-4
3x
2m-7n
10
-x
100
Increased by 12
What is 8? Explanation: =-4 + 12 = you can switch the order as long as you keep the same signs = 12-4 = 8
100
increased by 4x
What is 7x? Explanation increase means to add. =3x + 4x = 7x
100
Increased by the quantity of 4m and 5n.
What is 6m - 2n? Explanation: Quantity means that both terms are added to 2m and -7n. = 2m - 7n + 4m + 5n = 2m and 4m are like terms = -7n and 5n are like terms = 6m - 2n
100
subtracted by 20
What is -10? Explanation: =10-20 = -10
100
plus 3x
What is 2x? Explanation: =-x + 3x = 2x
200
multiplied by three
What is -12? Explanation: =-4(3) = -4 three times = -4 + -4 + -4 = -12
200
decreased by the quantity of 5x and 1
What is -2x -1? decrease means to subtract. =3x - (5x +1) = Distribute the negative to both terms in the parentheses. = 3x -5x -1 = 3x and 5x are like terms. Subtract 5 from 3. = -2x -1
200
decreased by 8n
What is 2m -15n? Explanation: subtract 8n from -7n 7n is already negative, so we add 8n and 7n, but keep them negative. = 2m -7n -8n = 2m - 15n
200
multiplied by 2/5
What is 4? Explanation: Multiply by 2 first, then divide by 5. = 10(2)/5 = 20/5 = 4
200
increased by x.
What is 0? Explanation: = -x + x = Similar example: -2 + 2 = ? 0
300
decreased by nine
What is -13? Explanation: =-4 - 9 = -4 + -9 = -13
300
increased by 5x and decreased by 2y
What is 8x - 2y? Explanation: increase means to add and decrease means to subtract = 3x + 5x - 2y combine like terms = 8x - 2y
300
divided by 5
What is (2m-7n)/5? There are no common terms between 2 & 5 or 7 & 5, so we cannot simplify. Take the original terms and divide ALL of them by 5. = 2m - 7n all divided by 5 = (2m - 7n) / 5
300
decreased by the product of 5 and 2
What is 0? Explanation: Product means to multiply. = 10 - (5)(2) PEMDAS says to multiply first. = 10 - 10 = 0
300
and 7x have a difference of...
What is -8x? Explanation: Difference means to subtract the 2 numbers or terms. = -x-7x = -8x
400
divided by 10
What is -2/5 or -4/10 or -0.4? Explanation: -4/10 can be reduced by 2. -4/2 = -2 10/2 = 5 answer: -2/5
400
increased by 2y and 4
What is 3x + 2y + 4? Increase means to add the said terms. = 3x plus 2y plus 4. = 3x + 2y +4
400
increased by 12n and decreased by 9m
What is -7m + 5n? Explanation: increase means add and decrease means subtract. You will add 12n and subtract 9m. = 2m-7n +12n - 9m 2m and -9m are like terms and -7n and 12n are like terms = -7m + 5n
400
decreased by the quantity of 4x and 7
What is -4x +3? Explanation: =10 - (4x+7) Distribute the negative =10 -(4x) -(7) = 10 -4x-7 = 3 - 4x Put the final answer in standard form, with variables listed first. = -4x + 3
400
divided by -2
What is x/2? Explanation: =-x/-2 A negative divided by a negative is a positive number. = x/2
500
less than 10
What is 14? Explanation: less than means to subtract the first number from the second number 10 - -4 10+4 =14
500
decreased by 6x and 4
What is -3x + 4? Explanation: Decrease means to subtract, so you subtract the first term stated. The word "quantity" was not stated, so only the first term is subtracted. 3x minus 6x plus 4 = 3x - 6x + 4 = 3x and -6x are like terms, so combine = -3x + 4
500
distribute -4
What is -8m + 28n? Explanation: Originally set up the problem to look like -4(2m - 7n) Distribute means to multiply by a factor of -4 to both terms in the parentheses. = -4(2m) + -4(-7n) = -8m + 28n
500
divided by -1/2
What is -20? Explanation: Dividing by a fraction is the same as multiplying by its reciprocal. A reciprocal means to flip the fraction. =10 times (-2/1) = -20/1 =-20
500
divided by -1/5
What is 5x? Explanation: Dividing by a fraction is the same as multiplying by its reciprocal. =-x/(-1/5) = -x (5/-1) = -5x/-1 A negative divided by a negative is a positive. = 5x
M
e
n
u