Semester Review

Real Number System and Square Roots

100

Which of the following numbers is irrational? 2.5656..., 2.45678..., 1/3, -8

 2.45678...

200

 Two consecutive integers between which  √10 will fall

 3 and 4.

300

Which is the greater of these real numbers: √4 or 2.5

 2.5.

400

Give an example of a number that is Rational and an Integer

any positive or negative whole number

500

what are the classifications of

sqrt17

and 

pi

 irrational numbers

Comparing and Ordering Numbers

100

Which number is larger?    

 230%  or 2.3 x 10³

2.3 x 10³

200

Which is smaller 

sqrt 25  or 25

sqrt25

300

put in order from least to greatest

    2²        2%         2        

2%     2    2²

400

Put in order from greatest to least

1.5%         -1.5       0.15          1.5 x 10^-5

0.15,  1.5%,  1.5 x 10^-5,  -1.5

500

Put in order from least to greatest

5¹       

 0.502        

5%     

0.52     

10/5

5%   

0.502    

0.52      

10/5

5¹ 

Consumer Applications

100

Jan bought a sweater that cost $12.95.  Her state has a sales tax rate of 5.4%.  How much is the sales tax she has to pay?  (round up to next cent)

$.70

200

Lora took out a simple interest loan to purchase a new sofa.  She has two years to pay back the loan at 12% interest.  If she borrows $2,000, how much is the interest?

$480

300

In 1982, a beginning teacher's salary was $9,000 for their first year.  In 2018, it was $42,000.  What is the percent of change?

367%  

or 

366 2/3%

400

The Kerwood family went to Applebee's to celebrate Allison's birthday.  The total for their meal was $58.65.  If they leave the server a 15% tip, how much will the total cost be (before taxes)?

$59.80

500

Marilyn went shopping at Target in the after Christmas sales.  All Christmas merchandise was 50% off.  The Christmas items she purchased would have cost $205.60 before the Christmas.  How much did they cost with the 50% discount?

$102.80

Simplifying Expressions or Equations

100

12r - 8 - 12

What is 12r - 20?

200

-4(-8x - 8)

What is 32x + 32?

300

-3x - 9 + 15x

What is 12x - 9?

400

2(2n-5)-3+4n

What is 8n-13

500

-7(n + 3) - 8(1 + 8n)

What is -71n - 29?

Solving Equations

100

Solve for x. 2x-6=14

 x=10.

200

Solve for x, 2x+3x-5=15

 x=4

300

Solve for x, 2(x-4)=10

 x=9.

400

Solve for x, 2x+5=x-7

x = -12

500

Solve for x, 1/2(3x+3/4)=3/4

1/2(3x+3/4)=3/4

x= 0.25    or 

1/4

Evaluating Expressions

100

Evaluate 2x   for x = -2                

-4

200

Evaluate x²y    for x = -3, y=-3

-27

300

Evaluate for a = 4 and b = 2

a*4b+a/b

34

400

Evaluate the expression for x=-2, y=72 and z=0.5

sqrt yz+x^3

-2

500

Evaluate for b = -6 and t = 4

3(b + 9t) - 8t + 7b

16