Font size
WorksheetsSY25-26 ACC Finals 1 Mega Review
Total questions: 205
Worksheet time: 9hrs 53mins
A person tracked their bank account balance over three days:
Day 1: Deposited $150
Day 2: Withdrew $40
The starting balance at the beginning of Day 1 was $600. On Day 3, the account incurred a fee equal to -1/4 if the total transaction amount over the previous two days. What was the final balance at the end of Day 3?
$710
$682.50
$670.25
$691.75
A $120 jacket is on sale for 30% off. If you pay 8% sales tax, what is the final price of the jacket?
$90.72
$92.16
$84.00
$102.96
What is the simplified product of (-2)(4.5)(-1.8) ?
16.2
-16.2
14.4
-14.4
The area of parallelogram ABCD is 15 square meters. A similar parallelogram WXYZ has an area of 135 square meters. If parallelogram ABCD has a base of 5 meters and a height of 3 meters, what must be the base and height of parallelogram WXYZ ?
15m x 9m
27m x 5m
45m x 3m
45m x 27m
Which of the following expressions is equivalent to :
531−232+4
631
632
731
732
A baker uses 32 of a 4 21 cup container of flour to make bread dough. Then, the baker uses 21 cup of the remaining flour to dust the counter. How much flour is left in the container?
1 cup
0 cups
23 cups
1 41 cups
What is the coordinates for Point Y given that the two triangles are proportional and similar.
(12, 5)
(8, 9)
(8, 2)
(10, 6)
A pair of shoes is priced at $y. If there is a discount of 15%, the following expression represents the sale price of the shoes:
y−0.15y
What is another way to write this expression?
0.85y
1.15y
0.15y
y + 0.15y
The price of a concert ticket is $z. If there is a service fee of 10%, the following expression represents the total cost of the ticket:
z+0.10z
What is another way to write this expression?
1.10z
0.90z
z + 1.10z
0.10z
A student solved the equation 50=4(2x−1)+6 to find x. His work is shown:
Given: 50=4(2x−1)+6
Step 1: 50=8x−1+6
Step 2: 50=8x+5
Step 3: 50-5=8x
Step 4: 45=8x
Step 5: x=5.625
Step 1: When distributing the 4, he forgot to distribute it to the - 1.
Step 3: He should have added 5 to both sides instead of subtracting
Step 5: He should have multiplied both sides by 8
He did not make a mistake, his answer is correct
Which expression is equivalent to 3(5x−2)+4(2x−3)?
23x - 18
23x + 18
26x - 18
26x + 18
−54 (5x+15)=−(4x+?)
Which value should go in the box to make the equation have infinitely many solutions?
12
15
-12
20
The expression shown is equivalent to 5x−2y:
10x−3y+?(−5x+y)
What is the value of the ?
1
-1
2
-2
A delivery driver is tasked with delivering packages. He starts his day with 20 packages already loaded in his van. He can pick up additional packages at a rate of 8 packages per hour. To finish all his deliveries on time, he needs to have at least 60 packages in his van by the end of the day. Which inequality and solution describe how many hours the driver must spend picking up packages to meet his goal?
20 + 8h > 60; h > 5
20 + 8h > 60; h > 5
20 + 8h < 60; h < 5
20 + 8h > 60; h > 4
Which linear equation has no solution?
2(x + 3) = 2x + 6
4x - 2 = 3x + 5
-5(x - 2) = -5x + 10
2(x + 4) = 2x + 3
Use the table to answer the following question.
Which of the following equations represents the data in the table?
y = 200x + 800
y = 100x + 1000
y = 200x + 1000
y = 800x + 200
What is the equation of the line?
y = -x + 5
y = x - 5
y = -5x
y = -x - 5
2x + 1 = 2x - 1
12x + 36 = 12x + 36
No Solution
One Solution
Infinite Solutions
3x - 5 = 3x - 5
No Solution
One Solution
Infinite Solutions
Jason is preparing for a marathon so you decides to run 15 miles today in the park. He runs at a speed of 6 miles per hour. He decides to run over to his friend's house as well to help him move. His friend lives 3 miles away. How long will it take Jason to run in the park and to his friend's house?
