Equations
Which expression is equivalent to 5(x - 3)?
A) 5x - 3
B) 2x
C) x - 15
D) 5x - 3(5)
What is D) 5x - 3(5) ?
A skills test has 20 questions. This list shows the number of points that can be earned on each question:
- Correct Answer: +3 points
- Incorrect Answer: -1 point
- No answer: -2 points
When Frieda took the skills test, she answered 12 questions correctly and 5 questions incorrectly, and she did not answer the rest of the questions. What was the total number of points that Frieda earned?
A) 25 points
B) 31 points
C) 12 points
D) 20 points
A) 25 points
Correct = 12 x 3 = 36 points
Incorrect = 5 x -1 = -5 points
No answer = 3 x -2 = -6 points
36 + -5 + -6 =
36 - 5 - 6 = 25 points
https://drive.google.com/file/d/1Kn1NAa2hEZlsGl38tEznpHGXzDNR6Z15/view?usp=drive_link
Consider a right rectangular prism with its dimensions in inches with sides of the following lengths: 3 inches x w inches x 8 inches. (Click on the link above to see the prism.)
What is the area of the base of the prism in square inches?
A) w + 3
B) 2(w + 3)
C) 3w
D) 8(3)(w)
E) 8 + 3w
F) 8 + 3 + w
What is C) the area of the base is 3w.
What is D) the volume of the prism is 8(3)(w).
The table shows the monthly fees for checking accounts at two banks.
https://drive.google.com/file/d/1jFmSRYBW_eAvHdQJg33ELao-fQ3LOprZ/view?usp=drive_link
Which statement is best supported by the information in the table?
A) The fee at Bank K will be greater than the fee at Bank F whenever the average daily balance is less than $750.
B) The fee at Bank K will always be less than the fee at Bank F.
C) The fee at Bank K will always be greater than the fee at Bank F.
What is C) the fee at Bank K will always be greater than the fee at Bank F.
What value is equivalent to this expression?
42 - 6(7 - 10)
A) 7
B) -12
C) 34
D) -36
What is C) 34.
42 - 6(7 - 10)
16 - 6(-3)
16 - (-18)
16 + 18 = 34
Which inequality represents all possible values for x in
-2x > -48 ?
A) x < -24
B) x < 24
C) x > -24
D) x > 24
What is D) x > 24.
A total of 96 dogs and cats were taken to a veterinarian's office last week. The ratio of dogs to cats was 3:5.
How many of the animals taken to the veterinarian's office were cats?
A) 31 cats
B) 12 cats
C) 60 cats
D) 88 cats
What is C) 60 cats.
3 dogs : 5 cats
36 dogs : 60 cats = 96 dogs and cats
A square has a perimeter of 32 inches. The length of one side is 8 in. What is the perimeter of the square in feet?
A) 2 feet
B) 3/8 feet
C) 4 feet
D) 2 2/3 feet
What is D) 2 2/3 feet?
One foot is 12 inches. Two feet is 24 inches.
32 inches (perimeter) - 24 inches = 8 in remaining
8 inches is 2/3 of 12 inches.
The histogram shows the time in minutes it took for a business to resolve customer service issues that were called in.
https://drive.google.com/file/d/1NERBeOTKUo-QxEdE1mdzn8XZv_YOCa2p/view?usp=drive_link
Determine whether each statement is true or false based on the data in the histogram.
Select ONE correct answer in each row.
https://drive.google.com/file/d/1V1wCFYNMESA98razO3wEKFQZBMcjsDAt/view?usp=drive_link
What is FALSE,
FALSE,
and FALSE.
A study showed that 75% of people who joined a gym did so in January.
Which value is equivalent to 75%?
A) 3/4
B) 75
C) 1/4
D) 7.5
What is A) 3/4.
Which statement describes the relationship between x and y in these two equations?
y = x + 8 y = 8x
A) In y = 8x and y = x + 8, the value of y is 8 more than the value of x.
B) In y = 8x and y = x + 8, the value of y is 8 times the value of x.
C) In y = 8x the value of y is 8 times the value of x, and in y = x + 8 the value of y is 8 more than the value of x.
What is C) In y = 8x the value of y is 8 times the value of x, and in y = x + 8 the value of y is 8 more than the value of x.
A researcher asked 120 people if they preferred swimming in a pool or swimming at the beach. The data collected showed that 2 out of 10 people preferred swimming at the beach.
What was the total number of people who preferred swimming at the beach?
A) 12
B) 60
C) 2
D) 24
What is D) 24 people preferred swimming at the beach.
120/10 = 12 groups of 10 people
12 x 2 people in every group prefer the beach
24 people total prefer the beach
The dimensions of a right rectangular prism are shown in inches.
