Algebra-Chapters 1 & 2 Review

Solve it!

100

Solve.  -3+4x=17

x=5

200

Solve.  -2x+7-4=1

x=1

300

Solve.  3x-10=-7x-10

x=0

400

x=15/5-10(3-7)²

x=-157

500

Solve.  3(4x-2)=7x+4+5x

No Solution

Proportions

100

Solve. 3/7=c/2

c=6/7

200

Solve.  2/(x-1)=3/x

x=3

300

Solve 5/(n-6)=8/(n-4)

n=28/3

400

Solve.   6/5=(b+4)/(b-1)

b=26

500

If it takes 22 minutes to run 3.1 miles, at this rate about how many minutes would it take to run 5 miles? Round to the nearest tenth.

35.5 minutes

Relations & Functions

100

Represent the following set of ordered pairs as a table.

{(-2,4), (3,6), (4,-1), (5,0)}

Check each groups' table.

200

If f(x)=x²-5x, evaluate f(-7).

f(-7)=84

300

Explain how to determine if a relation is a function.

Each input has ONLY one output. The answer may also describe the vertical line test.

400

Express the following relation as a mapping diagram and state whether it is a function.

{(-1,4),(3,7),(2,-1),(5,-3),(4,0)}

Check the diagram. The relation IS a function because...

500

If f(x)=x³-4 and g(x)=2x+5, evaluate f(2)-g(0).

f(2)-g(0)=9

Solve

100

Solve.  (r+9)/8=2

r=7

200

Solve for x.  -2x+4y=12

x=2y-6

300

Solve.  (2y)/3+4=8

y=6

400

Solve.  7x-4+3x=2(-2x-3)

x=-1/7

500

Three out of every 7 students wear glasses or contacts. If there are 245 students, about how many of them wear glasses or contacts? SET UP A PROPORTION to solve.

105 students

Tax, Discounts, & More

100

If a radio is priced at $36 and the store is having a 20% off sale, what is the pre-tax price of the radio?

$28.80

200

If a board game is priced at $15 and there is a 7% sales tax, what is the cost of the board game including tax?

$16.05

300

What is my room number?

Room 9

400

Draw a graph that shows that the price of an antique table has slowly increased in value over time. Be sure to correctly label each axis.

Check the graphs

500

If a pair of sweatpants is priced at $35, how much would they cost after a 15% discount and a 7% sales tax?

$31.83