WorksheetsTopic 7 MA Equivalent Expressions
Total questions: 12
Worksheet time: 26mins
Name
Class
Date
1.
Expand 3(b+5)
a)
3b + 5
b)
3b + 15
c)
15b
d)
3b - 15
2.
Find a difference equivalent to the product
5(x-y)
5(x-y)
a)
5x - y
b)
x - 5y
c)
-5x - 5y
d)
5x - 5y
3.
A local bookstore is advertising $1 off the price of each book. You decide to buy 3 books. Let p represent the price of each book. Use the expression 3(p - 1). What do the factors of the product represent?
a)
p - 1 represents the number of books purchased and 3 represents the discounted price of each book.
b)
p - 1 represents the number of books purchased and 3 represents the original price of each book.
c)
3 represents the number of books purchased and p - 1 represents the original price of each book
d)
3 represents the number of books purchased and p - 1 represents the discounted price of each book.
4.
Expand the expression from the last problem...
3(p - 1)
What do the terms of the new expression represent?
3(p - 1)
What do the terms of the new expression represent?
a)
3p - 3; 3p represents the cost of the books before the discount and 3 represents the amount of the discount.
b)
3p - 3; 3p represents the cost of the books before the discount and 3 represents the original price.
c)
p - 3; p represents the cost of the books before the discount and 3 represents the amount of the discount
d)
p - 3; p represents the cost of the books before the discount and 3 represents the original price
5.
The perimeter of a square can be found using the formula P = 4s where s is the side length of the square. If you were to increase the length s by 6, the expression for the perimeter would become 4(s + 6). Expand the expression to represent the perimeter of the larger square.
a)
s + 24
b)
4s + 24
c)
5s + 10
d)
4s + 6
6.
Factor the algebraic expression.
40a + 15
40a + 15
a)
2(10a + 7.5)
b)
3(13a + 5)
c)
5(8a + 3)
d)
5(9a + 3)
7.
Which of the following expressions have like terms?
A. -6m + 4m D. 14m + mn
B. 5y + 2x E. 7xy - 4xy
C. t + 6.25t F. 6 - 8p
A. -6m + 4m D. 14m + mn
B. 5y + 2x E. 7xy - 4xy
C. t + 6.25t F. 6 - 8p
a)
A, C, E
b)
A, C
c)
C, E
d)
A, C, D
8.
An art teacher made a copy of a small painting. To make the painting easier to see, the teacher enlarged the area of the painting by 36%. Let c represent the area of the original painting. The expression below is one way to represent the area of the new painting. Find two equivalent expressions that would give the area of the new painting.
c + 0.36c
c + 0.36c
a)
c(1 + 0.36); 0.36c
b)
c(1 + 0.36); 1.36c
c)
c(1 + 0.36); 136c
d)
c(1 + 0.36); 1 + 0.36c
9.
Identify the coefficient:
8m + 7
8m + 7
a)
8
b)
7
c)
8 and 7
10.
Identify the constant:
9r + 3
9r + 3
a)
9
b)
3
c)
9 and 3
11.
Add.
(8x - 9) + (7x + 10)
(8x - 9) + (7x + 10)
a)
15x + 19
b)
x + 1
c)
x + 19
d)
15x + 1
12.
An art class is making a mural for their school which has a triangle drawn in the middle. The length of the bottom of the triangle is x. Another side is 13 more than four times the length of the bottom of the triangle. The last side is 4 more than the bottom of the triangle. Write and simplify an expression for the perimeter of the triangle.
a)
6x + 17
b)
4x + 17
c)
4x + 13
d)
6x + 13
100 %
