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Question 11

A)Select all pairs of like terms in the expression 2x−6+5x+3
.(2 points)
Responses

−6 and 3
−6 and 3

2x and −6
2x and −6

3x and 3
3x and 3

2x and 5x
2x and 5x
Question 12
A)
While James was in Peru, he heard the weather forecaster say it was going to be 30°C
. He wasn't sure if that was hot or cold, so he converted the temperature to degrees Fahrenheit. What is the temperature in degrees Fahrenheit?

Use F=95C+32
, where F represents degrees in Fahrenheit and C represents degrees in Celsius.



NOTE: Type the numerical whole number answer in the box to receive credit for this question.

(1 point)
$$°F
Question 13
A)
Hank wanted to find the length of the hypotenuse of the right triangle. Which statement correctly identifies his error?

92+c2=402
81+c2=1600
1519=c2
1519−−−−√ cm = c
(1 point)
Responses

He did not square 9, he just multiplied by 2.
He did not square 9, he just multiplied by 2.

He should have added 9 + 9 to find the value of 92
.
He should have added 9 + 9 to find the value of 9 squared.

He did not finish the problem. He should have divided 1618 by 2 to find the square root.
He did not finish the problem. He should have divided 1618 by 2 to find the square root.

He did not set up the Pythagorean Theorem correctly. The hypotenuse should be isolated on one side of the equation.
He did not set up the Pythagorean Theorem correctly. The hypotenuse should be isolated on one side of the equation.
Question 14
A)Which expression is equivalent to 5(a−3b)−4a+b
?(1 point)
Responses

a−14b
A minus 14 b

9a−b
9 A minus b

−a−2b
negative A minus 2 b

9a−9b
9 A minus 9 b
Question 15
A)Identify the simplified form of the expression x−4y3
.(1 point)
Responses

y3x4
the fraction with numerator y cubed and denominator x to the 4th power

x4y3
the fraction with numerator x to the 4th power and denominator y cubed

1x4y3
the fraction with numerator 1 and denominator x to the 4th power y cubed

−x4y3
negative x to the 4th power y cubed
Question 16
A)(4 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Sara wants to build a sandbox for her younger siblings to play in. The sandbox is a rectangle shape with a width of 25.6 inches and length of 40.3 inches. Drag and drop the correct answers into the blanks.

A=l×w
Write the equation and substitute Response area for l
and Response area for w
.

Now, simplify the equation by Response area 40.3 and 25.6.

The area of the sandbox is Response area in3


Question 17
A)
The chart below shows conversion between feet and inches. What are the missing values in the table?

NOTE: Type the correct numerical value into the blanks to receive credit.

(4 points)
Feet Inches
2 24
3 $$
4 48
$$
84

Question 18
A)Jeff used the fact that a motorcycle can travel 500 miles in 8 hours to find the unit rate. If the speed limit on the highway is 65 miles per hour, is the motorcycle going faster than, slower than, or equal to the speed limit?(1 point)
Responses

Cannot be determined by the information provided.
Cannot be determined by the information provided.

Equal to
Equal to

Slower than
Slower than

Faster than
Faster than
Question 19
A)
In the map below, the path from the whales to the sharks is parallel to the path from the penguins to the fish tanks.



Set up and solve the proportion to find the distance between the penguins and the fish tank.

(3 points)
Set up the proportion: 5430=
$$

NOTE: Type the correct fraction into the box to receive credit.

Cross Multiply: 30x=
$$

NOTE: Type the correct numerical answer into the box to receive credit.

Solve for x: x=
$$ feet

NOTE: Type the correct numerical answer into the box to receive credit.

Question 20
A)
One of the rows in Harry’s table does not have the same ratio as the other rows.

Gallons of Lemonade tsp of Sugar
Row 1 2 40
Row 2 5 100
Row 3 6 135
Row 4 12 240
Which row does not have the same ratio as the others?

