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Back Linear Equations in One Variable Due Sep 4, 11:59 PM WIB Graded Quiz . 30 min . 10 total points 1. True or false? Every linear equation has a solution. 1 point True O False 2. True or false? It is possible for a linear equation to have more than two solutions. 1 point True O False 3. True or false? For all real numbers I and y, la + y| = [z| + lyl- 1 point True O False Find t such that 4t + 3.5 = 12.5. 1 point Enter a number only for your answer (no variable or equals sign). If your answer is not a whole number, write it as a decimal. Enter answer here 5. Solve for 6 in the equation below. 1 point 3 5-96) +6=26-(6+1) Enter a number only for your answer (no variable or equals sign). If your answer is not a whole number, write it as a decimal. Enter answer here 6. The first step to solving an absolute value equation is to write it as two separate equations. 1 point Suppose 5x - 6 = 13. What are the two separate equations that follow from this absolute value equation? 5x - 6 =13 or - 52 +6= -13 5x - 6=13 or 5x - 6= -13 O 5x - 6 =13 or 5x + 6 = 13 5x - 6 =13 or - 5x - 6= 13 7. Solve the absolute value equation 1 point 140 + 1| = 17. Select all solutions below to receive full credit. The equation has no solutions. O v=4 O v= -4.5 Ov= -4 O v=2.5 O v =4.5 Ov= -2.5 . Tripling a number n and adding ten gives a result that is two less than seven times n. 1 point Find n. Enter a number only for your answer (no variable or equals sign). If your answer is not a whole number, write it as a decimal. Enter answer here 9. Ronaldo specializes in creating sewing patterns for dresses, and wants to set up his own website to sell electronic copies. He pays $120 for a domain name and web 1 point hosting services for the first year. Ronaldo makes $14.25 for each electronic pattern that he sells. How many patterns must he sell to cover the cost of the website for the first year? Round your answer to a whole number. Enter a number only for your answer (no variable, equals sign, or units). Enter answer here 10. A nonstop train travels between Pearl River and Hoboken. On its trip south, traveling at a constant speed, it makes it from Pearl River to Hoboken in 1 hour and 6 1 point minutes. On its return trip north, the train increases its speed by 10 miles per hour, and takes 42 minutes to reach Pearl River from Hoboken. What was the train's original speed (on its trip south) in miles per hour? Enter a number only for your answer (no variable, equals sign, or units). If your answer is not a whole number, then write it as a decimal. Enter answer here Upgrade to submitBack Linear Equations in Two Variables Due Sep 4, 11:59 PM WIB Graded Quiz . 30 min - 10 total points 1. Complete the sentence: 1 point The slope of a horizontal line ... is always 0. is always undefined. depends on the points included in the line. 2. True or false? 1 point Every line has both an I-intercept and a y-intercept. True False Find the slope of the line through the points (- 2, 6) and (2, 2) 1 point If your answer is not a whole number, then enter it as a fraction in lowest terms. Preview will appear here... Enter math expression here Find the slope-intercept form equation of the line that passes through the point (-6, 1) and has slope m = - 1 point O y= -3+9 O y= I - O y= - 5. Find an equation for the line that passes through the points (3, -5) and (0, 4). 1 point O y = 3x +4 O y= -57+4 Oy= -32 +4 Oy= =2+4 Find an equation for the line that passes through the points (12. - 2 ) and (-3. - 3). 1 point Oy= -57+3 Oy=-2 Oy= -7+12 O 1= -2 7. Consider the line L given by the point-slope equation y + 7 - 5 (x - 18). 1 point The y-intercept of the line is located at (0, b). What is the value of b? Enter the value only for your answer. If your answer is not a whole number, then enter it as a fraction in lowest terms. Preview will appear here... Enter math expression here 8. Consider the line L given by the point-slope equation y + 7 = 2 (x - 18). 1 point Find the equation of the line that passes through the point (3, 4) and is parallel to L. O y = 3+2 Oy= 27- Oy= -2x + 10 O y = 2x - 2 9. A woman rides a scooter along a straight road leading away from her house. After 10 minutes of riding, she begins to travel at a constant speed. 