Solving Equations and Inequalities
Variables to write expressions
Write and solve equations
Inequalities
Independent and Dependent Variables
100
Jerijah scored 87 points on his science quiz. He scored 2 more points than Sam. The equation p + 2 = 87 gives the number of points, p, that Sam scored on his science quiz. How many points did Jerijah score?
What is 85?
100
A builder wrote the expression 16 less than the quotient of s and 12. What algebraic equation did he write? What is the solution if s = 240?
What is s/12 - 16? Solution is 4.
100
Dana was born in 1981. Her son Tanner was born 25 years after Dana. Write an equation that could be used to find the year, y , in which Tanner was born.
What is y - 25 = 1981?
100
An MP3 player can store less than 240 songs. Write the inequality that show how many songs, s , the MP3 player can hold.
What is s less than or equal to 240 (draw the symbol)
100
Marco earns $9 per hour mowing lawns. The total amount earned t equals the amount earned per hour times the number of hours, h. Write an equation that gives the total amount earned if Marco works h hours.
What is t=9h?
200
After spending $3.75 on a magazine, Jennifer has $12.25 left. The equation x - $3.75 = $12.25 can be used to find the amount of money, x, that Jennifer has left. What is the solution for this equation?
What is $16.00?
200
Kylan wrote the expression 8 less that the product of m and 10. What algebraic equation did he write? What is the value of the expression if m = 7?
What is 10m -8? Value = 62.
200
During a school fundraiser, Paul sold boxes of chocolate bars for $7 each and earned a total of $364. Write an equation that could be used to find the number of boxes, n , that Paul sold.
What is 7n = 364 or 7 x n= 364?
200
After school activities are cancelled at Kurt's school if there are at least 2.5 inches of snow on the ground. Write and inequality that shows the number of inches of snow, s for which after school activities are cancelled.
What is s greater than or equal to 2.5 (draw the symbol)
200
Braxton wants to rent a bike. Bike rental costs $1.25 per hour plus a one-time fee of $3. Write and equation to represent the relationship between the number of hours, h Braxton rents the bike and the total cost , c.
What is c= 1.25h + 3
300
A road sign shows that motorists must travel at a speed no more than 55 miles per hour. Write and inequality that represents the speed, s, at which motorists can travel.
What is s less than or equal to 55. (the symbol is not available to me to write here but you know how to draw it.:)
300
There were 3.5 inches of snow on the ground. New snow was reported to be falling at the rate of 2.5 inches per hour. Write an expression that represents the number of inches of snow that should be on the ground after h hours?
What is 3.5 + 2.4h
300
A video game is on sale for $40. The sale price is $10 less that the regular price, p. Which equation could be used to find the regular price of the video game?
What is p + 10 = 40?
300
A ship can carry no more than 6 tons of cargo. Write an inequality that represents the number of tons, t , that the ship can carry.
What is t < 6?
300
Kynlee purchases a gallon of milk for $3 and some tomatoes for $2 per pound from the grocery store. Write an equation represents the relationship between the number of pounds, p of tomatoes purchased and the total amount, a, Kynlee spent at the grocery store.
What is a = 3+ 2p?
400
Marco must score at least 12 points to advance to the next level of a video game. Write and inequality to represent the possible number of points, p, that he can score to advance.
What is p greater than or equal to 12 (the symbol is not available to me, but you know how to write it. :)
400
A bicyclist travels 15 miles per hour, h the first day and 12 miles per hour, h on the second day. Write and expression to show the time the bicyclist rode in the two days.
What is 15h + 12h
400
Rowan started school in 1999. Kira started school 8 years after Rowan. Write and expression that could be used to find the year, y in which Kira started school.
What is y - 8 = 1999?
400
The repairs to Ketric's bike cost more than $50. Write and inequality that represents the cost of the repairs, r.
What is r > 50
400
Alex uses a 20-dollar bill to purchase an item that costs x dollars. Write an equation that represents the amount of change, y that he should receive from his purchase.
What is y= 20 - x
500
This month Cami's phone bill is $43.30. It is 4.60 less than last month's bill. The equation t - 4.60 = 43.30 can be used to find the amount of last month's bill, t. What is the solution?
What is $47.90?
500
Jaclynn is knitting a scarf. She has completed 7.5 inches ad can knit at the a rate of 2 inches per hour. Write and expression that can be used to find the number of inches she will have completed after h, hours. Then evaluate the expression for h = 4.
What is 7.5 + 2h? Solution = 15.5
500
Between 8 am and noon, the outside temperature had risen 12 degrees. The temperature at noon was 25 degrees F. Write and expression that could be used to find the temperature, t at 8 am.
What is t + 12 = 25?
500
Sam can have no more than 2 excused absences from baseball practice. Write an inequality that represents the number of excused absences, a, he is allowed.
What is a < 2?
500
Erin uses 3 tickets for each ride at the county fair. Write an equations to model the total number of tickets , t she uses for rides, r.
What is 3r = t
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