Algebra I - Chapter 1 Review

Solving Simple Equations

100

x-5=-9

What is x=-4

200

x+36=-66

What is x=-102

300

2.6=-0.2t

What is t=-13

400

4x=12

What is x=3

500

(-n/5)=-2

What is n=10

Solving Multistep Equations

100

4y+11=-16

What is y=-9

200

6=1-b

What is b=-5

300

-4(2z+6)-12=6

What is z=-5

400

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

What is x=18

500

6=(1/5)w+(7/5)w-4

What is w=25/4

Solving Equations w/ Variables on Both Sides

100

3n-3=4n+1

What is n=-4

200

5(1+x)=5x+1

What is Infinitely many solutions

300

3(n+4)=1/2(6n+4)

What is No Solution

400

2(y-4)=-4(y+8)

What is y=-4

500

3(2a-2)=2(3a-3)

What is infinitely many solutions

Absolute Value

100

abs(x-5)=3

What is x=2, 8

200

abs(2x+6)=4x

What is x=-1, 3

300

−2 ∣5w − 7 ∣ + 9 = −7

What is w= -1/5, 3

400

∣x − 2 ∣ = ∣4 + x

What is x=-1

500

The minimum sustained wind speed of a Category 1 hurricane is 74 miles per hour. The maximum sustained wind speed is 95 miles per hour. Write an absolute value equation that represents the minimum and maximum speeds.

What is abs(v-84.5)=10.5

Rewriting Equations and Formulas

100

Solve for m. y=mx+b

What is m= (y-b)/x

200

Solve for y. 2x − 4y = 20

What is y=1/2x-5

300

Solve for y. 8x − 3 = 5 + 4y

What is y=2x-2

400

Solve for y. a = 9y + 3yx

What is y=a/(9+3x)

500

The formula F =9/5 (K − 273.15) + 32 converts a temperature from kelvin K to degrees Fahrenheit F. a. Solve the formula for K. b. Convert 180°F to kelvin K. Round your answer to the nearest hundredth.

What is a. K=5/9(F-32)+273.15 b. about 355.37 K