Combine Like Terms
Simplify. 4c - 2d + 9c + 6d
13c + 4d
Simplify. -2(2j - 3k)
-4j + 6k
Solve for the variable.
2 + 3x = 23
x = 7
Henry rents some tents for $458 and some chairs for $2 each for a party. He spends a total of $1500. Write and solve an equation to find the number of chairs that Henry rents, c.
c = 521 chairs
Write an expression that represents the perimeter of the quadrilateral that has sides: 4/5d - 9, 2d, 4d - 6, 12d + 4.
18 4/5d - 11
Simplify. 2a + 3b -7a + 4b
-5a + 7b
Simplify. -3(6h + 7)
-18h - 21
Solve for the variable.
5(2m - 10) = 30
m = 8
A plumber charges a flat fee of $45.00 for a service call plus $65.00 per hour of work. If the total bill for a repair was $272.50, how many hours did the plumber work?
h = 3.5 hours
Select all expressions equivalent to -4m + 16
A. -4(m + 8)
B. -8 + -2m -2m + 24
C. 2(2m - 8)
D. -4(m - 4)
B and D
DOUBLE JEOPARDY!
How many times has Mrs. Goncalves been inducted into the Hall of Fame for soccer?
A) 0
B) 1
C) 2
D) 3
c) 2 times
Simplify. 6(2/3r + 4)
4r + 24
Solve for the variable.
1 + n/4 = 6
n = 20
A rectangle has a length of (3x + 2) inches and a width of (2x - 1) inches. If the total perimeter of the rectangle is 42 inches, what is the value of x?
x = 4inches
Solve for x. 60 = -5(3x - 6)
x = -2
Select all the expressions that are equivalent to
2m + 5m + 7 - 4m - 3
A) 11m + 11
B) 3m + 4
C) 11m - 4
D) 2m + 4 + m
B and D
Simplify. 6(2/3r + 4) - 3r
r + 24
-4(3m + 5) + 2m = 40
m = -6
A square has a side length of (5x - 4) centimeters. If the perimeter of the square is 64 centimeters, what is the value of x? Write and solve an equation to find the value of x. Show your work algebraically.
x = 4 cm
What is the value of m so that the expression
20 + 4x is equivalent to m(10 + 2x)?
m = 2
Suppose A =5m - 9 and B = -3m + 4
Simplify the expression A - B
8m - 13
Simplify. 4(2m - 9) - (2m - 10)
6m - 26
Solve for the variable.
10(-4/5r + 3) = 94
r = -8
A local car wash offers a "Pro Detail" package. They charge a flat entry fee of $5.50 plus 75¢ per minute for the interior vacuuming. If the total bill for a car wash and detailing was $28.00, how many minutes did the vacuuming take?
m = 30 minutes
Solve for the variable.
7 + 5m - 4 + 10m - 7 = 26
m = 2