lesson 1 math

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Walden University *

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1030

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Mathematics

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Apr 3, 2024

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if the signs match (both positive or both negative) the answer is positive. If the signs don't match (one positive and one negative), the answer is negative. Select the expression that is correctly evaluated.

Order of operations The correct order of operations is Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction, otherwise referred to by the acronym PEMDAS. PEMDAS An acronym used to remember the order of operations: parentheses, exponents, multiplication, division, addition, subtraction. 12 – (5 – 3) 3 + 4(3) answer is 16 (-5)² + 12 ÷ 3 × 2 answer is 33

7 + 8 × (3 + 2) ÷ 10 – 1 answer is 10 8*5=40 / 10 = 4 7+4-1=10 answer is

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is the answer be expressed as (x − 8)(x − 4). X2 - x4 -x8- 32 x2-12x-32 When Melissa does inventory at work with her coworker, it takes her 30 minutes less than when she does inventory by herself.

.35 as a fraction is: decimal to fraction Absolute Change = new value minus original value 255-260 255-260

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255new -260old divided by old value 255-260/260

Test 1 17/19 1 Your boss informs you that your bonus this year will be 2.25 times what it was last year. You want to know what percentage this is equal to. Convert 2.25 to a percent.  22.5%  2.25%  0.225%  225% 2 Ariana needs to calculate the following set of numbers for trip she’s planning: 14.5 + 0.34 − 3 − 7.03241 Select the correct answer.  4.12759  7.86759  7.50759  4.80759 3 Select the expression that is correctly evaluated.  (-5)¹ = 5  (-4)² = -16  2⁵ = 10  2³ = 8

Report an issue with this question 4 Select the option with the lowest unit price for dog food.  15 lb. bag at $21.99  35 lb. bag at $52.19  8 lb. bag at $11.89  50 lb. bag at $76.49 5 Your friend gives you $15 and then forgives a $4 debt that you owe her. To understand your finances, evaluate the following expression: 15 − (-4)  -11  11  19  -19 RATIONALE For subtraction of negative numbers, you can change the problem to an addition problem by “switching the signs:” adding the opposite of the number after the subtraction sign. Our expression. Add the opposite of -4. Same sign; add 15 + 4. 19 Keep the sign (in this case, positive). 6

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You are training for a triathlon. This week, you ran 8.725 miles a day for three days. You also swam 0.82 miles a day for two days. How many miles did you train in each type of activity?  You ran 26.175 miles and you swam 1.64 miles.  You ran 26.175 miles and you swam 0.164 miles.  You ran 26.175 miles and you swam 16.4 miles.  You ran 261.75 miles and you swam 16.4 miles. 7 To improve your productivity, simplify the following expression using the distributive property. (x + 3)(x + 7)  x² + 10x + 21  2x² + 21x + 4  x² + 4x + 10  2x² + 4x + 21 8 9 You are planning a conference and need to stay on budget. The venue you are looking at charges a $250 flat fee for the room and $15 per attendee for lunch. Select the expression that will help you figure out the total cost.  250 + 15x  250 + 15 + x  15(250 + x)  x(250 + 15) 10

You decide chocolate chip cookies are perfect when there are 10 chips per 3 cookies. If you bake 15 cookies, how many chocolate chips do you need?  30 chocolate chips  45 chocolate chips  50 chocolate chips  15 chocolate chips 11 Which of the following is an integer?  Pi (π)   0  3.175 12 Dmitri is an analyst for a political campaign who wants to know if his candidate is popular among young voters. His polling team asked a sample of 160 potential voters, between the ages of 18 and 24, if they support Dmitri's candidate. The survey showed that 45% of young people support his candidate. How many people in the sample support Dmitri's candidate?  72 people  81 people  88 people  64 people 13

Convert into a decimal.  4.36  14 Yani is making a cake. The recipe calls for a cup of sugar total. of the sugar goes into the frosting. How much sugar goes into the cake batter? Evaluate the expression: 15 Combine all like terms to simplify the following expression. 7x³ − 9 + 2x + x + 5  10x⁵ − 4  10x − 14  7x³ + 3x – 4 *****   7x³ + 2x² + 4 RATIONALE When combining like terms, we need to find terms that have the same variables, with each variable having the same exponent. In this expression, we can combine 2x and x to get 3x by adding their coefficients. Next, we can combine the constant terms, -9 and 5, which combine to -4 and 7x³ cannot be combined with any other terms. CONCEPT Combining Like Terms: Integer Coefficients Report an issue with this question 16

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You are painting a room in your house. You have gallons of paint, and each wall takes gallon. Evaluate the expression to determine how many walls can be painted:  3 walls  walls  walls  walls RATIONALE To multiply fractions, convert the mixed fractions into improper fractions, multiply the numerators and denominators, and simplify the answer. The expression Convert the mixed fraction into an improper fraction by multiplying the whole number (1) by th (3) (1 x 3 = 3) and adding the numerator (2); 3 + 2 = 5. The mixed fraction can be written Flip the fraction to multiply by the reciprocal. Multiply across the numerators and denominators; 5 times 5 equals 25, 3 times 2 equals 6. Convert the improper fraction back to a mixed fraction by dividing 25 by 6, which equals . CONCEPT Multiplication and Division of Fractions Report an issue with this question 17

Evaluate the following expression using the order of operations. 10 ÷ 2 + (6 − 3)³ + 2(4)  48  17  24  40 RATIONALE The expression Following PEMDAS, first, evaluate the operations in the parentheses; 6 minus 3 is 3. Next, evaluate exponents; 3³ is 27. Move on to multiplication or division in the order they appear from left to right; 10 divided by 2 times 4 is 8. Finally, addition and subtraction. 5 plus 27 plus 8 is 40. CONCEPT Order of Operations Report an issue with this question 18 A track coach uses a stopwatch to record how fast his star runner completes a 1500-meter race. At the first track meet, he records a time of 260 seconds. At the next track meet, he records a time of 255 seconds. What is the relative change in his star runner’s 1500-meter race time?  -1.92%  -1.96%  1.92%  1.96%

RATIONALE The relative change between two values is equal to the absolute change between the values divided by the original value. Recall that the absolute change is equal to the new value minus the original value. If the original race time is 260 seconds and the second race time is 255 seconds, then the absolute change is: Therefore, the relative change is: CONCEPT Absolute Change and Relative Change Report an issue with this question 19 Which of the following equations is correctly calculated?  6(-2) = 12  -24 ÷ 3 = 8  (-5)(-5) = 25  -18 ÷ -2 = -9 RATIONALE When multiplying and dividing integers, if the signs match, the answer will be positive. If the signs don’t match, the answer will be negative. (- 5)(-5) = 25 is the only equation that applies this rule correctly.

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lesson 1 math

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