Solving Equations :)

Multi-Step Equations

100

Solving Equations

4x + 3 = 7

x = 1

200

Solving Equations

4(6 + 5x) = 124

x = 5

300

Solving Equations

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

x = 7

400

Solving Equations

172 = 5(4a + 6) + 2

a=7

500

Solving Equations

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

k = 2

Multi-Step Equations w/ Variables on Both Sides

100

Solving Equations

5n - 2 = 8n - 14

n = 4

200

Solving Equations

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

p = 0

300

Solving Equations

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

n = -1

400

Solving Equations

5x + 5 + 4x = 4 - 3x + 6

x= 5/12    or    x= 0.41667

500

Solving Equations

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

n = 1

Literal Equations

100

ax – 13 = 11

x= 24 / a

200

bx + g = 14

x= (14 - g) / b

300

(x/a) +g=-8

x= a(- 8 - g)

400

(x/y)-2p=10

x= y (10 + 2p)

500

(y/x) + r = v

x= y / (v - r)

Rates, Ratios, and Conversions

100

Which one is the better buy? 

6 bagels for $3.29 or 8 bagels for $4.15

3.29÷6=0.55

4.15÷8=0.52

8 bagels for $4.15

200

How many pounds are in 116 ounces? 

We know that there are 16 ounces in a pound. Use this to help with the conversion.

7 lb 4 oz 

300

There are five friends that went to dinner. If the total bill comes to be $32.50, how much does each friend pay? 

To split it equally between 5 friends, divide the total cost by the number of friends:

Therefore, each friend pays $6.50

400

The formula for the area of a triangle is A = 1/2 base times height. A = 30 cm squared, and the base is 12 cm (both given). Let h equal the height. Solve for h.

30=1/2(12)h

30=6h

30÷6=6h÷6

5=h

500

Multiply the -4 by 2.4d on the right side. Then, isolate the variable by dividing each side by -9.6. Solve for d.

−4.8=−4(2.4d)−4.8=−9.6d

−4.8÷9.6=−9.6d÷−9.6

1/2=d

One-Step Equations

100

4 = -8 + x

x= 12

200

x + 12 = 0

x= -12

300

3 = -2 – x

x= -5

400

5x = -80

x= 16

500

16 = x/2

x= 32