State whether the following expressions are like terms:
11 p and 3 p
2 p and 15
9 p and 6 q
12 and 8
5 h and 5 h k
4 h^{4} and 3 h
8 h^{3} k^{4}and 9 k^{4} h^{3}
6 h^{k}and 7 k^{h}
Consider the expression: 3x+5x
Write the term 3x in expanded form.
Write the term 5x in expanded form.
Write 3x+5x as a sum of variables.
Simplify the expression.
Consider the expression: 6y-4y
Write the term 6y in expanded form.
Write the term -4y in expanded form.
Write 7y-4y as a sum and difference of variables.
Simplify the expression.
Simplify the following expressions:
Consider the expression: 2p\times 3q
Expand the term 2p into a product of a number and a variable.
Expand the term 3q into a product of a number and a variable.
Write 2p\times 3q as a product of numbers and variables.
Simplify the expression.
Simplify the following expressions:
Simplify the following expressions:
Convert the expression 14 y w \div 2 y w to a fraction and then simplify.
Expand the following expressions:
Expand and simplify:
Expand the following expressions:
Expand and simplify:
Dylan purchased 3 pens, 4 pencils and a single note pad. The total cost of all these items was 3 x + 4 y + 5 dollars.
What does the variable y represent?
What does the variable x represent?
What does 5 represent?
Deborah earns \$25 per hour of work and is paid double for every hour worked on the weekend. At the end of a week, Deborah calculates her pay for that week to be 25 x + 50 y dollars.
What represents the number of hours Deborah worked during the weekdays?
What represents the number of hours Deborah worked during the weekends?
Mohamad and Valentina run a clothes business. Mohamad is able to sew 5 shirts an hour, while Valentina is able to sew 3 shirts an hour. The expression 6 \left(5 + 3\right) represents the total number of shirts the couple is able to produce in a six-hour period.
What does 5 + 3 represent?
Brad and Patricia are making paper cranes to decorate their room. Brad can make m an hour while Patricia can make n an hour. Brad spends 6 hours making cranes while Patricia spends 5 hours over the weekend.
Together they make a total of 6 m + 5 n paper cranes over the weekend.
What does 6 m represent?
What does 5 n represent?