Test 7 review

Rational vs Irrational

100

Classify each number as rational or irrational. Then determine if the sum will be rational or irrational. 

a) 3/4  and b)

sqrt9

both are rational so the sum is rational

200

Classify each number as rational or irrational. Then determine if the sum will be rational or irrational. 

a) -5.2  and b) 

-3sqrt5

a is rational, b is irrational, sum is irrational

300

Classify each number as rational or irrational. Then determine if the sum will be rational or irrational. 

a) 4.139857... and b)

pi

Both are irrational, sum is irrational

400

Classify each number as rational or irrational. Then determine if the product will be rational or irrational.

a) 1/3 and b) 

5.bar2

Both are rational, product is rational. 

500

Classify each number as rational or irrational. Then determine if the product will be rational or irrational. 

a)  pi b) 1

a) irrational, b) rational, product is irrational

Simplifying Roots

100

Simplify fully: 

sqrt72

6sqrt2

200

Simplify fully: 

-5sqrt18

-15sqrt2

300

Simplify fully: 

8sqrt(288x^3)

96xsqrt(2x)

400

Simplify fully: 

3sqrt(57x^4)

3x^2sqrt57

500

Simplify fully: 

10ysqrt(75x^5)

50x^2ysqrt(3x)

Which category is best

100

Whole, integer, rational or irrational

44

Whole

200

Whole, integer, rational or irrational

-11/53

Rational

300

Whole, integer, rational or irrational

-2,548

Integer

400

Whole, integer, rational or irrational

2.67634905856553...

irrational

500

Whole, integer, rational or irrational

square root of 225

whole

System of equations

100

Find the solution for the system of equations.

y=2x+8

y=x+6

(-2,4)

200

What is the solution to the system of equations?

y=2x

y=x+6

(6,12)

300

What is the solution to the system of equations?

y=2x-2

y=3x-2

(0,-2)

400

Is (6,2) a solution to this system of equations?

y=2

y=1/3x

yes

500

Is (3,1) a solution to this system of equations?

No

It should be (-3,1)