Writing Equations
Writing Inequalities
Solving Equations
Solving Inequalities
Word Problems
100
Write the word phrase as an equation:
The sum of a number x and 6 is 12
x + 6 = 12
100
Write the word phrase as an inequality:
x is more than 10
x > 10
100
Solve and check the equation:
x + 14 = 32
Check
x + 14 = 32 x + 14 = 32
- 14 -14 18 + 14 = 32
x = 18 32 = 32
100
Solve and graph the inequality:
x + 7 > 19
x + 7 > 19
- 7 -7
x > 12
100
You are allowed to spend at most $75 at the mall for your birthday. Write an inequality where x represents the amount of money you can spend.
x < 75 dollars
200
Write the word phrase as an equation:
The difference of a number w and 7 is the same as 15
w - 7 = 15
200
Write the word phrase as an inequality:
A number x is less than 20
x < 20
200
Solve and check the following equation:
c - 23 = 50
Check
c - 23 = 50 c - 23 = 50
+23 +23 73 - 23 = 50
c = 73 50 = 50
200
Solve and graph the inequality:
k - 10 < 40
k - 10 < 40
+10 +10
k < 50
200
At your favorite clothing store, they are selling T-shirts for $8, plus $12 shipping and handling. Write an equation for the total cost, c, of the number of t T-shirts you buy.
c = 8t + 12
300
Write the word phrase as an equation:
The product of a number 8 and s is 24
8s = 24
300
Write the word phrase as an inequality:
A number w is at least 23
w > 23
300
Solve and check the following equation:
2.3 = q - 3.6
Check
2.3 = q - 3.6 2.3 = q - 3.6
+3.6 +3.6 2.3 = 5.9 - 3.6
5.9 = q 2.3 = 2.3
300
Solve and graph the inequality:
1/2 + p > 2/3
1/2 + p > 2/3
-1/2 -1/2
p > 1/6
300
There are 42 minutes in a class period. If 27 minutes have already passed, write and solve an addition equation to figure out how many m minutes remain in the period.
m + 27 = 42 Check
- 27 -27 m + 27 = 42
m = 15 minutes 15 + 27 = 47
47 = 47
400
Write the word phrase as an equation:
A number n added to 3 equals 15
3 + n = 15
400
Write the word phrase as an inequality:
A number k is at most 27
k < 27
400
Solve and check the following equation:
14x = 154
Check
14x = 154 14x = 154
14 14 14(11)=154
x = 11 154 = 154
400
Solve and graph the inequality:
8x < 72
8x < 72
8 8
x < 9
400
A barge can hold at most 1800 tons. Each shipping container, s, holds 20 tons of cargo. Write and solve an inequality to represent how many shipping containers the barge can hold.
20s < 1800
20 20
s < 90 shipping containers
500
Write the word phrase as an equation:
The sum of 12 and 14 is equal to 43 less than a number w
12 + 14 = w - 43
500
Write the word phrase as an inequality:
Twice a number x is at least 50
2x > 50
500
Solve and check the following equation:
75 = t/5
Check
(75)5 = (t/5)5 75 = t/5
375 = t 75 = 375/5
t = 375 75 = 75
500
Solve and graph the inequality:
b/9 > 5
9(b/9) > (5)9
b > 45
500
You want to qualify for free shipping online. To qualify for free shipping, you need to spend at least $45. You are already purchasing one item for $19. Write, solve, and GRAPH an inequality to represent how much more money, x, you would need to spend for free shipping.
x + 19 > 45
-19 - 19
x > 26 dollars
