7th Grade Math!!

Factors and Multiples

100

Find all factors for 18

1, 2, 3, 6, 9, 18

200

What are the first 5 multiples of 17

17, 34, 51, 68, 85

300

Fine the prime factorization for 96, and express in exponential notation

2⁵ x 3

400

What is the prime factorization for 600, expressed in exponential notation?

2³ x 3 x 5²

500

The length, width and height of an open rectangular container are 90cm, 45cm, and 30cm.  

If identical cubes are placed inside this container to fill it completely, what is the greatest possible length, in cm, for each cube?

15cm.

Early Algebra

100

Simplify:  3q² x 5q

15q³

200

12x² ÷ 4

3x²

300

When x=3 and y=5, evaluate:

4x ÷ y²    Express your answer as a FRACTION in simplest form.

12/25

400

if x= -2  y= -8 and z= 1/4, evaluate:

(xz - x/y)²

Express your answer a a FRACTION in simplest form.

9/16

500

2y³ - (2x)³= ?

When x=3 and y=5

34

Simplifying Expressions

100

simplify:  2 x 3w + 8w

14w

200

-5m + (-4) x 3m

-17m

300

-3(2x + 7)

-6x - 21

400

2(8 + 3q) + 3(4q + 5)

31 + 18q

31+ 18q

500

5(-6x + 2y) + 3(4y + 3x)

Simplify and tell what the coefficient of x is:

-21

Factor the Expression

100

factor:  18y - 27xy

9y(2-3x)

200

3w(2x + y) + (2x + y)

(2x +y) (3w + 1)

300

3 + 4t + 6s + 8st

(3 + 4t) (1 + 2s)

400

2c(9a + 2b) - 3d(-9a - 2b)

(9a + 2b) (2c + 3d)

500

-15mp - 20np +9mq + 12nq

(3m + 4n) (-5p +3q)

WILD CARD

100

Solve for z:

-8(7- 3z)= 64

z = 5

200

243 X 0.87

211.41

300

Find the sum of 8x + 15y and 6x - 10y

14x + 5y

400

Solve for b

5/4 - 3/10b = -23/20

b = 8

500

What is the perimeter of Triangle ABC = 

if side A = (3x +4)cm  

side B = (4x -5)cm

 and side C = (x + 13)cm  ?

Give answer in factored form. (Factorize your result)

4(2x +3)