1 point Let y be the distance from her house (in kilometers), and let I be the time she has been riding (in minutes) since she started traveling at a constant speed. Her distance from home is given by the two variable linear equation y = 12.44 + 0.805x. Which of the following parts of the equation represents her speed? Her speed is represented by the y-intercept, which is 0.805. Her speed is represented by the slope, which is 0.805. Her speed is represented by the y-intercept, which is 12.44. Her speed is represented by the slope, which is 12.44. 10. A train travels along a straight track at a constant speed. Its distance from the station (in miles) at various times (in hours) is given in the table below. 1 point Find the speed of the train, in miles per hour. Enter a number only for your answer (no units). If your answer is not a whole number, then write it as a decimal. I: time (hours) y: distance (miles) 0.25 21 0.5 42 168 3.5 294 15 420 Enter answer here Upgrade to submitBack Properties of Real Numbers Due Aug 28, 11:59 PM WIB Graded Quiz - 30 min . 10 total points 1. Which property was used to write the following equation? 1 point 3 +5 +17 = 5 +17 +3 Associative Property of Multiplication Commutative Property of Addition Associative Property of Addition Commutative Property of Multiplication Distributive Property 2. Which of the operations with real numbers have a commutative property? 1 poin Select all that apply. Addition Subtraction Division Multiplication 3. Suppose you are asked to compute 1 point 7 - 3 + (24 - 12 + 22). Which part of the expression would you compute first? O 22 33 O 7.3 O 12 + 2 O 24 - 12 4. Evalaute: 1 point 30 +5-7+3 -4 Enter answer here 5. Evaluate: 1 point -3 . (5 .2-2+ 2) + (4+6+3) Enter answer here 6. Evaluate: 1 point (22 + 13 -3) - 24 + 4+4 Enter answer here 7. Find the product: 1 point 6 3 30 Enter your answer as a fraction. For example, enter the fraction , as 1/2 Preview will appear here.. Enter math expression here 8. Find the quotient: 1 point 5 15 12 Enter your answer as a fraction. For example, enter the fraction , as 1/2 Preview will appear here... Enter math expression here 9. Find the sum: 1 point 8 Enter your answer as a fraction. For example, enter the fraction , as 1/2 Preview will appear here.. Enter math expression here 10. Evaluate: 1 point (8-3.3) + 12 Enter your answer as a fraction. For example, enter the fraction , as 1/2 Preview will appear here... Enter math expression here Upgrade to submitBack Structure of Numbers Due Aug 28, 11:59 PM WIB Graded Quiz - 30 min - 10 total points 1. True or false? If a number is rational, then it is also an integer. 1 point True O False 2. True or false? If a number is irrational, then it is also a real number. 1 point True O False 3. Which of the following numbers is a natural number? 1 point Select all that apply. 0 12 0 -1 0 1 0 2 4. Which of the following numbers is an integer? 1 point Select all that apply. 10 0 10 0 -10 0 -100 5. Which set of numbers would you use in the following situation? Select the most accurate answer. 1 point Measuring the weight (in tons) of a tractor-trailer. Irrational numbers Real numbers Integers Natural numbers . Which set of numbers would you use in the following situation? Select the most accurate answer. 1 point Determining the value (in dollars) of an investment. Natural numbers O Irrational numbers Rational numbers Integers 7. Which set of numbers would you use in the following situation? Select the most accurate answer. 1 point Counting the inventory of smartphones at an electronics store. Irrational numbers Rational numbers Integers 8. Each of the statements below, except one, is true. 1 point Select the false statement. There exists a number that is both rational and natural. There exists a number that is both natural and real. There exists a number that is both an integer and an irrational number. There exists a number that is both real and irrational. There exists a number that is both a natural number and an integer. Suppose T and y are integers. 1 point Is the sum + + y also an integer? Yes, I + y is an integer. No, I + y is not an integer. 10. Suppose a and b are natural numbers. 1 point Is the quotient a + 6 also a natural number? Yes, a + b is a natural number. No, a + b is not a natural number. Upgrade to submit