unit
Anastasia uses the equation p = 0.7(rh + b) to estimate the amount of take-home
pay, p, for h hours worked at a rate of r dollars per hour and any bonus received,
b.
What is an equivalent equation solved for h?
h = (- b)÷ r
h=-b÷r
h=÷r-b
h = ÷ r - ANS - A
\Bodhi has a collection of 175 dimes and nickels. The collection is worth $13.30.
Which equation can be used to find n, the number of nickels in the collection?
0.1n + 0.05(n - 175) = 13.30
0.1n + 0.05(175 - n) = 13.30
0.1(n - 175) + 0.05 = 13.30
0.1(175 - n) + 0.05n = 13.30 - ANS - B
\Deepak wrote out the steps to his solution of the equation - 3x - 5 + 4x = -.
Which step has an incorrect instruction?
Step 1
Step 2
Step 3
Step 4 - ANS - A
\Four cups of a salad blend containing 40% spinach is mixed with an unknown
amount of a salad blend containing 55% spinach. The resulting salad contains
50% spinach.
How many cups of salad are in the resulting mixture?
8
9
12
13 - ANS - C
\Fuji apples cost $3.00 per pound, and Golden Delicious apples cost $2.00 per
pound. A childcare center purchases 30 pounds of a combination of the two
types of apples for a total of $80.
Which value could replace x in the table?
30 - g + g
3(30 - g)
30 - g(3)
, 30 - g + 3 - ANS - B
\In order to avoid heavy traffic, Antonio can drive home after working less than 7
hours or after working more than 9 hours. How can this be written as a single
compound inequality?
7<h<9
7>h>9
h < 7 or h > 9
h > 7 or h < 9 - ANS - C
\It took Amir 2 hours to hike 5 miles. On the first part of the hike, Amir averaged 3
miles per hour. For the second part of the hike, the terrain was more difficult so
his average speed decreased to 1.5 mile per hour.
Which equation can be used to find t, the amount of time Amir spent hiking
during the second, more difficult part of the hike?
3(2 - t) = 1.5t
3t = 1.5(2 - t)
3t + 1.5(2 - t) = 5
3(2 - t) + 1.5t = 5 - ANS - D
\Johan found that the equation -2|8 - x| - 6 = -12 had two possible solutions: x = 5
and x = -11. Which explains whether his solutions are correct?
He is correct because both solutions satisfy the equation.
He is not correct because he made a sign error.
He is not correct because there are no solutions.
He is not correct because there is only one solution: x = 5. - ANS - B
\Kari and Samantha have determined that their water-balloon launcher works best
when they launch the balloon at an angle within 3 degrees of 45 degrees. Which
equation can be used to determine the minimum and maximum optimal angles of
launch, and what is the minimum angle that is still optimal?
|x - 3| = 45; minimum angle: 42 degrees
|x - 3| = 45; minimum angle: 45 degrees
|x - 45| = 3; minimum angle: 42 degrees
|x - 45| = 3; minimum angle: 45 degrees - ANS - C
\Kate begins solving the equation (6x - 3) = (6x - 4). Her work is correct and is
shown below.
(6x - 3) = (6x - 4)4x - 2 = 3x - 2
When she adds 2 to both sides, the equation 4x = 3x results. Which solution will
best illustrate what happens to x ?
The equation has infinite solutions.
The equation has one solution: x = 0.
The equation has one solution: x = 4/3.
The equation has no solution. - ANS - B
Anastasia uses the equation p = 0.7(rh + b) to estimate the amount of take-home
pay, p, for h hours worked at a rate of r dollars per hour and any bonus received,
b.
What is an equivalent equation solved for h?
h = (- b)÷ r
h=-b÷r
h=÷r-b
h = ÷ r - ANS - A
\Bodhi has a collection of 175 dimes and nickels. The collection is worth $13.30.
Which equation can be used to find n, the number of nickels in the collection?
0.1n + 0.05(n - 175) = 13.30
0.1n + 0.05(175 - n) = 13.30
0.1(n - 175) + 0.05 = 13.30
0.1(175 - n) + 0.05n = 13.30 - ANS - B
\Deepak wrote out the steps to his solution of the equation - 3x - 5 + 4x = -.
Which step has an incorrect instruction?
Step 1
Step 2
Step 3
Step 4 - ANS - A
\Four cups of a salad blend containing 40% spinach is mixed with an unknown
amount of a salad blend containing 55% spinach. The resulting salad contains
50% spinach.
How many cups of salad are in the resulting mixture?
8
9
12
13 - ANS - C
\Fuji apples cost $3.00 per pound, and Golden Delicious apples cost $2.00 per
pound. A childcare center purchases 30 pounds of a combination of the two
types of apples for a total of $80.
Which value could replace x in the table?
30 - g + g
3(30 - g)
30 - g(3)
, 30 - g + 3 - ANS - B
\In order to avoid heavy traffic, Antonio can drive home after working less than 7
hours or after working more than 9 hours. How can this be written as a single
compound inequality?
7<h<9
7>h>9
h < 7 or h > 9
h > 7 or h < 9 - ANS - C
\It took Amir 2 hours to hike 5 miles. On the first part of the hike, Amir averaged 3
miles per hour. For the second part of the hike, the terrain was more difficult so
his average speed decreased to 1.5 mile per hour.
Which equation can be used to find t, the amount of time Amir spent hiking
during the second, more difficult part of the hike?
3(2 - t) = 1.5t
3t = 1.5(2 - t)
3t + 1.5(2 - t) = 5
3(2 - t) + 1.5t = 5 - ANS - D
\Johan found that the equation -2|8 - x| - 6 = -12 had two possible solutions: x = 5
and x = -11. Which explains whether his solutions are correct?
He is correct because both solutions satisfy the equation.
He is not correct because he made a sign error.
He is not correct because there are no solutions.
He is not correct because there is only one solution: x = 5. - ANS - B
\Kari and Samantha have determined that their water-balloon launcher works best
when they launch the balloon at an angle within 3 degrees of 45 degrees. Which
equation can be used to determine the minimum and maximum optimal angles of
launch, and what is the minimum angle that is still optimal?
|x - 3| = 45; minimum angle: 42 degrees
|x - 3| = 45; minimum angle: 45 degrees
|x - 45| = 3; minimum angle: 42 degrees
|x - 45| = 3; minimum angle: 45 degrees - ANS - C
\Kate begins solving the equation (6x - 3) = (6x - 4). Her work is correct and is
shown below.
(6x - 3) = (6x - 4)4x - 2 = 3x - 2
When she adds 2 to both sides, the equation 4x = 3x results. Which solution will
best illustrate what happens to x ?
The equation has infinite solutions.
The equation has one solution: x = 0.
The equation has one solution: x = 4/3.
The equation has no solution. - ANS - B
