Unit 1 Algebra Test Review!

Classifying Numbers

100

True or False: An example of a real number is pi!

What is True (pi is irrational, and all irrational numbers are real)

200

What are two ways you could classify the number: 4.5

What is rational & real (we can write 4.5 as a fraction: (9/2)

300

Name all of the ways you can classify the number: 6

What is natural, whole, integer, rational, real

400

True or False: All rational numbers are whole.

What is False

500

Determine if the following statement is true or false. If true, explain why. If false, provide a counterexample: All whole numbers are integers.

What is True. Whole numbers are natural numbers and the number "0," integers are natural numbers, "0" and negative numbers; so any whole number would also be an integer.

Solving Equations & Proportions

100

Solve:

p-11=24

What is 35

200

8(x - 2) = 20

What is x=4.5

300

6t + 1 = -3t + 12

What is t=(11/9) or 1.2222...

400

Solve:  6/(t+1)=(-2)/(t-4) 

What is t= 2.75

500

Solve: 

 ( 2/4x)=(1/2x-1) 

What is No Solution

Literal Equations

100

Solve for t:  t + s = v 

What is: 

t = v - s

200

Solve for A:  A/B=C 

What is: A = BC

300

Solve for w:  (w+2)/x=y 

What is 

w=yx-2

400

Solve for w:  2(l+w)=h 

What is 

w=h/2-l

500

Solve for v: 4v-2c=xy 

What is 

v=(xy+2c)/4

Word Problems

100

Twice a number is 500 more than six times the number. What is the number?

What is -125 

200

To become a member of an ice skating rink, you have to pay a $30 membership fee. The cost of admission to the rink is $5 for members and $7 for nonmembers. After how many visits to the rink is the total cost of members, including the membership fee, the same as the total cost for nonmembers?

What is 15 visits.

300

You and 3 of your friends purchase Cedar Point tickets for $30 each, and you spend $24 each at the park for drinks and food. Food costs each person $12. How much money was spent on drinks?

What is $48

400

The perimeter of a triangle is 73 inches. If the second side is 5 inches longer than twice the first side, and the third side is 4 inches less than three times the first side, how long is each side?

What is 12 in, 29 in, 32 in 

500

Find three consecutive even integers such that the sum of the smallest and twice the second is 8 more than the third.

What are 4, 6, 8 

How many solutions? (one, none, or infinate)

100

-5x+8+2x-1=-3x+7

What is infinate solutions

200

 -18x-4=15 

What is one solution

300

 -8(2x-5)=4(-4x+10) 

What is infinate solutions

400

 -8(x+5)+2=-8x-20 

No solution

500

 3x-4(2x-1)+2=6x+10 

What is one solution?