Worksheets8 HW 53+ALLCAASPP TUE
Total questions: 121
Worksheet time: 18hrs 57mins
-1 x -1 x -1 x 1
What is the volume of a cylinder with a diameter of 12 feet and a height of 60 feet filled to 50%?
What is the slope of the line that passes through the points (1, 2) and (3, 6)?
What do parallel lines have in common regarding their slopes?
The slopes of parallel lines are the same.
The slopes of parallel lines are different.
The slopes of parallel lines are always positive.
The slopes of parallel lines are always negative.
What is the scientific notation for the number 0.000398?
91
−1 32
17
.423
37<5 31
3π>33
5>75
1015>8.38
What is the approximate value of the y-intercept?
What is the approximate value of the slope?
Select the statement that CORRECTLY interprets Sally's solution
The solution is x=0
The solution is the ordered pair (4,7)
There is no solution since 4=7 is a false statement
There are infinitely many solutions since 4=7 is a false statement
Sort which statements are true and which statements are false
Triangle ABC is reflected across the y-axis, followed by a reflection across the x-axis
Triangle ABC is reflected across the x-axis followed by a reflection across the y-axis
Triangle ABC is reflected across the y-axis, then translated down 6 units
Rectangle ABCD is rotated 90 degrees about the origin, then translated 9 units down.
What is the length of A'B'?
The base of the ramp is 45 inches, and the height is 28 inches.
Enter the length, x, of the ramp.
Select the correct value of n for the following equation:
5n = 511 ⋅ 53
n = 33
n = 14
n = 8
n = 311
This graph shows a proportional relationship between the distance traveled by Tim on a road trip and the number of hours for which he traveled. Which statement identifies the correct slope and the correct interpretation of the slope for this situation?
The slope of the line is 150 , so the distance traveled by Tim is 50 miles every hour.
The slope of the line is 150 , so the distance traveled by Tim is 1 mile every 50 hours.
The slope of the line is 501 , so the distance traveled by Tim is 50 miles every hour.
The slope of the line is 501 , so the distance traveled by Tim is 1 mile every 50 hours.
Sally is solving the linear equation,
13 + 4x - 9 = 7x + 7 - 3x.
Her final two steps are:
4 + 4x = 4x + 7
4 = 7
Select the statement that correctly interprets Sally's solution.
The solution is x = 0.
The solution is the ordered pair (4, 7).
There is no solution since 4 = 7 is a false statement.
There are infinitely many solutions since 4 = 7 is a false statement.
Which table of values can be defined by the following function.
y = 4x - 2
David and Karen have a goal to read 10,000 pages together by the end of summer.
- David reads 80 pages every day.
- Karen reads 25% more pages every day than David reads.
David and Karen agree that the model 180d = 10,000 will tell them how many days it will take them to read 10,000 pages, together, by the end of summer.
They invite Rick to read with them to get to their goal faster. Rick reads 35% fewer pages per day than Karen.
Which equation can be used to find how many days it will take David, Karen, and Rick to read 10,000 pages, together, by the end of summer?
232d = 10,000
245d = 10,000
288d = 10,000
315d = 10,000
Marco says that the interior angles of a triangle add up to 180°. He claims that the interior angles of a hexagon must add up to 360° because a hexagon has twice as many vertices as a triangle and can be divided into two triangles. Therefore, its interior angles must sum to twice the value of those of a triangle.
Which statement, if any, explains Marco's error?
A hexagon does not have 6 vertices.
A hexagon can be divided into 4 triangles, not 2.
The interior angles of a triangle do not add up to 180°.
Marco's statement is correct and contains no error.
Jamal states that ax + b = a(x + c), given a, b, and care not equal to 0.
What must be the value of c for Jamal's statement to be true?
a
b
ac
b/a
Select ALL the equations that can be represented by a straight line when graphed on the coordinate plane.
x=16+3y
x=−2y2+7
8x−5y=30
y=−6(x+10)
A biologist tracks the number of bacteria living in a water tank. The biologist used a function that represents the amount of a certain chemical solution that is added to the water.
- When the water has no chemicals, the number of bacteria (b) is 1200 per gallon
- For each tablespoon of the chemical solution (c) added to each gallon of water, the number of bacteria decreases by 75 per gallon.
How much of the chemical, in tablespoons, must be added to a 500-gallon tank to reduce the bacteria count to a safe 300 bacteria per gallon?
4,000 tablespoons
16,000 tablespoons
12,000 tablespoons
6,000 tablespoons
The ratios a:b and b:c are equivalent to one another.
Select ALL the statements that must be true.
a=c
ab=bc
b−a=c−b
a<b and b<c
if a=b, then b=c
Given: y=−31x+5 , the slope is (a) and the y-intercept is (b)
−31
31
13
−13
Match the following.
m=x2−x1y2−y1
slope formula
y=mx+b
slope-intercept form
b in y=mx+b
y-intercept
m in y=mx+b
slope
What is the slope of the line parallel to y=54x−2 ?
Two taxi companies charge a base fee and a rate ( x ) for every mile traveled . The system below shows the total cost ( y ) for both companies .
