Solving Linear Equations

Simple Equations

100

Solve x-3=-5

-2

200

Solve 1.3z=5.2

4

300

Solve 5.2=a-0.4

-5.6

400

In the 2016 Olympics, Usain Bolt won the 200-meter dash with a time of 19.78 seconds. Find his average speed to nearest hundredth of a meter per second. 

10.11 meters per second

500

On January 22, 1943, the temperature in Spearfish, South Dakota, fell from 54^oF degrees at 9: am to -4^oF at 9:27 am. How many degrees did the temperature fall?

58^oF

Muti-step Equations

100

Solve 2.5x-13=2.

x=6

200

Solve -12=9x-6x+15.

x=-9

300

Solve 2(1-x)+3=-8

x=6.5

400

How many miles do you need to bike on Friday so that the mean number of miles biked per day is 5?

11 miles

500

You have 96 feet of fencing to enclose a rectangular pen for your dog. To provide sufficient running space for your dog to exercise, the pen should be three times as long as it is wide. Find the dimensions of the pen.

36 feet by 12 feet

Variables on Both Sides

100

Solve 10-4x=-9x

x=-2

200

Solve 3(3x-4) = 1/4(32x+24)

x=18

300

10(g+5) = 2(g+9)

g=-4

400

Solve 12y+6 = 6(2y+1)

Infinitely many solutions

500

A boat leaves New Orleans and travels upstream on the Mississippi River for 4 hours. The return trip takes only 2.8 hours before the boat travels 3 miles per hour faster downstream due to the current. How far does the boat travel upstream? 

7 miles per hour upstream

Absolute Value

100

Solve the equation|x-4|= 6

x=10 and x= -2

200

Solve the equation |3x+1| = -5

No solution

300

Solve |3x+9| -10 = -4

x=-1 and x=-5

400

Solve -2|5x-1|-3 = -11

x= 1 and x=-3/5

500

Solve |2x+12| = 4x

x=6

Equations and Formulas

100

Solve the literal equation 3y +4x = 9 for y. 

y= 3 - 4/3x

200

Solve the literal equation y= 3x+5xz for x. 

x = y/3+5z

300

Solve the literal equation 3y - x = 9 for y.

y = x + 5/2

400

The formula for the surface area S of a rectangular prism is S = 2lw +2lh +2wh. Solve the formula for the length l. 

L = S-2wh/2w+2h

500

You own a rectangular lot that is 500 feet deep. It has an area of 100,000 square feet. To pay for a new water system, you are assessed $5.50 per foot of lot frontage. How much are you assessed fir the new water system?

$1100