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Program Admissions Math Session 6: Check Up

Total questions: 5

Worksheet time: 10mins

Name
Class
Date
1.

Shawntae is x years old. Her sister Lisa is 6 years older than she is. Their mother is twice as old as Lisa. If the mother is 38 years old, what is Shawntae and Lisa's age?

a)

Shawntae is 13 and Lisa is 19

b)

Shawntae is 19 and Lisa is 13

c)

Shawntae is 32 and Lisa is 16

d)

Shawntae is 16 and Lisa is 32

e)

Shawntae is 10 and Lisa is 16

2.

Which of the following is a solution to the equation 7x2−3=257x^2-3=25   ?

a)

 −227-2\frac{2}{7}  

b)

 −2-2  

c)

 44  

d)

 28\sqrt{28}  

e)

 2121  

3.

Which of the following are valid claims. (Select ALL that apply.)

a)

All squares are parallelograms.

b)

Some parallelograms are rectangles.

c)

No rectangles are squares.

d)

No rhombuses are parallelograms.

4.

In the diagram below,  ∠3\angle3  is 155°155\degree . Which statement is true?

a)

 ∠2\angle2  is  25°25\degree because ∠2\angle2 and  ∠3\angle3 are vertical.

b)

 ∠2\angle2  is  25°25\degree because ∠2\angle2 and  ∠3\angle3 are supplementary.

c)

 ∠6\angle6 is  155°155\degree because ∠3\angle3 and ∠6\angle6 are alternate interior.

d)

 ∠6\angle6 is  155°155\degree because ∠3\angle3 and ∠6\angle6 are corresponding

5.

A positive integer has 5 added to it. The result is then multiplied by 3. Finally, 20 is subtracted from that result. Which of the following sequential steps would reverse that procedure? 

a)

Add 20 to the final number, multiply by 3, and subtract 5 

b)

Add 20 to the final number, divide by 3, and subtract 5 

c)

Add 5 to the final number, multiply by 3, and subtract 20 

d)

Subtract 5 from the final number, divide by 3, and add 20 

e)

Subtract 20 from the final number, multiply by 3, and add 5