Order of Operations - Distributive Property - Combining Like Terms

Sample Problems from Worksheet

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Algebra 1
Basics Review – Distributive Property/Order of Operations

Add, Subtract, Multiply, or Divide (2 points each):

3. 15 ÷ –3

16. –1.6 + 3.2

Simplify using Order of Operations (4 points each):
19. (8 – 11)(4 – 10)

Simplify by using the Distributive Property and Combining Like Terms (3 points each):
26. 5(2x + 10)

Simplify using the Distributive Property and THEN evaluate (there are TWO answers for each problem!)
(2 points for each answer):
31. 5m – 3(4 – m) + 8 when m = 3

Define a variable (using a “Let” statement) and write an expression for each phrase (3 points each):
33. 12 more than the product of a number and 10

True or False (1 point each):
35. ________ The quotient of two negative numbers is always positive.
36. ________ A coefficient is a number that is not being multiplied by a variable.
37. ________ The difference of two negative numbers is always negative.
39. ________ Terms are like when the variables and exponents match exactly.
40. ________ The absolute value of |-9| is less than the absolute value of |–7 –
41. ________ You studied for this test.