Show:
Writing Algebraic Expressions
Evaluating Algebraic Expressions
Simplifying Algebraic Expressions
Expanding and Factoring Algebraic Expressions
Real-World Problems: Algebraic Expressions
100
The sum of 9 and p
9 + p
100
x + x + 10 when x = 8
26
100
Simplify: v + v + 5 - 2
2v + 3
100
Expand: 9(4x - 7)
36x - 63
100
A van travels from Town A to Town B. It uses 1 gallon of gas for every 24 miles traveled. How many gallons of gas does the van use if it travels 3x miles?
x/8 gallons
200
The difference "21 less than z"
z - 21
200
33 - 7w + 6 when w = 4
11
200
3p - 2p + 5p
6p
200
Factor: 14r - 8
2(7r - 4)
200
A van travels from Town A to Town B. It uses 1 gallon of gas for every 24 miles. The van uses 2y gallons of gas for its journey from Town A to Town B. Find the distance between Town A and Town B.
48y miles
300
Multiply k by 5, and then add 3 to the product
5k + 3
300
(4 + 5z)/6 when z = 12
10 2/3
300
17 + 4w -12 -w
3w + 5
300
State whether the expressions are equivalent: 9(y - 2) and 18 - 9y
Not Equivalent
300
Jane thinks of a number y. She multiplies it by 3 and then subtracts 9 from the product. What is her answer? Evaluate the expression when y = 12
3y - 9 when y = 12, 25
400
Divide j by 9, and then multiply the quotient by 2
j/9 * 2
400
(5y + 2) minus (2y + 5) when y = 7
18
400
A book has a length of (b + 2) inches and a width of b inches. Write a simplified expression for the perimeter of the book.
(4b + 4) inches
400
Expand and simplify: 5(2p + 5) + 4(2p - 3)
18p + 13
400
There were 3 questions in a mathematics test. Selma earned m points for the first question and twice the number of points for the second question. How many points did she earn for the first two questions?
3m points
500
The sum of 1/3 of z and 1/5 of z
1/3z + 1/5z
500
The product of (y + 1) and (y - 1) when y = 7
48
500
A rectangular garden has a length of (y + 2) yards and a width of (4y-1) yards. Find the perimeter of the garden in terms of y.
(10y + 2) yd
500
Simplify each expression, then factor: 14x + 13 - 8x - 1
6(x + 2)
500
A rectangle has a width of x centimeters and a perimeter of 8x centimeters. A square has sides of length that are 1/4 that of the length of the rectangle. Find the length of the rectangle and the perimeter of the square.
length of rectangle = 3x cm perimeter of square = 3x cm