Free Printable Graded Classwork 2 - Algebra and Consumer

1.

Factorize $a^2b+ab^2+ab$

a)

$a^2b^2\left(b+a+ab\right)$

b)

$ab\left(a+b+1\right)$

c)

$ab\left(a+b\right)$

d)

$ab\left(ab+1\right)$

2.

Factorise $4xy-6xz$

a)

$x\left(4y-6z\right)$

b)

$2x\left(2y-3z\right)$

c)

$2\left(2xy-3xz\right)$

d)

$4x\left(y-6z\right)$

3.

Factorise $6g^2-3g^3$

a)

$3\left(2g^2-g^3\right)$

b)

$3g\left(2g-g^2\right)$

c)

$3g^2\left(2-g\right)$

d)

$g^2\left(6-3g\right)$

4.

Identify the common factors of

13m²y⁵-39my³-26y²

a)

13my²

b)

13y²

c)

13m²y⁵

5.

Simplify:

−(8 − 2p)

a)

8-2p

b)

-8-2p

c)

-8+2p

d)

-8+6p

6.

Expand and simplify

7(p+10q)+2(6p+7q)

a)

7p+70q+12p+14q

b)

19p+84q

c)

15p+17q

d)

19p+77q

7.

Which of the following expressions is equivalent to 10x + 8?

a)

10x - 8

b)

5x + 5x + 4

c)

5(5x + 3)

d)

2(5x + 4)

8.

Expand using FOIL

(b+2)(3b − 5)

a)

4b-3

b)

3b²+b-10

c)

3b²-2b-10

d)

3b²+10b - 1

9.

Expand using FOIL

(2y-3)²

a)

4y²+12y+9

b)

4y²-12y+9

c)

4x²+2x+2

d)

x²-12x+1

10.

Expand and simplify

$4u-3(2u-5v)$

a)

$-2u+15v$

b)

$2u-15$

c)

$10u-15v$

d)

$-2u+15$

11.

Expand and simplify

$a+3b-(5a-4b)$

a)

$6a-b$

b)

$-4a-7b$

c)

$-4a+7b$

d)

$4a+7b$

12.

Simplify

$7n(3n-8)+4n(n+8)$

a)

$25n-24$

b)

$25n^2–\ 24n$

c)

$24-25n$

d)

$25n^2+24n$

13.

(7y + 4)(8y + 2)

a)

58y² + 48y + 6

b)

65y² + 64y + 8

c)

56y² + 46y + 8

d)

56y⁸ + 46y - 8

14.

Your 3 year investment of $20,000 received 5.2% interest compounded annually. What is your total return?

a)

$23,285.05

b)

$3,285.05

c)

$2,385

d)

$32,285

15.

You invested $1,900 at 4% interest compounded annually for 3 years. How much interest did you earn in 3 years?

a)

$2,372.40

b)

$237.24

c)

$2,137.24

d)

$3,197.60

16.

Emilio borrows $1200 from a bank with 8% simple interest per year. How much will he have to pay back total in 2 years?

a)

$150

b)

$192

c)

$1350

d)

$1392

17.

Dan borrowed $2,000 for 6 months at 12% annual simple interest rate. How much interest is that?

a)

$120

b)

$144

c)

$1,200

d)

$1,440

18.

Jenna borrowed $5,000 for 3 years and had to pay $1,350 simple interest at the end of that time. What rate of interest did she pay?

a)

6%

b)

6%

c)

8%

d)

9%

19.

Each year a car depreciates by 5%. If a car was worth $100,000 at the beginning of January 2014, then its value at the end of December 2014 was

a)

$5,000

b)

$10,000

c)

$90,000

d)

$95,000

20.

A plot of land is valued at $200,000. It appreciates at 5% each year. What will be its value after 2 years?

a)

$210,000

b)

$220,000

c)

$220,500

d)

$20,000

Graded Classwork 2 - Algebra and Consumer

Total questions: 20

Worksheet time: 1hrs 14mins

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