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WorksheetsMFCR (2.3 and 2.4 Review)
Total questions: 193
Worksheet time: 22hrs 44mins
2.2.16
Rachel works at a bookstore. On Tuesday, she sold twice as many books as she did on Monday. On Wednesday, she sold 6 fewer books than she did on Tuesday. During the three days Rachel sold 19 books. Create an equation that can be used to find m, the number of books Rachel sold on Monday. (Enter answer without spaces)
(a)
2.2.16
Rachel works at a bookstore. On Tuesday, she sold twice as many books as she did on Monday. On Wednesday, she sold 6 fewer books than she did on Tuesday. During the three days Rachel sold 19 books.
_ books were sold Monday. (Number only)
(a)
2.3.1a
Choose the correct definition for: Equation
Opposite operations that undo one another
Two equivalent expressions connected by an equal sign
Equations and formulas with several variables
What happens to one side of an equal sign must also happen to the other side of the equal sign
2.3.1c
Choose the correct definition for: Literal Equations
Opposite operations that undo one another
Two equivalent expressions connected by an equal sign
Equations and formulas with several variables
What happens to one side of an equal sign must also happen to the other side of the equal sign
2.3.1d
Choose the correct definition for: Inverse Operations
Opposite operations that undo one another
Two equivalent expressions connected by an equal sign
Equations and formulas with several variables
What happens to one side of an equal sign must also happen to the other side of the equal sign
2.3.2
All of the following are equivalent except ___________.
td=r
d=tr
rd=t
dt=r
2.3.2*
Sirlock Combs is planning a trip with his ol' chap "Sir Bray from the cafe". They're considering time, distance, and route. Which one of their equations is not like the others?
td=r
d=tr
rd=t
dt=r
2.3.3
Solve C = AB + D for B.
c=ab+d
c−d=ab
bc−d=a
ac−d=b
2.3.6
Solve for x.
x + 5 = 2x
(Enter numerical value only)
(a)
2.3.6b
Coach Livers is hosting a youth basketball tournament Wednesday, Thursday, and Friday.
She doesn't know how many basketballs she will need Wednesday, but she knows she needs 5 basketballs Thursday.
The number of basketballs needed Wednesday and Thursday are equal to the number of basketballs needed Friday, and she will need twice as many basketballs on Friday as were needed Wednesday.
Wednesday, she needs _ basketballs.
(Enter numerical value only)
(a)
2.3.6a
Erin Goosby, our favorite Jam, is headed to Lululemon buy workout wear for a giveaway she's doing at Coach Livers' basketball tournament.
Audrey suggests she give away 12 items Thursday and 5 times as many items on Friday as she gives away Wednesday.
The number of items given away Wednesday and Thursday is equal to the number of items given away Friday.
How many items did Erin give away Wednesday?
(Enter numerical value only)
(a)
2.3.6a*
Erin Goosby, our favorite Jam, is headed to Lululemon buy workout wear for a giveaway she's doing at Coach Livers' basketball tournament.
Audrey suggests she give away 12 items Thursday and 5 times as many items on Friday as she gives away Wednesday.
The number of items given away Wednesday and Thursday is equal to the number of items given away Friday.
How many items did she give away Friday?
(Enter numerical value only)
(a)
2.3.6a**
Erin Goosby, our favorite Jam, is headed to Lululemon buy workout wear for a giveaway she's doing at Coach Livers' basketball tournament.
Audrey suggests she give away 12 items Thursday and 5 times as many items on Friday as she gives away Wednesday.
The number of items given away Wednesday and Thursday is equal to the number of items given away Friday.
What equation represents the scenario?
(Enter response without spaces, and use "x" as the equation's variable)
(a)
2.3.4
In which of the following solutions would you multiply both sides of the equation by n?
Solve m + n = p for m.
Solve m - n = p for m.
Solve nm=p for m.
Solve mn = p for m.
2.3.5
Which of the following statements explains how to solve for w in the equation A = lw?