What is the Volume of the right rectangular prism in cubic inches?
https://drive.google.com/file/d/15ReH-ghbCnn7SX-tB6QGxLx80AVTr0iT/view?usp=drive_link
A) 40 cubic inches
B) 160 cubic inches
C) 28 cubic inches
D) 260 cubic inches
What is D) 260 cubic inches?
6.5 inches x 10 inches x 4 inches
The stem and leaf plot represents the ages of the people volunteering at a food drive.
https://drive.google.com/file/d/172Qw3FJ8ZYdxMoTXnTgFGR4pp7JOB_AW/view?usp=drive_link
Based on the stem and leaf plot, which statement is true?
What is C. The mode of the data is 65 years
Which expressions have a value of 15.4?
Select TWO correct answers.
A) 5.4 (3 2/3)
B) 45.12 / 1/3
C) 3.85 / 0.25
D) 30.8 (2.5)
E) 9.24 / 3/5
What is C) 3.85 / 0.25
and E) 9.24 / 3/5.
Which situation can be represented by the equation x - 8 = 24?
A) Gael and Jules go to the same school. Gael lives 8 blocks closer to the school than Jules does. If Gael lives 24 blocks from the school, what is x, the number of blocks from the school that Jules lives?
B) Gael and Jules go to the same school. Gael lives 24 blocks closer to the school than Jules does. If Gael lives 8 blocks from the school, what is x, the number of blocks from the school that Jules lives?
C) A worker arranged 24 boxes on 8 shelves with the same number of boxes on each self. What is x, the number of boxes on each shelf?
D) A worker arranged a total of x boxes on 4 shelves. The worker placed 8 boxes on each shelf. What is x, the total number of boxes arranged on shelves?
What is A) Gael lives 8 blocks closer to to the school than Jules, which is 24 blocks from the school. (Jules lives 24 + 8, or 32 blocks from the school.)
The owner of a food truck noted that 7 out of 8 customers ordered a drink with their lunch. What decimal is equivalent to the fraction of customers who ordered a drink with their lunch?
A) .8
B) .875
C) .9
D) 7.0
What is B) .875 is equivalent to 7/8.
Triangle XYZ has these measures:
- Angle X has a measure of 36.2 degrees
- Angle Y has a measure of 98 degrees
What is the measure of Angle Z in degrees?
A) 134.2 degrees
B) 45.8 degrees
C) 225.8 degrees
D) 55.8 degrees
What is B) 45.8 degrees?
Triangle total angles add to 180 degrees.
180 - 36.2 - 98 = 45.8 degrees
Some homeowners were asked which kind of repair they made on their home most recently. The table shows the data collected.
https://drive.google.com/file/d/17Wp9HutlLw2lYR0PprYIiulhiIB7ZskN/view?usp=drive_link
Which kind of repair represents the mode of the data in the table?
A) Roof
B) Windows
C) Plumbing
D) Air Conditioner
What is C) Plumbing.
MODE describes the value that appears most frequently in a set of data.
What is the value of the expression shown?
|7|
A) -7
B) 7
C) -1/7
What is B) 7.
The table shows the relationship between h, the number of hours Traci worked and p, the amount she was paid for working those hours.
https://drive.google.com/file/d/1vxFM920YzDc-UMf9yQj_lPjBm9sczMmw/view?usp=drive_link
Which equation represents the relationship between h and p?
A) p = 15h
B) p = h + 2.5
C) h = p + 2.5
D) h = 15p
What is A) p = 15h.
Amount paid = (pay per hour)h
$120 = $15 x h
Ricardo plans to pay for college by using his savings along with scholarships, grants, and work study programs. Which source of funding does Ricardo have the greatest amount of personal control over?
A) Savings
B) Scholarships
C) Grants
D) Work-study programs
What is A) Savings.
A person has 100% control over their savings. The rest of the sources depend on others' choosing Ricardo to be a recipient.
How many liters is 250 milliliters?
A) 0.025 L
B) 2.5 L
C) 0.25 L
D) 25,000 L
What is C) 0.25 L.
The pressure in a tank was compared to standard each morning for 5 days. The table shows the data recorded.
https://drive.google.com/file/d/13GmKZZSs2GcXmpo4i9sKYw0a3mvIkBxF/view?usp=drive_link
Which list shows the values in the table from least to greatest?
A) 0.08 0.13 -0.18 -0.2 -1.3
B) 0.08 0.13 -0.02 -1.3 -0.18
C) -1.3 -0.2 -0.18 0.08 0.13
D) -1.3 -0.18 0.13 0.08 -0.2
What is C) -1.3 -0.2 -0.18 0.08 0.13
A student is drawing a ray on the number line shown to represent the solution to the inequality 10x > 60.
https://drive.google.com/file/d/1F7YeEKfENijNHSGswib-ExH7qtcMicVC/view?usp=drive_link
Answer all three Questions with A or B.
What is A) an open circle placed on 6.
What is B) is not part of the solution set.
What is A) the ray should point to the left.