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Questions and Answers
Solve for x: $8x - 9 = x + 9$
Solve for x: $8x - 9 = x + 9$
18/7
Evaluate $8y + 4$ for $y = 7$
Evaluate $8y + 4$ for $y = 7$
60
Solve: $5x + 1 = 7x - 2$
Solve: $5x + 1 = 7x - 2$
-3/2
Evaluate $6(x - 6) + 4$ for $x = 8$
Evaluate $6(x - 6) + 4$ for $x = 8$
Simplify $7*7 + 15 - 6/2$
Simplify $7*7 + 15 - 6/2$
Evaluate $n*3 + 27/3$ for $n = 3$
Evaluate $n*3 + 27/3$ for $n = 3$
Simplify $8x + 4 + 2x - 7$
Simplify $8x + 4 + 2x - 7$
Solve for x: $-3x + 25 + x + 21 = 2$
Solve for x: $-3x + 25 + x + 21 = 2$
Brandon read 360 words in 12 minutes. How many words could he read in one minute?
Brandon read 360 words in 12 minutes. How many words could he read in one minute?
Evaluate: $- |-12|$
Evaluate: $- |-12|$
Simplify: $-4 + (-13)$
Simplify: $-4 + (-13)$
Simplify: $(-7)(5)(6)$
Simplify: $(-7)(5)(6)$
Simplify: $-4(x - 4)$
Simplify: $-4(x - 4)$
Solve: $8x - 9 = x + 9$
Solve: $8x - 9 = x + 9$
A bus travels 300 miles in 12 gallons of gas. At this rate, how many gallons will it need to travel 650 miles?
A bus travels 300 miles in 12 gallons of gas. At this rate, how many gallons will it need to travel 650 miles?
What percent of 12 is 6?
What percent of 12 is 6?
Of every 5 hotdogs Martha sold, 3 had sauerkraut. What percent of the hotdogs sold had sauerkraut?
Of every 5 hotdogs Martha sold, 3 had sauerkraut. What percent of the hotdogs sold had sauerkraut?
What is the y-intercept of the line with the equation $4x + 9y = -108$?
What is the y-intercept of the line with the equation $4x + 9y = -108$?
Find the slope of the line passing through the points ( -1, 1) and (4, -5)
Find the slope of the line passing through the points ( -1, 1) and (4, -5)
Solve: $5 > -5x + 25$
Solve: $5 > -5x + 25$
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Study Notes
Solving Equations
- Solving for x in 8x - 9 = x + 9 yields x = 18/7.
- For the equation 5x + 1 = 7x - 2, the solution is x = -3/2.
- The equation -3x + 25 + x + 21 = 2 simplifies to x = 22.
Evaluating Expressions
- Evaluate 8y + 4 for y = 7 results in 60.
- For x = 8, 6(x-6)+4 evaluates to 16.
- Evaluating n*3 + 27/3 for n = 3 gives 18.
- The expression -|-12| evaluates to -12.
Simplifying Expressions
- 7*7 + 15 - 6/2 simplifies to 61.
- Simplifying -4 + (-13) results in -17.
- The product (-7)(5)(6) simplifies to -210.
- Simplifying the expression -4(x - 4) results in -4x + 16.
- The expression 8x + 4 + 2x - 7 simplifies to 10x - 3.
Percentages
- To find what percent of 12 is 6, the answer is 50%.
- Of every 5 hotdogs sold, if 3 had sauerkraut, then 60% of the hotdogs sold had sauerkraut.
Coordinate Geometry
- The y-intercept of the line represented by the equation 4x + 9y = -108 is -12.
- The slope of the line connecting points (-1, 1) and (4, -5) is -6/5.
Rates and Proportions
- A bus traveling 300 miles on 12 gallons of gas will need 26 gallons to travel 650 miles.
Inequalities
- Solving the inequality 5 > -5x + 25 results in x > 4.
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