Divide both sides by A.
Multiply both sides by l.
Multiply both sides by A.
Divide both sides by l.
2.4.10
Solve for x.
x−83=−85
(Enter answer as a simplified fraction including proper sign (if negative) and without spaces)
(a)
2.4.10a
CEO Seltz is checking the numbers on a business someone would like him to buy. His first task is to identify how much expenses are eating into profits. He doesn't know how much the profits are being eaten into in quarter one, but he knows that in quarter two, 1/4 of the profits are being eaten into, and the amount of profit being eaten into in quarter three is 5/8. The proportion of profit being eaten into in quarter three equals the amount of profit eaten into during quarters one and two combined.
What portion of the profits are being eaten into by expenses in quarter one?
(Enter answer as a simplified fraction including proper sign (if negative) and without spaces)
(a)
2.4.9
Solve for x.
x−21=43
(Enter answer as a decimal)
(a)
2.4.8
Solve for x.
y+1.05=7.26
(Enter answer numerical value only)
(a)
2.3.6
Solve for b in the formula 3a + 2b = c.
2.3.13
Which of the following statements explains how to solve for l using the formula A=lw, when A =28 1/4 and w is 2 1/2?
2.3.8
Solve for w in P=2w+2l, if P=38 and l=12
(a)
2.3.7
Solve for N in the equation: N+3.2=9.6
(Enter numerical value only)
(a)
2.3.9
Solve for t in d=rt, if d=57 and r=30.
(a)
2.4.11
The sum of negative eighteen and a number is eleven. What is the number?
Which equation could be used to solve the problem?
x = 11
2.3.11
Solve for b2 in the following equation if A=16, h=4, and b1=3
A=21h(b1+b2)
(a)
2.3.12
The formula below is used to convert Celsius to Fahrenheit temperature. If the temperature is 20 degrees Celsius, it is (a) degrees Fahrenheit. (Include the number only)
F=59C+32
2.3.12*
The formula below is used to convert Celsius to Fahrenheit temperature. If the temperature is 30 degrees Celsius, it is (a) degrees Fahrenheit. (Include the number only)
F=59C+32
2.3.14
Convert 77 degrees in Fahrenheit to Celsius temperature using the formula (include number only):
F=59C+32
(a)
2.3.15
Find F is P=27 and A=4
P=AF
(a)
2.3.15*
Find F is P=38 and A=9
P=AF
(a)
2.4.12
When negative five is added to a number the result is 10. Find the number.
(a)
Solve for x:
x21=86
(a)
Solve the proportion.
6k=1815
(a)
15 Fuji apples cost $9. How many Fuji apples can you buy for $3?
(a)
5 pounds
2 Pounds
$20 Dinars
24 Dinars
Fairview and Rockville are 104 km from each other. How far apart would the cities be on a map that has a scale of 1 cm : 13 km? (Include unit)
(a)
If a 18 ft tall statue casts a 12 ft long shadow, then how long is the shadow that a 3 ft tall baby elephant casts?
(a)
Two numbers are in the ratio of 2 to 3.
If the smaller number is 36, the larger number is (a) .
Rohan is comparing the ratios of different fruit juices. All of the following are equivalent except______.
7.5:4.5
5 is to 3
515
2745
A basketball team played 20 games and won 12 of them. What is the ratio of their wins to losses?
3:2
12:8
3:5
5:3
51is to 1 51 what 2 is to z . What is "z"?
(a)
In a classroom, the ratio of girls to boys is 2 to 3.
If there are 18 girls, how many total students are there?
(a)
In a classroom, the ratio of boys to girls is 5 to 3.
If there are 15 boys, how many total students are there?
(a)
If 4m = 7n, then all of the following are true except...
47=nm
m4=7n
n4=m7
74=mn
2.2.12
Which of the following represents "four times the square of a number is thirty-six"?
(4 * x)^2 = 36
2.2.13
Which of the following represents "the square of the sum of a number and 4 is 36"?