2 hours
2.5 hours
3 hours
4 hours
Kelsey needs to save $650 to buy a new laptop. She earns $100 a week doing odd jobs for her neighbors. She also owes her friend $50. How long will it take Kelsey to earn enough money to buy the laptop and pay her friend back?
6 weeks
7 weeks
8 weeks
9 weeks
Tell whether Lisa sold the shirts for enough money to make a profit AND gives the correct explanation.
What is the expression represented in the number line?
4 + (-5)
-5 + 4
-5 - 4
4 - (-5)
Let blue represent a positive 1 and red represent a negative 1. What is the correct expression to represent the situation?
4 + (-2) = 2
4 - 2 = 2
-2 - 4 = 2
2 + (-4) = -2
Which diagram correctly models how to solve -4+|-8|
A number line is shown.
Which two points are zero pairs?
Points E and F
Points F and G
Points E and H
Points G and H
What is the value of - |5| + |–2|?
7
-7
3
-3
A recipe for muffins needs ¾ a cup of milk. You are making ½ of the recipe. How much milk do you need?
Ms. Grimes is grading student responses for the same math problem. Below are four student responses.
The price of a share of stock for company XYZ at the beginning of the week was $24.75. Over the next five days, the share of stock gained $2.50 on Monday, lost $3.25 on Tuesday, lost $0.75 on Wednesday, gained $1.25 on Thursday, and gained $4.75 on Friday.
What was the price of the share of stock at the end of Friday?
$37.25
$24.50
$29.25
$20.25
Point A is graphed at -1.75 and point B is graphed at 0.25. Identify the distance between points A and B.
Identify the expression(s) that reflect the distance between the two points. Select all that apply.
|-1.75|+|0.25|=2
1.75-0.25=2
0.25-(-1.75)=2
-0.25-1.75=2
1. At 5:00 a.m., the temperature outside was 6°F below zero. By noon, it rose by 15°F. At 7:00 p.m., the temperature dropped by 5°F. What was the evening temperature?
-26°F
4°F
14°F
26°F
Lindsay is playing a video game. She begins with an initial score of 500 points but loses 280 points throughout the game. She represents her score using the expression below.
500 - 280
Which expression also represents Lindsay’s video game score?
280 – 500
280 + 500
500 – (-280)
500 + (-280)
DeShawn plans on raising a total of $1,000 for a local charity. His goal is to raise three-fifths of that money by the end of the month. DeShawn was only able to raise 5/6 of his goal for this month. How much money did DeShawn actually raise?
$400
$500
$600
$833
The variable b = −3, and the variable c = 6. A dot has been placed to indicate the location of 2 on the number line below. Identify where 2 + b and 2 + c are located on the number line.
1 and -8
-5 and 8
-1 and 8
5 and -8
Will the answer be positive, negative or zero?
none of them
zero
positive
negative
Will the answer be positive, negative or zero?
zero
negative
positive
none of them
Will the answer be positive, negative or zero?
none of them
negative
zero
positive
The temperature of a substance is -16.6 °C. During an experiment, the temperature of the substance decreases 7.5 °C. What is the final temperature?
24.1
-24.1
9.1
-9.1
Julie walks 10 dogs a week and gets paid $4.25 for each dog. How much money does she make in one week?
$42.50
$442.50
$425.00
$3.50
Mr. Maker has an account balance of -$176.87. He deposits $522.85 into his account. What is Mr. Maker's account balance now?
$813.98
$263.42
$539.78
$345.98
Jason can make a profit of $3.60 on every picture he draws for the school fundraiser. He is wanting to make a profit of $324. How many pictures does he need to sell?
89
90
91
92
On Carlos’s map, Greenville and North Valley are 421 inches apart. The scale on his map is 1 inch = 20 miles. How far is Greenville from North Valley?
90
4.4444444
24.5
15.5
Kayla ate 3/12 of a watermelon. Jordyn ate 1/12 of the watermelon. Then April ate 1/4 of the watermelon. How much of the watermelon did they eat?
6/12
7/36
4/12
7/12
Daniel watched a beetle and a spider on the sidewalk. The beetle crawled 1/2 of a yard and the spider crawled 1/8 of a yard. How much farther did the beetle crawl than the spider?
1/4
3/8
1/2
5/8
Juliana and her friend went to the movies. They bought a candy bar that was 6 3/8 inches long? They cut the candy bar in 1/2 to share. How long was each piece?