Company A: y=2.25x+3
Company B: y=3.50x+2
Match the values to what they represent.
Company A rate
2.25
Company A base fee
3
Company B rate
3.50
Company B base fee
2
Use the equation below to match each piece with its appropriate definition
y=5x+2
Constant
2
Coeffecient
5
Variable
y
Draw the two points to make the equation for the following situation:
You start with $12 and then you save $2 each day!
Given: y=−31x+5 , the slope is (a) and the y-intercept is (b)
−31
31
13
−13
Maddie plants a tree that is 6 feet tall outside her house. The label on the tree says it should grow 43 of a foot every year. Write an equation to model y the height of the tree after x years.
Match the following.
m=x2−x1y2−y1
slope formula
y=mx+b
slope-intercept form
b in y=mx+b
y-intercept
m in y=mx+b
slope
What is the slope of the line parallel to y=54x−2 ?
Samantha sells two types of wristbands, rope or beaded.
She charges MORE for BEADED wristbands than for rope wristbands.
The amount of money, in dollars, that she collects from selling X wristbands of one type
and Y wristbands of the other type can be modeled by the expression 5x+8y .
What does each of the following expressions represent in this situation?
5
$ Price of the rope wristbands
x
Number of rope wristbands sold
8
$ Price of the beaded wristbands
y
Number of beaded wristbands sold
Madison bought a pounds of apples and b pounds of bananas and spent a total of $10.38.
The price of apples is $0.60 per pound.
The price of bananas is $1.75 per pound.
Create an equation that models the total amount of money that Madison spends on fruit.
(Do NOT use $ dollar signs in your equation!)
Two taxi companies charge a base fee and a rate ( x ) for every mile traveled . The system below shows the total cost ( y ) for both companies .
Company A: y=2.25x+3
Company B: y=3.50x+2
Match the values to what they represent.
Company A rate
2.25
Company A base fee
3
Company B rate
3.50
Company B base fee
2
Match each equation with the correct attribute
y=−2x+2
Slope = -2
y=2x+6
Y-Intercept = 6
y=−21x+2
Slope = -1/2
y=2x−2
Y-Intercept = -2
y=6x−21
Slope = 6
Use the equation below to match each piece with its appropriate definition
y=5x+2
Constant
2
Coeffecient
5
Variable
y
Alina has $500 in her bank account. Every week she withdraws $45. Write an equation where x represents the number of weeks and y represents the amount of money in her bank account.
Draw the two points to make the equation for the following situation:
You start with $12 and then you save $2 each day!
A bucket holding 20 gallons of water is leaking at a rate of 0.5 gallons per minute. Write a function that could be used to determine the the amount of water in the bucket after x minutes. Not all answers will be used
y = (a) x + (b)
6x - 3y = -9
y-intercept is 9
b=3
y-intercept is -3
b = 2
y = -3x + 4
What is the slope of the line that passes through the points (1, 2) and (3, 6)?
What do parallel lines have in common regarding their slopes?
The slopes of parallel lines are the same.
The slopes of parallel lines are different.
The slopes of parallel lines are always positive.
The slopes of parallel lines are always negative.
What is the scientific notation for the number 0.000398?
6x - 3y = -9
y-intercept is 9
b=3
y-intercept is -3
b = 2
y = -3x + 4
What is the volume of a cylinder with a diameter of 12 feet and a height of 60 feet filled to 50%?
What is the slope of the line that passes through the points (1, 2) and (3, 6)?
What do parallel lines have in common regarding their slopes?
The slopes of parallel lines are the same.
The slopes of parallel lines are different.
The slopes of parallel lines are always positive.
The slopes of parallel lines are always negative.
What is the scientific notation for the number 0.000398?
91
−1 32
17
.423
Draw the two points to make the equation for the following situation:
You start with $12 and then you save $2 each day!
Use the equation below to match each piece with its appropriate definition
y=5x+2
Constant
2
Coeffecient
5
Variable
y
Two taxi companies charge a base fee and a rate ( x ) for every mile traveled . The system below shows the total cost ( y ) for both companies .
Company A: y=2.25x+3
Company B: y=3.50x+2
Match the values to what they represent.
Company A rate
2.25
Company A base fee
3
Company B rate
3.50
Company B base fee
2
What is the slope of the line parallel to y=54x−2 ?
Match the following.
m=x2−x1y2−y1
slope formula
y=mx+b
slope-intercept form
b in y=mx+b
y-intercept
m in y=mx+b
slope
Given: y=−31x+5 , the slope is (a) and the y-intercept is (b)
−31
31
13
−13
The ratios a:b and b:c are equivalent to one another.
Select ALL the statements that must be true.
a=c
ab=bc
b−a=c−b
a<b and b<c
if a=b, then b=c
Select ALL the equations that can be represented by a straight line when graphed on the coordinate plane.
x=16+3y
x=−2y2+7
8x−5y=30
y=−6(x+10)
Select the correct value of n for the following equation:
5n = 511 ⋅ 53
n = 33
n = 14
n = 8
n = 311
This graph shows a proportional relationship between the distance traveled by Tim on a road trip and the number of hours for which he traveled. Which statement identifies the correct slope and the correct interpretation of the slope for this situation?
