Okaloosa School District · 1 8 − 6 10 "+ 1 5.+1 Step 1 ... Explain your answer. Okaloosa School District MAFS.7.EE.2.3 Level 4 Katie wants to join Silver’s gym. Silver’s gym

FSA 7th Grade MathExpressions and Equations

Okaloosa School District

MAFS.7.EE.1.1Level 2

Circle the term that makes the equations true.



Select True or False for each equation.



Which expressions are equivalent to 0.5(x + 0.1) - 0.1(x - 0.5)? Circle all that apply.

A. 0.5x + 0.05 - 0.1x - 0.05B. 0.5x + 0.05 - 0.1x + 0.05C. 0.5x - 0.1x + 0.1D. 0.5x - 0.1xE. 0.4x + 0.1F. 0.4x



Practice Test Question



Simply and write the property that justifies each of your steps shown.

2 4" +$

%− 3 6" −

*

+



Lisa writes an expression equivalent to $,x+ -

,. +

/0−

+/1" +

/,. + 1

Her work is shown below.35" +

25. +

18−

610" +

15. + 1

Step 1: $,x +

-,y +

/0+ −

+/1x + −

/,y + −1

Step 2: $,x + −

+/1x +

-,y + −

/,y +

/0+ −1

Step 3: +/1+ −

+/1

x +-,+9/,y +

/0+ −

00

Step 4: /,. +

*0

In what step does Lisa make a mistake? Describe her error and find the correct equivalent expression.



Select True or False for each equation.A) <

-+ 3×4 = <

-+ 12 � True � False

B) /$z + -

$z×9 = 9z � True � False

C) −8y + 4.3y + 3.7 = 0 � True � FalseD) 12 − 1.8b + 1.8b = 1.8b � True � False

E) H0+ 7 H

0= m � True � False



A tutor earns d dollars per hour. He will be increasing his hourly wage by 10% starting next month. He tells one of his clients that his new wage can be determined by multiplying his previous wage by 1.1. Why is he correct? Write expressions to justify your answer.






Sarah add 18% for a tip on her lunch bill. She states the following represents the expression for her total cost for lunch

x + 0.18xA) Explain what x represents. B) Explain what 0.18x represent.C) Write an expression equivalent to Sarah’s

expression. What does this new expression represent?



A department store had a policy of giving all senior citizens 10% off of an item when they shop on Tuesday. Grandma Mary shops at the store on Tuesday and purchases a pillow on sale for 20% off. Write two equivalent expression to represent the cost of the pillow. Make sure to define the variable and explain your reasoning for your expressions.



Lee and two friends shared a pizza. She also bought a lemonade for $2. Lee’s share of the bill was $7. What was the total cost of the pizza?



Jamie bought $% pound of pecans for $7.60 a

pound. She also bought 1 /%

pounds of almonds for $7.80 a pound. Use the expression to find the total amount Jamie paid? Show your work.

$

%7.60 + 1

/

%(7.80)



At the beginning of the month, Stephanie’s bank account contained $6589.97. She then made two deposits of $552.98 each and a withdrawal of $179.35. Stephanie calculates her account by adding $373.63 to $6589.97. She states she has $6963.60 in her account. Determine if her answer is reasonable. Explain your answer.



Katie wants to join Silver’s gym. Silver’s gym charges an initial membership fee of $55 and a monthly fee of $19.50. She has $250 to spend on a membership for the gym. Write an expression to find the number of months Katie can be a member of Silver’s gym.



Bruno noticed today’s gasoline price at the local convenience store was advertised as $3.40 per gallon. Bruno is a reward member so he will receive 15% off. Bruno calculates he will pay $2.89 for a gallon of gas. Show mathematically how he is correct in his calculations.



The students at Willis Middle School are having a cookie dough fundraiser. Cookie dough sells for $12 a tub. The amount of profit the school earns depends on the number of tubs they sell. The school earns a 30% profit on the first 250 tubs sold and a 40% profit on all tubs sold over 250. If 428 tubs of cookie dough were sold, how much money did the students earn for the school?



