Expressions
Simplify the expression: 6.2 + 8.9w - 12 - 11.2w - 6.2
-2.3w - 12
Solve the equation: 17 - 1/9x = 10
x = 63
Solve and graph: x - 15 > -20
x > -5
Mr. Peters just purchased a total of eight shrubs and trees for his yard. The total bill was $260. The shrubs cost $25 each and the trees cost $110 in total. Write an equation to determine the number of shrubs purchased.
25x + 110 = 260
x = 6
Solve for x. -3 - 0.5x + 13 = 0.3x + 6.2
x = 4.75
Simplify the expression: 7.8c + 6p - 3.4c -10
4.4c + 6p - 10
Solve for x. 34 = -2 + 9x + 16 + x
x = 2
Solve and graph: c/2 ≤ -0.75
c < -1.5
A mom bought her kids 3 cartons of milk for $1.25 and 6 doughnuts. The total cost was $6.90. Write an equation to determine the cost of a doughnut.
3.75 + 6x = 6.90
x = 0.53
Solve for x. 3 - 5(x+4) = 8(2x - 3)
x = 1/3
Factor: -6b - 15
-3(2b + 5)
Solve the equation: -0.2(25x + 5) - 5 = 4
x = -2
Solve and graph: -2.5d ≥ 30
d < -12
Hayden earns $9.50 per hour as a lifeguard. He earns a bonus of $50.00 for taking a training course. How many hours must he work to earn at least $300.00? Write the inequality and the solution.
9.50h + 50 > 300
h > 26.3
Michelle simplified an expression for the perimeter of the rectangle below and got ⅚x + 35. Explain her error, and include the correct expression for the perimeter.
Length: 5/6x + 23
Width: 12
5/3x + 70
Factor: 10c - 25
5(2c - 5)
Solve for g. ½(6g + 2) = 12
g = 11/3
Solve and graph: -3x - 11 > 45
x < -18.6 repeating
An online music service charges a $12.00 registration fee plus $1.50 for each song downloaded. If Mary Beth has a gift card with $60.00, then how many songs can she download? Write the inequality and the solution.
1.50x + 12 < 60
x < 32
Write an expression for the area of the rectangle in the previous problem.
Length: 5/6x + 23
Width: 12
10x + 276
Simplify the expression: -4/3(15x + 30) + 5
-20x - 35
Solve for m. 6m + 4(-2m + 6) = 10
m = 7
Solve and graph: 16 ≥ 6 + x/2
x < 20
The area of the parallelogram is 9 square inches. Set up and solve an equation to find the value of x. Write the equation and the solution.
Length: 1/9x - 2
Width: 3
1/3x - 6 = 9
x = 45
2/3(x+3)≥3
x > 3/2