unit

What is the value of n in the equation ? n = 0 n = 2 n = 4 n = 6

2

What value of x is in the solution set of 2x - 3 > 11 - 5x? -3 0 2 4

4

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

A

Solve the inequality. 2(4x - 3) ≥ -3(3x) + 5x? x ≥ 0.5 x ≥ 2 (-∞, 0.5] (-∞, 2]

A

What is the solution to the linear equation? 2/5 + p = 4/5 + 3/5p p = 1 p = 2 p = 8 p = 10

A

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

A

What is the solution to the linear equation? 6k + 10.5 = 3k + 12 k = 0.5 k = 2 k = 7.3 k = 9

A

The tables represent the functions f(x) and g(x). Which input value produces the same output value for the two functions? x = -3 x = -1 x = 0 x = 1

1

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

B

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

B

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.

B

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.

B

The inequality graphed below represents the ages, a, of players on a baseball team. Which inequality represents the same ages? 12 < a ≤ 18 12 ≤ a < 18 12 > a ≤ 18 12 ≥ a < 18

B

The volume, V, of a rectangular prism is determined using the formula V=lwh, where l is the length, w is the width, and h is the height of the prism. Using this formula, what is the width of a rectangular prism that has a volume of 138.24 cubic inches, a height of 9.6 inches, and a length of 3.2 inches? Round to the nearest tenth. 0.2 inches 4.5 inches 46.1 inches 414.7 inches

B

Working together, Rocco and Giulia can paint a room in 3 hours. It would have taken Rocco 7 hours to do the job alone. Which equation can be used to determine r, Giulia's rate of work in parts per hour? 3/7 + 3r = 7 3/7 + 3r = 1 1/7 = r

B

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

C

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

C

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

C

Lily begins solving the equation 4(x - 1) - x = 3(x + 5) - 11. Her work is shown below. 4(x - 1) - x = 3(x + 5) - 11 4x - 4 - x = 3x + 15 - 113x - 4 = 3x + 4 How can her partial solution be interpreted? The equation has one solution: x = 0. The equation has one solution: x = 8. The equation has no solution. The equation has infinite solutions.

C

The formula to convert °F to °C is C = (F - 32). Convert 50°C to °F. 10°F 20°F 122°F 132°F

C

Two cars that are 150 miles apart start driving toward each other on parallel roads. The average speed of the first car is 60 miles per hour. The average speed of the second car is 55 miles per hour. Which equation can be used to determine t, the time it takes for the two cars to pass each other? 60t - 55t = 0 60t + 55t = 1 60t + 55t = 150 60t - 55t = 150

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

D

The area, a, of an ellipse can be determined using the formula a = πxy, where x and y are half the lengths of the largest and smallest diameters of the ellipse. Which is an equivalent equation solved for y? y = a · πx y = a + (πx) y = a - πx y = a ÷ (πx)

D

Which input value produces the same output value for the two functions on the graph? x = -3 x = -1 x = 1 x = 3

D