question

Step 1: -10 + 8x < 6x - 4
Step 2: -10 < -2x - 4
Step 3: -6 < -2x
Step 4: ________
What is the final step in solving the inequality -2(5 - 4x) < 6x - 4?

answer

x < 3

question

What value of x is in the solution set of 9(2x + 1) < 9x - 18?

answer

-1

question

Which number line represents the solution set for the inequality 3(8 - 4x) < 6(x - 5)?

answer

B

question

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

answer

Not 2

question

What value of x is in the solution set of 2(3x - 1) β₯ 4x - 6?

answer

-1

question

Which number line represents the solution set for the inequality -4(x + 3) β€ -2 - 2x?

answer

A

question

Which is a correct first step in solving 5 - 2x < 8x - 3?

answer

5 < 10x - 3

question

Which number line represents the solution set for the inequality 2x - 6 β₯ 6(x - 2) + 8?

answer

Not D

question

What value of x is in the solution set of -5x - 15 > 10 + 20x?

answer

1

question

Which are correct representations of the inequality 6x β₯ 3 + 4(2x - 1)? Check all that apply.

answer

Not
2
3

question

Solve the inequality.
2(4 + 2x) β₯ 5x + 5?
x β€

answer

3

question

What value of x is in the solution set of 3(x - 4) β₯ 5x + 2?

answer

Not 5

question

Which number line represents the solution set for the inequality -1/4x β₯ 4?

answer

B

question

Step 1: Subtract 3 from both sides of the inequality.
Step 2: __________
Step 3: Divide both sides of the inequality by the coefficient of x.
What is the missing step in solving the inequality 5 - 8x < 2x + 3?

answer

Add 8x to both sides of the inequality.

question

Which is a correct first step in solving the inequality -4(2x - 1) > 5 - 3x?

answer

Distribute -4 to get -8x + 4 > 5 - 3x.

question

Solve the inequality.
2(4x - 3) β₯ -3(3x) + 5x?

answer

x β₯ 0.5

question

What is a correct first step in solving the inequality -4(3 - 5x)β₯ -6x + 9?

answer

-12 + 20x β₯ -6x + 9

question

The inequality graphed below represents the ages, a, of players on a baseball team.
Which inequality represents the same ages?

answer

12 β€ a < 18

question

Which compound inequality is represented by the graph?

answer

-3 β€ x < 1

question

A chef knows that ground beef used for hamburger is safe to eat once it reaches 160 degrees Fahrenheit. For optimized taste and safety, he will not allow a hamburger cooked to a temperature under 160 degrees or over 170 degrees to be served. Which graph represents the conditions under which the chef will not allow the hamburger to be served?

answer

A

question

Which graph represents the compound inequality?
-3 < n < 1

answer

D

question

The weight of a box of cereal can vary by of an ounce and still be sold as a full box. Each box is supposed to contain 18 ounces of cereal. Which graph represents the possible weights of boxes that are overfilled or underfilled?

answer

B

question

In order to avoid heavy traffic, Antonio can drive home after working less than 7 hours (h < 7) or after working more than 9 hours (h >9). How can these inequalities be written as one statement?

answer

h < 7 or h > 9

question

Which scenario can be modeled using the graph below?

answer

A temperature range is within 5 degrees of 60 degrees Fahrenheit.

question

Which graph represents the compound inequality?
h β₯ -5 and h < 2

answer

B

question

To support a shelf, the diameter of a bolt can measure anywhere from 0.2 cm less than 1.5 cm to 0.2 cm greater than 1.5 cm. Which graph represents the possible measures of the diameter of the bolt?

answer

A

question

Which situation could be represented by the graph?

answer

Not Students in the children's choir are at least 8 years old but no more than 11 years old.

question

Which graph represents the solution to the compound inequality?
-6 < 3x - 12 β€ 9

answer

Not A

question

Phyllis solved the compound inequality 16 < 2(3x - 1) < 28. She began by first breaking the inequality into two separate inequalities, then she correctly solved each for x.
16 < 2(3x - 1) and 2(3x - 1) < 28
3 < x x < 5
Which graph represents her solution?

answer

A

question

Which values are in the solution set of the compound inequality? Check all that apply.
4(x + 3) β€ 0 or x + 1 > 3

answer

Not
-3
8

question

The cost of one pound of bananas is greater than $0.41 and less than $0.50. Sarah pays $3.40 for x pounds of bananas. Which inequality represents the range of possible pounds purchased?

answer

Not 0.41 < 3.40x < 0.50

question

Ava solved the compound inequality + 7 < -1 or 2x - 1 β₯ 9 for all possible values of x. She determines that the two inequalities below create the solution set for the compound inequality.
x < -32 or x β₯ 5
Which graph represents the solution set?

answer

B

question

Solve for x.
0 β€ 3x - 6 β€ 18

answer

2 β€ x β€ 8

question

Which is the best interpretation of the solution set for the compound inequality?
3(2x + 1) > 21 or 4x + 3 < 3x + 7

answer

Not
3 < x < 4

question

Which compound inequality has no solution?