On an assembly line it takes 90 seconds to bottle, label and shrink wrap a case of energy drinks. There are 24 bottles in a case and the factory runs two 8 hours shifts. On average, 5% of the bottles are mislabel each day. How many bottles are mislabeled each day?



Jackie ran for 20 minutes at a speed of 6 miles per hour. Jackie walked for 40 minutes at a speed of 3 miles per hour. Jackie use the following to calculate the the number of miles she ran and walked:

20(6) + 40(3)120 + 120

240 miles Find the error in Jackie’s math and calculate the correct amount of miles she traveled.



FSA Practice Test Question



Which of the following graphs shows the solution to the inequality below?-3x + 6 ≥ 9



Chelsea earns $30 per day plus ¼ of her sales she makes during her work day. On Thursday, she wants to earn at least $60. Solve /

%" + 30 ≥ 60 to help Chelsea

determine the least of amount of sales she needs to make to earn $60.



A plumber has a piece of pipe that is used to run city water parallel to a major roadway. The pipe is cut into two sections. One section of pipe is LM NO. shorter than the other. If ¾ of the length of the shorter pipe is LMP NO., how long is the longer piece of the pipe?



Claire’s mom found a very good price on a large computer monitor. She paid $QMR for a monitor that was only $SR more than half the original price. What was the original price?



Several months ago, Candice got a puppy. At the time, the puppy weighed 10 pounds. Since then, the puppy has steadily gained 4 pounds each month (m), and he now weighs more than 30 pounds. Write and solve an inequality to describe the scenario. Explain what the solution means in terms of the context of the problem.



Amanda has no more than $240 to spend on tennis lessons. A racket costs $50 and each lesson is $25. a) Write and solve an inequality to find the

maximum number of lessons Amanda can take.b) Explain what solutions are possible in context

to the word problem.





MAFS.7.EE.1.1Key

Level 2: 7x, 19m + 12nLevel 3: A)False B) True C) False D) True E) False Level 3: B, C, E

Level 3: Level 4: Answers will vary but the solution is -10x + 5 Level 5: The mistake is in step 4. She forgot about the sign value on the constant. The answer should be /

,y −

*0


MAFS.7.EE.1.2Key

Level 2: A and E are trueLevel 3: 1.1d = d + 0.1d; 1.1 is the same as adding 10% to the hourly rateLevel 3:


MAFS.7.EE.1.2Key

Level 4: a) x represents the amount of lunch bill

b) 0.18x represents the 18% tipc) 1.18x represents the total cost of lunch for Sarah

Level 5: Check students work. X = cost of pillow. Possible expressions are x – 0.2x -.1x or 0.8x - 0.1x or 0.7x


MAFS.7.EE.2.3Key

Level 2: 3(7-2) = $15Level 3: $15.45 Level 3: Stephanie is incorrect. Her bank account is 6589.97+2(552.98)-179.35 = 7516.58. She needed to add $926.61 to her account balance.

Level 4: -,19,,/J.,1

Level 4: Check students work. Works may vary. Should show 3.40 - 0.15(3.4) = 2.89 or 0.85(3.40)


MAFS.7.EE.2.3Key

Level 5 $1,754.40Level 5 768 bottles

Level 5 She forgot to convert. -1

+1(6) +

%1

+1(3) = 4 miles

Level 5


MAFS.7.EE.2.4Key

Level 2: C Level 3: x ≥ 120; she has to sale at least $120Level 4: ¾(x-12) = 120; x = 172 feetLevel 4: ½x + 65 = 325; x =$525Level 5: Candice has had the puppy for more than 5 months.Level 5: 25x + 50 ≤ 240

x ≤ 7.6The possible solutions would be 0,1,2,3,4,5,6,7 because she can only take tennis lesson in whole number values.


MAFS.7.EE.2.4Key

Level 5:


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Okaloosa School District · 1 8 − 6 10 "+ 1 5.+1 Step 1 ... Explain your answer. Okaloosa School District MAFS.7.EE.2.3 Level 4 Katie wants to join Silver’s gym. Silver’s gym