2.2.13*
The following statement represents the amount Connor intends to spend on lunch: "the square of the sum of a number and 4 is 36"?
How much is he spending on lunch?
(Include dollar sign)
(a)
2.2.13**
The following statement represents the amount Katie owes Dylan for the gas used for an "emergency road trip" to see her favorite band: "the square of the sum of a number and 4 is 361"?
How much does she owe?
(Include dollar sign)
(a)
2.2.14
Over the past ten years, Steven's retirement account has tripled in size. The account's balance is 20,752.38. How much was in the account ten years ago?
(Include dollar sign, comma, and amount rounded to the hundredths place without spaces if needed)
(a)
2.2.14*
Over the past ten years, Gracie's retirement account has increased by a multiple of 2.7. The account's balance is 54,872.39. How much was in the account ten years ago?
(Include dollar sign, comma, and amount rounded to the hundredths place without spaces)
(a)
Determine whether each pair of ratios forms a proportion
Proportion
Not a Proportion
Scale is 1cm = 8km. Hatboro and Smithville are 24cm apart on the map, what is the actual distance between the 2 cities?
(a)
Identify the steps to solve for b
Add 6 to both sides and divide both sides by 5
Add 6 to both sides and multiply both sides by 5
Subtract 6 from both sides then multiply both sides by 5
Subtract 6 from both sides then divide both sides by 5
Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.
(Enter response without spaces, and use "x" as the equation's variable)
(a)
Solve for x:
−1=65+x
(Enter numerical value only and sign if needed)
(a)
Solve for x:
−6+4x=−5
(Enter numerical value only)
(a)
11 - 3x = 44
Solve for a
(Enter numerical value only and sign if needed)
(a)
Level 3
Identify the steps to solve for b
Add 6 to both sides and divide both sides by 5
Add 6 to both sides and multiply both sides by 5
Subtract 6 from both sides then multiply both sides by 5
Subtract 6 from both sides then divide both sides by 5
Solve for x:
4x+8=10
(Enter numerical value only)
(a)
Solve for x:
2(2x - 1) = 10
(Enter numerical value only)
(a)
Solve for b:
63 = 7(1 + 4b)
(Enter numerical value only)
(a)
Solve for x:
3(x-4) = -3
(Enter numerical value only)
(a)
4( x + 2) = 16
3x + 2x + 3y - 7y
2t -7 = 3
Find the value of t
(Enter numerical value only)
(a)
Solve for x
4x+8=10
(Enter numerical value only)
(a)
Solve.
x/7 - 2 = 8
(Enter numerical value only)
(a)
Solve.
x/4 + 2 = 42
(Enter numerical value only)
(a)
Solve for x
1x+3=33
(Enter numerical value only)
(a)
What would be the first step to solving the equation?
155 = x + 5
add 3 to both sides
subtract 5 from both sides
add 5 to both sides
subtract 3 from both sides
Write the equation that matches the situation.
If one roll of masking tape costs $1.15, how many rolls (x) can Emma buy with $5.75?
(Enter response without spaces, but include dollar signs)
(a)
How many rolls of masking tape can be purchased based on the following:
If one roll of masking tape costs $1.15, how many rolls (x) can Emma buy with $5.75?
(Enter numerical value only)
(a)
Brayden has saved $55 toward the purchase of AirPods for his brother. The AirPods cost $145. Write the equation that represents the amount Brayden still needs to save to buy the Airpods?
(Enter response without spaces, include dollar signs, and use "x" as the equation's variable)
(a)
Brayden has saved $55.97 toward the purchase of AirPods for his brother. The AirPods cost $168.20 with the inclusion of tax. How much more money does Brayden need in order to purchase the AirPods?
(Enter numerical value including the dollar sign)
(a)
Joey and four of his friends went out to eat. They decided to split the bill evenly. Each person paid $11.13. What was the total bill?
