Algebra Practice R

Proportions

100

x/4=3/2

x=6

200

2/5=5/x

x=25/2

300

-3/x=2/10

x=-15

400

(x+1)/2=3/4

x=1/2

500

(2x+2)/5=(x-3)/5

x=-5

Equations

100

-2(3x-5)=70

x=-6

200

-4(3-2x)=3(5x+3)

x=-3

300

-5(4x-3)+3=6(3-3x)-2x

infinite solutions

400

-5(7x+10)+20=3(-6x-10)

x=0

500

7(4-2x)+4x=3(-3x+1)-x

no solutions 

Linear Equations

100

Find the slope 

(2,-4) and (3, -2)

m=2

200

Find the slope 

(-3,4) and (2,-5)

-9/5

300

Write the equation in slope intercept form

(3, -2) , slope=2/3

y=2/3x-4

400

Write the equation of the line perpendicular to y=2x-4 through the point (6, -2)

y=-1/2x+1

500

Write the equation of the line through 

(-3, 5) and (1, 3)

y=-1/2x+7/2

Functions

100

What is the domain and range?

Domain is the set of x values and range is the set of y values

200

What shape does the parent function x² look like?

U shape

300

Does a circle pass the vertical line test?

no

400

Evaluate f(2)

f(x)=-2abs(2x-6)

f(2)=-4

500

Evaluate at f(-1)

f(x)=-x^2+2x-3

f(-1)=-6

Word Problems

100

2 pizzas feed 5 people. How many pizzas feed 15 people?

6 pizzas

200

The ratio of dogs to cats in a pet store is 5:3. If there are 25 dogs, how many cats are there?

15 cats

300

You get paid $55 for working for 4 hours. How much do you get paid per hour?

$13.75

400

A car can drive 28 miles per gallon. How many gallons of gas does it need to drive 90 miles?

3.21 gallons

500

It takes one and a half hours to bike 25 miles. How many miles can you bike in 50 minutes?

13.89 miles