# Unit 4: Coordinating Algebra Ya

## Unlock all answers in this set

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?
x < 3
question
What value of x is in the solution set of 9(2x + 1) < 9x - 18?
-1
question
Which number line represents the solution set for the inequality 3(8 - 4x) < 6(x - 5)?
B
question
What value of x is in the solution set of 2x - 3 > 11 - 5x?
Not 2
question
What value of x is in the solution set of 2(3x - 1) β₯ 4x - 6?
-1
question
Which number line represents the solution set for the inequality -4(x + 3) β€ -2 - 2x?
A
question
Which is a correct first step in solving 5 - 2x < 8x - 3?
5 < 10x - 3
question
Which number line represents the solution set for the inequality 2x - 6 β₯ 6(x - 2) + 8?
Not D
question
What value of x is in the solution set of -5x - 15 > 10 + 20x?
1
question
Which are correct representations of the inequality 6x β₯ 3 + 4(2x - 1)? Check all that apply.
Not 2 3
question
Solve the inequality. 2(4 + 2x) β₯ 5x + 5? x β€
3
question
What value of x is in the solution set of 3(x - 4) β₯ 5x + 2?
Not 5
question
Which number line represents the solution set for the inequality -1/4x β₯ 4?
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?
Add 8x to both sides of the inequality.
question
Which is a correct first step in solving the inequality -4(2x - 1) > 5 - 3x?
Distribute -4 to get -8x + 4 > 5 - 3x.
question
Solve the inequality. 2(4x - 3) β₯ -3(3x) + 5x?
x β₯ 0.5
question
What is a correct first step in solving the inequality -4(3 - 5x)β₯ -6x + 9?
-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?
12 β€ a < 18
question
Which compound inequality is represented by the graph?
-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?
A
question
Which graph represents the compound inequality? -3 < n < 1
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?
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?
h < 7 or h > 9
question
Which scenario can be modeled using the graph below?
A temperature range is within 5 degrees of 60 degrees Fahrenheit.
question
Which graph represents the compound inequality? h β₯ -5 and h < 2
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?
A
question
Which situation could be represented by the graph?
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
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?
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
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?
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?
B
question
Solve for x. 0 β€ 3x - 6 β€ 18
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
Not 3 < x < 4
question
Which compound inequality has no solution?
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?
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
Not C
question
The solutions to the inequality y > β3x + 2 are shaded on the graph. Which point is a solution?
(0,2)
question
Which description of the graph of the linear equality y β₯ 7x - 4 is correct?
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?
y > 3x + 2
question
Which linear inequality is represented by the graph?
y β₯ 1/3x β 1
question
Which linear inequality is represented by the graph?
y β€ 1/2x + 2
question
Which linear inequality is represented by the graph?
y β€ 1/3x - 4
question
Which points are solutions to the linear inequality y < 0.5x + 2? Check all that apply.
(-3, -2) (-1, -2) (1, -2) (1, 2)
question
Which is the graph of the linear inequality y < 3x + 1?
D
question
Which linear inequality is represented by the graph?
y β€ 1/3x - 1.3
question
Which is the graph of the linear inequality 2x - 3y < 12?
C
question
Which shows the graph of the solution set of y > -1/2x - 3?
B
question
Which shows the graph of the solution set of 2x + y < 4?
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?
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"?
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.
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?
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?
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?
490x + 700y β€ 4000
question
Which shows the graph of the solution set of 3y - 2x > -18?
D
question
Which shows the graph of the solution set of y < -4x + 3?
D
question
Which is true about the solution to the system of inequalities shown? y < 1/3x - 1 y < 1/3x - 3
All values that satisfy y < 1/3x - 3 are solutions.
question
Which ordered pair makes both inequalities true? y < 3x - 1 y > -x + 4
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
(5, -2), (3, 1), (4, 2)
question
Which ordered pair makes both inequalities true? y > -3x + 3 y > 2x - 2
(2,2)
question
Which system of linear inequalities is represented by the graph?
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 >
-12
question
Which ordered pairs make both inequalities true? Check all that apply. y < 5x + 2 y > 1/2x + 1
Not (0, 2) (2, 2)
question
Which system of linear inequalities is represented by the graph?
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
B
question
Which system of linear inequalities is represented by the graph?