Write Algebraic Expressions/Equations
Ms. Jones runs 4 miles every day. Write an EQUATION that could be used to figure out how many days she ran for if she ran a total of 44 miles.
4d = 44 = 4d
Solve the following equation: x - 25 = 50
x = 75
Evaluate 2x + 12 when x = 8
28
Sally earns $30 per hour tutoring a 3rd grader in math. If she gets a one-time tip of $20, which expression represents how much she will make after h hours of tutoring?
A. 50h B. 30 + 20h C. 20 + 10h D. 30h + 20
D. 30h + 20
Alisa went to an amusement park. It cost her $7 just to enter. Then, it cost her an additional $2 per ride. Write an expression that can represent this situation if r is the number of rides Alisa went on.
7 + 2r
Solve the following equation: 8x = 88
x = 11
Evaluate 3x2 when x = 4
48
Write using exponential notation:
3 x 3 x 3 x 3 + 4 x 4 x 4 x 4 + 8 x 8
34 + 44 + 82
Write an expression to match: "the sum of 5 and a variable, x, which has a coefficient of 3"
5 + 3x or 3x + 5
Solve the following equation:
x/1.5 = 7
x = 10.5
Evaluate 5x2 - 2x when x = 3
39
Write an expression that is equivalent to 5(y + 7).
5y + 35
Mr. Land bought 5 staplers and spent a total of $32.50. Write AND solve an equation that can be used to determine c, the cost for one stapler.
5c = 32.50, c = 6.50
Solve the following equation: 11/2 x = 9
Evaluate 8x2 + 3w
when x = 1/2 and w = 6
20
Write an algebraic expression to represent the perimeter of a triangle if one side length is 4x + 2, another is 3x, and the last side is 6 - x. Simplify your expression!
6x + 8
Write an algebraic expression for the following: "6 less than double a number"
2n - 6
Solve the following equation:
21/4 x = 24.75
Evaluate 4y + 8x3 - k
when y = 12, x = 1/2, and k = 1
48
Write an equivalent expression for 48x + 60y
(Factor this expression using the GCF).
12(4x + 5y)