Algebra Unit 1 Review

Multi-Step Equations

100

Solving Equations

4x + 3 = 7

What is: 

x = 1

200

Solving Equations

4(6 + 5x) = 124

What is: 

x = 5

300

Solving Equations

-108 = -8(x + 6) - 4

What is: 

x = 7

400

3/2(x-2)-5=19

x=18

500

Solving Equations

-93 = 7(-3k - 8) + 5

What is:

k = 2

Multi-Step Equations w/ Variables on Both Sides

100

Solving Equations

6(6n - 2) = 8n - 40

What is:

n = -1

200

Solving Equations

-4(-2p - 1) = -4 - 8p

What is:

p=-1/2

300

−2(4y + 1) = −8y − 2

What is:

Infinitely Many Solutions

400

Solving Equations

-5(8n - 4) - n = - 16 - 5n

What is:

n = 1

500

Solving Equations

-15 - 5x = 5(-x - 3)

What is:

True statement, infinite solutions

Absolute Value Equations

100

Solving Absolute Value

|6r + 6| = 60

What is:

 r = -11 or r = 9

{-11,9}

200

Solving Absolute Value

|10x - 3| = 27

What is:

x = 3 or x = -12/5 

{3, -12/5}

300

Solving Absolute Value

|3x + 9| -10 = -4

What is:

x = -1 and x = -5

400

Solve: 

|4x-10| = 2|3x + 1|

What is:

x = -6 and x = -0.8

500

Solving Absolute Value, check your answers.

|k + 5| = |k+11|

What is:

k = -8

Conversions

100

Convert 5.5 gallons into milliliters

What is:

20819.8 ml

200

4.  160 fl oz to ? oz

What is:

5 oz

300

Convert 6,000 miles to meters

What is:

9656064 m

400

Convert the height of a person that is 5 feet 8 inches into centimeters.

What is:

68 inches = 172.72 cm

500

Roller coaster A can reach a top speed of 110 feet per second. Roller coaster B can reach a top speed of 85 miles per hour. Which roller coaster has a greater top speed?

What is:

Roller Coaster B

Rewrite equations

100

Rewrite the equation for y.

2x − 4y = 20

What is: 

y=1/2 x − 5

200

 Solve the equation for y.

8x − 3 = 5 + 4y

What is:

y = 2x − 2

300

Solve the equation for y.

3(2x + y) = −4x − y

What is:

y = −5 /2 x

400

Solve the equation for r.

I=Prt

What is:

r = I/Pt

500

Solve for h

S = 2πr² + 2πrh

What is:

h = S/2πr - r