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Unit 1 Quiz

Total questions: 10

Worksheet time: 46mins

Name
Class
Date
1.

Determine which of the following statements is true.

a)

If a number is negative, then it must be an integer.

b)

The set of rational numbers is closed under division.

c)

The set of negative integers is closed for subtraction.

d)

If a number is irrational, then it is real.

2.


 x(a+2)−5=(a+2)x−5x\left(a+2\right)-5=\left(a+2\right)x-5  is an example of which property?

a)

Commutative property of addition.

b)

Commutative property of multiplication.

c)

Associative property of addition.

d)

Associative property of multiplication.

3.


If

 (a+4)=2x−3\left(a+4\right)=2x-3  and  (a+4)=7y+1\left(a+4\right)=7y+1  , then  2x−3=7y+12x-3=7y+1  is an example of which property?  (Enter only the name of the property - do not enter "property of equality." Be sure to spell correctly!)



(a)  

4.

 Solve:  2x+47+2x=3x−3Solve:\ \ \frac{2x+4}{7}+2x=3x-3    Enter only a number as your answer. Do not enter "x="

(a)  

5.

Solve:

 3(x+5)−1−2x=2x+9−(x−5)3\left(x+5\right)-1-2x=2x+9-\left(x-5\right)  

a)

Infinitely Many Solutions

b)

No Solution

c)

14

d)

All Numbers

6.

Solve the equation for p:

 15=9c−6px15=9c-6px  

a)

 3c−52x\frac{3c-5}{2x} 

b)

6p9c+15\frac{6p}{9c+15}

c)

15−9c+6x15-9c+6x

d)

5c+x5c+x

7.

Solve for m:

 am+63=x+m\frac{am+6}{3}=x+m  

a)

 m=x−2am=\frac{x-2}{a}  

b)

 m=x−6a−1m=\frac{x-6}{a-1}  

c)

 m=3x−6a−3m=\frac{3x-6}{a-3}  

d)

 3xa+2\frac{3x}{a}+2  

8.

Three consecutive even integers are such that three times the smallest integer decreased by the greatest is eight more than the middle integer. Find the sum of the three integers.

(a)  

9.

Arnold and Kay make the same trip on different days. Arnold traveled at 12 mph and Kay traveled at 20 mph. The trip took Kay 2 hours fewer than it took Arnold. How many miles did each individual travel?

(a)  

10.

Tex and Wilbur are driving their tractors as fast as they can in opposite directions. Tex is driving his green John Deere tractor at 36 mph. Wilbur is driving his tractor at 24 mph. If they both began driving at 1:30 PM, what time will it be when they first become 30 miles apart?

(a)