answer

Not
x β€ -1 and 5x β€ 5

question

Mrs. Sawyer estimates that a quiz will take students no fewer than 11 minutes but no more than 41 minutes to complete. She allots 1 minute for passing out the papers and instructions and then students will complete a 20-question quiz. Which compound inequality represents x, the average amount of time a student spends on each question?

answer

Not
1 + 20x β₯ 11 or 1 + 20x β€ 41

question

Which graph represents the solution set of the compound inequality below?
x + 3 < (4x - 12) < 20

answer

Not C

question

The solutions to the inequality y > β3x + 2 are shaded on the graph. Which point is a solution?

answer

(0,2)

question

Which description of the graph of the linear equality y β₯ 7x - 4 is correct?

answer

The graph will be a solid line with a y-intercept of negative four and a slope of seven. The graph will be shaded above the line

question

Which linear inequality is represented by the graph?

answer

y > 3x + 2

question

Which linear inequality is represented by the graph?

answer

y β₯ 1/3x β 1

question

Which linear inequality is represented by the graph?

answer

y β€ 1/2x + 2

question

Which linear inequality is represented by the graph?

answer

y β€ 1/3x - 4

question

Which points are solutions to the linear inequality y < 0.5x + 2? Check all that apply.

answer

(-3, -2)
(-1, -2)
(1, -2)
(1, 2)

question

Which is the graph of the linear inequality y < 3x + 1?

answer

D

question

Which linear inequality is represented by the graph?

answer

y β€ 1/3x - 1.3

question

Which is the graph of the linear inequality 2x - 3y < 12?

answer

C

question

Which shows the graph of the solution set of y > -1/2x - 3?

answer

B

question

Which shows the graph of the solution set of 2x + y < 4?

answer

C

question

Last year, Jess saw x dramas and y comedies at the movie theater. If she went to the theater no more than 8 times, which inequality best represents the number of movies she saw?

answer

Not x + y < 8

question

On a final exam, each multiple-choice question is worth 4 points and each word problem is worth 8 points. Lorenzo needs at least 50 points on the final to earn a "B" in the class. Which inequality represents x, the number of correct multiple-choice questions, and y, the number of correct word problems, he needs to earn a "B"?

answer

Not
4x + 8y β€ 50

question

Hamburgers cost $2.50 and cheeseburgers cost $3.50 at a snack bar. Ben has sold no more than $30 worth of hamburgers and cheeseburgers in the first hour of business. Let x represent the number of hamburgers and y represent the number of cheeseburgers. The inequality 2.50x + 3.50y β€ 30 represents the food sales in the first hour.
If Ben has sold 4 cheeseburgers, what is the maximum value of hamburgers Ben could have sold?
Ben could have sold no more than ____ hamburgers.

answer

6

question

A snack tray at a party has cheese squares with 2 grams of protein apiece and turkey slices with 3 grams of protein apiece. Which inequality represents the possible ways Nina can eat 12 or more grams of protein, if x is the number of cheese squares that she eats and y is the number of turkey slices that she eats?

answer

12 β€ 2x + 3y

question

Mr. Ishimoto ordered x new math books and y new workbooks for his class. The total weight of the box of books cannot be more than 50 pounds. If each math book weighs 3.2 pounds and each workbook weighs 0.8 pounds, which inequality represents the maximum number of each type of book that can be shipped in a single box?

answer

3.2x + 0.8y β€ 50

question

At lunch, Kira eats either a burrito containing 490 milligrams of sodium or a peanut butter sandwich containing 700 milligrams of sodium. Her doctor told her to reduce her sodium to no more than 4,000 milligrams per week. Which inequality represents x, the number of microwave burritos, and y, the number of peanut butter sandwiches, she can eat each week?

answer

490x + 700y β€ 4000

question

Which shows the graph of the solution set of 3y - 2x > -18?

answer

D

question

Which shows the graph of the solution set of y < -4x + 3?

answer

D

question

Which is true about the solution to the system of inequalities shown?
y < 1/3x - 1
y < 1/3x - 3

answer

All values that satisfy y < 1/3x - 3 are solutions.

question

Which ordered pair makes both inequalities true?
y < 3x - 1
y > -x + 4

answer

Not (2,1)

question

Which ordered pairs are in the solution set of the system of linear inequalities?
y > -1/2x
y < 1/2x + 1

answer

(5, -2), (3, 1), (4, 2)

question

Which ordered pair makes both inequalities true?
y > -3x + 3
y > 2x - 2

answer

(2,2)

question

Which system of linear inequalities is represented by the graph?

answer

Not
y > x + 2 and x + 2y < 4

question

Which number completes the system of linear inequalities represented by the graph?
y > 2x - 2 and x + 4y >

answer

-12

question

Which ordered pairs make both inequalities true? Check all that apply.
y < 5x + 2
y > 1/2x + 1

answer

Not
(0, 2)
(2, 2)

question

Which system of linear inequalities is represented by the graph?

answer

y > x - 2 and y < x + 1

question

Which graph shows the solution to the system of linear inequalities?
y < 2x - 5
y > -3x + 1

answer

B

question

Which system of linear inequalities is represented by the graph?

answer

y > 2/3x + 3 and y < -1/3x + 2