Identify the variable, coefficient, and constant.
5x + 12
Variable = x
Coefficient = 5
Constant = 12
100
Write the expression using exponents.
7 * g * g * g
7g^3
100
Write the phrase as an expression.
The sum of 123 and 456.
123 + 456
100
Tell which property the statements illustrate.
a.) h * 1 = h
b.) 7 * q = q * 7
c.) 4 + (3 + b) = (4 + 3) + b
d.) c + 0 = c
a.) Multiplication property of 1
b.) Commutative property of multiplication
c.) Associative property of addition
d.) Addition property of zero
100
Use the distributive property to simplify the expression.
7(j + 8)
7j + 56
200
Identify the variable, coefficient, and constant.
y + 13
Variable = y
Coefficient = 1
Constant = 13
200
Evaluate the expression when x=100, y=37, and z = 19
x - y + z
82
200
Write the phrase as an expression.
The quotient of 33 and w.
33 รท w
200
Simplify the expression. Explain each step.
(14 + y) + 3
(14 + y) + 3 = 14 + 3 + y = Commutative property of add.
(14 + y) + 3 = (14 + 3) + y = Associative property of add.
Answer = 17 + y
200
Use the distributive property to simplify the expression.
18(5 - 3w)
90 - 54w
300
Identify the variables, coefficients, and constants.
2x + 5 + 13y + 3
Variables = x and y
Coefficients = 2 and 13
Constants = 5 and 3
300
Evaluate the expression when a=5 and b=3
10a - 5b
35
300
Write the phrase as an expression.
17 subtracted from k.
k - 17
300
Simplify the expression. Explain each step.
173 * 55 * 0
173 * 55 * 0 = 0 Multiplication property of zero.
300
Use the distributive property to simplify the expression.
9(2e + e) - 3e
24e
400
Identify the variables, coefficients, and constants.
8m + 6a + 2t + 5h + 3i + s + 9f + 7u + 13n
Variables = m, a, t, h, i, s, f, u, n
Coefficients = 8, 6, 2, 5, 3, 1, 9, 7, 13
Constants = None
400
You earn $15 for mowing m lawns. How much money do you earn after mowing 1 lawn, 5 lawns, and 17 lawns?
1 lawn = $15
5 lawns = $75
17 lawns = $255
400
Write the phrase as an expression.
6 more than the product of 8 and a number x.
8a + 6
400
Simplify the expression.
17p + 33n + 12 - 7 + 2p
19p + 33n + 5
400
Kyle is k years old. His sister Kelsey is 2 years older than him. Gandalf the Grey is 107 times older than Kelsey. Write and simplify an expression that represents Gandalf the Grey's age in years.
Gandalf = 107(x + 2)
Answer = Gandalf the Grey is 107x + 214 years old.
500
Identify the variables, coefficients, and constants.
1/2(d) + 3/4 + 5e + 7f + 2/3 + g
Variables = d, e, f, and g
Coefficients = 1/2, 5, 7, and 1
Constants = 3/4 and 2/3
500
Mr. Fort is taking the 6th grade class to see the new Star Wars VIII movie. It costs $11 for an adult ticket and $6 for a student. How much will the total price be if there are 39 students and 3 adults going?
$11a + $6s = $11(3) + $6(39)
Answer = $267
500
The sides of a square each have a length of 13x. Write an expression to determine the perimeter of the square.
4(13x) = 52x
or
13x + 13x + 13x + 13x = 52x
500
Write and simplify an expression for the perimeter of a rectangle that has a length of 15d + 11 and a height of 13 + 26d
The cost of a lightsaber in dollars is represented as 4999 - y, where y equals the galactic store discount. Use the distributive property to write and simplify an expression for the cost of 4 lightsabers for General Grievous' collection.