MATH TOURNAMENT 8thA

RED

100

Simplify the following expression:

2a + a + 4a=

7a

200

Find two consecutive natural numbers that √11 lies between.

3 and 4

300

Simplify the following expression:

7x² - 8 + 12x - 4x² -9=

3x² + 12x -17

400

If x = 2 and v = 3x, then the value of 

(2v − 5) − (2x − 5) is:

8

500

Multiply

4x⁹y⁸ (-2x)(-5y⁴)=

40x¹⁰y¹²

BLUE

100

Simplify

a ^. a^{4 =}

a⁵

200

What is the value of v?

-5 + 4v = 19 

v = 6 

300

Translate this sentence into an equation.

48 is the product of Constanza's height and 3.

Use the variable c to represent Constanza's height.

48 = 3c

400

Simplify

√50 + √18=

8√2

500

Simplify

-7w -2 (-3x + 7w) + 5x=

-21w + 11x

ORANGE

100

Solve

-4 ( 0.4 )=

-1.6

200

Translate this sentence into an equation.

Pablo's height increased by 8 is 42.

Use the variable p to represent Pablo's height.

p + 8 = 42

300

(-2b²a)^{4 =}

16b⁸a⁴

400

Simplify

(a²bx³ y⁸) /(a² x⁷y³) =

 by⁵ /x⁴

500

Find the cubic root of (-343)

-7

GREEN

100

Solve

15b⁴/5b^4 =

3

200

Find the value of w

63 = 3w

w = 21 

300

Use the distributive property to remove the parentheses.

(-1 + 4u + 4x) (-3)=

3 - 12u -12x

400

Simplify

3/7 u + 1/2 u=

13/14u

500

Solve for x

3 ( x + 6 ) + 2x = -2

x = -4

WHITE

100

Simplify

9^{4 .} 9^{4 =}

9⁸

200

Multiply

-2w^{6 .} 8w=

-16w⁷

300

Simplify

2 ( 3y + 6 ) -10y=

-4y + 12

400

A library has 3.2×10⁵ books, this year it received 1.5×10⁴ from a charity event. How many books does the library have now?

3.35×10⁵

500

Twice a number increased by 24, the result is 60. What is the number?

18