Jennifer H.

Pre-Algebra & Algebra Teacher with 5 years of Experience in a Classroom/Tutoring

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Pre-Algebra

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Question:

Solve for x. 5x= 55

Jennifer H.

Answer:

Step #1 Identify the variable (x) Step #2 What is the variable "connected" to? (5) Step #3 How is the variable connected to 5? (through multiplication) Step#4 What's the opposite of multiplication? (division) Step#5 Now we know that we DIVIDE (Step #4) both sides of the equation by 3 (Step#3) 5x = 55 ------------ ---------- 5 5 Step#6 On the left side, the 5 cancels outs. On the right side, 55 divided by 5 equals 11. Step #7 We are left with x = 11

Basic Math

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Question:

a. Round 86,793 to the nearest thousands. b. Round answer from (a) to the nearest ten thousands.

Jennifer H.

Answer:

a. Identify the value in the thousands place. In the case it would be the 6 in 86,793. Then look at the value to the right of the 6- that is the number that will determine if the 6 stays the same or increases by one. If the number to the right of the 6 is 5 or more, the 6 becomes a 7. If the number to the right of the 6 is 4 or less, then the 6 stays the same. In this case, the number next to the 6 is 7- which means the 6 becomes a 7, and zeros follow. Your answer would be 87,000 b. Now we're rounding 87,000 to the nearest ten thousands. Identify the number in the ten thousands place (which is 8) and look at the number to the right (which is 7). That means that the 8 becomes a 9 and then zeros follow. Your answer would be 90,000

Algebra

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Question:

a. Given the information below, create an equation in Point-Slope form. Point= (3,2) Slope= 4 Hint....Point-Slope form: y – y1 = m(x – x1) b. What is the Slope-Intercept form of the equation? Hint... Slope-Intercept form: y=mx+b

Jennifer H.

Answer:

a. Point-slope form is the easiest way to put together an equations when you are provided with two specific pieces of information: a point (x1,y1) and a slope (m). In order to use this form of equation, you have to substitute the values in the point and the slope for the corresponding variables in y – y1 = m(x – x1) Given the information provided, our point-slope equation would be: y - 2 = 4 (3 - x) b. To find the Slope-Intercept version of this ^ equation, you have to keep y=mx+b in mind. First, we need to simplify the right side of the equation. We do this by distributing the 4 into the parentheses. y - 2 = 12 - 4x Next, we need to get the "y" alone on the left side of the equation. To do so you cancel out what ever is crowding the "y" on the left side. In this case it's the "-2". To cancel a value out, you need to do the opposite. The opposite of "-2" is "+2" meaning you add 2 to each side. y = 14 - 4x Lastly, we need to make sure the equation is in the correct format. To do this, we look back to our Slop-Intercept form, y = mx + b. Our equation is not totally aligned with this format (the x value an number value on the right side of equal sign should be switched) Once you do this.. voila! Slope- Intercept Form y = -4x + 14

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