Math Chapter 2 Study Guide
Translate the following sentence into an equation- two plus the quotient of a number and 8 is the same as 16.
2 + n/8 = 16
In an equation like the one above, 2 | m - 3x | -p if m = -1, x = 2, and p = 4, when you get to step 3 of the process: 2 | m - 3x | -p 2 | -1 - 3(2) | - 4 2 | -1 - 6| -4 would you: a) distribute the 2 to the numbers inside the brackets b) put the two numbers inside the brackets together before multiplying by 2
B!!!!
What should you always do at the end of every test?
CHECK YOUR WORK FOR SLOPPY MISTAKES AND COMMON ERRORS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
If in an equation with absolute value ends with a negative, what is the answer always going to be? (Example- | 2n + 5 | = -7)
No solution.
In the verbal equation- a number x is decreased by 45. The result is then divided by 12. Then 20 is added to this new result to give a final result of five times the difference of 32 and the number x, what does the word difference mean?
Subtraction; the difference of 32 and x would translate to 32 - x.
Translate the following equation into a verbal sentence- x + 5 = 2(7 + x).
The number x plus 5 is two times the sum of seven and x.
A number is added to 9. The result is then multiplied by 4 to give a new result of 120. What is the number? a) 21 b) 39 c) 489 d) 4(n + 9) + 120
a) 4(9 + n) = 120 36 + 4n = 120 -36 -36 4n = 84 /4 = /4 n = 21
In the equation 17 + 3(z - 2) - 11z = -7(z + 2) +14, when distributing the -7 would that make the equation: a) -7z - 14 + 14 b) -7z + 14 + 14
a, -7z - 14 + 14, because when you distribute the 7 you would distribute the negative sign with it.
Evaluate 2 | m - 3x | -p if m = -1, x = 2, and p = 4. a) 8 b) 10 c) 13 d) 15m
b) 2 | m - 3x | -p 2 | -1 - 3(2) | - 4 2 | -1 - 6| -4 2 | -7 | -4 2 (7) -4 14 - 4 10
Solve 2(y - 6) = 3y + 12 -y a) 0 b) no solution c) 7 d) all real numbers
b) 2(y - 6) = 3y + 12 -y 2y - 12 = 3y + 12 -y + 12 +12 2y = 3y + 24 -y 2y = 2y + 24 NO SOLUTION
A baseball costs $4.00. If the sales tax is 5%, what is the total price? a) $3.80 b) $4.20 c) $4.05 d) $4.50
b) x 105 100x = 420 - = - /100 /100 4 100 x = $4.20
Translate and solve the following verbal equation into an equation: The product of 2 more than a number and 10 is 36 more than 8 times the number. What is that number? a) 17 b) 4 c) 8 d) 3
c) 10(2 + n) = 36 + 8n 20 + 10n = 36 + 8n -8n - 8n 20 + 2n = 36 -20 -20 2n = 16 /2 /2 n = 8
Solve ax - 5 = b for a. a) x(b + 5) b) b -5/x c) b+ 5/x d) x(b - 5)
c) ax - 5 = b + 5 +5 ax = b + 5 /x /x a = b + 5/x
Solve r/n + t = 4v for r. a) r = 4vn - t b) r = v - 4t / n c) r = 4v + t / n d) r = 4v - t / n
d) r/n + t = 4v - t -t r/n = 4v - t /n /n r = 4v - t / n
Which ratio forms a proportion with 7/14? a) 4/9 b) 5/12 c) 2/5 d) 3/6
d, 3/6 simplifies to 1/2 as does 7/14.
What is the equation for percent of change?
new - old Ex. Original: 10 New: 12 ------------ 12 - 10 / 10 old