Write an equation you could use to solve this equation. Use t as your variable.
t/4 = $11.13
4t = $11.13
t/5 = $11.13
5t = $11.13
Charlie had an unknown amount of candy. He gave ten pieces to Ava and is left with 24 pieces. Write the equation to solve for how many pieces he started with?
(Enter response without spaces using x as your variable)
(a)
Solve for y.
y + 4.6 = 12
(Enter numerical value only)
(a)
What steps should you take to solve an equation? Check all that apply.
Isolate the variable
Do the same on both sides of the equation
Solve the equation
Check the solution
Write the equation matches this situation?
Robyn had some video games then bought 4 more. Now she has a total of 10 games.
(Enter response without spaces, and use "v" as the equation's variable)
(a)
x + 7 = 12
7 is being added to the variable, x. How should you show your work to isolate the variable and solve the equation?
The solution is x = 19.
Simplify 6r⋅s⋅4rt
24rs^2t
24rst
12rst
24r^2st
Simplify x2−10xy+3y+y2−1
x^2 - 10xy +3y+ y^2 - 1
Integers are ______________ irrational numbers.
Never
Sometimes
Always
Select all of the following expressions that are equivalent to 0.25
2(-0.125)
∣−3+2.75∣
-(-0.25)
-1((-0.2)+(-0.05))
2x-1.75x
Simplify 5m-13n-n+4m
(Enter response without spaces)
(a)
Simplify 9-[x-(7+x)]
(Enter response without spaces)
(a)
Simplify 7(x+3)
(Enter response without spaces)
(a)
10q-20 is equivalent to
2(q-10)
What is the expression for the "the difference between five times a number and twice that number"?
(Enter response without spaces, and use "n" as the equation's variable)
(a)
Simplify 6x+6+5x−8
(Enter response without spaces)
(a)
Simplify 3(x−4)+8(x+2)
(Enter your response without spaces)
(a)
Solve for x.
x = 56
x = 8/7
x = 24/7
x = 168
What is the missing number?
Bella can skate 4 2/3 miles per hour. How many miles can she skate in 3 1/2 hours?
14 2/3 miles
16 1/3 miles
1 1/3 miles
15 miles
12 ⅜ - 9 ⅝ =
3 ⅔ + 2 ⅔ =
4/5
3/4
3/1
1/3
Which number line shows 1/2
A
B
C
D
Label Point C
5/6
-2/6
-2/3
-1/2
Which decimal is located at point B
4.0
0.5
1.4
0.4
What is the value of point A
2/7
-4/7
-5/8
7/7
3.5
-3.5
-4.5
-2.5
Compare the following rational numbers
−0.5 ____ −53
>
<
=
Compare the following rational numbers
−411 ____ −2.75
>
<
=
Order the following rational numbers from least to greatest.
−67, −1.26, −21
−1.26, −67, −21
−67, −1.26, −21
−1.26, −21, −67
−21, −67, −1.26
Order the following rational numbers from greatest to least.
−0.005, −1005, −21
−0.005, −1005, −21
−21,−1005, −0.005
−1005, −0.005, −21
My answer is not here
18.5_____22.1
<
>
-12.5 ______ 12.2
<
>
-14 32 _______ -16
<
>
1.9 _____ -1
<
>
-64 , 3.5 , √27 , 6.666...
√81 and 9
Which value is greater?
36, 49, 64, 81 __
64
Rational
Irrational
4.67
Rational
Irrational
49
Rational
Irrational
1000
Rational
Irrational
5.23568...
Rational
Irrational
225
Rational
Irrational
32
Rational
Irrational
169
Rational
Irrational
0
Rational
Irrational
−47.3
Rational
Irrational
−125
Rational
Irrational
169
Rational
Irrational
144
Rational
Irrational
3.147...
Rational
Irrational
10
Rational
Irrational
.6
Rational
Irrational
−54
Rational
Irrational
−50
Rational
Irrational
7.45
Rational
Irrational
175
Rational
Irrational
