

B. B

C. C

D. D

B. Find 3x(2x2 + 3xy + 5y2).

Answer: 6x3 + 9x2y + 15xy2

Simplify Expressions

A. Simplify 3(2t2 – 4t – 15) + 6t(5t + 2).

Answer: = 36t2 – 45

1. A

2. B

3. C

4. D

B. Simplify 5(4y2 + 5y – 2) - 2y(4y -3).

Answer: 12y2 + 31y – 10

Matt’s grandmother left him $10,000 for college. Matthew puts some of the money into a savings account earning 3% interest per year. With the rest, he buys a certificate of deposit (CD) earning 5% per year.A. If Matt puts x dollars into the savings account, write an equation for the total amount of money T(x) Matt will have saved for college after one year.

B. If Matt puts $3000 in savings, how much money will he have in one year?

A. Solve b(12 + b) – 7 = 2b + b(–4 + b).

Polynomials on Both Sides

Answer:

Check b(12 + b) – 7 = 2b + b(–4 + b) Original equation

Simplify.

Polynomials on Both Sides

Multiply.

Subtract.

A. A

B. B

C. C

D. D

B. Solve x(x + 2) + 2x(x – 3) + 7 = 3x(x – 5) – 12.

A.

B.

C.

D.

7-4 HW: pgs. 386 – 387 #11-27odd, 29-34

29. 1.8n2 – 42n +86030. 635 outdoor 31. Length = -2x + 60

Width = -2x + 40Girth = -2x + 80

32. -4x + 140 ≤ 108x ≥ 8 inches

33. 19 inches34. 5xy2 and 3x2 y do not have the same variable with the same exponents.