Terms and Like Terms
x + x + 2 -3
terms: x, x, 2, -3
like terms:
x and x
2 and -3
(2y-6) + (7y +3)
9y - 3
or
9y + -3
y + 14.6 = -31.75
y = -46.36
A number x increased by 7 is 20
x + 7 = 20
x = 13
Multiply me with any other number and you will always get the same answer. What number am I?
0
How can you use eight 8s and only addition to make the number 1,000?
888 + 88 + 8 + 8 + 8 = 1,000
5(4 - 2x) + 15x
20 + 5x
m - 5/8 = -1/4
m = 3/8
The product of 5 and a number y is 45
5y = 45
y = 9
The monthly dues for a premium membership at a health club is $15 more than the cost of a standard membership. The premium membership is $40 per month. What is the cost of a standard membership?
40 = 15 + a
m = 25
m + 3n + 6n
Name terms:
Name like terms:
m + 3n + 6n
Name terms: m, 3n, 6n
Name like terms: 3n and 6n
2(6x - 1) - (x - 1)
11x + -1
11x - 1
-18v = -414
v = 23
A number w decreased by 12 is 15
w - 12 = 15
w = 27
I am thinking of a number. If you add 5 to it and then multiply the result by 3, you get 24. What number am I thinking of?
3
What is the smallest whole number that is equal to seven times the sum of its digits?
21
(2 + 1 = 3; 3 × 7 = 21)
(m - 5) - 2(6 + 2m)
-3m + -17
or
-3m - 17
5x - 8x =15
x = -5
The sum of a number a and negative 12 is 6
-12 + a = 6
or
a + -12 = 6
a = 18
The total cost of a boba tea and a sushi roll is $15.00. The sushi roll costs $10 more than the boba tea. How much does each item cost?
Boba Tea = x
Sushi Roll = x + 10
Total = x + (x + 10) = 15
2x+10=15
Boba Tea or x = $2.50
Sushi Roll = $12.50
-2t + 3t2 - 10 -14t
Name terms:
Name like terms:
-2t + 3t2 - 10 -14t
Name terms: -2t, 3t2, 10, -14t
Name like terms:
-2t, -14t
3t2
-10
4(x + 2) + 2(y + 2) + x + 3y
5x + 5y + 12
3(x + 1) = -24
x = -9
x less than a number 20 is 42
20 - x = 42
x = -22
Write and simplify an expression for the perimeter of a pentagon with the side lengths of 2x, 3x - 1, 2x + 4, 3x, and x +5?
2x + (3x - 1) + (2x + 4) + 3x + (x +5)
2x + 3x - 1 + 2x + 4 + 3x + x + 5
2x + 3x + 2x + 3x + x + (-1) + 4 + 5
11x + 8