5/8
343
252
3163
The first play of a football game resulted in a loss of 12 yards. Then a penalty resulted in another loss of 5 yards. What is the total loss or gain?
7 yards
- 7 yards
17 yards
- 17 yards
On the first play, the football team gained 6 yards. On the second play, the team lost 5 yards. What was their total change in yards?
1 yard
11yards
-1 yard
-11 yards
11 - 3x = 44
-10x+ 20 = -10x +20
No Solution
One Solution
Infinite Solution
-12x - 8 = 3(-4x + 5)
No Solution
One Solution
Infinite Solution
5x + 4 = 5x - 7
No Solution
One Solution
Infinite Solution
6x - 18 = 2(3x - 9)
No Solution
One Solution
Infinite Solution
Which inequality does this graph represent?
x>1
x≥1
x>2
x≥2
Which inequality does this graph represent?
x>1
x≥1
x>2
x≥2
A rectangular garden has a perimeter of 84 feet. Then length of the garden is 26 feet. What is the width of the garden?
16 feet
32 feet
58 feet
29 feet
A swimming pool has a length of (2x - 4) and a width of (x + 9). The perimeter of the swimming pool is 100. What is the length of the swimming pool?
15
24
26
52
James drove 550 miles in 10 hours. Which equation represents the constant of proportionality?
y = 550x
y = 10x
y = 5500x
y = 55x
Josh sells apples at a constant rate of apples per days. The equation is y=243x . What does the constant of proportionality represent?
2 apples sold in 43 days
43 apples sold in two days
43/2 apples sold in two days
43 apples sold in a day
Which table has a constant of proportionality of 0.8?
A
B
C
D
Which restaurant charges the least amount of money per fry?
Restaurant 1
Restaurant 2
Restaurant 3
Restaurant 4
Complete the table
0.69
5.52
6.02
6.21
The graph shows the cost to install carpet in a home by square footage. What does the constant of proportionality represent?
It costs $0.67 per square foot
It costs $6.67 per square foot
It costs $1.50 per square foot
It costs $15 per square foot
On a map, two cities are 197 inches apart. If the map's scale is 131 inch = 240 miles, what is the actual distance from between the cities?
320
148
180
298
A brownie recipe requires 2/3 cup of sugar for 1/3 batch of brownies. How much sugar is need for 4.5 batch of brownies
3 cups
2.25 cups
5 & 1/3 cups
9 cups
Will the answer be positive, negative or zero?
none of them
zero
positive
negative
Will the answer be positive, negative or zero?
zero
negative
positive
none of them
Will the answer be positive, negative or zero?
none of them
negative
zero
positive
The temperature of a substance is -16.6 °C. During an experiment, the temperature of the substance decreases 7.5 °C. What is the final temperature?
24.1
-24.1
9.1
-9.1
Julie walks 10 dogs a week and gets paid $4.25 for each dog. How much money does she make in one week?
$42.50
$442.50
$425.00
$3.50
Mr. Maker has an account balance of -$176.87. He deposits $522.85 into his account. What is Mr. Maker's account balance now?
$813.98
$263.42
$539.78
$345.98
Jason can make a profit of $3.60 on every picture he draws for the school fundraiser. He is wanting to make a profit of $90. How many pictures does he need to sell?
324
25
24
320
On Carlos’s map, Greenville and North Valley are 421 inches apart. The scale on his map is 1 inch = 20 miles. How far is Greenville from North Valley?
90
4.4444444
24.5
15.5
On a map, Mesquite is 5 inches from Dallas. If the map's scale is 1 inch = 3 miles, what is the actual distance from Mesquite to Dallas?
15
5
10
14
Kayla ate 3/12 of a watermelon. Jordyn ate 1/12 of the watermelon. Then April ate 1/4 of the watermelon. How much of the watermelon did they eat?
6/12
7/36
4/12
7/12
Daniel watched a beetle and a spider on the sidewalk. The beetle crawled 1/2 of a yard and the spider crawled 1/8 of a yard. How much farther did the beetle crawl than the spider?
1/4
3/8
1/2
5/8
Juliana and her friend went to the movies. They bought a candy bar that was 6 3/8 inches long? They cut the candy bar in 1/2 to share. How long was each piece?
