Hints for solving the problems - Apply 2.1
Problem No. 2 - What are the terms in the expression?
3a³ - 2a²b + 7b² - 6
Terms are separated by positive and negative signs. The problem above has 4 terms.
The terms are: 3a³, -2a²b, 7b², and -6
Monomial is an expression with one term. 5ab
Binomial is an expression with two terms. 3xy - 4w
Trinomial is an expression with three terms. 4ab - 2x² + y³
Any expression with more terms does not have a name.
An expression with 5 terms would be: 2x²y - 3y² + 2x - 3y - 7
Problem No. 4 - Simplify: 8 - 4(a + 3)
Use the distributive property to multiply the -4 times both terms in the parenthesis and then combine like terms.
8 - 4a - 12 = -4a - 4 -4a - 4 is the answer.
Problem No. 8 – Simplify: 6a - 13 - 5a + 15
Combine the like terms and put the answer in descending order.
6a - 5a - 13 + 15 = a + 2 a + 2 is the answer
Problem No. 12 - Simplify: 7(b² + 2b) - 3(b - 5)
Use the distributive property to get rid of the parenthesis and combine like terms.
7b² + 14b - 3b + 15 = 7b² + 11b + 15 the answer
Problem No. 18 - Simplify: 4b(a + 5) - 7a - 2(3ab - b²)
Use the distributive property to get rid of the parenthesis and combine like terms.
4ab + 20b - 7a - 6ab + 2b² = 2b² - 2ab - 7a + 20b the answer
Problem No. 22 - Evaluate 8m + n - 17 when m = 5 and n = -1
Substitute the value of the variable for the variable, perform the operations and simplify.
8(5 ) + (-1) - 17
40 - 1 - 17
40 - 18 22 the answer
Problem No. 28 - Evaluate 2a³ - 7ab + 3ac - 10c + 8
when a = -2, b = 3, and c = 5
2(-2)³ - 8(-2)(3) + 3(-2)(5 ) - 10(5) + 8
2(-8 ) - (-16)(3) + (-6)(5) - 50 + 8
-16 - (-48) + (-30) - 50 + 8
-16 + 48 - 30 - 50 + 8
-16 - 30 - 50 + 48 + 8
-96 + 56 -40 is the answer