Writing Expressions
Write the phrase as an expression:
the difference of a number x and 6.4
x - 6.4
Evaluate the following expression:
2x - y, x = -4 and y = -2
-6
What is the GCF of 36 and 48?
12
Simplify:
20 ÷ (4 − (10 − 8))
10
The expression 20a + 13c is the cost for "a" adults and "c" students to enter the Miami Science Museum. Find the total cost for 4 adults and 24 students.
$392
Write the phrase as an expression:
2 times a number less than 10
10 - 2n
Evaluate the following expression:
(a - 4b) + c - b
a = -1, b = -2, c = 5
14
What is the GCF of 24x2y4z and 18xyz3
6xyz
Simplify:
(6 − 4) × 49 ÷ 7
14
In Charlotte's sewing kit, there are "t" bundles of thread. Each bundle has 34 feet of thread. How many feet of thread does Charlotte have if she has 2 1/2 bundles?
85 feet
Write the phrase as an expression:
Half a number more than twice the number
2n + n/2
Evaluate the following expression:
z - (y ÷ 4)
y = 12, z = -6
-9
Factor out the GCF:
2x4 + x3
x3(2x + 1)
Simplify:
8 × 15 ÷ 5 − (5 + 9)
10
A roll of ribbons is 150 inches long. There are 6 colors of ribbons. If Amelia used 2 inches from each roll, how much ribbon does she have left?
138 inches
Write the phrase as an expression:
the quotient of 6 times x and 4 less than y
Evaluate the following expression:
y(4 - x - xy)
x = -1, y = 4
36
Factor out the GCF:
8ab2 -12a2b3c
4ab2(2 - 3abc)
Simplify:
45 ÷ (8(5 − 4) − 3)
9
Ken and Donna are driving from Baltimore, MD to Richmond, VA for a wedding. The total distance they must drive is 131 miles. Since the reception is late, they decided to get a bite to eat along the way. They want the first part of the trip to be 65 miles more than the second part. How many miles will they drive before they stop?
98 miles
Write the phrase as an expression:
the product of 10 and b more than the difference of x and y.
(x-y) + 10b
Evaluate the following expression:
y ÷ 5 + 1 + x ÷ 6
x = 6, and y = 5
3
Factor out the GCF:
12p3 - 22p2 -14p
2p(6p2 -11p - 7)
Simplify:
(2 + 6 × 2 + 2 − 4) × 2
24
Amanda wants to put a decorative border around her kitchen. Her kitchen is rectangular in shape and although she does not remember the exact dimensions, she does remember that the width of the kitchen is 5 feet more than the length. If the perimeter of the kitchen is 70 feet, find the width.
15 feet