Equations

Equations

100

List the inverse for * addition * subtraction * multiplication * division

* addition - subtraction * subtraction - addition * multiplication - division * division - multiplication

200

x - 3 = 11 what is the first step for this problem?

Add 3 to both sides

300

2x+3x+4=6

x = 2/5

400

27x - 3(x-6) = 6

x = -0.5 or x = -(1/2)

500

7x+15 = 71, 7 - y = 9, what is the product of x and y?

x = 8, y = -2, product = -16

Absolute Value/Fraction Equations

100

|x|=17 what is the value of x?

{-17,17}

200

|x-7| = 2 solve for x

{9 , 5}

300

|x-10|+3 = 4 solve for x

{11,9}

400

solve for m: 2/5 = m - (1/5)

m = 3/5

500

solve for p: (p+2)/3 = 7/5

p = 11/5

Literal Equations

100

a+2c = g, c = ?

c = (g-a)/2

200

3x+2y = 1, y = ?

y = (1-3x)/2

300

I=Prt , r = ?

r = (I/Pt)

400

t = ghr , r = ?

(t/gh)

500

y = 1/4xz, z = ?

4y/x

Word Problem

100

14 less than twice a number is 30

2x - 14 = 30, x = 22

200

If 2 more than twice a number is 16, find the number

2+2x=16, x = 7

300

Together, a burger and fries cost $12. Find the price of each if the burger costs 3 times as much as the fries

b+f = 12 , b = 3f, f = 3, b=9

400

Joe at 4 cookies. Mary at 7 cookies. The total price for all the cookies was $33. What is the cost of each cookie?

4c + 7c = 33, 11c = 33, c = 3

500

Laura spent a total of $66 for manicure and pedicure. Pedicure cost twice as much as manicure. What is the cost of manicure? What is the cost of pedicure?

m+p = 66, p = 2m, m = 22, p = 44

More Equations

100

3n − 5 = −8(6 + 5n)

n=-1

200

2(4x − 3) − 8 = 4 + 2x

x=3

300

24a − 22 = −4(1 − 6a)

no solution

400

−3(4x + 3) + 4(6x + 1) = 43

x=4

500

−5(1 − 5x) + 5(−8x − 2) = −4x − 8x

x=-5