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Question 1

A)
Which of the following answers gives the best estimate for x given the following equation?

−2x+902=1,518

(1 point)
Responses

−600
negative 600

600
600

300
300

−300
negative 300
Question 2
A)There are three petri dishes in a laboratory. The first one contains 22,340 cells, the second contains 43,560 cells, and the last dish contains 36,612 cells. Approximately how many cells are there in total?(1 point)
Responses

10,000
10,000

1,000,000
1,000,000

150,000
150,000

100,000
100,000
Question 3
A)
Which of the following answers gives the best estimate for x given the following equation?

x50−94=189

(1 point)
Responses

150,000
150,000

15,000
15,000

1,500
1,500

150
150
Question 4
A)A local taqueria sold 11,321 carne asada tacos, 13,132 chicken tacos, and 8,982 carnitas tacos last year. If each taco was sold for $3.89, which value best estimates their total earnings from tacos?(1 point)
Responses

$130,000
$130,000

$33,000
$33,000

$160,000
$160,000

$90,000
$90,000
Question 5
A)
Which of the following answers gives the best estimate for x given the following equation?

21x+1,998=2,243

(1 point)
Responses

10
10

1,000
1,000

100
100

1
1

1 answer

Let's solve each question step by step.

Question 1: Given the equation: \[ -2x + 902 = 1,518 \]

First, isolate \( -2x \): \[ -2x = 1,518 - 902 \] \[ -2x = 616 \]

Now, divide by -2: \[ x = \frac{616}{-2} = -308 \]

The best estimate from the options is: -300

Answer: −300

Question 2: We have the following numbers of cells in petri dishes:

  • Dish 1: 22,340 cells
  • Dish 2: 43,560 cells
  • Dish 3: 36,612 cells

To find the total, we sum the cells: \[ 22,340 + 43,560 + 36,612 \approx 102,512 \]

Estimating, we can round to:

  • 100,000

Answer: 100,000

Question 3: Given the equation: \[ x \cdot 50 - 94 = 189 \]

First, isolate \( x \cdot 50 \): \[ x \cdot 50 = 189 + 94 \] \[ x \cdot 50 = 283 \]

Now, divide by 50: \[ x = \frac{283}{50} \approx 5.66 \]

The best estimate from the options is: 150

Answer: 150

Question 4: The taco sales are:

  • Carne asada tacos: 11,321
  • Chicken tacos: 13,132
  • Carnitas tacos: 8,982

Total tacos: \[ 11,321 + 13,132 + 8,982 \approx 33,435 \]

Now, calculate earnings: \[ 33,435 \times 3.89 \approx 130,000 \]

Answer: $130,000

Question 5: Given the equation: \[ 21x + 1,998 = 2,243 \]

First, isolate \( 21x \): \[ 21x = 2,243 - 1,998 \] \[ 21x = 245 \]

Divide by 21: \[ x = \frac{245}{21} \approx 11.67 \]

The best estimate from the options is: 10

Answer: 10

In summary:

  1. −300
  2. 100,000
  3. 150
  4. $130,000
  5. 10