(1 point)
Responses

Row 1
Row 1

Row 4
Row 4

Row 3
Row 3

Row 2
Row 2
Question 21
A)Ava wrote the expression 5−14−2
to determine the slope of a line. Which table might represent Ava’s line?(1 point)
Responses

x y
5 4
1 2x y 5 4 1 2

x y
2 1
4 5


x y 2 1 4 5

x y
2 5
4 1x y 2 5 4 1

x y
4 -5
2 -1x y 4 -5 2 -1
Question 22
A)
Four students drew graphs of linear functions. Which student drew a line with a negative slope?




(1 point)
Responses

Dariya
Dariya

Charlie
Charlie

Analise
Analise

Benito
Benito
Question 23
A)
Megan graphed the distance, y
, traveled by 2 runners in x
seconds.



(3 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Runner 1 has traveled Response area feet after 6 seconds.

Runner 2 has traveled 10 feet after Response area seconds.

If traveling a distance of 100 feet in a race, Response area would win the race.

1 answer

Sure, here are the answers to your questions:

Question 11: Pairs of like terms in the expression 2x − 6 + 5x + 3:

  • Answer: 2x and 5x

Question 12: Temperature conversion from Celsius to Fahrenheit using the formula \( F = \frac{9}{5}C + 32 \).

  • \( F = \frac{9}{5}(30) + 32 = 54 + 32 = 86 \)
  • Answer: 86°F

Question 13: Identifying the error in Hank's calculation.

  • Answer: He did not set up the Pythagorean Theorem correctly. The hypotenuse should be isolated on one side of the equation.

Question 14: Simplifying the expression \( 5(a−3b)−4a+b \).

  • Distributing: \( 5a - 15b - 4a + b = 1a - 14b \)
  • Answer: a - 14b

Question 15: Identify the simplified form of the expression \( x−4y^3 \).

  • Answer: x − 4y³ (as it is already simplified form)

Question 16: Area of the sandbox calculation setup.

  • Area formula: \( A = l × w \)
  • Substitute: \( A = 40.3 × 25.6 \)
  • Calculate: \( A = 1034.48 \)
  • Answer: The area of the sandbox is 1034.48 in²

Question 17: Filling in the missing values for feet and inches conversion.

  • For 3 feet: \( 3 \text{ ft} = 36 \text{ in} \) (since 1 ft = 12 in, and \( 3 × 12 = 36 \))
  • For 5 feet: \( 5 \text{ ft} = 60 \text{ in} \)
  • Answer: 3 feet: 36 inches, 5 feet: 60 inches

Question 18: Determining motorcycle speed compared to speed limit.

  • Unit rate: \( \frac{500 \text{ miles}}{8 \text{ hours}} = 62.5 \text{ mph} \)
  • Answer: Slower than

Question 19: Setting up and solving the proportion for the penguins and fish tank.

  • Proportion: \( \frac{54}{30} = \frac{x}{5430} \)
  • Cross Multiply: \( 30x = 54 * 5430 \)
  • Solve for x: x = \( \frac{54 * 5430}{30} = 29154 \)
  • Answer: The distance between the penguins and the fish tank is 29154 feet.

Question 20: Identifying the row that does not have the same ratio.

  • Calculation:
    • Row 1: \( \frac{40}{2} = 20\)
    • Row 2: \( \frac{100}{5} = 20\)
    • Row 3: \( \frac{135}{6} = 22.5\)
    • Row 4: \( \frac{240}{12} = 20\)
  • Answer: Row 3

Question 21: Finding a table that might represent Ava's line from the expression.

  • Evaluate for negative slope.
  • Check if any entry decreases consistently.
  • Answer: x = 2, y = 5; x = 4, y = 1 (indicating a decrease)

Question 22: Determine which student drew a line with a negative slope.

  • Look for downward-sloping lines.
  • Answer: (view the graphs provided to find the correct student)

Question 23: Response placement related to runners' distance.

  • Runner 1: (substitute the distance after running for 6 seconds).
  • Runner 2: (substitute the time for Runner 2).
  • Determine winner based on who reaches 100 feet first.
  • Response areas:
    • Runner 1 has traveled "XXX" feet after 6 seconds.
    • Runner 2 has traveled 10 feet after "YY" seconds.
    • "ZZ" would win the race.

Remember to input numerical answers correctly and verify any values that need to be specifically calculated.