Question 1

What equation is represented in the model?

Accepted Answer

$7x+5=-10+4x$

Answer

$12x=-6x$

Answer

$5x+7=10-4x$

Answer

$7x+5x=-10x+4x$

Question 2

What is the solution (x-value) of the model?

Accepted Answer

$x= -5$

Answer

$x= 5$

Answer

$x=-\frac{1}{5}$

Answer

$x=\frac{1}{5}$

Question 3

What is the solution (x-value) of $5x - 8 = 3x + 12$?

Accepted Answer

$x=10$

Answer

$x=8$

Answer

$x=5$

Answer

$x=42$

Question 4

Tim is choosing between two cell phone plans that offer the same amount of free minutes. Cingular’s plan charges 39.99 each month with additional minutes costing 0.45 for every minute over the plan. Verizon’s plan costs 44.99 each month with additional minutes at 0.40 for every minute over the plan. What is the equation that represents the problem?

Accepted Answer

$39.99+0.45x=44.99+0.40x$

Answer

$39.99x+0.45=44.99x+0.40$

Answer

$39.99x+0.45x=44.99x+0.40x$

Answer

$39.99+0.45=44.99+0.40$

Question 5

Tim is choosing between two cell phone plans that offer the same amount of free minutes. Cingular’s plan charges $39.99 per month with additional minutes costing $0.45. Verizon’s plan costs $44.99 with additional minutes at $0.40. How many additional minutes, a, will it take for the two plans to cost the same? (find the x-value)

Accepted Answer

x= $100

Answer

x= $0

Answer

x= $84.99

Answer

x= $ 0.01

Question 6

A sunflower is 3 inches tall and grows 1 inch per
week. A rose bush is 4.5 inches tall and grows 0.75
inches per week. Choose an inequality to show
how many weeks, w, it will take for the sunflower to
be taller than the rose bush.

Accepted Answer

3 + w > 4.5 + 0.75w

Answer

4.5 – 3 < 4.5w

Answer

3w + 1 < 4.5w + 0.75

Answer

4.5 + w > 3 + 0.75w

Question 7

Veronica is ordering trophies for her school.
Company P charges $3.50 for each trophy and a
one-time engraving fee of $25. Company R charges
$7.50 for each trophy and a one-time engraving fee
of $17.
Which inequality can be used to find x, the minimum
number of trophies that can be ordered so that the
total charge at Company P is less than the total
charge at Company R?

Accepted Answer

3.5x + 25 < 7.5x + 17

Answer

3.5x + 25 > 7.5x + 17

Answer

3.5 + 25x < 7.5 + 17x

Answer

3.5 + 25x > 7.5 + 17x

Question 8

Which situation can be represented by this equation?

250 + 4x = 540 – 7x

Accepted Answer

Joseph has a bucket that originally contained 250 fl oz of water and is being filled at a rate of 4 fl oz per minute. Kelley has a bucket that originally contained 540 fl oz of water and is being drained at a rate of 7 fl oz per minute. What is x, the number of minutes that need to pass for the two buckets to contain the same amount of water?

Answer

Joseph started with 250 cans of food for a food drive. He collects 4 more cans every day. Kelley started with 540 cans of food for the food drive. She collects 7 more cans every day. What is x, the number of days that need to pass for Joseph and Kelley to have the same number of cans of food?

Answer

Joseph started with $250 in his savings account and spends $7 every week. Kelley started with $540 in her savings account and adds $4 every week. What is x, the number of weeks that need to pass for Joseph and Kelley to have the same amount of money?

Answer

Joseph earns 254 points on each level of a video game. Kelley earns 533 points on each level of the same video game. What is x, the number of levels that Joseph and Kelley would have to play in order for them to have an equal number of points?

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