Algebraic expressions
Identify the terms and like terms in the expression
1. z + 8 - 4z
What is z and -4z?
Find the sum:
(c - 4) + (3c + 9)
What is 4c + 5?
Simplify the expression:
2(a - 3)
What is 2a - 6?
Factor the expression using the GCF (identify the GCF first):
1. 18a - 12
2. 9 - 15x
What is
1. GCF= 6; 6(3a - 2)
2. GCF= 3; 3(3 - 5x)
Find the earnings for selling the same number of each type of sandwich
Turkey Ham
Pretzel roll $2.25 $1.55
Bagel $2.00 $1.30
What is $7.1x?
Identify the terms and like terms in the expression
2. 10x2 - y + 12 - 3x2
What is 10x2 and -3x2
Find the sum:
(5/4q + 1) + (q - 4) + (-1/4q + 2)
What is 2q - 1?
Simplify the expression:
-3(4x - 10)
What is -12x + 30?
Factor out the coefficient of the variable term:
1. 1/4y + 3/8
2. -5p + 20
What is
1. 1/4(y + 3/2)
2. -5(p - 4)
Greenland has a population of x people. Barbados has a population of about 4500 more than 5 times the population of Greenland. Find and interpret the difference in populations of these two countries.
What is 4x + 4500? The population between Barbados and Greenland is 4500 more than 4 times the population of Greenland.
Simplify the expression:
1. 6.4r - 7 - 2.9r
2. 2m - m - 7m
What is
1. 3.5r - 7
2. -6m
Find the difference:
(4 - 3.7b) - (-5.4b - 4) - (1.2b + 1)
What is 0.5b + 7?
Simplify the expression:
-7(1 - 3d - 5)
What is 21d + 28?
Factor out -3/4 out of 3/2x - 9/4y
What is -3/4(-2x + 3y)?
Mars has m moons. The number of moons of Pluto is 1 more than twice the number of moons on Mars. The number of moons of Neptune is 1 less than 3 times the number of moons of Pluto. Write a simplified expression that represents the number of moons of Neptune.
What is 6m + 2?
Simplify the expression:
3. 3/5x + 19 - 3/20x - 7
4. 2/3y + 14 - 1/6y - 8
What is
3. 9/20x + 12
4. 1/2y + 6?
Find the difference:
(4y + 3) - (2y - 9)
What is 2y + 12?
Simplify the expression:
9(-3w - 6.2 + 2w)
What is -9w - 55.8?
You and your 4 friends are buying tickets for a concert. The cost to buy one ticket is c dollars. If you buy all the tickets together, there is a discount and the cost is (5c - 12.5) dollars. How much do you save per ticket when you buy the tickets together?
What is $2.50?
The expression for degrees Fahrenheit is 9/5C + 32, where C represents degrees Celsius. The temperature today is 5 degrees Celsius more than yesterday. Write and simplify an expression for the difference in degrees Fahrenheit for these two days.
What is (9/5(C + 5) + 32) - (9/5C + 32), which simplifies to 9?
Write an expression with 4 different terms that is equivalent to 5x2 - 8.
Sample answer: 3x2 + 2x2 - 10 + 2
A basket holds n apples. You pick (2n - 3) apples, and your friend picks (n + 4) apples. How many apples do you and your friend pick together? How many baskets do you need to carry all the apples?
What is 3n + 1 and 4 baskets because of the extra 1 apple?
Simplify the expression:
2/5(d - 10) - 2/3(d + 6)
What is -4/15d - 8?
The rectangular pupil of an octopus is estimated to be 20 mm long with an area of (20x - 200) mm2. Write an expression that represents the perimeter (in mm) of the octopus pupil.
What is 2x + 20?
A building block has a square base that has a perimeter of (12x - 9) inches. Explain how to use the expression to find the length (in inches) of the wall shown on page 119 in your book.
What is The blocks have square bases, so the perimeter is 4 times the length of one side, or
P = 12x - 9 = 4(3x - 2.25).
Each side is (3x - 2.25) inches.
The wall is 7 blocks long, so the length of the wall is
7(3x - 2.25)
= (21x - 15.75) inches.