The slope of the line is 150 , so the distance traveled by Tim is 50 miles every hour.
The slope of the line is 150 , so the distance traveled by Tim is 1 mile every 50 hours.
The slope of the line is 501 , so the distance traveled by Tim is 50 miles every hour.
The slope of the line is 501 , so the distance traveled by Tim is 1 mile every 50 hours.
Sally is solving the linear equation,
13 + 4x - 9 = 7x + 7 - 3x.
Her final two steps are:
4 + 4x = 4x + 7
4 = 7
Select the statement that correctly interprets Sally's solution.
The solution is x = 0.
The solution is the ordered pair (4, 7).
There is no solution since 4 = 7 is a false statement.
There are infinitely many solutions since 4 = 7 is a false statement.
Which table of values can be defined by the following function.
y = 4x - 2
David and Karen have a goal to read 10,000 pages together by the end of summer.
- David reads 80 pages every day.
- Karen reads 25% more pages every day than David reads.
David and Karen agree that the model 180d = 10,000 will tell them how many days it will take them to read 10,000 pages, together, by the end of summer.
They invite Rick to read with them to get to their goal faster. Rick reads 35% fewer pages per day than Karen.
Which equation can be used to find how many days it will take David, Karen, and Rick to read 10,000 pages, together, by the end of summer?
232d = 10,000
245d = 10,000
288d = 10,000
315d = 10,000
Marco says that the interior angles of a triangle add up to 180°. He claims that the interior angles of a hexagon must add up to 360° because a hexagon has twice as many vertices as a triangle and can be divided into two triangles. Therefore, its interior angles must sum to twice the value of those of a triangle.
Which statement, if any, explains Marco's error?
A hexagon does not have 6 vertices.
A hexagon can be divided into 4 triangles, not 2.
The interior angles of a triangle do not add up to 180°.
Marco's statement is correct and contains no error.
Jamal states that ax + b = a(x + c), given a, b, and care not equal to 0.
What must be the value of c for Jamal's statement to be true?
a
b
ac
b/a
Select ALL the equations that can be represented by a straight line when graphed on the coordinate plane.
x=16+3y
x=−2y2+7
8x−5y=30
y=−6(x+10)
A biologist tracks the number of bacteria living in a water tank. The biologist used a function that represents the amount of a certain chemical solution that is added to the water.
- When the water has no chemicals, the number of bacteria (b) is 1200 per gallon
- For each tablespoon of the chemical solution (c) added to each gallon of water, the number of bacteria decreases by 75 per gallon.
How much of the chemical, in tablespoons, must be added to a 500-gallon tank to reduce the bacteria count to a safe 300 bacteria per gallon?
4,000 tablespoons
16,000 tablespoons
12,000 tablespoons
6,000 tablespoons
The ratios a:b and b:c are equivalent to one another.
Select ALL the statements that must be true.
a=c
ab=bc
b−a=c−b
a<b and b<c
if a=b, then b=c
Given: y=−31x+5 , the slope is (a) and the y-intercept is (b)
−31
31
13
−13
Maddie plants a tree that is 6 feet tall outside her house. The label on the tree says it should grow 43 of a foot every year. Write an equation to model y the height of the tree after x years.
Match the following.
m=x2−x1y2−y1
slope formula
y=mx+b
slope-intercept form
b in y=mx+b
y-intercept
m in y=mx+b
slope
What is the slope of the line parallel to y=54x−2 ?
Samantha sells two types of wristbands, rope or beaded.
She charges MORE for BEADED wristbands than for rope wristbands.
The amount of money, in dollars, that she collects from selling X wristbands of one type
and Y wristbands of the other type can be modeled by the expression 5x+8y .
What does each of the following expressions represent in this situation?
5
$ Price of the rope wristbands
x
Number of rope wristbands sold
8
$ Price of the beaded wristbands
y
Number of beaded wristbands sold
Madison bought a pounds of apples and b pounds of bananas and spent a total of $10.38.
The price of apples is $0.60 per pound.
The price of bananas is $1.75 per pound.
Create an equation that models the total amount of money that Madison spends on fruit.
(Do NOT use $ dollar signs in your equation!)
Two taxi companies charge a base fee and a rate ( x ) for every mile traveled . The system below shows the total cost ( y ) for both companies .
Company A: y=2.25x+3
Company B: y=3.50x+2
Match the values to what they represent.
Company A rate
2.25
Company A base fee
3
Company B rate
3.50
Company B base fee
2
Match each equation with the correct attribute
y=−2x+2
Slope = -2
y=2x+6
Y-Intercept = 6
y=−21x+2
Slope = -1/2
y=2x−2
Y-Intercept = -2
y=6x−21
Slope = 6
Use the equation below to match each piece with its appropriate definition
y=5x+2
Constant
2
Coeffecient
5
Variable
y
Draw the two points to make the equation for the following situation:
You start with $12 and then you save $2 each day!
