Expressions
Rewrite the equation by combining like terms:
6x + 3x
9x
Substitute to evaluate the expression:
4a - 12 a = 5
8
Write an equation for five less than three times a number is 19.
3n - 5 = 19
Solve the equation:
3x - 5 =1
x = 2
Rewrite the expression by combining like terms:
5a - 2b
5a - 2b
Substitute to evaluate:
17 - 9m m = 2
-1
There are a total of 90 sopranos and altos in Aliza's school chorus. The number of altos in the chorus is 9 less than twice the number of sopranos. Write an equation to represent this situation.
2a - 9 + a = 90
3a - 9 = 90
Solve:
3a - 9 = 90
a = 33
Rewrite the expression by combining like terms:
8w - 12w + 7
-4w + 7
Substitute to evaluate the expression:
-4b + 3 b = 2
-5
There are 48 students on the Jackson Middle School basketball teams, consisting of 7th-graders and 8th-graders only. The number of 8th-graders is 12 fewer than four times the number of 7th-graders. Write an equation to represent the situation.
a + 4a -12 = 48
5a - 12 = 48
Solve:
9c - 12 = -3
c = 1
Rewrite the expression by combining like terms:
-6k - k
-7k
Substitute to evaluate the expression:
-2f - 12 f = -7
2
Rachel ordered early learning software for her daughter from an online retailer. Each item costs $4.50, and there is a shipping fee of $9.75 for the entire order. It all cost 27.75
4.5r + 9.75 = 27.75
Solve:
23 = 6d + 5
d = 3
Rewrite the expression by combining like terms:
4 + 6n - 3 - 3n
1 + 3n
Substitute to evaluate the expression:
4 - 2t t = -3
10
Nadine ordered T-shirts for her chess club from a website. Each shirt is $8 and Nadine has a coupon for $12.50 off her total order. The total order cost $67.50
8s - 12.50 = 67.5
(w/4) + 8 = 2
w = -24