5/8
343
252
3163
The first play of a football game resulted in a loss of 12 yards. Then a penalty resulted in another loss of 5 yards. What is the total loss or gain?
7 yards
- 7 yards
17 yards
- 17 yards
On the first play, the football team gained 6 yards. On the second play, the team lost 5 yards. What was their total change in yards?
1 yard
11yards
-1 yard
-11 yards
Which situation best describes a Zero Pair?
You lost $5 then you spent $6.
You had 2 dogs and then you got 2 more dogs.
You had 4 apples and then you ate 4 apples.
You owed $7 then you found a ten dollar bill.
What is the value?
11
-11
-3
3
What is the value?
-2
5
2
+2
The total value is 6
True
False
Is the final answer positive or negative?
Positive
Negative
Positive 3
Negative 6
What is the total value?
4
-1
+2
-2
$203.87
$350.09
$140.42
261.52
$2.55
$2.10
$3.45
$1.90
402
450
375
389
[10, -5, 3, 16, -1, 0, 1]
______on a number line.
|21 + 9| − |4|
30
26
-30
-26
|28−21| + |−5|
-12
-2
12
2
|-12| - |- 8|
4
-4
20
-20
5/4, 56%, 1.07, 4/5
Which inequality sign would make the following true.
<
>
=
Which list of numbers is in order from least to greatest?
A √23, 5, 6, 43%
B 5, √23, 6, 43%
C 43%, 5, √23, 6
D 43%, √23, 5, 6
The distance between -5 and 5 is 0.
Find the distance between -7 and 9 using the number line.
2
16
-2
-16
You are flying in a helicopter 150 feet above sea level. You look down and see a shark swimming 15 feet below the surface of the water. How far away are you from the shark?
-135 feet
165 feet
135 feet
Find the total cost of the 72" TV be sure to include the tax at 7.75%.
$89.13
$1239.13
$1150
$1157.75
Your family ordered a large pizza dinner for $49.99. You leave a 15% tip for the waitress. What is the total bill? (not including tax)
$22.49
$57.49
$50.14
$174.00
What is the salesperson's commission on a $1100.00 sale if the commission rate is 20%?
$20.00
$220
$1320
$200
How much is a 5% commission on sales of $600?
$60
$50
$30
$40
Kimberly's family has a dinner bill of $26 and wants to leave a 25% tip for their server. ? Tax for the meal is 8%. How much was the total cost of the dinner?
$32.50
$28.08
$35.10
$34.58
Mrs. Smith paid $125 to have her hair colored and cut. If she tips her hairdresser 15% of her bill and tax is 6%, how much did Mrs. Smith pay in total?
$132.50
$143.75
$151.25
$136.25
Mounica goes to Target. Her items total to $150. If she has a 40% DISCOUNT , then 5% SALES TAX. How much will she pay?
$90
$94.50
$176
$106.50
You buy a watch for $450. It is on sale 40%. The sales tax is 5%. What is the final cost?
$481.50
$283.50
$256.50
$270
You spend $82 at the supermarket. Today your purchase is 20% off. The sales tax is 7%. What is your final cost?
$87.74
$65.60
$70.19
$11.48
Which is the better deal?
10% off $100
20% off $110
These are equal deals
Which is the better deal?
15% off $110
20% off $180
They are equal deasl
Kimberly's family has a dinner bill of $26 and wants to leave a 25% tip for their server. ? Tax for the meal is 8%. How much was the total cost of the dinner?
$32.50
$28.08
$35.10
$34.58
Mrs. Smith paid $125 to have her hair colored and cut. If she tips her hairdresser 15% of her bill and tax is 6%, how much did Mrs. Smith pay in total?
$132.50
$143.75
$151.25
$136.25
Mounica goes to Target. Her items total to $150. If she has a 40% DISCOUNT , then 5% SALES TAX. How much will she pay?
$90
$94.50
$176
$106.50
You buy a watch for $450. It is on sale 40%. The sales tax is 5%. What is the final cost?
$481.50
$283.50
$256.50
$270
You spend $82 at the supermarket. Today your purchase is 20% off. The sales tax is 7%. What is your final cost?
$87.74
$65.60
$70.19
$11.48
