Equations & Word Problems

Word Problems

100

The larger of two numbers is four more than the smaller number. If the sum of the numbers is 74, find the numbers. 

35,39

200

The larger of two numbers is two more than five times the smaller number. If the sum of the two numbers is 80, find both numbers. 

13,67

300

The larger of two numbers is seven less than three times the smaller number. If the sum of the number is 61, find the numbers. 

17,44

400

The length of a flat screen TV is 5 inches less than 3 times its width. If the perimeter of the TV is 150 inches, find the dimensions. 

20in, 55in

500

Olivia and Camille went clothes shopping. Camille spend $19.40 less than twice what Olivia spent. In total, they spend $272.35. Find the amount each girl spent. 

Olivia spent $97.25 and Camille spent $175.10

Absolute Value

100

|x| = 9

x = {-9,9}

200

|6c - 3| = 21

c = {-3,4}

300

|7m|  + 4 = 25

m = {-3, 3}

400

5|2n + 8| + 3 = 33

n {-7,-1}

500

-5|4p + 4| = -40

p = {-3,1}

Multi-Step Equations

100

6(x + 3) - (x + 4) = -11

x = -5

200

-8(n - 4) = n - 40

n = 8

300

7(y - 5) + 3y = 10(y + 1) 

Ø

400

-5(k + 2) = 13 - (k - 1)

k = -6

500

4(2x + 7) = 12 - 2(10 - 2x)

x = -9

Literal Equations

100

 A=lw 

Solve for w

A/l = w

200

d=rt

Solve for t

d/r = t

300

m=c-s

Solve for c

m+s=c

400

D = m/v

Solve for m

Dv=m

500

A = pir^2

Solve for r

r= sqrt(A/pi

Random

100

-2(4x + 3) - (x - 7) = 46

x= -5

200

|x| = 14

x = {-14,14}

300

|8m - 8| = 40

m = {-4,6}

400

23 - 2(5a + 9) = 5(2a - 11)

a = 3

500

|m/7| + 4 = 5

m = {-7,7}